Genus 2 curves of conductor 8100

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
8100.a.145800.1	8100.a	\( 2^{2} \cdot 3^{4} \cdot 5^{2} \)	\( 2^{3} \cdot 3^{6} \cdot 5^{2} \)	$1$	$1$	$\Z/3\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$3$	✓	✓	$C_2$	$C_2$	$10$	$0$	3.2880.4	✓	✓	$1$	\( 3 \cdot 5 \)	\(0.021279\)	\(19.908545\)	\(0.706041\)	$[84,16425,1153845,-76800]$	$[63,-5994,-324324,-14090112,-145800]$	$[-1361367/200,1027971/100,441441/50]$	$y^2 + (x^3 + x + 1)y = x^4 + x^3 - 4x^2 - 2x + 2$