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
18097.a1	18097b1	18097.a	18097b	$1$	$1$	\( 18097 \)	\( 18097 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$36194$	$2$	$0$	$1.107557875$	$1$		$22$	$2160$	$-0.461119$	$111284641/18097$	$0.68953$	$1.88990$	$[1, 1, 1, -10, 6]$	\(y^2+xy+y=x^3+x^2-10x+6\)	36194.2.0.?	$[(2, -1), (0, 2), (3, 2)]$
162873.d1	162873d1	162873.d	162873d	$1$	$1$	\( 3^{2} \cdot 18097 \)	\( 3^{6} \cdot 18097 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$36194$	$2$	$0$	$1$	$4$	$2$	$0$	$64800$	$0.088187$	$111284641/18097$	$0.68953$	$2.09315$	$[1, -1, 0, -90, -257]$	\(y^2+xy=x^3-x^2-90x-257\)	36194.2.0.?	$[]$
289552.h1	289552h1	289552.h	289552h	$1$	$1$	\( 2^{4} \cdot 18097 \)	\( 2^{12} \cdot 18097 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$36194$	$2$	$0$	$2.577991359$	$1$		$6$	$138240$	$0.232028$	$111284641/18097$	$0.68953$	$2.13464$	$[0, 1, 0, -160, -716]$	\(y^2=x^3+x^2-160x-716\)	36194.2.0.?	$[(-6, 8), (15, 22)]$
452425.b1	452425b1	452425.b	452425b	$1$	$1$	\( 5^{2} \cdot 18097 \)	\( 5^{6} \cdot 18097 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$36194$	$2$	$0$	$6.909335941$	$1$		$4$	$172800$	$0.343600$	$111284641/18097$	$0.68953$	$2.16429$	$[1, 0, 1, -251, 1273]$	\(y^2+xy+y=x^3-251x+1273\)	36194.2.0.?	$[(13, 9), (1, 31)]$