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
529.a.529.1	529.a	\( 23^{2} \)	\( 23^{2} \)	$0$	$0$	$\Z/11\Z$	\(\mathsf{RM}\)	\(\mathsf{RM}\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$		✓	✓	$C_2$	$C_2$	$4$	$0$	2.120.2, 3.432.4	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(30.060256\)	\(0.248432\)	$[284,2401,246639,-67712]$	$[71,110,-624,-14101,-529]$	$[-1804229351/529,-39370210/529,3145584/529]$	$y^2 + (x^3 + x + 1)y = -x^5$