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
1062.a.6372.1	1062.a	\( 2 \cdot 3^{2} \cdot 59 \)	\( 2^{2} \cdot 3^{3} \cdot 59 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$11$	$1$	2.60.1	✓	✓	$1$	\( 2^{2} \)	\(0.008698\)	\(21.575863\)	\(0.187677\)	$[300,2601,306603,-815616]$	$[75,126,-1024,-23169,-6372]$	$[-87890625/236,-984375/118,160000/177]$	$y^2 + (x^3 + 1)y = x^5 - x^4 + x^2 - x$