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
6845.a.6845.1	6845.a	\( 5 \cdot 37^{2} \)	\( 5 \cdot 37^{2} \)	$2$	$2$	$\mathsf{trivial}$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$10$	$0$	2.15.2, 3.90.1	✓	✓	$1$	\( 1 \)	\(0.022546\)	\(14.663073\)	\(0.330594\)	$[24,852,-14064,-27380]$	$[12,-136,2040,1496,-6845]$	$[-248832/6845,235008/6845,-58752/1369]$	$y^2 + x^3y = x^5 - 7x^3 - 16x^2 - 15x - 5$