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
22630.a.226300.1	22630.a	\( 2 \cdot 5 \cdot 31 \cdot 73 \)	\( 2^{2} \cdot 5^{2} \cdot 31 \cdot 73 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$13$	$1$	2.6.1	✓	✓	$1$	\( 2^{2} \)	\(0.008877\)	\(16.673921\)	\(0.592077\)	$[596,65785,-10780563,28966400]$	$[149,-1816,270836,9264177,226300]$	$[73439775749/226300,-1501808846/56575,1503207509/56575]$	$y^2 + (x^3 + 1)y = x^4 + 3x^3 - x^2 - 4x$