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
25088.e.100352.1	25088.e	\( 2^{9} \cdot 7^{2} \)	\( 2^{11} \cdot 7^{2} \)	$0$	$1$	$\Z/6\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.120.5, 3.80.1	✓	✓	$1$	\( 3 \)	\(1.000000\)	\(19.335676\)	\(1.611306\)	$[342,2436,250236,392]$	$[684,12998,195556,-8796925,100352]$	$[146211169851/98,32496371289/784,1429563249/1568]$	$y^2 = x^5 - x^4 - 5x^3 + 2x^2 + 4x + 1$
100352.b.100352.1	100352.b	\( 2^{11} \cdot 7^{2} \)	\( 2^{11} \cdot 7^{2} \)	$0$	$1$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.120.5, 3.40.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(8.137847\)	\(2.034462\)	$[342,2436,250236,392]$	$[684,12998,195556,-8796925,100352]$	$[146211169851/98,32496371289/784,1429563249/1568]$	$y^2 = x^5 + x^4 - 5x^3 - 2x^2 + 4x - 1$