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
5705.a.5705.1	5705.a	\( 5 \cdot 7 \cdot 163 \)	\( - 5 \cdot 7 \cdot 163 \)	$2$	$3$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$12$	$0$	2.15.1	✓	✓	$1$	\( 1 \)	\(0.044428\)	\(27.322834\)	\(0.303472\)	$[116,15673,-175603,-730240]$	$[29,-618,7756,-39250,-5705]$	$[-20511149/5705,15072402/5705,-931828/815]$	$y^2 + (x^3 + 1)y = x^5 + x^4 + x^3 + 4x^2 + 2x$