Genus 2 curves of conductor 1148

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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
1148.a.8036.1	1148.a	\( 2^{2} \cdot 7 \cdot 41 \)	\( 2^{2} \cdot 7^{2} \cdot 41 \)	$0$	$1$	$\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.90.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(22.531311\)	\(0.450626\)	$[3540,152577,168647985,1028608]$	$[885,26277,825045,9921024,8036]$	$[\frac{542895639553125}{8036},\frac{18214010942625}{8036},\frac{646195870125}{8036}]$	$y^2 + (x^3 + 1)y = x^5 - x^4 - 6x^3 + x^2 + 5x - 1$
1148.a.47068.1	1148.a	\( 2^{2} \cdot 7 \cdot 41 \)	\( - 2^{2} \cdot 7 \cdot 41^{2} \)	$0$	$1$	$\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$4$	$2$	2.90.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(22.531311\)	\(0.450626\)	$[1236,129537,36025137,-6024704]$	$[309,-1419,31221,1908432,-47068]$	$[-\frac{2817036000549}{47068},\frac{41865649551}{47068},-\frac{2981012301}{47068}]$	$y^2 + (x^2 + x + 1)y = x^5 + 2x^4 - 5x^3 + x$

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