Elliptic curves over $\Q$ of conductor 62

Results (4 matches)

 

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
62.a1	62a4	62.a	62a	$4$	$4$	\( 2 \cdot 31 \)	\( 2 \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.103	2B	$248$	$48$	$0$	$1$	$1$		$0$	$8$	$-0.108078$	$3999236143617/62$	$1.07559$	$7.03082$	$[1, -1, 1, -331, 2397]$	\(y^2+xy+y=x^3-x^2-331x+2397\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 124.12.0.?, 248.48.0.?	$[]$
62.a2	62a3	62.a	62a	$4$	$4$	\( 2 \cdot 31 \)	\( 2 \cdot 31^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.58	2B	$248$	$48$	$0$	$1$	$1$		$0$	$8$	$-0.108078$	$3196010817/1847042$	$1.17908$	$5.30275$	$[1, -1, 1, -31, 5]$	\(y^2+xy+y=x^3-x^2-31x+5\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 248.48.0.?	$[]$
62.a3	62a2	62.a	62a	$4$	$4$	\( 2 \cdot 31 \)	\( 2^{2} \cdot 31^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.1	2Cs	$248$	$48$	$0$	$1$	$1$		$2$	$4$	$-0.454651$	$979146657/3844$	$1.02504$	$5.01612$	$[1, -1, 1, -21, 41]$	\(y^2+xy+y=x^3-x^2-21x+41\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 124.24.0.?, 248.48.0.?	$[]$
62.a4	62a1	62.a	62a	$4$	$4$	\( 2 \cdot 31 \)	\( - 2^{4} \cdot 31 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.50	2B	$248$	$48$	$0$	$1$	$1$		$3$	$2$	$-0.801225$	$-35937/496$	$0.93090$	$3.32007$	$[1, -1, 1, -1, 1]$	\(y^2+xy+y=x^3-x^2-x+1\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 62.6.0.b.1, 124.24.0.?, $\ldots$	$[]$