Genus 2 curves in isogeny class 100352.c of discriminant 100352

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
100352.c.100352.1	100352.c	\( 2^{11} \cdot 7^{2} \)	\( 2^{11} \cdot 7^{2} \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.120.5	✓	✓	$1$	\( 1 \)	\(1.026921\)	\(10.319985\)	\(2.649452\)	$[1046,1036,356188,392]$	$[2092,179590,20265956,2535952963,100352]$	$[39129873538843/98,12845683618265/784,1385831669681/1568]$	$y^2 = x^5 - 9x^3 + 7x^2 + 14x - 14$