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
294.a.294.1	294.a	\( 2 \cdot 3 \cdot 7^{2} \)	\( - 2 \cdot 3 \cdot 7^{2} \)	$0$	$1$	$\Z/12\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.45.1, 3.720.4	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(21.451533\)	\(0.148969\)	$[236,505,18451,37632]$	$[59,124,564,4475,294]$	$[714924299/294,12733498/147,327214/49]$	$y^2 + (x^3 + 1)y = x^4 + x^2$
2646.b.71442.1	2646.b	\( 2 \cdot 3^{3} \cdot 7^{2} \)	\( 2 \cdot 3^{6} \cdot 7^{2} \)	$0$	$1$	$\Z/4\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$2$	$2$	2.90.3, 3.720.5	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(5.523621\)	\(0.690453\)	$[236,505,18451,37632]$	$[177,1116,15228,362475,71442]$	$[714924299/294,12733498/147,327214/49]$	$y^2 + (x^2 + x)y = x^5 - x^4 - 3x^2 + 3x - 1$