Genus 2 curves in isogeny class 6443.a of discriminant 6443

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
6443.a.6443.1	6443.a	\( 17 \cdot 379 \)	\( - 17 \cdot 379 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$11$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(0.013845\)	\(24.118331\)	\(0.333926\)	$[320,1360,111776,-25772]$	$[160,840,7136,109040,-6443]$	$[-104857600000/6443,-3440640000/6443,-182681600/6443]$	$y^2 + y = x^5 - x^4 - 2x^3 + x^2 + x$