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
21904.e.350464.1	21904.e	\( 2^{4} \cdot 37^{2} \)	\( 2^{8} \cdot 37^{2} \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\mathrm{M}_2(\Q)\)	\(\mathsf{CM}\)	✓	$E_6$		✓		$C_6$	$D_6$	$3$	$3$	2.240.1, 3.480.12	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(20.051730\)	\(1.253233\)	$[302,5032,388574,1369]$	$[604,1782,-1772,-1061453,350464]$	$[314010903004/1369,3067669341/2738,-10100843/5476]$	$y^2 = x^5 + 3x^4 - 11x^3 + 8x^2 - x$
350464.a.350464.1	350464.a	\( 2^{8} \cdot 37^{2} \)	\( 2^{8} \cdot 37^{2} \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\mathrm{M}_2(\Q)\)	\(\mathsf{CM}\)	✓	$E_6$		✓		$C_6$	$D_6$	$3$	$3$	2.240.1, 3.480.12	✓	✓	$9$	\( 1 \)	\(1.000000\)	\(6.632969\)	\(3.731045\)	$[302,5032,388574,1369]$	$[604,1782,-1772,-1061453,350464]$	$[314010903004/1369,3067669341/2738,-10100843/5476]$	$y^2 = x^5 - 3x^4 - 11x^3 - 8x^2 - x$