LMFDB - Elliptic curve search results

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Results (32 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	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
2312.b2	2312b1	2312.b	2312b	$2$	$2$	$ 2^{3} \cdot 17^{2} $	$ 2^{8} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$136$	$48$	$1$	$4.520338452$	$1$		$3$	$4352$	$1.279827$	$2000$	$0.77446$	$4.98911$	$[0, 1, 0, -8188, -107904]$	$y^2=x^3+x^2-8188x-107904$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.24.0-68.i.1.2, $\ldots$	$[(-25, 286)]$
2312.c2	2312a1	2312.c	2312a	$2$	$2$	$ 2^{3} \cdot 17^{2} $	$ 2^{8} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$136$	$48$	$1$	$1.803575118$	$1$		$3$	$256$	$-0.136780$	$2000$	$0.77446$	$2.79449$	$[0, -1, 0, -28, -12]$	$y^2=x^3-x^2-28x-12$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.24.0-68.i.1.2, $\ldots$	$[(-3, 6)]$
4624.b2	4624c1	4624.b	4624c	$2$	$2$	$ 2^{4} \cdot 17^{2} $	$ 2^{8} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$136$	$48$	$1$	$1.164913441$	$1$		$5$	$512$	$-0.136780$	$2000$	$0.77446$	$2.56496$	$[0, 1, 0, -28, 12]$	$y^2=x^3+x^2-28x+12$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.24.0-68.i.1.1, $\ldots$	$[(-2, 8)]$
4624.e2	4624b1	4624.e	4624b	$2$	$2$	$ 2^{4} \cdot 17^{2} $	$ 2^{8} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$136$	$48$	$1$	$8.176272757$	$1$		$1$	$8704$	$1.279827$	$2000$	$0.77446$	$4.57933$	$[0, -1, 0, -8188, 107904]$	$y^2=x^3-x^2-8188x+107904$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.24.0-68.i.1.1, $\ldots$	$[(1060/9, 38728/9)]$
18496.b2	18496s1	18496.b	18496s	$2$	$2$	$ 2^{6} \cdot 17^{2} $	$ 2^{14} \cdot 17^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$136$	$48$	$1$	$1$	$1$		$1$	$69632$	$1.626400$	$2000$	$0.77446$	$4.35649$	$[0, 1, 0, -32753, 830479]$	$y^2=x^3+x^2-32753x+830479$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
18496.c2	18496f1	18496.c	18496f	$2$	$2$	$ 2^{6} \cdot 17^{2} $	$ 2^{14} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$136$	$48$	$1$	$1.051116491$	$1$		$7$	$4096$	$0.209794$	$2000$	$0.77446$	$2.62634$	$[0, 1, 0, -113, -209]$	$y^2=x^3+x^2-113x-209$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(-6, 17)]$
18496.r2	18496m1	18496.r	18496m	$2$	$2$	$ 2^{6} \cdot 17^{2} $	$ 2^{14} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$136$	$48$	$1$	$1$	$1$		$1$	$4096$	$0.209794$	$2000$	$0.77446$	$2.62634$	$[0, -1, 0, -113, 209]$	$y^2=x^3-x^2-113x+209$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
18496.s2	18496e1	18496.s	18496e	$2$	$2$	$ 2^{6} \cdot 17^{2} $	$ 2^{14} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$136$	$48$	$1$	$10.22261582$	$1$		$1$	$69632$	$1.626400$	$2000$	$0.77446$	$4.35649$	$[0, -1, 0, -32753, -830479]$	$y^2=x^3-x^2-32753x-830479$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(-17759/25, 4319664/25)]$
20808.p2	20808bf1	20808.p	20808bf	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 17^{2} $	$ 2^{8} \cdot 3^{6} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$408$	$48$	$1$	$0.818294047$	$1$		$7$	$6144$	$0.412527$	$2000$	$0.77446$	$2.83990$	$[0, 0, 0, -255, 578]$	$y^2=x^3-255x+578$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(1, 18)]$
20808.v2	20808bd1	20808.v	20808bd	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 17^{2} $	$ 2^{8} \cdot 3^{6} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$408$	$48$	$1$	$3.884741541$	$1$		$3$	$104448$	$1.829134$	$2000$	$0.77446$	$4.54956$	$[0, 0, 0, -73695, 2839714]$	$y^2=x^3-73695x+2839714$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(-127, 3186)]$
41616.bi2	41616t1	41616.bi	41616t	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 17^{2} $	$ 2^{8} \cdot 3^{6} \cdot 17^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$408$	$48$	$1$	$1$	$1$		$1$	$208896$	$1.829134$	$2000$	$0.77446$	$4.25307$	$[0, 0, 0, -73695, -2839714]$	$y^2=x^3-73695x-2839714$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
