Genus 2 curves in isogeny class 15104.c of discriminant 966656

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
15104.c.966656.1	15104.c	\( 2^{8} \cdot 59 \)	\( - 2^{14} \cdot 59 \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$3$	2.120.3	✓	✓	$1$	\( 2^{2} \)	\(1.000000\)	\(5.109262\)	\(1.277316\)	$[280,760,60604,-3776]$	$[560,11040,290816,10243840,-966656]$	$[-3361400000/59,-118335000/59,-5566400/59]$	$y^2 = x^5 + 3x^4 - 5x^2 + x$