Genus 2 curves of conductor 484

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
484.a.1936.1	484.a	\( 2^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 11^{2} \)	$0$	$0$	$\Z/15\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.60.2, 3.720.4	✓	✓	$1$	\( 3 \)	\(1.000000\)	\(15.318968\)	\(0.204253\)	$[184,37,721,242]$	$[184,1386,15040,211591,1936]$	$[13181630464/121,49057344/11,31824640/121]$	$y^2 + y = x^6 + 2x^4 + x^2$