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
57065.a.285325.1	57065.a	\( 5 \cdot 101 \cdot 113 \)	\( - 5^{2} \cdot 101 \cdot 113 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$18$	$0$		✓	✓	$1$	\( 2 \)	\(0.016343\)	\(17.235344\)	\(0.563352\)	$[228,28617,1483701,-36521600]$	$[57,-1057,-1299,-297823,-285325]$	$[-601692057/285325,195749001/285325,4220451/285325]$	$y^2 + (x^3 + x + 1)y = x^4 - 4x^3 + x^2$