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
688.a.704512.2	688.a	\( 2^{4} \cdot 43 \)	\( - 2^{14} \cdot 43 \)	$0$	$1$	$\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.30.3	✓	✓	$1$	\( 5 \)	\(1.000000\)	\(6.426825\)	\(0.321341\)	$[464,-248,-39602,-86]$	$[1856,146176,15688704,1937702912,-704512]$	$[-1344218660864/43,-57041383424/43,-3298550016/43]$	$y^2 = 2x^5 - 7x^4 - 8x^3 + 2x^2 + 4x + 1$
11008.d.704512.2	11008.d	\( 2^{8} \cdot 43 \)	\( - 2^{14} \cdot 43 \)	$0$	$1$	$\Z/4\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$2$	$2$	2.30.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(10.302669\)	\(1.287834\)	$[464,-248,-39602,-86]$	$[1856,146176,15688704,1937702912,-704512]$	$[-1344218660864/43,-57041383424/43,-3298550016/43]$	$y^2 = 2x^5 + 7x^4 - 8x^3 - 2x^2 + 4x - 1$