id	sid	eid	entity	type
ejpam-2305	1	1	european journal	ORG
ejpam-2305	1	2	8	CARDINAL
ejpam-2305	1	3	1	CARDINAL
ejpam-2305	1	4	2015	DATE
ejpam-2305	1	5	126	CARDINAL
ejpam-2305	1	6	1307-5543	CARDINAL
ejpam-2305	3	1	naser zamani1	PERSON
ejpam-2305	3	2	⇤	ORG
ejpam-2305	3	3	ardabili	PERSON
ejpam-2305	3	4	ardabil	ORG
ejpam-2305	3	5	iran 2	ORG
ejpam-2305	3	6	shahid madani university	PERSON
ejpam-2305	3	7	tabriz	GPE
ejpam-2305	3	8	iran	GPE
ejpam-2305	5	1	3	CARDINAL
ejpam-2305	5	2	5	CARDINAL
ejpam-2305	5	3	2010	DATE
ejpam-2305	5	4	11g05	CARDINAL
ejpam-2305	5	5	selmer group	ORG
ejpam-2305	5	6	1	CARDINAL
ejpam-2305	6	1	mordell-weil	ORG
ejpam-2305	6	2	abelian	NORP
ejpam-2305	6	3	zero	CARDINAL
ejpam-2305	11	1	1	CARDINAL
ejpam-2305	16	1	4	CARDINAL
ejpam-2305	17	1	3,5	CARDINAL
ejpam-2305	17	2	u4+	PRODUCT
ejpam-2305	18	1	2	CARDINAL
ejpam-2305	18	2	5	CARDINAL
ejpam-2305	19	1	2	CARDINAL
ejpam-2305	22	1	0	CARDINAL
ejpam-2305	22	2	two	CARDINAL
ejpam-2305	22	3	0 2 z	QUANTITY
ejpam-2305	23	1	2p	CARDINAL
ejpam-2305	24	1	2 z	CARDINAL
ejpam-2305	26	1	n. zamani	PERSON
ejpam-2305	26	2	a. shams	PERSON
ejpam-2305	27	1	126	CARDINAL
ejpam-2305	27	2	2015	CARDINAL
ejpam-2305	28	1	n. zamani	PERSON
ejpam-2305	28	2	a. shams	PERSON
ejpam-2305	29	1	j. pure	PERSON
ejpam-2305	29	2	8 (	PERCENT
ejpam-2305	29	3	126	CARDINAL
ejpam-2305	30	1	gcd(a	GPE
ejpam-2305	30	2	z.	PERSON
ejpam-2305	31	1	0	CARDINAL
ejpam-2305	32	1	0	CARDINAL
ejpam-2305	33	1	0	CARDINAL
ejpam-2305	34	1	4pb2)2	CARDINAL
ejpam-2305	36	1	first	ORDINAL
ejpam-2305	36	2	1	CARDINAL
ejpam-2305	37	1	2 z	CARDINAL
ejpam-2305	38	1	1	CARDINAL
ejpam-2305	39	1	2	CARDINAL
ejpam-2305	41	1	0 6=	CARDINAL
ejpam-2305	41	2	2	CARDINAL
ejpam-2305	41	3	2	CARDINAL
ejpam-2305	42	1	2p	CARDINAL
ejpam-2305	44	1	6=	DATE
ejpam-2305	45	1	x3 + 4px	FAC
ejpam-2305	46	1	0	CARDINAL
ejpam-2305	47	1	gcd(a	GPE
ejpam-2305	47	2	1	CARDINAL
ejpam-2305	48	1	0	CARDINAL
ejpam-2305	51	1	x2/(�	PERSON
ejpam-2305	52	1	2	CARDINAL
ejpam-2305	52	2	3	CARDINAL
ejpam-2305	54	1	2	CARDINAL
ejpam-2305	54	2	3	CARDINAL
ejpam-2305	54	3	2p	CARDINAL
ejpam-2305	55	1	2p	CARDINAL
ejpam-2305	55	2	0	CARDINAL
ejpam-2305	56	1	0	CARDINAL
ejpam-2305	58	1	0	CARDINAL
ejpam-2305	59	1	4p)2 4(x3	DATE
ejpam-2305	60	1	16p2	CARDINAL
ejpam-2305	60	2	3x4	CARDINAL
ejpam-2305	60	3	0	CARDINAL
ejpam-2305	61	1	12x2	CARDINAL
ejpam-2305	61	2	0 16	DATE
ejpam-2305	61	3	192x4	CARDINAL
ejpam-2305	64	1	1	CARDINAL
ejpam-2305	66	1	lemma 1	ORG
ejpam-2305	66	2	o	DATE
ejpam-2305	67	1	2	CARDINAL
