Genus 2 curves of conductor 2556

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
2556.a.30672.1	2556.a	\( 2^{2} \cdot 3^{2} \cdot 71 \)	\( - 2^{4} \cdot 3^{3} \cdot 71 \)	$1$	$1$	$\Z/3\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.10.1, 3.80.1	✓	✓	$1$	\( 3^{2} \)	\(0.015776\)	\(20.515105\)	\(0.323646\)	$[8,373,7913,3834]$	$[8,-246,-6480,-28089,30672]$	$[2048/1917,-2624/639,-960/71]$	$y^2 + x^3y = -2x^4 - 2x^3 + x^2 + 2x + 1$