Genus 2 curves of conductor 975

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
975.a.63375.1	975.a	\( 3 \cdot 5^{2} \cdot 13 \)	\( - 3 \cdot 5^{3} \cdot 13^{2} \)	$0$	$2$	$\Z/2\Z\oplus\Z/6\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.180.3, 3.80.1	✓	✓	$1$	\( 2^{2} \)	\(1.000000\)	\(14.356290\)	\(0.398786\)	$[148,-48575,-4076175,-8112000]$	$[37,2081,35929,-750297,-63375]$	$[-69343957/63375,-105408893/63375,-49186801/63375]$	$y^2 + (x^3 + 1)y = -x^5 + x^3 + 2x^2 + x - 1$