Elliptic curve search results

Results (30 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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
1190.a1	1190a2	1190.a	1190a	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{5} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.530757863$	$1$		$6$	$960$	$0.865278$	$7876916680687209/27200448800$	$0.97147$	$5.16863$	$[1, -1, 0, -4145, -101379]$	\(y^2+xy=x^3-x^2-4145x-101379\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-37, 1)]$
5950.n1	5950k2	5950.n	5950k	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{5} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$0$	$23040$	$1.669998$	$7876916680687209/27200448800$	$0.97147$	$5.32258$	$[1, -1, 1, -103630, -12776003]$	\(y^2+xy+y=x^3-x^2-103630x-12776003\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
8330.h1	8330j2	8330.h	8330j	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{5} \cdot 5^{2} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.851277695$	$1$		$2$	$46080$	$1.838234$	$7876916680687209/27200448800$	$0.97147$	$5.34783$	$[1, -1, 0, -203114, 35179220]$	\(y^2+xy=x^3-x^2-203114x+35179220\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-19, 6257)]$
9520.i1	9520g2	9520.i	9520g	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{17} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.520581134$	$1$		$7$	$23040$	$1.558426$	$7876916680687209/27200448800$	$0.97147$	$4.90337$	$[0, 0, 0, -66323, 6554578]$	\(y^2=x^3-66323x+6554578\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(159, 170)]$
10710.bk1	10710bl2	10710.bk	10710bl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.176717228$	$1$		$12$	$30720$	$1.414585$	$7876916680687209/27200448800$	$0.97147$	$4.65510$	$[1, -1, 1, -37307, 2774539]$	\(y^2+xy+y=x^3-x^2-37307x+2774539\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(77, 556)]$
20230.g1	20230g2	20230.g	20230g	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{5} \cdot 5^{2} \cdot 7^{6} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$0$	$276480$	$2.281887$	$7876916680687209/27200448800$	$0.97147$	$5.40619$	$[1, -1, 0, -1197959, -502866787]$	\(y^2+xy=x^3-x^2-1197959x-502866787\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
38080.y1	38080bn2	38080.y	38080bn	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{23} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.904999$	$7876916680687209/27200448800$	$0.97147$	$4.65320$	$[0, 0, 0, -265292, 52436624]$	\(y^2=x^3-265292x+52436624\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
38080.bf1	38080x2	38080.bf	38080x	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{23} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.904999$	$7876916680687209/27200448800$	$0.97147$	$4.65320$	$[0, 0, 0, -265292, -52436624]$	\(y^2=x^3-265292x-52436624\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
41650.bx1	41650by2	41650.bx	41650by	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{5} \cdot 5^{8} \cdot 7^{12} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$0$	$1105920$	$2.642952$	$7876916680687209/27200448800$	$0.97147$	$5.44651$	$[1, -1, 1, -5077855, 4392324647]$	\(y^2+xy+y=x^3-x^2-5077855x+4392324647\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
47600.x1	47600x2	47600.x	47600x	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{17} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.880506681$	$1$		$7$	$552960$	$2.363144$	$7876916680687209/27200448800$	$0.97147$	$5.06724$	$[0, 0, 0, -1658075, 819322250]$	\(y^2=x^3-1658075x+819322250\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(829, 3808)]$
53550.j1	53550bd2	53550.j	53550bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$3.005023219$	$1$		$4$	$737280$	$2.219303$	$7876916680687209/27200448800$	$0.97147$	$4.85390$	$[1, -1, 0, -932667, 345884741]$	\(y^2+xy=x^3-x^2-932667x+345884741\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(589, 493)]$
66640.bh1	66640by2	66640.bh	66640by	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{17} \cdot 5^{2} \cdot 7^{12} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$1105920$	$2.531380$	$7876916680687209/27200448800$	$0.97147$	$5.09549$	$[0, 0, 0, -3249827, -2248220254]$	\(y^2=x^3-3249827x-2248220254\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
74970.cf1	74970cx2	74970.cf	74970cx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.805801738$	$1$		$6$	$1474560$	$2.387539$	$7876916680687209/27200448800$	$0.97147$	$4.88825$	$[1, -1, 1, -1828028, -948010913]$	\(y^2+xy+y=x^3-x^2-1828028x-948010913\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-775, 2053)]$
85680.ec1	85680ev2	85680.ec	85680ev	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$737280$	$2.107731$	$7876916680687209/27200448800$	$0.97147$	$4.53517$	$[0, 0, 0, -596907, -176973606]$	\(y^2=x^3-596907x-176973606\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
101150.ci1	101150cc2	101150.ci	101150cc	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{5} \cdot 5^{8} \cdot 7^{6} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.396643279$	$1$		$2$	$6635520$	$3.086605$	$7876916680687209/27200448800$	$0.97147$	$5.48912$	$[1, -1, 1, -29948980, -62888297353]$	\(y^2+xy+y=x^3-x^2-29948980x-62888297353\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-3285, 7711)]$
141610.r1	141610cf2	141610.r	141610cf	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{5} \cdot 5^{2} \cdot 7^{12} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$0$	$13271040$	$3.254841$	$7876916680687209/27200448800$	$0.97147$	$5.50362$	$[1, -1, 0, -58700000, 172600707936]$	\(y^2+xy=x^3-x^2-58700000x+172600707936\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
