Genus 2 curves of conductor 7004

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
7004.a.28016.1	7004.a	\( 2^{2} \cdot 17 \cdot 103 \)	\( 2^{4} \cdot 17 \cdot 103 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$14$	$0$		✓	✓	$1$	\( 3 \)	\(0.005073\)	\(22.353874\)	\(0.340195\)	$[72,789,10647,3502]$	$[72,-310,1920,10535,28016]$	$[120932352/1751,-7231680/1751,622080/1751]$	$y^2 + y = x^6 - 4x^4 - 4x^3 + x$