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.a.847.1	847.a	\( 7 \cdot 11^{2} \)	\( - 7 \cdot 11^{2} \)	$1$	$1$	$\Z/5\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$6$	$0$	2.15.2, 3.90.1	✓	✓	$1$	\( 1 \)	\(0.196056\)	\(20.305961\)	\(0.159244\)	$[120,276,6864,3388]$	$[60,104,504,4856,847]$	$[777600000/847,22464000/847,259200/121]$	$y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^3 + x^2$