Genus 2 curves of conductor 100240

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
100240.a.400960.1	100240.a	\( 2^{4} \cdot 5 \cdot 7 \cdot 179 \)	\( 2^{6} \cdot 5 \cdot 7 \cdot 179 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$4$	$0$	2.20.2	✓	✓	$1$	\( 5 \)	\(0.061812\)	\(6.806169\)	\(2.103531\)	$[3092,3169,3251369,50120]$	$[3092,396240,67352576,12812006848,400960]$	$[4415881923441488/6265,36603852142416/1253,10061279346176/6265]$	$y^2 + x^3y = x^5 - x^4 - 5x^3 + 6x^2 + 10x - 15$