Genus 2 curve search results

Results (displaying both matches)

 

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
5476.b.21904.1	5476.b	\( 2^{2} \cdot 37^{2} \)	\( - 2^{4} \cdot 37^{2} \)	$2$	$2$	$\mathsf{trivial}$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$12$	$0$	2.15.2, 3.90.1	✓	✓	$1$	\( 3 \)	\(0.004919\)	\(20.265680\)	\(0.299062\)	$[120,213,14793,2738]$	$[120,458,-4416,-184921,21904]$	$[1555200000/1369,49464000/1369,-3974400/1369]$	$y^2 + y = x^6 - x^2$
21904.d.21904.1	21904.d	\( 2^{4} \cdot 37^{2} \)	\( 2^{4} \cdot 37^{2} \)	$2$	$2$	$\mathsf{trivial}$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$6$	$0$	2.30.2, 3.90.1	✓	✓	$1$	\( 1 \)	\(0.059620\)	\(10.562417\)	\(0.629726\)	$[120,213,14793,2738]$	$[120,458,-4416,-184921,21904]$	$[1555200000/1369,49464000/1369,-3974400/1369]$	$y^2 + x^3y = x^4 - 1$