Genus 2 curves in isogeny class 100154.a of discriminant 200308

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
100154.a.200308.1	100154.a	\( 2 \cdot 50077 \)	\( 2^{2} \cdot 50077 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$7$	$1$	2.6.1	✓	✓	$1$	\( 2 \)	\(0.051351\)	\(13.921948\)	\(1.429825\)	$[104,5080,134677,-801232]$	$[52,-734,-2409,-166006,-200308]$	$[-95051008/50077,25801568/50077,1628484/50077]$	$y^2 + (x + 1)y = x^6 + x^5 + 2x^4 + 3x^3 + x^2$