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
10064.a.10064.1	10064.a	\( 2^{4} \cdot 17 \cdot 37 \)	\( - 2^{4} \cdot 17 \cdot 37 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$4$	$0$	2.10.1	✓	✓	$1$	\( 1 \)	\(0.034575\)	\(22.394433\)	\(0.774288\)	$[104,9760,284236,40256]$	$[52,-1514,-7760,-673929,10064]$	$[23762752/629,-13305032/629,-1311440/629]$	$y^2 + (x^3 + x)y = -x^4 - 2x^3 + x^2 + 2x + 1$