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
20096.b.160768.1	20096.b	\( 2^{7} \cdot 157 \)	\( - 2^{10} \cdot 157 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.10.1, 3.40.1	✓	✓	$1$	\( 2^{2} \)	\(0.010124\)	\(16.853673\)	\(0.682515\)	$[24,1680,7572,20096]$	$[24,-1096,768,-295696,160768]$	$[7776/157,-14796/157,432/157]$	$y^2 + (x^2 + 1)y = x^6 - 2x^4 - x^3 + x^2 + x$