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
219954.a1	219954d1	219954.a	219954d	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 5237 \)	\( - 2^{45} \cdot 3^{5} \cdot 7^{13} \cdot 5237 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$879816$	$2$	$0$	$1$	$576$	$2, 3$	$0$	$4866357600$	$5.633255$	$-6898402571624017737821027485697912350199977/4338235986289930113025818230784$	$1.04380$	$8.01874$	$[1, 1, 0, -3965898614986, -3039910247185035308]$	\(y^2+xy=x^3+x^2-3965898614986x-3039910247185035308\)	879816.2.0.?	$[]$
223278.x1	223278m4	223278.x	223278m	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 199 \)	\( 2^{2} \cdot 3^{9} \cdot 11 \cdot 17 \cdot 199 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$893112$	$48$	$0$	$1$	$576$	$2, 3$	$0$	$168542208$	$3.867809$	$421946895797453511299934259719017473/2929853916$	$1.03750$	$6.66036$	$[1, 1, 1, -15625887552, -751828728253179]$	\(y^2+xy+y=x^3+x^2-15625887552x-751828728253179\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$	$[]$
251430.x1	251430x4	251430.x	251430x	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 29 \)	\( 2^{13} \cdot 3 \cdot 5 \cdot 17^{10} \cdot 29^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$59160$	$48$	$0$	$1$	$576$	$2, 3$	$0$	$9661317120$	$6.093956$	$18148698938808314937252586853018238601/3631222518755817034550599680$	$1.09015$	$8.26631$	$[1, 0, 1, -15822378551919, -24224550008121277214]$	\(y^2+xy+y=x^3-15822378551919x-24224550008121277214\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 340.12.0.?, 408.12.0.?, $\ldots$	$[]$
251430.x3	251430x3	251430.x	251430x	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 29 \)	\( - 2^{13} \cdot 3 \cdot 5^{4} \cdot 17^{22} \cdot 29^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$59160$	$48$	$0$	$1$	$576$	$2, 3$	$0$	$9661317120$	$6.093956$	$-9197134865683318400353506819721/18229214340950618962684554240000$	$1.08689$	$7.75517$	$[1, 0, 1, -126146185839, -1009374345914071838]$	\(y^2+xy+y=x^3-126146185839x-1009374345914071838\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 408.12.0.?, 680.12.0.?, $\ldots$	$[]$