Genus 2 curves of conductor 12949

Results (unique match)

 

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
12949.a.12949.1	12949.a	\( 23 \cdot 563 \)	\( 23 \cdot 563 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$11$	$1$	2.6.1	✓	✓	$1$	\( 1 \)	\(0.020631\)	\(23.283865\)	\(0.480367\)	$[280,2368,196632,51796]$	$[140,422,-148,-49701,12949]$	$[53782400000/12949,1157968000/12949,-2900800/12949]$	$y^2 + y = x^5 + 2x^4 - x^3 - 2x^2$