Elliptic curve search results

Results (6 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
75810.v1	75810p1	75810.v	75810p	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$383040$	$1.617439$	$-51026761/107520$	$0.84324$	$3.81260$	$[1, 1, 0, -19862, 2312916]$	\(y^2+xy=x^3+x^2-19862x+2312916\)	420.2.0.?	$[]$
75810.dn1	75810dl1	75810.dn	75810dl	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1.569767356$	$1$		$2$	$20160$	$0.145220$	$-51026761/107520$	$0.84324$	$2.24027$	$[1, 0, 0, -55, -343]$	\(y^2+xy=x^3-55x-343\)	420.2.0.?	$[(22, 85)]$
227430.h1	227430fc1	227430.h	227430fc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$0.604836177$	$1$		$4$	$161280$	$0.694527$	$-51026761/107520$	$0.84324$	$2.57514$	$[1, -1, 0, -495, 9261]$	\(y^2+xy=x^3-x^2-495x+9261\)	420.2.0.?	$[(30, 129)]$
227430.dp1	227430bx1	227430.dp	227430bx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$4.921491193$	$1$		$2$	$3064320$	$2.166744$	$-51026761/107520$	$0.84324$	$4.00743$	$[1, -1, 1, -178763, -62627493]$	\(y^2+xy+y=x^3-x^2-178763x-62627493\)	420.2.0.?	$[(1475, 52938)]$
379050.bt1	379050bt1	379050.bt	379050bt	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1.944327226$	$1$		$2$	$483840$	$0.949939$	$-51026761/107520$	$0.84324$	$2.71134$	$[1, 1, 0, -1375, -42875]$	\(y^2+xy=x^3+x^2-1375x-42875\)	420.2.0.?	$[(270, 4265)]$
379050.jp1	379050jp1	379050.jp	379050jp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$9192960$	$2.422157$	$-51026761/107520$	$0.84324$	$4.08667$	$[1, 0, 0, -496563, 290107617]$	\(y^2+xy=x^3-496563x+290107617\)	420.2.0.?	$[]$