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
6201.a.241839.1	6201.a	\( 3^{2} \cdot 13 \cdot 53 \)	\( - 3^{3} \cdot 13^{2} \cdot 53 \)	$2$	$3$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.15.1	✓	✓	$1$	\( 2^{2} \)	\(0.018010\)	\(18.300731\)	\(0.329589\)	$[1260,869193,638706267,30955392]$	$[315,-32082,-5629636,-700647516,241839]$	$[114865340625/8957,-37138925250/8957,-20688912300/8957]$	$y^2 + (x^3 + 1)y = 2x^5 - 13x^3 + 21x^2 - 12x + 2$