Genus 2 curves in isogeny class 100277.c 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.c.100277.1	100277.c	\( 149 \cdot 673 \)	\( 149 \cdot 673 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$5$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(0.169546\)	\(14.812084\)	\(2.511336\)	$[704,5824,1359616,401108]$	$[352,4192,44800,-450816,100277]$	$[5403974828032/100277,182830759936/100277,5550899200/100277]$	$y^2 + y = x^5 - 4x^4 + 4x^2 - 2x$