↑

Learn more

Refine search

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

		Sort order	Select

Results (displaying both matches)

Download displayed columns for results to

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
483.a1	483b1	483.a	483b	$1$	$1$	$3 \cdot 7 \cdot 23$	$- 3 \cdot 7 \cdot 23$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$966$	$2$	$0$	$1$	$1$		$0$	$20$	$-0.797830$	$512000/483$	$0.74348$	$2.12719$	$[0, 1, 1, 2, 1]$	$y^2+y=x^3+x^2+2x+1$	966.2.0.?	$[]$
483.b1	483a1	483.b	483a	$1$	$1$	$3 \cdot 7 \cdot 23$	$- 3^{5} \cdot 7 \cdot 23^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$966$	$2$	$0$	$1$	$1$		$0$	$300$	$0.125521$	$-98867482624/20696067$	$1.05025$	$4.14656$	$[0, 1, 1, -96, -457]$	$y^2+y=x^3+x^2-96x-457$	966.2.0.?	$[]$

Download displayed columns for results to