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
980.a.7840.1	980.a	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( 2^{5} \cdot 5 \cdot 7^{2} \)	$0$	$1$	$\Z/12\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.45.1, 3.720.4	✓	✓	$1$	\( 2^{2} \)	\(1.000000\)	\(14.031519\)	\(0.389764\)	$[276,3945,280149,1003520]$	$[69,34,20,56,7840]$	$[1564031349/7840,5584653/3920,4761/392]$	$y^2 + (x^2 + x + 1)y = -x^6 + 3x^5 - 3x^4 - x$