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
18080.c.723200.1	18080.c	\( 2^{5} \cdot 5 \cdot 113 \)	\( - 2^{8} \cdot 5^{2} \cdot 113 \)	$2$	$3$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.90.1	✓	✓	$1$	\( 2^{3} \)	\(0.022197\)	\(14.767439\)	\(0.655575\)	$[148,2917,148783,90400]$	$[148,-1032,-44800,-1923856,723200]$	$[277375828/2825,-13068474/2825,-153328/113]$	$y^2 + xy = x^6 - 2x^5 + x^3 + x^2 - 2x + 1$