Genus 2 curve search results

Results (displaying both matches)

 

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
100224.a.601344.1	100224.a	\( 2^{7} \cdot 3^{3} \cdot 29 \)	\( 2^{8} \cdot 3^{4} \cdot 29 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 2^{2} \)	\(0.501426\)	\(5.342535\)	\(2.678888\)	$[72,648,17784,2349]$	$[144,-864,-50432,-2002176,601344]$	$[2985984/29,-124416/29,-50432/29]$	$y^2 = x^5 + 2x^4 + 4x^3 + 2x^2 + x - 1$
200448.c.601344.1	200448.c	\( 2^{8} \cdot 3^{3} \cdot 29 \)	\( 2^{8} \cdot 3^{4} \cdot 29 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 2 \)	\(0.676260\)	\(8.267395\)	\(2.795454\)	$[72,648,17784,2349]$	$[144,-864,-50432,-2002176,601344]$	$[2985984/29,-124416/29,-50432/29]$	$y^2 = x^5 - 2x^4 + 4x^3 - 2x^2 + x + 1$