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
27225.a.81675.1	27225.a	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 3^{3} \cdot 5^{2} \cdot 11^{2} \)	$2$	$3$	$\Z/2\Z$	\(\mathsf{RM}\)	\(\mathsf{RM}\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$		✓	✓	$C_2$	$C_2$	$8$	$0$	2.90.5, 3.72.2	✓	✓	$1$	\( 2 \)	\(0.143873\)	\(9.543118\)	\(0.686496\)	$[2060,56521,34621947,10454400]$	$[515,8696,172224,3268736,81675]$	$[1449092592875/3267,47511769960/3267,203013824/363]$	$y^2 + (x^3 + 1)y = 2x^4 + 2x^3 + 5x^2 + 3x + 2$