Genus 2 curve search results

Conductor	Discriminant	Rational points*	Weierstrass	Torsion order
Bad \(p\)	2-Selmer rank	Analytic rank*	Analytic Ш*	Torsion
$\GL_2$-type	\(\mathrm{ST}\)	\(\mathrm{Aut}(X)\)	Square Ш*	\(\overline{\Q}\)-simple
\(\overline{\Q}\)-end algebra	\(\mathrm{ST}^0\)	\(\mathrm{Aut}(X_{\overline{\Q}})\)	Locally solvable

Results (displaying all 4 matches)

Label	Class	Equation	Sato-Tate	\(\overline{\Q}\)-simple	\(\GL_2\)	Rank*
2916.b.11664.1	2916.b	\(y^2 + y = x^6\)	$D_{3,2}$		✓	0
11664.a.11664.1	11664.a	\(y^2 + y = -x^6\)	$D_{6,2}$		✓	1
20736.i.373248.1	20736.i	\(y^2 + x^3y = -2\)	$D_{2,1}$		✓	0
20736.k.373248.1	20736.k	\(y^2 + x^3y = 2\)	$D_{2,1}$		✓	1