Genus 2 curves of conductor 6511

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
6511.a.6511.1	6511.a	\( 17 \cdot 383 \)	\( 17 \cdot 383 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$12$	$0$		✓	✓	$1$	\( 1 \)	\(0.010491\)	\(27.158650\)	\(0.284927\)	$[292,12169,711445,833408]$	$[73,-285,1301,3437,6511]$	$[2073071593/6511,-110869845/6511,6933029/6511]$	$y^2 + (x^3 + x + 1)y = x^5 + 2x^4 - 2x^2 - x$