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
10110.a.50550.1	10110.a	\( 2 \cdot 3 \cdot 5 \cdot 337 \)	\( 2 \cdot 3 \cdot 5^{2} \cdot 337 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$2$	$0$	2.15.1	✓	✓	$1$	\( 2 \)	\(0.303674\)	\(6.345414\)	\(0.963468\)	$[20,16177,1232025,6470400]$	$[5,-673,-16175,-133451,50550]$	$[125/2022,-3365/2022,-16175/2022]$	$y^2 + (x^3 + 1)y = 2x^5 + 3x^4 + 2x^3 - x - 1$