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
100234.a.801872.1	100234.a	\( 2 \cdot 23 \cdot 2179 \)	\( 2^{4} \cdot 23 \cdot 2179 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$7$	$1$	2.6.1	✓	✓	$1$	\( 2 \)	\(0.125507\)	\(5.600760\)	\(1.405864\)	$[2096,-1976,-780241,3207488]$	$[1048,46092,2655225,164550834,801872]$	$[79010794805248/50117,144165579648/2179,182265264900/50117]$	$y^2 + (x^3 + x)y = x^5 - x^4 - 5x^3 - x^2 + 5x - 3$