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
10115.c.70805.1	10115.c	\( 5 \cdot 7 \cdot 17^{2} \)	\( 5 \cdot 7^{2} \cdot 17^{2} \)	$0$	$1$	$\Z/4\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$2$	$2$	2.30.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(9.537419\)	\(1.192177\)	$[176,-1292,-23681,283220]$	$[88,538,-1055,-95571,70805]$	$[5277319168/70805,366631936/70805,-1633984/14161]$	$y^2 + xy = x^5 - x^4 + x$