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
862.b.862.1	862.b	\( 2 \cdot 431 \)	\( 2 \cdot 431 \)	$0$	$0$	$\Z/9\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.6.1, 3.80.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(27.488991\)	\(0.339370\)	$[552,696,112755,3448]$	$[276,3058,45033,769436,862]$	$[800784050688/431,32146576704/431,1715216904/431]$	$y^2 + (x^3 + x)y = -2x^4 + 3x^2 - x - 1$