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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 (6 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
106.a1	106b1	106.a	106b	$1$	$1$	\( 2 \cdot 53 \)	\( - 2^{4} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$212$	$2$	$0$	$0.068912680$	$1$		$10$	$8$	$-0.641726$	$-47045881/848$	$1.00810$	$3.79490$	$[1, 1, 0, -7, 5]$	\(y^2+xy=x^3+x^2-7x+5\)	212.2.0.?	$[(2, 1)]$
106.b1	106d1	106.b	106d	$1$	$1$	\( 2 \cdot 53 \)	\( - 2^{5} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$424$	$2$	$0$	$1$	$1$		$0$	$10$	$-0.446259$	$-2305199161/1696$	$0.90862$	$4.62313$	$[1, 1, 0, -27, -67]$	\(y^2+xy=x^3+x^2-27x-67\)	424.2.0.?	$[]$
106.c1	106a2	106.c	106a	$2$	$3$	\( 2 \cdot 53 \)	\( - 2 \cdot 53^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$1272$	$16$	$0$	$1$	$1$		$0$	$18$	$-0.263907$	$-81182737/297754$	$0.92112$	$4.33269$	$[1, 0, 0, -9, -29]$	\(y^2+xy=x^3-9x-29\)	3.8.0-3.a.1.1, 424.2.0.?, 1272.16.0.?	$[]$
106.c2	106a1	106.c	106a	$2$	$3$	\( 2 \cdot 53 \)	\( - 2^{3} \cdot 53 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1272$	$16$	$0$	$1$	$1$		$2$	$6$	$-0.813213$	$103823/424$	$0.82910$	$2.86305$	$[1, 0, 0, 1, 1]$	\(y^2+xy=x^3+x+1\)	3.8.0-3.a.1.2, 424.2.0.?, 1272.16.0.?	$[]$
106.d1	106c2	106.d	106c	$2$	$3$	\( 2 \cdot 53 \)	\( - 2^{8} \cdot 53^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$636$	$16$	$0$	$1$	$1$		$0$	$144$	$0.977397$	$-1646982616152408625/38112512$	$1.03018$	$8.99454$	$[1, 0, 0, -24603, -1487407]$	\(y^2+xy=x^3-24603x-1487407\)	3.8.0-3.a.1.1, 212.2.0.?, 636.16.0.?	$[]$
106.d2	106c1	106.d	106c	$2$	$3$	\( 2 \cdot 53 \)	\( - 2^{24} \cdot 53 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$636$	$16$	$0$	$1$	$1$		$2$	$48$	$0.428091$	$-2507141976625/889192448$	$0.97433$	$6.22463$	$[1, 0, 0, -283, -2351]$	\(y^2+xy=x^3-283x-2351\)	3.8.0-3.a.1.2, 212.2.0.?, 636.16.0.?	$[]$

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