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
63707.a.445949.1	63707.a	\( 7 \cdot 19 \cdot 479 \)	\( - 7^{2} \cdot 19 \cdot 479 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$18$	$0$		✓	✓	$1$	\( 2 \)	\(0.018083\)	\(17.460609\)	\(0.631480\)	$[388,94297,-541043,-57081472]$	$[97,-3537,115493,-326887,-445949]$	$[-8587340257/445949,3228124401/445949,-22177013/9101]$	$y^2 + (x^3 + x + 1)y = x^5 + x^3 + 6x^2 + 2x$