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
10048.a.10048.1	10048.a	\( 2^{6} \cdot 157 \)	\( - 2^{6} \cdot 157 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$6$	$0$	2.10.1	✓	✓	$1$	\( 1 \)	\(0.041489\)	\(17.159236\)	\(0.711923\)	$[460,16375,1900672,1256]$	$[460,-2100,-69264,-9067860,10048]$	$[321817150000/157,-3193837500/157,-229004100/157]$	$y^2 + (x^3 + x^2)y = 2x^4 - x^3 + x^2 - 4x + 2$