Genus 2 curves in isogeny class 6928.c of discriminant 443392

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
6928.c.443392.1	6928.c	\( 2^{4} \cdot 433 \)	\( - 2^{10} \cdot 433 \)	$0$	$0$	$\Z/13\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,13$	✓	✓	$C_2$	$C_2$	$4$	$0$	2.10.1	✓	✓	$1$	\( 13 \)	\(1.000000\)	\(16.670347\)	\(1.282334\)	$[804,10701,3153213,55424]$	$[804,19800,-6544,-99325344,443392]$	$[328080401001/433,20098487475/866,-16524009/1732]$	$y^2 + (x + 1)y = x^6 - 4x^5 + 3x^4 + x^3 + 2x^2 + x$