Genus 2 curves in isogeny class 847.d of discriminant 456533

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
847.d.456533.1	847.d	\( 7 \cdot 11^{2} \)	\( 7^{3} \cdot 11^{3} \)	$0$	$1$	$\Z/15\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.15.2, 3.2160.20			$2$	\( 3 \)	\(1.000000\)	\(9.829455\)	\(0.262119\)	$[90952,10132,303847072,1826132]$	$[45476,86167752,217689875480,618695823148744,456533]$	$[194496275421254111077376/456533,736713878289412204032/41503,10847340081772160/11]$	$y^2 + y = -x^6 - 9x^5 - 22x^4 + 3x^3 + 37x^2 - 24x + 4$