Genus 2 curves in isogeny class 100277.b 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.b.100277.1	100277.b	\( 149 \cdot 673 \)	\( 149 \cdot 673 \)	$0$	$0$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(5.063459\)	\(5.063459\)	$[24088,9051808,81756374264,401108]$	$[12044,4535446,7341036,-5120463745333,100277]$	$[253427496970010676224/100277,7923776934359848064/100277,1064875530261696/100277]$	$y^2 + y = x^5 + x^4 - 19x^3 - 11x^2 + 92x + 13$