Elliptic curves over $\Q$ of conductor 70699

Results (3 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
70699.a1	70699a3	70699.a	70699a	$3$	$9$	\( 19 \cdot 61^{2} \)	\( - 19 \cdot 61^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$62586$	$1296$	$43$	$1$	$9$	$3$	$0$	$691740$	$2.088875$	$-50357871050752/19$	$1.10495$	$5.03443$	$[0, 1, 1, -2862689, -1865226945]$	\(y^2+y=x^3+x^2-2862689x-1865226945\)	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 114.8.0.?, $\ldots$	$[]$
70699.a2	70699a2	70699.a	70699a	$3$	$9$	\( 19 \cdot 61^{2} \)	\( - 19^{3} \cdot 61^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$62586$	$1296$	$43$	$1$	$1$		$0$	$230580$	$1.539570$	$-89915392/6859$	$1.03310$	$3.86018$	$[0, 1, 1, -34729, -2661790]$	\(y^2+y=x^3+x^2-34729x-2661790\)	3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 171.108.4.?, $\ldots$	$[]$
70699.a3	70699a1	70699.a	70699a	$3$	$9$	\( 19 \cdot 61^{2} \)	\( - 19 \cdot 61^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$62586$	$1296$	$43$	$1$	$1$		$0$	$76860$	$0.990264$	$32768/19$	$1.31757$	$3.14006$	$[0, 1, 1, 2481, -1275]$	\(y^2+y=x^3+x^2+2481x-1275\)	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 114.8.0.?, $\ldots$	$[]$