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
976.a.999424.1	976.a	\( 2^{4} \cdot 61 \)	\( 2^{14} \cdot 61 \)	$0$	$0$	$\Z/29\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,29$	✓	✓	$C_2$	$C_2$	$7$	$1$	2.6.1	✓	✓	$1$	\( 29 \)	\(1.000000\)	\(12.900365\)	\(0.444840\)	$[152,1012,68714,-124928]$	$[152,288,-24464,-950368,-999424]$	$[-4952198/61,-61731/61,551969/976]$	$y^2 + (x + 1)y = x^6 - 2x^5 + 2x^3 - x^2$