Genus 2 curves in isogeny class 100277.a of discriminant 100277

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
100277.a.100277.1	100277.a	\( 149 \cdot 673 \)	\( 149 \cdot 673 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$8$	$0$		✓	✓	$1$	\( 1 \)	\(0.067136\)	\(18.915020\)	\(1.269881\)	$[452,20449,572017,12835456]$	$[113,-320,22140,599855,100277]$	$[18424351793/100277,-461727040/100277,282705660/100277]$	$y^2 + (x^3 + x^2 + 1)y = 2x^4 + 3x^3 - x^2 - x$