Elliptic curves over $\Q$ of conductor 3211

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
3211.a1	3211a3	3211.a	3211a	$3$	$9$	\( 13^{2} \cdot 19 \)	\( - 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$13338$	$1296$	$43$	$5.435237083$	$1$		$2$	$6480$	$1.315914$	$-50357871050752/19$	$1.10495$	$5.81346$	$[0, 1, 1, -130017, -18088053]$	\(y^2+y=x^3+x^2-130017x-18088053\)	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 39.8.0-3.a.1.2, $\ldots$	$[(2773, 144748)]$
3211.a2	3211a2	3211.a	3211a	$3$	$9$	\( 13^{2} \cdot 19 \)	\( - 13^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$13338$	$1296$	$43$	$1.811745694$	$1$		$2$	$2160$	$0.766607$	$-89915392/6859$	$1.03310$	$4.18956$	$[0, 1, 1, -1577, -26178]$	\(y^2+y=x^3+x^2-1577x-26178\)	3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 39.24.0-3.a.1.1, 114.24.1.?, $\ldots$	$[(56, 253)]$
3211.a3	3211a1	3211.a	3211a	$3$	$9$	\( 13^{2} \cdot 19 \)	\( - 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$13338$	$1296$	$43$	$0.603915231$	$1$		$4$	$720$	$0.217302$	$32768/19$	$1.31757$	$3.19369$	$[0, 1, 1, 113, 17]$	\(y^2+y=x^3+x^2+113x+17\)	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 39.8.0-3.a.1.1, $\ldots$	$[(17, 84)]$