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
2156.a.17248.1	2156.a	\( 2^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{5} \cdot 7^{2} \cdot 11 \)	$0$	$1$	$\Z/6\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$2$	$2$	2.90.3, 3.720.4	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(7.251618\)	\(0.402868\)	$[452,24145,4532153,2207744]$	$[113,-474,-28028,-847960,17248]$	$[18424351793/17248,-341966589/8624,-165997/8]$	$y^2 + (x^2 + x)y = 2x^5 + 5x^4 + 7x^3 + 5x^2 + 2x$