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.b.160768.1	10048.b	\( 2^{6} \cdot 157 \)	\( - 2^{10} \cdot 157 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$6$	$0$	2.10.1	✓	✓	$1$	\( 3^{2} \)	\(0.009996\)	\(12.047346\)	\(1.083807\)	$[172,679,25648,20096]$	$[172,780,10608,304044,160768]$	$[147008443/157,15503865/628,1225887/628]$	$y^2 + (x^3 + x^2)y = x^4 + 3x^3 + 5x^2 + 4x + 2$