Elliptic curve search results

Results (8 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
27753.d1	27753a1	27753.d	27753a	$1$	$1$	\( 3 \cdot 11 \cdot 29^{2} \)	\( - 3 \cdot 11^{2} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.924268626$	$1$		$4$	$2520$	$-0.237996$	$-950272/363$	$0.80174$	$2.05315$	$[0, -1, 1, -19, -36]$	\(y^2+y=x^3-x^2-19x-36\)	6.2.0.a.1	$[(6, 5)]$
27753.f1	27753h1	27753.f	27753h	$1$	$1$	\( 3 \cdot 11 \cdot 29^{2} \)	\( - 3 \cdot 11^{2} \cdot 29^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$73080$	$1.445652$	$-950272/363$	$0.80174$	$4.02789$	$[0, 1, 1, -16259, -1033597]$	\(y^2+y=x^3+x^2-16259x-1033597\)	6.2.0.a.1	$[]$
83259.h1	83259j1	83259.h	83259j	$1$	$1$	\( 3^{2} \cdot 11 \cdot 29^{2} \)	\( - 3^{7} \cdot 11^{2} \cdot 29^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.166547919$	$1$		$2$	$584640$	$1.994959$	$-950272/363$	$0.80174$	$4.21912$	$[0, 0, 1, -146334, 27760779]$	\(y^2+y=x^3-146334x+27760779\)	6.2.0.a.1	$[(-361, 5791)]$
83259.i1	83259k1	83259.i	83259k	$1$	$1$	\( 3^{2} \cdot 11 \cdot 29^{2} \)	\( - 3^{7} \cdot 11^{2} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.372547764$	$1$		$4$	$20160$	$0.311310$	$-950272/363$	$0.80174$	$2.43586$	$[0, 0, 1, -174, 1138]$	\(y^2+y=x^3-174x+1138\)	6.2.0.a.1	$[(16, 49)]$
305283.g1	305283g1	305283.g	305283g	$1$	$1$	\( 3 \cdot 11^{2} \cdot 29^{2} \)	\( - 3 \cdot 11^{8} \cdot 29^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$302400$	$0.960952$	$-950272/363$	$0.80174$	$2.80255$	$[0, -1, 1, -2339, 56891]$	\(y^2+y=x^3-x^2-2339x+56891\)	6.2.0.a.1	$[]$
305283.k1	305283k1	305283.k	305283k	$1$	$1$	\( 3 \cdot 11^{2} \cdot 29^{2} \)	\( - 3 \cdot 11^{8} \cdot 29^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$8769600$	$2.644600$	$-950272/363$	$0.80174$	$4.40234$	$[0, 1, 1, -1967379, 1367847806]$	\(y^2+y=x^3+x^2-1967379x+1367847806\)	6.2.0.a.1	$[]$
444048.j1	444048j1	444048.j	444048j	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \)	\( - 2^{12} \cdot 3 \cdot 11^{2} \cdot 29^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.555474000$	$1$		$0$	$5261760$	$2.138798$	$-950272/363$	$0.80174$	$3.80873$	$[0, -1, 0, -260149, 65890045]$	\(y^2=x^3-x^2-260149x+65890045\)	6.2.0.a.1	$[(9813/2, 952853/2)]$
444048.bv1	444048bv1	444048.bv	444048bv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \)	\( - 2^{12} \cdot 3 \cdot 11^{2} \cdot 29^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$181440$	$0.455152$	$-950272/363$	$0.80174$	$2.25503$	$[0, 1, 0, -309, 2595]$	\(y^2=x^3+x^2-309x+2595\)	6.2.0.a.1	$[]$