ejpam-2305	67	2	o	DATE
ejpam-2305	67	3	0	CARDINAL
ejpam-2305	68	1	lutz-nagell theorem	PERSON
ejpam-2305	68	2	28p3	CARDINAL
ejpam-2305	68	3	1,22	CARDINAL
ejpam-2305	68	4	24	DATE
ejpam-2305	68	5	26	DATE
ejpam-2305	68	6	28	DATE
ejpam-2305	68	7	22p2	DATE
ejpam-2305	68	8	24p2	CARDINAL
ejpam-2305	68	9	26p2	EVENT
ejpam-2305	68	10	28p2	PERSON
ejpam-2305	69	1	2p	CARDINAL
ejpam-2305	70	1	3x2 + 4p)2	CARDINAL
ejpam-2305	70	2	2x	CARDINAL
ejpam-2305	70	3	4p)2 4(x3	DATE
ejpam-2305	70	4	n. zamani	PERSON
ejpam-2305	70	5	a. shams	PERSON
ejpam-2305	71	1	j. pure	PERSON
ejpam-2305	71	2	8 (	PERCENT
ejpam-2305	71	3	126	CARDINAL
ejpam-2305	71	4	1	CARDINAL
ejpam-2305	71	5	2p	CARDINAL
ejpam-2305	73	1	4	CARDINAL
ejpam-2305	73	2	16	CARDINAL
ejpam-2305	73	3	64	CARDINAL
ejpam-2305	73	4	2, 64	DATE
ejpam-2305	73	5	7	CARDINAL
ejpam-2305	73	6	9	CARDINAL
ejpam-2305	73	7	2	CARDINAL
ejpam-2305	73	8	225	CARDINAL
ejpam-2305	73	9	4p2	CARDINAL
ejpam-2305	73	10	16p2 ±1,±2,±4,±8,±16,±p,±2p	QUANTITY
ejpam-2305	73	11	±4p,±8p,±16p	NORP
ejpam-2305	73	12	64p2	CARDINAL
ejpam-2305	73	13	±p,±2p,±4p,±8p,±16p,±32p	CARDINAL
ejpam-2305	73	14	±16p2,±32p2,±64p2,±64p2	CARDINAL
ejpam-2305	73	15	14	CARDINAL
ejpam-2305	73	16	3136	CARDINAL
ejpam-2305	73	17	7	CARDINAL
ejpam-2305	73	18	9	CARDINAL
ejpam-2305	73	19	62, 246016	DATE
ejpam-2305	73	20	31	CARDINAL
ejpam-2305	73	21	225 16	CARDINAL
ejpam-2305	73	22	1	CARDINAL
ejpam-2305	76	1	zero	CARDINAL
ejpam-2305	76	2	2p	CARDINAL
ejpam-2305	77	1	2p 2	CARDINAL
ejpam-2305	77	2	t .	DATE
ejpam-2305	78	1	3	CARDINAL
ejpam-2305	78	2	4	CARDINAL
ejpam-2305	82	1	k.	PERSON
ejpam-2305	85	1	galois cohomology	PERSON
ejpam-2305	88	1	n. zamani	PERSON
ejpam-2305	88	2	a. shams	PERSON
ejpam-2305	89	1	j. pure	PERSON
ejpam-2305	89	2	8 (	PERCENT
ejpam-2305	89	3	126	CARDINAL
ejpam-2305	97	1	# # #	MONEY
ejpam-2305	100	1	⇧	ORG
ejpam-2305	100	2	2	CARDINAL
ejpam-2305	104	1	2	CARDINAL
ejpam-2305	105	1	2	CARDINAL
ejpam-2305	105	2	1	CARDINAL
ejpam-2305	105	3	4	CARDINAL
ejpam-2305	105	4	e. theorem 2.	ORG
ejpam-2305	105	5	2	CARDINAL
ejpam-2305	107	1	2	CARDINAL
ejpam-2305	108	1	2	CARDINAL
ejpam-2305	108	2	2	CARDINAL
ejpam-2305	109	1	1	CARDINAL
ejpam-2305	110	1	1	CARDINAL
ejpam-2305	110	2	2	CARDINAL
ejpam-2305	111	1	2	CARDINAL
ejpam-2305	111	2	0q	CARDINAL
ejpam-2305	114	1	4	CARDINAL
ejpam-2305	114	2	2.1	CARDINAL
ejpam-2305	114	3	4.1	CARDINAL
ejpam-2305	114	4	4.2	CARDINAL
ejpam-2305	115	1	1	CARDINAL
ejpam-2305	116	1	4p	CARDINAL
ejpam-2305	116	2	s('̃)(ẽ/q	PERSON
