Elliptic curve search results

Results (17 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
5160.n2	5160m3	5160.n	5160m	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$16896$	$1.411953$	$245245463376482/57692266875$	$0.95595$	$4.76774$	$[0, 1, 0, -16560, 626400]$	\(y^2=x^3+x^2-16560x+626400\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 1720.24.0.?, 5160.48.0.?	$[]$
10320.l2	10320f4	10320.l	10320f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 43^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5160$	$48$	$0$	$2.367415337$	$1$		$7$	$33792$	$1.411953$	$245245463376482/57692266875$	$0.95595$	$4.41015$	$[0, -1, 0, -16560, -626400]$	\(y^2=x^3-x^2-16560x-626400\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 1720.24.0.?, 5160.48.0.?	$[(-100, 140)]$
15480.a2	15480b4	15480.a	15480b	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$135168$	$1.961258$	$245245463376482/57692266875$	$0.95595$	$4.90806$	$[0, 0, 0, -149043, -17061842]$	\(y^2=x^3-149043x-17061842\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[]$
25800.i2	25800d3	25800.i	25800d	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$405504$	$2.216671$	$245245463376482/57692266875$	$0.95595$	$4.96297$	$[0, -1, 0, -414008, 79128012]$	\(y^2=x^3-x^2-414008x+79128012\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$	$[]$
30960.m2	30960e3	30960.m	30960e	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5160$	$48$	$0$	$1.109781714$	$1$		$5$	$270336$	$1.961258$	$245245463376482/57692266875$	$0.95595$	$4.57906$	$[0, 0, 0, -149043, 17061842]$	\(y^2=x^3-149043x+17061842\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$	$[(82, 2322)]$
41280.j2	41280i3	41280.j	41280i	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$270336$	$1.758526$	$245245463376482/57692266875$	$0.95595$	$4.22622$	$[0, -1, 0, -66241, 5077441]$	\(y^2=x^3-x^2-66241x+5077441\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$	$[]$
41280.cg2	41280ct3	41280.cg	41280ct	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5160$	$48$	$0$	$1.921540509$	$1$		$3$	$270336$	$1.758526$	$245245463376482/57692266875$	$0.95595$	$4.22622$	$[0, 1, 0, -66241, -5077441]$	\(y^2=x^3+x^2-66241x-5077441\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[(-161, 1200)]$
51600.ct2	51600u3	51600.ct	51600u	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$811008$	$2.216671$	$245245463376482/57692266875$	$0.95595$	$4.64595$	$[0, 1, 0, -414008, -79128012]$	\(y^2=x^3+x^2-414008x-79128012\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.s.1, 120.24.0.?, $\ldots$	$[]$
77400.v2	77400bk3	77400.v	77400bk	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{10} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$3244032$	$2.765976$	$245245463376482/57692266875$	$0.95595$	$5.06418$	$[0, 0, 0, -3726075, -2132730250]$	\(y^2=x^3-3726075x-2132730250\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.1, $\ldots$	$[]$
123840.ew2	123840ft3	123840.ew	123840ft	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{4} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$2162688$	$2.307831$	$245245463376482/57692266875$	$0.95595$	$4.39239$	$[0, 0, 0, -596172, 136494736]$	\(y^2=x^3-596172x+136494736\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 1720.24.0.?, 5160.48.0.?	$[]$
123840.fg2	123840cx3	123840.fg	123840cx	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{4} \cdot 43^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5160$	$48$	$0$	$1$	$1$		$3$	$2162688$	$2.307831$	$245245463376482/57692266875$	$0.95595$	$4.39239$	$[0, 0, 0, -596172, -136494736]$	\(y^2=x^3-596172x-136494736\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 1720.24.0.?, 5160.48.0.?	$[]$
154800.dx2	154800fw4	154800.dx	154800fw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{10} \cdot 43^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$6488064$	$2.765976$	$245245463376482/57692266875$	$0.95595$	$4.77044$	$[0, 0, 0, -3726075, 2132730250]$	\(y^2=x^3-3726075x+2132730250\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.2, $\ldots$	$[]$
206400.cz2	206400eq3	206400.cz	206400eq	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{10} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$5.785895152$	$1$		$1$	$6488064$	$2.563244$	$245245463376482/57692266875$	$0.95595$	$4.45950$	$[0, -1, 0, -1656033, -631368063]$	\(y^2=x^3-x^2-1656033x-631368063\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.1, $\ldots$	$[(-33157/7, 4588100/7)]$
206400.ht2	206400ha4	206400.ht	206400ha	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{10} \cdot 43^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.856097499$	$1$		$13$	$6488064$	$2.563244$	$245245463376482/57692266875$	$0.95595$	$4.45950$	$[0, 1, 0, -1656033, 631368063]$	\(y^2=x^3+x^2-1656033x+631368063\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.2, $\ldots$	$[(-1197, 30000), (402, 5547)]$
221880.e2	221880bd3	221880.e	221880bd	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 43^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$25$	$5$	$1$	$31223808$	$3.292553$	$245245463376482/57692266875$	$0.95595$	$5.14425$	$[0, -1, 0, -30620056, -50231862644]$	\(y^2=x^3-x^2-30620056x-50231862644\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[]$
252840.q2	252840q3	252840.q	252840q	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 43^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$36120$	$48$	$0$	$19.29293539$	$1$		$1$	$6488064$	$2.384907$	$245245463376482/57692266875$	$0.95595$	$4.21473$	$[0, -1, 0, -811456, -216478100]$	\(y^2=x^3-x^2-811456x-216478100\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 28.12.0-4.c.1.1, 168.24.0.?, $\ldots$	$[(1346741829/814, 43573420452037/814)]$
443760.by2	443760by4	443760.by	443760by	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 43^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$7.523297180$	$1$		$1$	$62447616$	$3.292553$	$245245463376482/57692266875$	$0.95595$	$4.87002$	$[0, 1, 0, -30620056, 50231862644]$	\(y^2=x^3+x^2-30620056x+50231862644\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(5741/2, 769125/2)]$