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
73689.k1	73689f1	73689.k	73689f	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3 \cdot 7 \cdot 11^{4} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$0.893190904$	$1$		$4$	$17472$	$0.304567$	$31719424/17661$	$0.90922$	$2.39694$	$[0, -1, 1, -161, -100]$	\(y^2+y=x^3-x^2-161x-100\)	42.2.0.a.1	$[(-2, 14)]$
73689.n1	73689k1	73689.n	73689k	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3 \cdot 7 \cdot 11^{10} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$3.602159349$	$1$		$2$	$192192$	$1.503515$	$31719424/17661$	$0.90922$	$3.68066$	$[0, -1, 1, -19521, 210803]$	\(y^2+y=x^3-x^2-19521x+210803\)	42.2.0.a.1	$[(-119, 913)]$
221067.r1	221067t1	221067.r	221067t	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3^{7} \cdot 7 \cdot 11^{4} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$0.616826744$	$1$		$4$	$139776$	$0.853873$	$31719424/17661$	$0.90922$	$2.71860$	$[0, 0, 1, -1452, 4144]$	\(y^2+y=x^3-1452x+4144\)	42.2.0.a.1	$[(-22, 159)]$
221067.u1	221067s1	221067.u	221067s	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3^{7} \cdot 7 \cdot 11^{10} \cdot 29^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$6.068710212$	$1$		$0$	$1537536$	$2.052822$	$31719424/17661$	$0.90922$	$3.88771$	$[0, 0, 1, -175692, -5515997]$	\(y^2+y=x^3-175692x-5515997\)	42.2.0.a.1	$[(-1319/4, 185539/4)]$