Genus 2 curves of conductor 1012

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
1012.a.4048.1	1012.a	\( 2^{2} \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 11 \cdot 23 \)	$0$	$0$	$\Z/15\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3,5$	✓	✓	$C_2$	$C_2$	$5$	$1$	2.6.1, 3.80.1	✓	✓	$1$	\( 5 \)	\(1.000000\)	\(18.518969\)	\(0.411533\)	$[140,2425,78163,-518144]$	$[35,-50,-4,-660,-4048]$	$[-52521875/4048,1071875/2024,1225/1012]$	$y^2 + (x^3 + 1)y = x^4 + x^3 + x^2 + x$