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
1284.a.5136.1	1284.a	\( 2^{2} \cdot 3 \cdot 107 \)	\( 2^{4} \cdot 3 \cdot 107 \)	$0$	$1$	$\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(23.787277\)	\(0.475746\)	$[460,3457,746415,-657408]$	$[115,407,-2245,-105956,-5136]$	$[-20113571875/5136,-618996125/5136,29690125/5136]$	$y^2 + (x^3 + 1)y = -x^4 + x^2 - 2x + 1$