Genus 2 curves in isogeny class 100341.a of discriminant 100341

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
100341.a.100341.1	100341.a	\( 3^{2} \cdot 11149 \)	\( 3^{2} \cdot 11149 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(0.949761\)	\(4.057160\)	\(3.853333\)	$[416,5584,670128,-401364]$	$[208,872,144,-182608,-100341]$	$[-389328928768/100341,-7847051264/100341,-692224/11149]$	$y^2 + y = x^5 - x^4 - 4x^3 - 5x^2 - 3x - 1$