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
86190.p1	86190o1	86190.p	86190o	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{5} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.471600611$	$1$		$4$	$823680$	$1.888721$	$-674636521/65025000$	$0.92730$	$4.04517$	$[1, 1, 0, -17072, -11121144]$	\(y^2+xy=x^3+x^2-17072x-11121144\)	40.2.0.a.1	$[(2267, 106604)]$
86190.bt1	86190bt1	86190.bt	86190bt	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{5} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1.091071563$	$1$		$4$	$63360$	$0.606246$	$-674636521/65025000$	$0.92730$	$2.69096$	$[1, 1, 1, -101, -5101]$	\(y^2+xy+y=x^3+x^2-101x-5101\)	40.2.0.a.1	$[(21, 40)]$
258570.ck1	258570ck1	258570.ck	258570ck	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{5} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.623563381$	$1$		$4$	$506880$	$1.155552$	$-674636521/65025000$	$0.92730$	$2.98265$	$[1, -1, 0, -909, 136813]$	\(y^2+xy=x^3-x^2-909x+136813\)	40.2.0.a.1	$[(-13, 389)]$
258570.dj1	258570dj1	258570.dj	258570dj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{5} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1.324480779$	$1$		$2$	$6589440$	$2.438026$	$-674636521/65025000$	$0.92730$	$4.21749$	$[1, -1, 1, -153653, 300117237]$	\(y^2+xy+y=x^3-x^2-153653x+300117237\)	40.2.0.a.1	$[(1817, 76662)]$
430950.cz1	430950cz1	430950.cz	430950cz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{11} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$3.333183027$	$1$		$8$	$1520640$	$1.410965$	$-674636521/65025000$	$0.92730$	$3.10146$	$[1, 0, 1, -2526, -632552]$	\(y^2+xy+y=x^3-2526x-632552\)	40.2.0.a.1	$[(122, 876), (158, 1629)]$
430950.ih1	430950ih1	430950.ih	430950ih	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{11} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$12.45597670$	$1$		$0$	$19768320$	$2.693439$	$-674636521/65025000$	$0.92730$	$4.28767$	$[1, 0, 0, -426813, -1389289383]$	\(y^2+xy=x^3-426813x-1389289383\)	40.2.0.a.1	$[(2644716/19, 4251169251/19)]$