41616.bs2	41616s1	41616.bs	41616s	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 17^{2} $	$ 2^{8} \cdot 3^{6} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$408$	$48$	$1$	$1$	$1$		$1$	$12288$	$0.412527$	$2000$	$0.77446$	$2.65483$	$[0, 0, 0, -255, -578]$	$y^2=x^3-255x-578$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
57800.h2	57800w1	57800.h	57800w	$2$	$2$	$ 2^{3} \cdot 5^{2} \cdot 17^{2} $	$ 2^{8} \cdot 5^{6} \cdot 17^{3} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$680$	$48$	$1$	$1.979342548$	$1$		$19$	$36864$	$0.667939$	$2000$	$0.77446$	$2.85482$	$[0, 1, 0, -708, -2912]$	$y^2=x^3+x^2-708x-2912$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(-6, 34), (62, 442)]$
57800.t2	57800v1	57800.t	57800v	$2$	$2$	$ 2^{3} \cdot 5^{2} \cdot 17^{2} $	$ 2^{8} \cdot 5^{6} \cdot 17^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$680$	$48$	$1$	$1$	$4$	$2$	$1$	$626688$	$2.084545$	$2000$	$0.77446$	$4.40518$	$[0, -1, 0, -204708, -13078588]$	$y^2=x^3-x^2-204708x-13078588$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
113288.f2	113288m1	113288.f	113288m	$2$	$2$	$ 2^{3} \cdot 7^{2} \cdot 17^{2} $	$ 2^{8} \cdot 7^{6} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$952$	$48$	$1$	$1$	$1$		$1$	$92160$	$0.836176$	$2000$	$0.77446$	$2.86321$	$[0, 1, 0, -1388, 6880]$	$y^2=x^3+x^2-1388x+6880$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
113288.z2	113288k1	113288.z	113288k	$2$	$2$	$ 2^{3} \cdot 7^{2} \cdot 17^{2} $	$ 2^{8} \cdot 7^{6} \cdot 17^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$952$	$48$	$1$	$1$	$9$	$3$	$1$	$1566720$	$2.252781$	$2000$	$0.77446$	$4.32392$	$[0, -1, 0, -401228, 36208628]$	$y^2=x^3-x^2-401228x+36208628$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
115600.o2	115600j1	115600.o	115600j	$2$	$2$	$ 2^{4} \cdot 5^{2} \cdot 17^{2} $	$ 2^{8} \cdot 5^{6} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$680$	$48$	$1$	$9.697113810$	$1$		$1$	$1253376$	$2.084545$	$2000$	$0.77446$	$4.14326$	$[0, 1, 0, -204708, 13078588]$	$y^2=x^3+x^2-204708x+13078588$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(-19522/7, 1926784/7)]$
115600.cs2	115600h1	115600.cs	115600h	$2$	$2$	$ 2^{4} \cdot 5^{2} \cdot 17^{2} $	$ 2^{8} \cdot 5^{6} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$680$	$48$	$1$	$4.828484354$	$1$		$1$	$73728$	$0.667939$	$2000$	$0.77446$	$2.68508$	$[0, -1, 0, -708, 2912]$	$y^2=x^3-x^2-708x+2912$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(4/3, 1376/3)]$
166464.df2	166464bj1	166464.df	166464bj	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 17^{2} $	$ 2^{14} \cdot 3^{6} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$408$	$48$	$1$	$6.224031680$	$1$		$3$	$1671168$	$2.175709$	$2000$	$0.77446$	$4.10858$	$[0, 0, 0, -294780, -22717712]$	$y^2=x^3-294780x-22717712$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(2756, 141768)]$
166464.dg2	166464fb1	166464.dg	166464fb	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 17^{2} $	$ 2^{14} \cdot 3^{6} \cdot 17^{3} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$408$	$48$	$1$	$3.152203854$	$1$		$11$	$98304$	$0.759100$	$2000$	$0.77446$	$2.69463$	$[0, 0, 0, -1020, 4624]$	$y^2=x^3-1020x+4624$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(0, 68), (30, 32)]$
166464.ef2	166464bt1	166464.ef	166464bt	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 17^{2} $	$ 2^{14} \cdot 3^{6} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$408$	$48$	$1$	$2.423021977$	$1$		$5$	$98304$	$0.759100$	$2000$	$0.77446$	$2.69463$	$[0, 0, 0, -1020, -4624]$	$y^2=x^3-1020x-4624$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(52, 288)]$
166464.eg2	166464fn1	166464.eg	166464fn	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 17^{2} $	$ 2^{14} \cdot 3^{6} \cdot 17^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$408$	$48$	$1$	$1$	$4$	$2$	$1$	$1671168$	$2.175709$	$2000$	$0.77446$	$4.10858$	$[0, 0, 0, -294780, 22717712]$	$y^2=x^3-294780x+22717712$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
