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
1088.a.1088.1	1088.a	\( 2^{6} \cdot 17 \)	\( - 2^{6} \cdot 17 \)	$0$	$1$	$\Z/6\Z$	\(\Q \times \Q\)	\(\Q\)		$N(\mathrm{SU}(2)\times\mathrm{SU}(2))$		✓		$C_2$	$C_2^2$	$2$	$0$	2.90.1, 3.2880.5	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(15.720126\)	\(0.436670\)	$[196,28,632,136]$	$[196,1582,17884,250635,1088]$	$[4519603984/17,186120718/17,631463]$	$y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^3 + 2x^2 + x + 1$