Genus 2 curves of conductor 10043

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
10043.a.10043.1	10043.a	\( 11^{2} \cdot 83 \)	\( - 11^{2} \cdot 83 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(0.086103\)	\(9.620048\)	\(0.828315\)	$[376,352,24200,-40172]$	$[188,1414,15756,240683,-10043]$	$[-234849287168/10043,-9395566208/10043,-556880064/10043]$	$y^2 + y = x^5 - 2x^4 - 3x^3 + x$