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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
155.a1	155a2	155.a	155a	$2$	$5$	\( 5 \cdot 31 \)	\( - 5 \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$310$	$48$	$1$	$0.302977456$	$1$		$6$	$100$	$0.448537$	$-65626385453056/143145755$	$0.97061$	$6.30896$	$[0, -1, 1, -840, -9114]$	\(y^2+y=x^3-x^2-840x-9114\)	5.24.0-5.a.2.2, 310.48.1.?	$[(67, 480)]$
155.a2	155a1	155.a	155a	$2$	$5$	\( 5 \cdot 31 \)	\( - 5^{5} \cdot 31 \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$310$	$48$	$1$	$1.514887282$	$1$		$10$	$20$	$-0.356182$	$99897344/96875$	$0.86229$	$3.65221$	$[0, -1, 1, 10, 6]$	\(y^2+y=x^3-x^2+10x+6\)	5.24.0-5.a.1.2, 310.48.1.?	$[(2, 5)]$
155.b1	155b2	155.b	155b	$2$	$2$	\( 5 \cdot 31 \)	\( 5 \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$620$	$12$	$0$	$1$	$1$		$0$	$16$	$-0.415604$	$1948441249/4805$	$0.86747$	$4.24122$	$[1, 1, 1, -26, -62]$	\(y^2+xy+y=x^3+x^2-26x-62\)	2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.?	$[]$
155.b2	155b1	155.b	155b	$2$	$2$	\( 5 \cdot 31 \)	\( - 5^{2} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$620$	$12$	$0$	$1$	$1$		$1$	$8$	$-0.762177$	$-117649/775$	$0.89386$	$2.81392$	$[1, 1, 1, -1, -2]$	\(y^2+xy+y=x^3+x^2-x-2\)	2.3.0.a.1, 20.6.0.c.1, 62.6.0.b.1, 620.12.0.?	$[]$
155.c1	155c1	155.c	155c	$1$	$1$	\( 5 \cdot 31 \)	\( - 5 \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$310$	$2$	$0$	$0.184143922$	$1$		$6$	$4$	$-0.877241$	$-262144/155$	$0.79514$	$2.61342$	$[0, -1, 1, -1, 1]$	\(y^2+y=x^3-x^2-x+1\)	310.2.0.?	$[(1, 0)]$

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