ejpam-2305	117	1	16p	CARDINAL
ejpam-2305	118	1	n. zamani	PERSON
ejpam-2305	118	2	a. shams	PERSON
ejpam-2305	119	1	j. pure	PERSON
ejpam-2305	119	2	8 (	PERCENT
ejpam-2305	119	3	126	CARDINAL
ejpam-2305	120	1	1	CARDINAL
ejpam-2305	120	2	1)\	CARDINAL
ejpam-2305	120	3	2	CARDINAL
ejpam-2305	120	4	4p	CARDINAL
ejpam-2305	120	5	4p	CARDINAL
ejpam-2305	121	1	0p	CARDINAL
ejpam-2305	121	2	1}\	CARDINAL
ejpam-2305	121	3	16p	CARDINAL
ejpam-2305	121	4	16p	CARDINAL
ejpam-2305	122	1	4	CARDINAL
ejpam-2305	122	2	2	CARDINAL
ejpam-2305	122	3	2(u4	CARDINAL
ejpam-2305	122	4	4(u2	CARDINAL
ejpam-2305	123	1	v2)(u4	ORG
ejpam-2305	123	2	e. let ẽ	ORG
ejpam-2305	124	1	↵	PERSON
ejpam-2305	124	2	↵̃	ORG
ejpam-2305	124	3	↵	PERSON
ejpam-2305	125	1	2	CARDINAL
ejpam-2305	126	1	2 ↵	ORG
ejpam-2305	126	2	8	CARDINAL
ejpam-2305	126	3	1	CARDINAL
ejpam-2305	126	4	6=	DATE
ejpam-2305	126	5	0 ↵̃(p	PRODUCT
ejpam-2305	127	1	8	CARDINAL
ejpam-2305	127	2	1	CARDINAL
ejpam-2305	127	3	6=	DATE
ejpam-2305	127	4	7	CARDINAL
ejpam-2305	128	1	2	CARDINAL
ejpam-2305	128	2	2	CARDINAL
ejpam-2305	128	3	6	CARDINAL
ejpam-2305	128	4	2r	CARDINAL
ejpam-2305	129	1	#↵̃(	MONEY
ejpam-2305	129	2	4	CARDINAL
ejpam-2305	130	1	2	CARDINAL
ejpam-2305	130	2	↵	PERSON
ejpam-2305	130	3	↵̃(	PERSON
ejpam-2305	130	4	2 ↵	CARDINAL
ejpam-2305	130	5	d|4p	ORG
ejpam-2305	130	6	2 ↵̃(	QUANTITY
ejpam-2305	131	1	16p	CARDINAL
ejpam-2305	131	2	3	CARDINAL
ejpam-2305	131	3	4p	CARDINAL
ejpam-2305	131	4	n. zamani	PERSON
ejpam-2305	131	5	a. shams	PERSON
ejpam-2305	132	1	j. pure	PERSON
ejpam-2305	132	2	8 (	PERCENT
ejpam-2305	132	3	126	CARDINAL
ejpam-2305	132	4	131	CARDINAL
ejpam-2305	132	5	ed t4	PERSON
ejpam-2305	132	6	16p	CARDINAL
ejpam-2305	132	7	1	CARDINAL
ejpam-2305	132	8	16p	CARDINAL
ejpam-2305	132	9	1	CARDINAL
ejpam-2305	132	10	w	ORG
ejpam-2305	133	1	± 1,±2,±4,±p,±2p,±4p	CARDINAL
ejpam-2305	133	2	± 1,±2,±4,±8,±16,±p,±2p,±4p,±8p,±16p	CARDINAL
ejpam-2305	133	3	↵	PERSON
ejpam-2305	133	4	1),	CARDINAL
ejpam-2305	133	5	4p	CARDINAL
ejpam-2305	133	6	↵̃(	PERSON
ejpam-2305	133	7	1),	CARDINAL
ejpam-2305	133	8	2 ↵	CARDINAL
ejpam-2305	133	9	2 ↵̃(	QUANTITY
ejpam-2305	134	1	4p	CARDINAL
ejpam-2305	134	2	6=	CARDINAL
ejpam-2305	134	3	16p	CARDINAL
ejpam-2305	135	1	2	CARDINAL
ejpam-2305	135	2	9s,9s̃	CARDINAL
ejpam-2305	135	3	2s	CARDINAL
ejpam-2305	135	4	2	CARDINAL
ejpam-2305	135	5	2s̃	CARDINAL
ejpam-2305	135	6	2	CARDINAL
ejpam-2305	135	7	d̃	ORG
ejpam-2305	136	1	#	CARDINAL
ejpam-2305	136	2	0	CARDINAL
ejpam-2305	136	3	#	CARDINAL
ejpam-2305	136	4	1	CARDINAL
