Genus 2 curves in isogeny class 38267.a of discriminant 38267

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
38267.a.38267.1	38267.a	\( 17 \cdot 2251 \)	\( 17 \cdot 2251 \)	$0$	$3$	$\Z/4\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$0$	$0$	2.15.1	✓	✓	$16$	\( 1 \)	\(1.000000\)	\(2.048021\)	\(2.048021\)	$[10064,90454132,590204970799,153068]$	$[5032,-14020646,-44210924447,-104761971518655,38267]$	$[189781659896938496/2251,-105085065703005184/2251,-65850934057921984/2251]$	$y^2 + xy = 18x^6 - 35x^5 + 55x^4 - 54x^3 + 34x^2 - 17x + 2$