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
254208.b.762624.1	254208.b	\( 2^{8} \cdot 3 \cdot 331 \)	\( - 2^{8} \cdot 3^{2} \cdot 331 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$2$	$2$	2.30.3	✓	✓	$1$	\( 2 \)	\(2.301836\)	\(3.362898\)	\(3.870420\)	$[370,-3380,12274,2979]$	$[740,31830,-1002004,-438657965,762624]$	$[866799462500/2979,33589270625/1986,-8573396725/11916]$	$y^2 = 3x^5 + 5x^4 + 5x^3 - x^2 - 5x - 2$
254208.c.762624.1	254208.c	\( 2^{8} \cdot 3 \cdot 331 \)	\( - 2^{8} \cdot 3^{2} \cdot 331 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.30.3	✓	✓	$1$	\( 2 \)	\(0.488326\)	\(12.171262\)	\(2.971772\)	$[370,-3380,12274,2979]$	$[740,31830,-1002004,-438657965,762624]$	$[866799462500/2979,33589270625/1986,-8573396725/11916]$	$y^2 = 3x^5 - 5x^4 + 5x^3 + x^2 - 5x + 2$