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
847.b.9317.1	847.b	\( 7 \cdot 11^{2} \)	\( 7 \cdot 11^{3} \)	$0$	$1$	$\Z/10\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2$	$C_2$	$3$	$1$	2.60.1, 3.80.4	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(16.827271\)	\(0.336545\)	$[304,5932,452465,-37268]$	$[152,-26,-401,-15407,-9317]$	$[-81136812032/9317,91307008/9317,9264704/9317]$	$y^2 + (x^2 + 1)y = x^5 + 2x^4 - 3x^3 + 2x^2 - x$