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
1038.a.1038.1	1038.a	\( 2 \cdot 3 \cdot 173 \)	\( 2 \cdot 3 \cdot 173 \)	$0$	$1$	$\Z/6\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.60.1, 3.80.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(15.397347\)	\(0.427704\)	$[109988,334849,12332566337,132864]$	$[27497,31489590,48060441688,82480921681709,1038]$	$[15719059879327073637257/1038,109111794064913809345/173,18168889743107727596/519]$	$y^2 + (x^2 + x)y = x^5 - 12x^4 + 26x^3 + 46x^2 + 21x + 3$