ejpam-2305	136	5	6=	CARDINAL
ejpam-2305	138	1	2	CARDINAL
ejpam-2305	138	2	2	CARDINAL
ejpam-2305	138	3	2	CARDINAL
ejpam-2305	139	1	↵	PERSON
ejpam-2305	140	1	3	CARDINAL
ejpam-2305	140	2	↵̃(	PERSON
ejpam-2305	141	1	two	CARDINAL
ejpam-2305	141	2	2	CARDINAL
ejpam-2305	141	3	2	CARDINAL
ejpam-2305	141	4	2	CARDINAL
ejpam-2305	141	5	2	CARDINAL
ejpam-2305	141	6	1	CARDINAL
ejpam-2305	141	7	2u2 ±	CARDINAL
ejpam-2305	141	8	2p	CARDINAL
ejpam-2305	141	9	2pt4	ORG
ejpam-2305	141	10	1	CARDINAL
ejpam-2305	141	11	2u2 ±	CARDINAL
ejpam-2305	141	12	3	CARDINAL
ejpam-2305	142	1	2 2t4	DATE
ejpam-2305	142	2	2p	CARDINAL
ejpam-2305	142	3	2pt4	MONEY
ejpam-2305	142	4	n. zamani	PERSON
ejpam-2305	142	5	a. shams	PERSON
ejpam-2305	143	1	j. pure	PERSON
ejpam-2305	143	2	8 (	PERCENT
ejpam-2305	143	3	126	CARDINAL
ejpam-2305	143	4	4	CARDINAL
ejpam-2305	143	5	d̃	ORG
ejpam-2305	143	6	1	CARDINAL
ejpam-2305	143	7	t4	PERSON
ejpam-2305	143	8	+ 16pz4	DATE
ejpam-2305	143	9	2	CARDINAL
ejpam-2305	143	10	2t4 + 8pz4	DATE
ejpam-2305	143	11	2p	CARDINAL
ejpam-2305	143	12	2pt4 + 8z4	MONEY
ejpam-2305	143	13	3	CARDINAL
ejpam-2305	143	14	w	ORG
ejpam-2305	145	1	3	CARDINAL
ejpam-2305	145	2	2t4	CARDINAL
ejpam-2305	145	3	gcd(t,	ORG
ejpam-2305	145	4	8p	CARDINAL
ejpam-2305	146	1	1	CARDINAL
ejpam-2305	146	2	3	CARDINAL
ejpam-2305	146	3	w	GPE
ejpam-2305	146	4	2|t	CARDINAL
ejpam-2305	146	5	gcd(t,	ORG
ejpam-2305	146	6	8)	CARDINAL
ejpam-2305	146	7	1	CARDINAL
ejpam-2305	148	1	3	CARDINAL
ejpam-2305	150	1	3,5	CARDINAL
ejpam-2305	151	1	5	CARDINAL
ejpam-2305	151	2	5	CARDINAL
ejpam-2305	151	3	3	CARDINAL
ejpam-2305	151	4	legendre	ORG
ejpam-2305	151	5	2t4	CARDINAL
ejpam-2305	151	6	2 6	CARDINAL
ejpam-2305	151	7	3t4 + 4z4	CARDINAL
ejpam-2305	151	8	6t4 + 2z4	CARDINAL
ejpam-2305	151	9	1	CARDINAL
ejpam-2305	151	10	2t4	CARDINAL
ejpam-2305	151	11	24z4	CARDINAL
ejpam-2305	151	12	2 24	DATE
ejpam-2305	151	13	3t4	CARDINAL
ejpam-2305	151	14	16z4	CARDINAL
ejpam-2305	151	15	3 16	CARDINAL
ejpam-2305	151	16	6 8	TIME
ejpam-2305	151	17	t4	PERSON
ejpam-2305	151	18	1 48	CARDINAL
ejpam-2305	151	19	2t4 + 24z4	DATE
ejpam-2305	151	20	2 24	DATE
ejpam-2305	151	21	3t4 + 16z4	CARDINAL
ejpam-2305	151	22	3 16	CARDINAL
ejpam-2305	151	23	4 12	CARDINAL
ejpam-2305	151	24	6t4 + 8z4	MONEY
ejpam-2305	151	25	6 8	TIME
ejpam-2305	151	26	1 not †	DATE
ejpam-2305	151	27	n. zamani	PERSON
ejpam-2305	151	28	a. shams	PERSON
ejpam-2305	152	1	j. pure	PERSON
ejpam-2305	152	2	8 (	PERCENT
ejpam-2305	152	3	126	CARDINAL
ejpam-2305	152	4	133	CARDINAL
