Genus 2 curves in isogeny class 26384.d of discriminant 422144

Results (unique match)

  Download displayed columns for results to

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
26384.d.422144.1	26384.d	\( 2^{4} \cdot 17 \cdot 97 \)	\( 2^{8} \cdot 17 \cdot 97 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$9$	$1$	2.6.1	✓	✓	$1$	\( 5 \)	\(0.017174\)	\(11.654543\)	\(1.000796\)	$[24,180,1224,-1649]$	$[48,-384,-2048,-61440,-422144]$	$[-995328/1649,165888/1649,18432/1649]$	$y^2 = x^5 - x^4 + x^2 - x + 1$

  Download displayed columns for results to