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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 (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
931.a1	931b3	931.a	931b	$3$	$9$	\( 7^{2} \cdot 19 \)	\( - 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$7182$	$1296$	$43$	$1$	$1$		$0$	$1134$	$1.006393$	$-50357871050752/19$	$1.10495$	$6.32300$	$[0, -1, 1, -37697, 2829742]$	\(y^2+y=x^3-x^2-37697x+2829742\)	3.4.0.a.1, 9.12.0.a.1, 21.8.0-3.a.1.2, 27.36.0.a.1, 38.2.0.a.1, $\ldots$	$[]$
931.a2	931b2	931.a	931b	$3$	$9$	\( 7^{2} \cdot 19 \)	\( - 7^{6} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$7182$	$1296$	$43$	$1$	$1$		$0$	$378$	$0.457088$	$-89915392/6859$	$1.03310$	$4.40499$	$[0, -1, 1, -457, 4157]$	\(y^2+y=x^3-x^2-457x+4157\)	3.12.0.a.1, 9.36.0.b.1, 21.24.0-3.a.1.1, 38.2.0.a.1, 63.72.0-9.b.1.1, $\ldots$	$[]$
931.a3	931b1	931.a	931b	$3$	$9$	\( 7^{2} \cdot 19 \)	\( - 7^{6} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$7182$	$1296$	$43$	$1$	$1$		$0$	$126$	$-0.092218$	$32768/19$	$1.31757$	$3.22876$	$[0, -1, 1, 33, -8]$	\(y^2+y=x^3-x^2+33x-8\)	3.4.0.a.1, 9.12.0.a.1, 21.8.0-3.a.1.1, 27.36.0.a.1, 38.2.0.a.1, $\ldots$	$[]$
931.b1	931c1	931.b	931c	$1$	$1$	\( 7^{2} \cdot 19 \)	\( - 7^{2} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$78$	$-0.729465$	$-28672/19$	$0.67892$	$2.18229$	$[0, 1, 1, -2, -3]$	\(y^2+y=x^3+x^2-2x-3\)	38.2.0.a.1	$[]$
931.c1	931a1	931.c	931a	$1$	$1$	\( 7^{2} \cdot 19 \)	\( - 7^{8} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$546$	$0.243490$	$-28672/19$	$0.67892$	$3.89016$	$[0, -1, 1, -114, 727]$	\(y^2+y=x^3-x^2-114x+727\)	38.2.0.a.1	$[]$

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