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
600.a.18000.1	600.a	\( 2^{3} \cdot 3 \cdot 5^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 5^{3} \)	$0$	$3$	$\Z/2\Z\oplus\Z/2\Z\oplus\Z/6\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2$	$C_2$	$6$	$4$	2.360.2, 3.640.2	✓	✓	$1$	\( 2^{3} \)	\(1.000000\)	\(18.934319\)	\(0.262977\)	$[1376,23824,11410044,72000]$	$[688,15752,244900,-19908576,18000]$	$[9634345320448/1125,320612931584/1125,289804864/45]$	$y^2 + xy = 10x^5 - 18x^4 + 8x^3 + x^2 - x$