Elliptic curve search results

Results (9 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
44520.x3	44520x1	44520.x	44520x	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{8} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 53 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$6360$	$48$	$0$	$1$	$1$		$3$	$110592$	$1.084204$	$64326999643216/6900761385$	$0.86893$	$3.48853$	$1$	$[0, 1, 0, -5300, 132288]$	\(y^2=x^3+x^2-5300x+132288\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 530.6.0.?, 1060.24.0.?, $\ldots$	$[ ]$	$1$
89040.r3	89040h1	89040.r	89040h	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{8} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$6360$	$48$	$0$	$3.280583906$	$1$		$5$	$221184$	$1.084204$	$64326999643216/6900761385$	$0.86893$	$3.27636$	$2$	$[0, -1, 0, -5300, -132288]$	\(y^2=x^3-x^2-5300x-132288\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 530.6.0.?, 1060.24.0.?, $\ldots$	$[(-48, 96)]$	$1$
133560.m3	133560bg1	133560.m	133560bg	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{8} \cdot 3^{18} \cdot 5 \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$6360$	$48$	$0$	$3.335803395$	$1$		$3$	$884736$	$1.633511$	$64326999643216/6900761385$	$0.86893$	$3.72231$	$2$	$[0, 0, 0, -47703, -3619478]$	\(y^2=x^3-47703x-3619478\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[(-93, 112)]$	$1$
222600.p3	222600co1	222600.p	222600co	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{7} \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6360$	$48$	$0$	$4.764376283$	$1$		$3$	$2654208$	$1.888924$	$64326999643216/6900761385$	$0.86893$	$3.81680$	$2$	$[0, -1, 0, -132508, 16801012]$	\(y^2=x^3-x^2-132508x+16801012\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 120.24.0.?, $\ldots$	$[(-414, 728)]$	$1$
267120.u3	267120u1	267120.u	267120u	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{8} \cdot 3^{18} \cdot 5 \cdot 7^{2} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$6360$	$48$	$0$	$1$	$1$		$1$	$1769472$	$1.633511$	$64326999643216/6900761385$	$0.86893$	$3.51583$	$2$	$[0, 0, 0, -47703, 3619478]$	\(y^2=x^3-47703x+3619478\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.10, $\ldots$	$[ ]$	$1$
311640.h3	311640h1	311640.h	311640h	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 53 \)	\( 2^{8} \cdot 3^{12} \cdot 5 \cdot 7^{8} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$44520$	$48$	$0$	$1$	$1$		$1$	$5308416$	$2.057159$	$64326999643216/6900761385$	$0.86893$	$3.87488$	$2$	$[0, -1, 0, -259716, -45894204]$	\(y^2=x^3-x^2-259716x-45894204\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$	$[ ]$	$1$
356160.bb3	356160bb1	356160.bb	356160bb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{14} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$6360$	$48$	$0$	$1$	$1$		$1$	$1769472$	$1.430777$	$64326999643216/6900761385$	$0.86893$	$3.24639$	$2$	$[0, -1, 0, -21201, 1079505]$	\(y^2=x^3-x^2-21201x+1079505\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 530.6.0.?, $\ldots$	$[ ]$	$1$
356160.es3	356160es1	356160.es	356160es	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{14} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$6360$	$48$	$0$	$1.268981469$	$1$		$5$	$1769472$	$1.430777$	$64326999643216/6900761385$	$0.86893$	$3.24639$	$2$	$[0, 1, 0, -21201, -1079505]$	\(y^2=x^3+x^2-21201x-1079505\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.8, 530.6.0.?, $\ldots$	$[(-81, 336)]$	$1$
445200.gd3	445200gd1	445200.gd	445200gd	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{7} \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6360$	$48$	$0$	$1.631793516$	$1$		$5$	$5308416$	$1.888924$	$64326999643216/6900761385$	$0.86893$	$3.61339$	$2$	$[0, 1, 0, -132508, -16801012]$	\(y^2=x^3+x^2-132508x-16801012\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.bb.1, 120.24.0.?, $\ldots$	$[(-181, 1134)]$	$1$

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