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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 (3 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
27773.a1	27773a1	27773.a	27773a	$1$	$1$	\( 27773 \)	\( -27773 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$111092$	$2$	$0$	$1.006755713$	$1$		$24$	$5536$	$-0.367348$	$-979146657/27773$	$0.70083$	$2.02799$	$[1, -1, 1, -21, 42]$	\(y^2+xy+y=x^3-x^2-21x+42\)	111092.2.0.?	$[(3, -1), (2, 1), (4, 1)]$
27773.b1	27773c1	27773.b	27773c	$1$	$1$	\( 27773 \)	\( -27773 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$111092$	$2$	$0$	$0.968594494$	$1$		$10$	$2276$	$-0.418898$	$-176558481/27773$	$0.70895$	$1.87939$	$[1, -1, 1, -12, 20]$	\(y^2+xy+y=x^3-x^2-12x+20\)	111092.2.0.?	$[(2, 0), (1, 2)]$
27773.c1	27773b1	27773.c	27773b	$1$	$1$	\( 27773 \)	\( -27773 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$111092$	$2$	$0$	$1$	$1$		$0$	$31340$	$0.917323$	$-4567892220647015625/27773$	$0.94848$	$4.19921$	$[1, -1, 0, -34567, -2465042]$	\(y^2+xy=x^3-x^2-34567x-2465042\)	111092.2.0.?	$[]$

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