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
25600.a.102400.1	25600.a	\( 2^{10} \cdot 5^{2} \)	\( 2^{12} \cdot 5^{2} \)	$1$	$3$	$\Z/2\Z\oplus\Z/2\Z$	\(\mathrm{M}_2(\Q)\)	\(\Q \times \Q\)	✓	$J(E_1)$				$C_2^2$	$D_4$	$4$	$2$	2.360.1, 3.1080.10	✓	✓	$1$	\( 2 \)	\(0.717386\)	\(16.418098\)	\(1.472264\)	$[94,244,7096,400]$	$[188,822,-1100,-220621,102400]$	$[\frac{229345007}{100},\frac{42671253}{800},-\frac{24299}{64}]$	$y^2 = x^5 - 3x^3 + x$
102400.e.102400.1	102400.e	\( 2^{12} \cdot 5^{2} \)	\( 2^{12} \cdot 5^{2} \)	$0$	$1$	$\Z/2\Z$	\(\mathrm{M}_2(\Q)\)	\(\Q \times \Q\)	✓	$J(E_1)$				$C_2^2$	$D_4$	$2$	$2$	2.180.5, 3.1080.10	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(8.209049\)	\(2.052262\)	$[94,244,7096,400]$	$[188,822,-1100,-220621,102400]$	$[\frac{229345007}{100},\frac{42671253}{800},-\frac{24299}{64}]$	$y^2 = x^5 + 3x^3 + x$

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