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
8588.a.34352.1	8588.a	\( 2^{2} \cdot 19 \cdot 113 \)	\( 2^{4} \cdot 19 \cdot 113 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$14$	$0$		✓	✓	$1$	\( 3 \)	\(0.007661\)	\(19.413626\)	\(0.446187\)	$[192,1644,150180,-137408]$	$[96,110,-7332,-178993,-34352]$	$[-509607936/2147,-6082560/2147,4223232/2147]$	$y^2 + (x^2 + 1)y = x^6 - x^4 - x^3 + x$