Genus 2 curves in isogeny class 362107.a of discriminant 362107

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
362107.a.362107.1	362107.a	\( 362107 \)	\( -362107 \)	$0$	$0$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.6.1	✓	✓	$9$	\( 1 \)	\(1.000000\)	\(0.720122\)	\(6.481098\)	$[20888,36129472,179160940408,-1448428]$	$[10444,-1476698,199538380,-24164535621,-362107]$	$[-124260848769120308224/362107,1682256736697436032/362107,-21765075012479680/362107]$	$y^2 + y = x^5 - 43x^4 - 75x^3 - 41x^2 - 8x - 1$