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
363.a.43923.1	363.a	\( 3 \cdot 11^{2} \)	\( - 3 \cdot 11^{4} \)	$0$	$1$	$\Z/10\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2$	$C_2$	$3$	$1$	2.60.1, 3.80.4	✓	✓	$1$	\( 5 \)	\(1.000000\)	\(3.794119\)	\(0.189706\)	$[11096,25612,88274095,-175692]$	$[5548,1278244,392069161,135322995423,-43923]$	$[-5256325630316243968/43923,-1804005053317888/363,-99735603013264/363]$	$y^2 + x^2y = 11x^5 - 13x^4 - 7x^3 + 10x^2 + x - 2$