Genus 2 curves of conductor 1936

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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
1936.a.1936.1	1936.a	\( 2^{4} \cdot 11^{2} \)	\( 2^{4} \cdot 11^{2} \)	$1$	$1$	$\Z/5\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$6$	$0$	2.120.2, 3.360.2	✓	✓	$1$	\( 1 \)	\(0.350128\)	\(19.381269\)	\(0.271437\)	$[184,37,721,242]$	$[184,1386,15040,211591,1936]$	$[\frac{13181630464}{121},\frac{49057344}{11},\frac{31824640}{121}]$	$y^2 + y = -x^6 + 2x^4 - x^2$
1936.b.1936.1	1936.b	\( 2^{4} \cdot 11^{2} \)	\( 2^{4} \cdot 11^{2} \)	$0$	$0$	$\Z/5\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$2$	$0$	2.120.2, 3.90.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(10.505396\)	\(0.420216\)	$[120,357,14937,242]$	$[120,362,-1344,-73081,1936]$	$[\frac{1555200000}{121},\frac{39096000}{121},-\frac{1209600}{121}]$	$y^2 + y = -x^6 - x^4$
1936.b.234256.1	1936.b	\( 2^{4} \cdot 11^{2} \)	\( 2^{4} \cdot 11^{4} \)	$0$	$0$	$\Z/5\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$2$	$0$	2.120.2, 3.90.1	✓	✓	$1$	\( 5 \)	\(1.000000\)	\(2.101079\)	\(0.420216\)	$[23544,6117,47655081,29282]$	$[23544,23092586,30194746560,44409396210311,234256]$	$[\frac{452148675314325387264}{14641},\frac{1712381980706754624}{1331},\frac{785948064456960}{11}]$	$y^2 + x^3y = -6x^4 + 47x^2 - 121$

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