Elliptic curve search results

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
98315.d1	98315a1	98315.d	98315a	$1$	$1$	\( 5 \cdot 7 \cdot 53^{2} \)	\( - 5 \cdot 7^{3} \cdot 53^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$4$	$2$	$0$	$824256$	$1.963316$	$-1736704/1715$	$0.75098$	$4.09932$	$[0, -1, 1, -99251, 19832346]$	\(y^2+y=x^3-x^2-99251x+19832346\)	70.2.0.a.1	$[]$
98315.f1	98315e1	98315.f	98315e	$1$	$1$	\( 5 \cdot 7 \cdot 53^{2} \)	\( - 5 \cdot 7^{3} \cdot 53^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$4.996540713$	$1$		$4$	$15552$	$-0.021830$	$-1736704/1715$	$0.75098$	$2.02713$	$[0, 1, 1, -35, 121]$	\(y^2+y=x^3+x^2-35x+121\)	70.2.0.a.1	$[(-1, 12), (-7, 8)]$
491575.e1	491575e1	491575.e	491575e	$1$	$1$	\( 5^{2} \cdot 7 \cdot 53^{2} \)	\( - 5^{7} \cdot 7^{3} \cdot 53^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.452018906$	$1$		$8$	$373248$	$0.782888$	$-1736704/1715$	$0.75098$	$2.51502$	$[0, -1, 1, -883, 16918]$	\(y^2+y=x^3-x^2-883x+16918\)	70.2.0.a.1	$[(22, 87), (8, 101)]$
491575.h1	491575h1	491575.h	491575h	$1$	$1$	\( 5^{2} \cdot 7 \cdot 53^{2} \)	\( - 5^{7} \cdot 7^{3} \cdot 53^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.053794373$	$1$		$0$	$19782144$	$2.768036$	$-1736704/1715$	$0.75098$	$4.33273$	$[0, 1, 1, -2481283, 2474080719]$	\(y^2+y=x^3+x^2-2481283x+2474080719\)	70.2.0.a.1	$[(-4683/2, 491571/2)]$