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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
26569.a1	26569a2	26569.a	26569a	$2$	$163$	\( 163^{2} \)	\( - 163^{9} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-163})$	$-163$	$N(\mathrm{U}(1))$		✓	$163$	163.26568.1027.138	163B.1.18				$373.4786615$	$1$		$0$	$9676984$	$4.398003$	$-262537412640768000$	$1.20362$	$8.43710$	$[0, 0, 1, -57772164980, -5344733777551611]$	\(y^2+y=x^3-57772164980x-5344733777551611\)		$[(1150923944292488543726890863378120035942011891300336997839334510976010687991054933351647193442228364206585159214322294141238417651316378270751054462255219601909957/1766329592033892836249183947310102011716698803675192826130313858535366309664511, 845582050130072311275386597783560053187286126452227505238961361128589023970974731358601337161665095706235200096614164700116910277815335123701887606850046247657712935173132161200083294592082728287513749943483489018633303880458566953626601201883/1766329592033892836249183947310102011716698803675192826130313858535366309664511)]$
26569.a2	26569a1	26569.a	26569a	$2$	$163$	\( 163^{2} \)	\( - 163^{3} \)	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-163})$	$-163$	$N(\mathrm{U}(1))$		✓	$163$	163.26568.1027.57	163B.1.145				$2.291280132$	$1$		$2$	$59368$	$1.851128$	$-262537412640768000$	$1.20362$	$5.43710$	$[0, 0, 1, -2174420, 1234136692]$	\(y^2+y=x^3-2174420x+1234136692\)		$[(850, 68)]$
26569.b1	26569b1	26569.b	26569b	$1$	$1$	\( 163^{2} \)	\( - 163^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$326$	$2$	$0$	$1$	$4$	$2$	$0$	$159408$	$1.696016$	$-884736/163$	$0.76689$	$4.37123$	$[0, 0, 1, -53138, -5413434]$	\(y^2+y=x^3-53138x-5413434\)	326.2.0.?	$[]$

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