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
55545.e1	55545i1	55545.e	55545i	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{5} \cdot 5^{7} \cdot 7^{3} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$3.945643669$	$1$		$2$	$2318400$	$2.653320$	$182074754111/6511640625$	$0.96636$	$5.04526$	$[1, 0, 0, 505184, -1077594175]$	\(y^2+xy=x^3+505184x-1077594175\)	420.2.0.?	$[(2689, 139105)]$
55545.h1	55545z1	55545.h	55545z	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{5} \cdot 5^{7} \cdot 7^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$0.072659581$	$1$		$12$	$100800$	$1.085573$	$182074754111/6511640625$	$0.96636$	$3.32324$	$[1, 0, 0, 955, 88650]$	\(y^2+xy=x^3+955x+88650\)	420.2.0.?	$[(115, 1255)]$
166635.br1	166635bu1	166635.br	166635bu	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{11} \cdot 5^{7} \cdot 7^{3} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$806400$	$1.634880$	$182074754111/6511640625$	$0.96636$	$3.56782$	$[1, -1, 0, 8595, -2393550]$	\(y^2+xy=x^3-x^2+8595x-2393550\)	420.2.0.?	$[]$
166635.bt1	166635bk1	166635.bt	166635bk	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{11} \cdot 5^{7} \cdot 7^{3} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$18547200$	$3.202625$	$182074754111/6511640625$	$0.96636$	$5.13250$	$[1, -1, 0, 4546656, 29095042725]$	\(y^2+xy=x^3-x^2+4546656x+29095042725\)	420.2.0.?	$[]$
277725.bx1	277725bx1	277725.bx	277725bx	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{5} \cdot 5^{13} \cdot 7^{3} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$11.28642833$	$1$		$2$	$2419200$	$1.890293$	$182074754111/6511640625$	$0.96636$	$3.66694$	$[1, 1, 0, 23875, 11081250]$	\(y^2+xy=x^3+x^2+23875x+11081250\)	420.2.0.?	$[(-50, 3150), (195925/12, 86333825/12)]$
277725.cl1	277725cl1	277725.cl	277725cl	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 3^{5} \cdot 5^{13} \cdot 7^{3} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$44.98361098$	$1$		$0$	$55641600$	$3.458038$	$182074754111/6511640625$	$0.96636$	$5.16785$	$[1, 1, 0, 12629600, -134699271875]$	\(y^2+xy=x^3+x^2+12629600x-134699271875\)	420.2.0.?	$[(114039710247028273164/60098627, 1219517877555926783878827138193/60098627)]$
388815.n1	388815n1	388815.n	388815n	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{5} \cdot 5^{7} \cdot 7^{9} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$10.54665228$	$1$		$0$	$4838400$	$2.058529$	$182074754111/6511640625$	$0.96636$	$3.72793$	$[1, 1, 1, 46794, -30360156]$	\(y^2+xy+y=x^3+x^2+46794x-30360156\)	420.2.0.?	$[(27252/7, 4351332/7)]$
388815.ba1	388815ba1	388815.ba	388815ba	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( - 3^{5} \cdot 5^{7} \cdot 7^{9} \cdot 23^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$2.481916769$	$1$		$8$	$111283200$	$3.626274$	$182074754111/6511640625$	$0.96636$	$5.18961$	$[1, 1, 1, 24754015, 369639556040]$	\(y^2+xy+y=x^3+x^2+24754015x+369639556040\)	420.2.0.?	$[(-4012, 455623), (-707632/11, 213916213/11)]$