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
349.a.349.1	349.a	\( 349 \)	\( 349 \)	$0$	$0$	$\Z/13\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,13$	✓	✓	$C_2$	$C_2$	$5$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(27.988484\)	\(0.165612\)	$[8,208,1464,-1396]$	$[4,-34,-124,-413,-349]$	$[-1024/349,2176/349,1984/349]$	$y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x^2$