Elliptic curve search results

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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
257754.r1	257754r2	257754.r	257754r	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{10} \cdot 7^{18} \cdot 17^{3} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7752$	$16$	$0$	$28.54784668$	$1$		$0$	$15397879680$	$6.157883$	$-15431857370630972204702226136417/3779323070318626304351304$	$1.06553$	$8.12687$	$[1, 1, 0, -9493146128126, 11260432875231620892]$	\(y^2+xy=x^3+x^2-9493146128126x+11260432875231620892\)	3.4.0.a.1, 57.8.0-3.a.1.2, 136.2.0.?, 408.8.0.?, 7752.16.0.?	$[(276291625115447/7087, 3986689026245534389145/7087)]$
257754.cr1	257754cr2	257754.cr	257754cr	$2$	$3$	\( 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19^{2} \)	\( - 2^{3} \cdot 3^{10} \cdot 7^{18} \cdot 17^{3} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$408$	$16$	$0$	$1$	$1$		$0$	$810414720$	$4.685661$	$-15431857370630972204702226136417/3779323070318626304351304$	$1.06553$	$6.70897$	$[1, 0, 0, -26296803679, -1641704601475999]$	\(y^2+xy=x^3-26296803679x-1641704601475999\)	3.8.0-3.a.1.1, 136.2.0.?, 408.16.0.?	$[ ]$

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