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
100352.d.100352.1	100352.d	\( 2^{11} \cdot 7^{2} \)	\( 2^{11} \cdot 7^{2} \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.120.5	✓	✓	$1$	\( 1 \)	\(0.695932\)	\(11.589322\)	\(2.016345\)	$[304,1372,149940,392]$	$[608,11744,71936,-23546112,100352]$	$[40568406016/49,1288833536/49,12984448/49]$	$y^2 = x^5 - x^4 - 4x^3 + 3x^2 + 4x - 2$
100352.e.100352.1	100352.e	\( 2^{11} \cdot 7^{2} \)	\( 2^{11} \cdot 7^{2} \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.120.5	✓	✓	$1$	\( 1 \)	\(0.697440\)	\(15.415549\)	\(2.687856\)	$[304,1372,149940,392]$	$[608,11744,71936,-23546112,100352]$	$[40568406016/49,1288833536/49,12984448/49]$	$y^2 = x^5 + x^4 - 4x^3 - 3x^2 + 4x + 2$