ejpam-2305	152	5	6	CARDINAL
ejpam-2305	152	6	#qq(e	MONEY
ejpam-2305	152	7	2	CARDINAL
ejpam-2305	152	8	106	CARDINAL
ejpam-2305	152	9	7	CARDINAL
ejpam-2305	152	10	5	CARDINAL
ejpam-2305	152	11	legendre	ORG
ejpam-2305	152	12	2t4	CARDINAL
ejpam-2305	153	1	2 10	CARDINAL
ejpam-2305	153	2	+ 5z4	CARDINAL
ejpam-2305	153	3	4 5	CARDINAL
ejpam-2305	153	4	1	CARDINAL
ejpam-2305	153	5	1	CARDINAL
ejpam-2305	153	6	1,3	CARDINAL
ejpam-2305	153	7	5t4 + 4z4	CARDINAL
ejpam-2305	153	8	1	CARDINAL
ejpam-2305	153	9	1	CARDINAL
ejpam-2305	153	10	1,3	CARDINAL
ejpam-2305	153	11	10t4 + 2z4	DATE
ejpam-2305	153	12	2 10	DATE
ejpam-2305	153	13	1	CARDINAL
ejpam-2305	153	14	2t4	CARDINAL
ejpam-2305	153	15	40z4	CARDINAL
ejpam-2305	153	16	2 40	CARDINAL
ejpam-2305	153	17	5t4	CARDINAL
ejpam-2305	153	18	16z4	CARDINAL
ejpam-2305	153	19	5 16	CARDINAL
ejpam-2305	153	20	10t4	CARDINAL
ejpam-2305	153	21	8 10	TIME
ejpam-2305	153	22	t4	PERSON
ejpam-2305	153	23	1 80	CARDINAL
ejpam-2305	153	24	2t4 + 40z4	DATE
ejpam-2305	153	25	4 20	CARDINAL
ejpam-2305	153	26	4 20	CARDINAL
ejpam-2305	153	27	5t4	CARDINAL
ejpam-2305	153	28	5 16	CARDINAL
ejpam-2305	153	29	10t4 + 8z4	MONEY
ejpam-2305	153	30	10	CARDINAL
ejpam-2305	153	31	1	CARDINAL
ejpam-2305	153	32	134	CARDINAL
ejpam-2305	153	33	1	CARDINAL
ejpam-2305	153	34	o mc. guinness	PERSON
ejpam-2305	154	1	american	NORP
ejpam-2305	154	2	23	CARDINAL
ejpam-2305	154	3	375	CARDINAL
ejpam-2305	154	4	1990	DATE
ejpam-2305	155	1	2	CARDINAL
ejpam-2305	155	2	j. s. chahal	PERSON
ejpam-2305	156	1	kluwer	ORG
ejpam-2305	156	2	1988	DATE
ejpam-2305	157	1	3	CARDINAL
ejpam-2305	157	2	h. cohen	PERSON
ejpam-2305	159	1	2007	DATE
ejpam-2305	160	1	4	CARDINAL
ejpam-2305	161	1	2	CARDINAL
ejpam-2305	161	2	kyushu university	ORG
ejpam-2305	161	3	phd thesis 2002	ORG
ejpam-2305	162	1	5	CARDINAL
ejpam-2305	162	2	t. kudo	PERSON
ejpam-2305	162	3	k. motose	PERSON
ejpam-2305	163	1	okayama university	ORG
ejpam-2305	163	2	47	DATE
ejpam-2305	163	3	81-84, 2005	DATE
ejpam-2305	164	1	6	CARDINAL
ejpam-2305	164	2	j. h. silverman	PERSON
ejpam-2305	164	3	j. tate	PERSON
ejpam-2305	165	1	1992	DATE
ejpam-2305	166	1	j. h. silverman	PERSON
ejpam-2305	166	2	2009	DATE
ejpam-2305	167	1	8	CARDINAL
ejpam-2305	168	1	two	CARDINAL
ejpam-2305	168	2	okayama university	ORG
ejpam-2305	168	3	49	DATE
ejpam-2305	168	4	183	CARDINAL
ejpam-2305	169	1	9	CARDINAL
ejpam-2305	169	2	d.	NORP
ejpam-2305	169	3	g. kramarz	PERSON
ejpam-2305	170	1	indian	NORP
ejpam-2305	170	2	52	CARDINAL
ejpam-2305	170	3	51-69, 1987	DATE