Genus 2 curve search results

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
100121.a.100121.1	100121.a	\( 7 \cdot 14303 \)	\( 7 \cdot 14303 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$6$	$0$		✓	✓	$1$	\( 1 \)	\(0.102837\)	\(12.424832\)	\(1.277731\)	$[164,-11999,-624847,12815488]$	$[41,570,3144,-48999,100121]$	$[115856201/100121,39284970/100121,5285064/100121]$	$y^2 + (x^3 + x + 1)y = x^5 - 2x^2$