Elliptic curve search results

Results (5 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
53130.d3	53130e2	53130.d	53130e	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$106260$	$48$	$0$	$1.273103555$	$1$		$30$	$45056$	$0.621125$	$21973174804729/11291187600$	$0.86814$	$2.82348$	$[1, 1, 0, -583, 1573]$	\(y^2+xy=x^3+x^2-583x+1573\)	2.6.0.a.1, 12.12.0-2.a.1.1, 308.12.0.?, 460.12.0.?, 924.24.0.?, $\ldots$	$[(-6, 73), (1, 31)]$
159390.du3	159390q2	159390.du	159390q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$106260$	$48$	$0$	$1.304222532$	$1$		$12$	$360448$	$1.170431$	$21973174804729/11291187600$	$0.86814$	$3.11480$	$[1, -1, 1, -5252, -47721]$	\(y^2+xy+y=x^3-x^2-5252x-47721\)	2.6.0.a.1, 4.12.0-2.a.1.1, 924.24.0.?, 1380.24.0.?, 35420.24.0.?, $\ldots$	$[(87, 341)]$
265650.ho3	265650ho2	265650.ho	265650ho	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$106260$	$48$	$0$	$1$	$1$		$2$	$1081344$	$1.425844$	$21973174804729/11291187600$	$0.86814$	$3.23280$	$[1, 0, 0, -14588, 225792]$	\(y^2+xy=x^3-14588x+225792\)	2.6.0.a.1, 60.12.0-2.a.1.1, 92.12.0.?, 924.12.0.?, 1380.24.0.?, $\ldots$	$[ ]$
371910.dj3	371910dj2	371910.dj	371910dj	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$106260$	$48$	$0$	$2.986733054$	$1$		$4$	$2162688$	$1.594080$	$21973174804729/11291187600$	$0.86814$	$3.30539$	$[1, 0, 1, -28593, -625292]$	\(y^2+xy+y=x^3-28593x-625292\)	2.6.0.a.1, 44.12.0-2.a.1.1, 84.12.0.?, 924.24.0.?, 1380.12.0.?, $\ldots$	$[(547, 11870)]$
425040.eh3	425040eh2	425040.eh	425040eh	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$106260$	$48$	$0$	$1.821576450$	$1$		$9$	$1081344$	$1.314272$	$21973174804729/11291187600$	$0.86814$	$3.01225$	$[0, 1, 0, -9336, -119340]$	\(y^2=x^3+x^2-9336x-119340\)	2.6.0.a.1, 12.12.0-2.a.1.1, 308.12.0.?, 460.12.0.?, 924.24.0.?, $\ldots$	$[(-36, 414)]$

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