Genus 2 curves of conductor 294

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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
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	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(21.451533\)	\(0.148969\)	$[236,505,18451,37632]$	$[59,124,564,4475,294]$	$[\frac{714924299}{294},\frac{12733498}{147},\frac{327214}{49}]$	$y^2 + (x^3 + 1)y = x^4 + x^2$
294.a.8232.1	294.a	\( 2 \cdot 3 \cdot 7^{2} \)	\( 2^{3} \cdot 3 \cdot 7^{3} \)	$0$	$1$	$\Z/12\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.45.1, 3.2160.20	✓	✓	$1$	\( 3 \)	\(1.000000\)	\(7.150511\)	\(0.148969\)	$[7636,11785,29745701,1053696]$	$[1909,151354,15951264,1885732415,8232]$	$[\frac{25353016669288549}{8232},\frac{75211396489919}{588},\frac{49431027484}{7}]$	$y^2 + (x^3 + 1)y = -2x^4 + 4x^2 - 9x - 14$

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