143990.bh1	143990o2	143990.bh	143990o	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2^{5} \cdot 5^{2} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.240051123$	$1$		$6$	$1344000$	$2.064228$	$7876916680687209/27200448800$	$0.97147$	$4.29300$	$[1, -1, 1, -501568, 136440131]$	\(y^2+xy+y=x^3-x^2-501568x+136440131\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(305, 3277)]$
161840.bm1	161840q2	161840.bm	161840q	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{17} \cdot 5^{2} \cdot 7^{6} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$6635520$	$2.975033$	$7876916680687209/27200448800$	$0.97147$	$5.16240$	$[0, 0, 0, -19167347, 32202641714]$	\(y^2=x^3-19167347x+32202641714\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
182070.cj1	182070bo2	182070.cj	182070bo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.546542870$	$1$		$6$	$8847360$	$2.831192$	$7876916680687209/27200448800$	$0.97147$	$4.96969$	$[1, -1, 1, -10781633, 13588184881]$	\(y^2+xy+y=x^3-x^2-10781633x+13588184881\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(353, 98950)]$
190400.by1	190400dt2	190400.by	190400dt	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{23} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$7.264780003$	$1$		$1$	$4423680$	$2.709717$	$7876916680687209/27200448800$	$0.97147$	$4.83150$	$[0, 0, 0, -6632300, -6554578000]$	\(y^2=x^3-6632300x-6554578000\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(74966/5, 2852736/5)]$
190400.cw1	190400bg2	190400.cw	190400bg	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{23} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.496721390$	$1$		$7$	$4423680$	$2.709717$	$7876916680687209/27200448800$	$0.97147$	$4.83150$	$[0, 0, 0, -6632300, 6554578000]$	\(y^2=x^3-6632300x+6554578000\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(570, 54400)]$
201110.bi1	201110l2	201110.bi	201110l	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 2^{5} \cdot 5^{2} \cdot 7^{6} \cdot 13^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$0$	$2257920$	$2.147755$	$7876916680687209/27200448800$	$0.97147$	$4.25762$	$[1, -1, 1, -700537, -224831239]$	\(y^2+xy+y=x^3-x^2-700537x-224831239\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
266560.dc1	266560dc2	266560.dc	266560dc	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{23} \cdot 5^{2} \cdot 7^{12} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.877956$	$7876916680687209/27200448800$	$0.97147$	$4.86297$	$[0, 0, 0, -12999308, 17985762032]$	\(y^2=x^3-12999308x+17985762032\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
266560.dp1	266560dp2	266560.dp	266560dp	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{23} \cdot 5^{2} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$10.41782946$	$1$		$1$	$8847360$	$2.877956$	$7876916680687209/27200448800$	$0.97147$	$4.86297$	$[0, 0, 0, -12999308, -17985762032]$	\(y^2=x^3-12999308x-17985762032\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-1033599/22, 63520415/22)]$
333200.dg1	333200dg2	333200.dg	333200dg	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{17} \cdot 5^{8} \cdot 7^{12} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$26542080$	$3.336102$	$7876916680687209/27200448800$	$0.97147$	$5.20997$	$[0, 0, 0, -81245675, -281027531750]$	\(y^2=x^3-81245675x-281027531750\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[ ]$
342720.bk1	342720bk2	342720.bk	342720bk	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{23} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.377014785$	$1$		$7$	$5898240$	$2.454304$	$7876916680687209/27200448800$	$0.97147$	$4.36818$	$[0, 0, 0, -2387628, -1415788848]$	\(y^2=x^3-2387628x-1415788848\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-854, 640)]$
342720.gi1	342720gi2	342720.gi	342720gi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{23} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.799659974$	$1$		$9$	$5898240$	$2.454304$	$7876916680687209/27200448800$	$0.97147$	$4.36818$	$[0, 0, 0, -2387628, 1415788848]$	\(y^2=x^3-2387628x+1415788848\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(726, 8064)]$
374850.cr1	374850cr2	374850.cr	374850cr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{8} \cdot 7^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$13.72727547$	$1$		$0$	$35389440$	$3.192261$	$7876916680687209/27200448800$	$0.97147$	$5.02767$	$[1, -1, 0, -45700692, -118547064784]$	\(y^2+xy=x^3-x^2-45700692x-118547064784\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(11096479/26, 32990414423/26)]$
428400.mn1	428400mn2	428400.mn	428400mn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$5.510399885$	$1$		$3$	$17694720$	$2.912453$	$7876916680687209/27200448800$	$0.97147$	$4.71697$	$[0, 0, 0, -14922675, -22121700750]$	\(y^2=x^3-14922675x-22121700750\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(97095, 30230550)]$
429590.bw1	429590bw2	429590.bw	429590bw	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 17 \cdot 19^{2} \)	\( 2^{5} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.740282272$	$1$		$8$	$6289920$	$2.337498$	$7876916680687209/27200448800$	$0.97147$	$4.18403$	$[1, -1, 1, -1496413, 702840517]$	\(y^2+xy+y=x^3-x^2-1496413x+702840517\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(43, 25248)]$

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