Genus 2 curve search results

Results (unique match)

 

Label	Class	Conductor	Discriminant	Rank*	2-Selmer rank	Torsion	$\textrm{End}^0(J_{\overline\Q})$	$\textrm{End}^0(J)$	$\GL_2\textsf{-type}$	Sato-Tate	Nonmaximal primes	$\Q$-simple	\(\overline{\Q}\)-simple	\(\Aut(X)\)	\(\Aut(X_{\overline{\Q}})\)	$\Q$-points	$\Q$-Weierstrass points	mod-$\ell$ images	Locally solvable	Square Ш*	Analytic Ш*	Tamagawa	Regulator	Real period	Leading coefficient	Igusa-Clebsch invariants	Igusa invariants	G2-invariants	Equation
8212.a.32848.1	8212.a	\( 2^{2} \cdot 2053 \)	\( - 2^{4} \cdot 2053 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.10.1	✓	✓	$1$	\( 3 \)	\(0.006501\)	\(22.280189\)	\(0.434516\)	$[120,8016,496932,131392]$	$[60,-1186,-32448,-838369,32848]$	$[48600000/2053,-16011000/2053,-7300800/2053]$	$y^2 + (x^3 + x)y = 2x^3 - x^2 - 2x + 1$