Genus 2 curve search results

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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
529.a.529.1	529.a	\( 23^{2} \)	\( 23^{2} \)	$0$	$0$	$\Z/11\Z$	\(\mathsf{RM}\)	\(\mathsf{RM}\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$		✓	✓	$C_2$	$C_2$	$4$	$0$	2.120.2, 3.432.4	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(30.060256\)	\(0.248432\)	$[284,2401,246639,-67712]$	$[71,110,-624,-14101,-529]$	$[-\frac{1804229351}{529},-\frac{39370210}{529},\frac{3145584}{529}]$	$y^2 + (x^3 + x + 1)y = -x^5$
4489.c.4489.1	4489.c	\( 67^{2} \)	\( 67^{2} \)	$0$	$2$	$\Z/11\Z$	\(\mathsf{RM}\)	\(\mathsf{RM}\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$		✓	✓	$C_2$	$C_2$	$0$	$0$	2.12.2, 3.72.2	✓	✓	$4$	\( 1 \)	\(1.000000\)	\(20.347362\)	\(0.672640\)	$[45572,66049,996454497,574592]$	$[11393,5405600,3418056180,2430350674685,4489]$	$[\frac{191951047694934040193}{4489},\frac{7993890555954359200}{4489},\frac{443665226871224820}{4489}]$	$y^2 + (x^3 + x^2 + 1)y = -x^6 + 7x^4 - 2x^3 - 21x^2 + x + 18$

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