226576.n2	226576co1	226576.n	226576co	$2$	$2$	$ 2^{4} \cdot 7^{2} \cdot 17^{2} $	$ 2^{8} \cdot 7^{6} \cdot 17^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$952$	$48$	$1$	$1$	$1$		$1$	$3133440$	$2.252781$	$2000$	$0.77446$	$4.08086$	$[0, 1, 0, -401228, -36208628]$	$y^2=x^3+x^2-401228x-36208628$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
226576.db2	226576dm1	226576.db	226576dm	$2$	$2$	$ 2^{4} \cdot 7^{2} \cdot 17^{2} $	$ 2^{8} \cdot 7^{6} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$952$	$48$	$1$	$1$	$1$		$1$	$184320$	$0.836176$	$2000$	$0.77446$	$2.70226$	$[0, -1, 0, -1388, -6880]$	$y^2=x^3-x^2-1388x-6880$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
279752.e2	279752e1	279752.e	279752e	$2$	$2$	$ 2^{3} \cdot 11^{2} \cdot 17^{2} $	$ 2^{8} \cdot 11^{6} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$1496$	$48$	$1$	$4.004627617$	$1$		$5$	$6092800$	$2.478775$	$2000$	$0.77446$	$4.22850$	$[0, 1, 0, -990788, 139657120]$	$y^2=x^3+x^2-990788x+139657120$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(-818, 20086)]$
279752.bl2	279752bl1	279752.bl	279752bl	$2$	$2$	$ 2^{3} \cdot 11^{2} \cdot 17^{2} $	$ 2^{8} \cdot 11^{6} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$1496$	$48$	$1$	$4.880333788$	$1$		$1$	$358400$	$1.062168$	$2000$	$0.77446$	$2.87307$	$[0, -1, 0, -3428, 29636]$	$y^2=x^3-x^2-3428x+29636$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(1108/3, 32606/3)]$
390728.a2	390728a1	390728.a	390728a	$2$	$2$	$ 2^{3} \cdot 13^{2} \cdot 17^{2} $	$ 2^{8} \cdot 13^{6} \cdot 17^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$1768$	$48$	$1$	$1$	$1$		$1$	$10027008$	$2.562302$	$2000$	$0.77446$	$4.19662$	$[0, 1, 0, -1383828, -231529856]$	$y^2=x^3+x^2-1383828x-231529856$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
390728.t2	390728t1	390728.t	390728t	$2$	$2$	$ 2^{3} \cdot 13^{2} \cdot 17^{2} $	$ 2^{8} \cdot 13^{6} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$1768$	$48$	$1$	$1$	$1$		$1$	$589824$	$1.145695$	$2000$	$0.77446$	$2.87637$	$[0, -1, 0, -4788, -45436]$	$y^2=x^3-x^2-4788x-45436$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[]$
462400.bc2	462400bc1	462400.bc	462400bc	$2$	$2$	$ 2^{6} \cdot 5^{2} \cdot 17^{2} $	$ 2^{14} \cdot 5^{6} \cdot 17^{3} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$680$	$48$	$1$	$3.292724855$	$1$		$11$	$589824$	$1.014513$	$2000$	$0.77446$	$2.71855$	$[0, 1, 0, -2833, 20463]$	$y^2=x^3+x^2-2833x+20463$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(-7, 200), (-23, 272)]$
462400.bd2	462400bd1	462400.bd	462400bd	$2$	$2$	$ 2^{6} \cdot 5^{2} \cdot 17^{2} $	$ 2^{14} \cdot 5^{6} \cdot 17^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$680$	$48$	$1$	$6.411370975$	$1$		$3$	$10027008$	$2.431118$	$2000$	$0.77446$	$4.02175$	$[0, 1, 0, -818833, -105447537]$	$y^2=x^3+x^2-818833x-105447537$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(1987, 78208)]$
462400.ij2	462400ij1	462400.ij	462400ij	$2$	$2$	$ 2^{6} \cdot 5^{2} \cdot 17^{2} $	$ 2^{14} \cdot 5^{6} \cdot 17^{9} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$680$	$48$	$1$	$33.92332277$	$1$		$3$	$10027008$	$2.431118$	$2000$	$0.77446$	$4.02175$	$[0, -1, 0, -818833, 105447537]$	$y^2=x^3-x^2-818833x+105447537$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(837, 2400), (-10737/7, 5680800/7)]$
462400.ik2	462400ik1	462400.ik	462400ik	$2$	$2$	$ 2^{6} \cdot 5^{2} \cdot 17^{2} $	$ 2^{14} \cdot 5^{6} \cdot 17^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.18	2B	$680$	$48$	$1$	$5.522534273$	$1$		$1$	$589824$	$1.014513$	$2000$	$0.77446$	$2.71855$	$[0, -1, 0, -2833, -20463]$	$y^2=x^3-x^2-2833x-20463$	2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$	$[(769/3, 16064/3)]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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