Elliptic curve search results

Results (5 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
43190.g1	43190s2	43190.g	43190s	$2$	$7$	\( 2 \cdot 5 \cdot 7 \cdot 617 \)	\( - 2 \cdot 5 \cdot 7 \cdot 617^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$172760$	$96$	$2$	$12.86926243$	$1$		$0$	$6108144$	$2.784016$	$-226953328047600468451761/2382836194386693393110$	$1.09181$	$5.31519$	$[1, -1, 1, -1270782, -2412118701]$	\(y^2+xy+y=x^3-x^2-1270782x-2412118701\)	7.48.0-7.a.2.2, 172760.96.2.?	$[(247621/12, 36578569/12)]$
215950.o1	215950bb2	215950.o	215950bb	$2$	$7$	\( 2 \cdot 5^{2} \cdot 7 \cdot 617 \)	\( - 2 \cdot 5^{7} \cdot 7 \cdot 617^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$172760$	$96$	$2$	$201.3567768$	$1$		$0$	$146595456$	$3.588737$	$-226953328047600468451761/2382836194386693393110$	$1.09181$	$5.40492$	$[1, -1, 0, -31769542, -301546607134]$	\(y^2+xy=x^3-x^2-31769542x-301546607134\)	7.24.0.a.2, 35.48.0-7.a.2.1, 34552.48.0.?, 172760.96.2.?	$[(12331672650195671476931341340974304602016194067641559080969560294420063499587007343298469/605380903570914514217860086605481065877636, 1340802448200857727563233690073525225324921823751020263656140884161573034627716083798459359341777479322969423233865950645058985478383/605380903570914514217860086605481065877636)]$
302330.bo1	302330bo2	302330.bo	302330bo	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \cdot 617 \)	\( - 2 \cdot 5 \cdot 7^{7} \cdot 617^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$172760$	$96$	$2$	$1$	$9$	$3$	$0$	$293190912$	$3.756973$	$-226953328047600468451761/2382836194386693393110$	$1.09181$	$5.42079$	$[1, -1, 1, -62268303, 827481250957]$	\(y^2+xy+y=x^3-x^2-62268303x+827481250957\)	7.48.0-7.a.2.1, 172760.96.2.?	$[]$
345520.bn1	345520bn2	345520.bn	345520bn	$2$	$7$	\( 2^{4} \cdot 5 \cdot 7 \cdot 617 \)	\( - 2^{13} \cdot 5 \cdot 7 \cdot 617^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$172760$	$96$	$2$	$1$	$4$	$2$	$0$	$146595456$	$3.477165$	$-226953328047600468451761/2382836194386693393110$	$1.09181$	$5.10074$	$[0, 0, 0, -20332507, 154395929354]$	\(y^2=x^3-20332507x+154395929354\)	7.24.0.a.2, 28.48.0-7.a.2.1, 172760.96.2.?	$[]$
388710.v1	388710v2	388710.v	388710v	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 \)	\( - 2 \cdot 3^{6} \cdot 5 \cdot 7 \cdot 617^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$518280$	$96$	$2$	$48.00424614$	$1$		$0$	$85514016$	$3.333324$	$-226953328047600468451761/2382836194386693393110$	$1.09181$	$4.91995$	$[1, -1, 0, -11437035, 65138641955]$	\(y^2+xy=x^3-x^2-11437035x+65138641955\)	7.24.0.a.2, 21.48.0-7.a.2.2, 172760.48.2.?, 518280.96.2.?	$[(648383442540843810173/157459087, 16350404500515507262216910113152/157459087)]$