Elliptic curve search results

Results (26 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
1290.j2	1290k1	1290.j	1290k	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$5040$	$1.205416$	$-119305480789133569/5200091136000$	$0.98567$	$5.49999$	$[1, 1, 1, -10256, -418831]$	\(y^2+xy+y=x^3+x^2-10256x-418831\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
3870.g2	3870i1	3870.g	3870i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{16} \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.016560755$	$1$		$7$	$40320$	$1.754723$	$-119305480789133569/5200091136000$	$0.98567$	$5.56648$	$[1, -1, 0, -92304, 11216128]$	\(y^2+xy=x^3-x^2-92304x+11216128\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(32, 2864)]$
6450.s2	6450n1	6450.s	6450n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.800751813$	$1$		$5$	$120960$	$2.010136$	$-119305480789133569/5200091136000$	$0.98567$	$5.59173$	$[1, 0, 1, -256401, -51841052]$	\(y^2+xy+y=x^3-256401x-51841052\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(722, 11451)]$
10320.bb2	10320bd1	10320.bb	10320bd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{26} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$120960$	$1.898563$	$-119305480789133569/5200091136000$	$0.98567$	$5.16248$	$[0, 1, 0, -164096, 26476980]$	\(y^2=x^3+x^2-164096x+26476980\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
19350.cv2	19350cj1	19350.cv	19350cj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{16} \cdot 5^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$967680$	$2.559441$	$-119305480789133569/5200091136000$	$0.98567$	$5.63717$	$[1, -1, 1, -2307605, 1399708397]$	\(y^2+xy+y=x^3-x^2-2307605x+1399708397\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
30960.bz2	30960cc1	30960.bz	30960cc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{26} \cdot 3^{16} \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$8.492262618$	$1$		$1$	$967680$	$2.447868$	$-119305480789133569/5200091136000$	$0.98567$	$5.25147$	$[0, 0, 0, -1476867, -716355326]$	\(y^2=x^3-1476867x-716355326\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(610737/7, 474926080/7)]$
41280.bs2	41280cj1	41280.bs	41280cj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{32} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.570225211$	$1$		$5$	$967680$	$2.245136$	$-119305480789133569/5200091136000$	$0.98567$	$4.88042$	$[0, -1, 0, -656385, 212472225]$	\(y^2=x^3-x^2-656385x+212472225\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(-453, 20412)]$
41280.cu2	41280bv1	41280.cu	41280bv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{32} \cdot 3^{10} \cdot 5^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$967680$	$2.245136$	$-119305480789133569/5200091136000$	$0.98567$	$4.88042$	$[0, 1, 0, -656385, -212472225]$	\(y^2=x^3+x^2-656385x-212472225\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
51600.d2	51600bx1	51600.d	51600bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{26} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$2903040$	$2.703281$	$-119305480789133569/5200091136000$	$0.98567$	$5.28670$	$[0, -1, 0, -4102408, 3317827312]$	\(y^2=x^3-x^2-4102408x+3317827312\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
55470.o2	55470o1	55470.o	55470o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$9313920$	$3.086018$	$-119305480789133569/5200091136000$	$0.98567$	$5.67215$	$[1, 0, 1, -18963383, 32958641306]$	\(y^2+xy+y=x^3-18963383x+32958641306\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
63210.cm2	63210ct1	63210.cm	63210ct	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$0.097516936$	$1$		$23$	$1451520$	$2.178371$	$-119305480789133569/5200091136000$	$0.98567$	$4.61982$	$[1, 0, 0, -502545, 142151337]$	\(y^2+xy=x^3-502545x+142151337\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(-66, 13263)]$
123840.b2	123840cj1	123840.b	123840cj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{32} \cdot 3^{16} \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$2.732149100$	$1$		$5$	$7741440$	$2.794445$	$-119305480789133569/5200091136000$	$0.98567$	$4.98530$	$[0, 0, 0, -5907468, 5730842608]$	\(y^2=x^3-5907468x+5730842608\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(1278, 16384)]$
123840.dn2	123840ew1	123840.dn	123840ew	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{32} \cdot 3^{16} \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$45.53460050$	$1$		$1$	$7741440$	$2.794445$	$-119305480789133569/5200091136000$	$0.98567$	$4.98530$	$[0, 0, 0, -5907468, -5730842608]$	\(y^2=x^3-5907468x-5730842608\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(2535130959905123219497/423397784, 125613344200095854066087338845483/423397784)]$
