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
816.a.13872.1	816.a	\( 2^{4} \cdot 3 \cdot 17 \)	\( - 2^{4} \cdot 3 \cdot 17^{2} \)	$0$	$2$	$\Z/2\Z\oplus\Z/6\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.180.3, 3.80.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(22.166697\)	\(0.307871\)	$[688,9592,2944404,55488]$	$[344,3332,-80164,-9669660,13872]$	$[301073291264/867,498667904/51,-592892944/867]$	$y^2 + (x^3 + x^2)y = -2x^4 + 6x^2 - 8x + 3$