154800.h2	154800bj1	154800.h	154800bj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{26} \cdot 3^{16} \cdot 5^{9} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$11.40674471$	$1$		$1$	$23224320$	$3.252590$	$-119305480789133569/5200091136000$	$0.98567$	$5.35228$	$[0, 0, 0, -36921675, -89544415750]$	\(y^2=x^3-36921675x-89544415750\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(2928886/19, 2611426716/19)]$
156090.e2	156090by1	156090.e	156090by	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 11^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$4.075075185$	$1$		$3$	$6451200$	$2.404366$	$-119305480789133569/5200091136000$	$0.98567$	$4.49737$	$[1, 1, 0, -1240978, 551258932]$	\(y^2+xy=x^3+x^2-1240978x+551258932\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(567, 5222)]$
166410.cl2	166410u1	166410.cl	166410u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( - 2^{14} \cdot 3^{16} \cdot 5^{3} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$9$	$3$	$1$	$74511360$	$3.635323$	$-119305480789133569/5200091136000$	$0.98567$	$5.70211$	$[1, -1, 1, -170670443, -889883315269]$	\(y^2+xy+y=x^3-x^2-170670443x-889883315269\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
189630.bd2	189630dx1	189630.bd	189630dx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{16} \cdot 5^{3} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$11.33519146$	$1$		$1$	$11612160$	$2.727676$	$-119305480789133569/5200091136000$	$0.98567$	$4.74459$	$[1, -1, 0, -4522905, -3838086099]$	\(y^2+xy=x^3-x^2-4522905x-3838086099\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(1400655/17, 1446064908/17)]$
206400.fc2	206400kp1	206400.fc	206400kp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{32} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$54.31849908$	$1$		$1$	$23224320$	$3.049858$	$-119305480789133569/5200091136000$	$0.98567$	$5.02766$	$[0, -1, 0, -16409633, -26526208863]$	\(y^2=x^3-x^2-16409633x-26526208863\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(33471036423786152184019513/27342668559, 192818642139304483242858426064272195584/27342668559)]$
206400.fo2	206400bb1	206400.fo	206400bb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{32} \cdot 3^{10} \cdot 5^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$23224320$	$3.049858$	$-119305480789133569/5200091136000$	$0.98567$	$5.02766$	$[0, 1, 0, -16409633, 26526208863]$	\(y^2=x^3+x^2-16409633x+26526208863\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
218010.u2	218010ch1	218010.u	218010ch	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 13^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$9$	$3$	$1$	$10886400$	$2.487892$	$-119305480789133569/5200091136000$	$0.98567$	$4.45668$	$[1, 1, 0, -1733267, -911504979]$	\(y^2+xy=x^3+x^2-1733267x-911504979\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
277350.bz2	277350bz1	277350.bz	277350bz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{9} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.014792462$	$1$		$9$	$223534080$	$3.890736$	$-119305480789133569/5200091136000$	$0.98567$	$5.71425$	$[1, 1, 1, -474084563, 4119830163281]$	\(y^2+xy+y=x^3+x^2-474084563x+4119830163281\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(9155, 735022)]$
316050.n2	316050n1	316050.n	316050n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.848386043$	$1$		$5$	$34836480$	$2.983089$	$-119305480789133569/5200091136000$	$0.98567$	$4.79523$	$[1, 1, 0, -12563625, 17768917125]$	\(y^2+xy=x^3+x^2-12563625x+17768917125\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(-2409, 185763)]$
372810.cv2	372810cv1	372810.cv	372810cv	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 17^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$24837120$	$2.622025$	$-119305480789133569/5200091136000$	$0.98567$	$4.39575$	$[1, 0, 0, -2963990, -2036967900]$	\(y^2+xy=x^3-2963990x-2036967900\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
443760.v2	443760v1	443760.v	443760v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{26} \cdot 3^{10} \cdot 5^{3} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$4$	$2$	$1$	$223534080$	$3.779163$	$-119305480789133569/5200091136000$	$0.98567$	$5.40474$	$[0, -1, 0, -303414120, -2109353043600]$	\(y^2=x^3-x^2-303414120x-2109353043600\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$
465690.o2	465690o1	465690.o	465690o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 19^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$2.299056951$	$1$		$5$	$34836480$	$2.677635$	$-119305480789133569/5200091136000$	$0.98567$	$4.37196$	$[1, 0, 1, -3702424, 2843141222]$	\(y^2+xy+y=x^3-3702424x+2843141222\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[(1018, 10862)]$
468270.eb2	468270eb1	468270.eb	468270eb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{16} \cdot 5^{3} \cdot 11^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$51609600$	$2.953671$	$-119305480789133569/5200091136000$	$0.98567$	$4.62381$	$[1, -1, 1, -11168807, -14895159969]$	\(y^2+xy+y=x^3-x^2-11168807x-14895159969\)	2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?	$[]$