Genus 2 curves of conductor 2154

Results (displaying both matches)

 

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
2154.a.17232.1	2154.a	\( 2 \cdot 3 \cdot 359 \)	\( - 2^{4} \cdot 3 \cdot 359 \)	$0$	$1$	$\Z/8\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$2$	$0$	2.15.1	✓	✓	$1$	\( 2^{2} \)	\(1.000000\)	\(10.287792\)	\(0.642987\)	$[3180,8385,8462607,2205696]$	$[795,25985,1122719,54335345,17232]$	$[105855734165625/5744,4352139950625/5744,236528825325/5744]$	$y^2 + (x^2 + x + 1)y = x^6 + x^5 + 3x^4 + 2x^3 + 3x^2 + x + 1$
2154.a.465264.1	2154.a	\( 2 \cdot 3 \cdot 359 \)	\( 2^{4} \cdot 3^{4} \cdot 359 \)	$0$	$2$	$\Z/2\Z\oplus\Z/8\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$5$	$3$	2.120.3	✓	✓	$1$	\( 2^{4} \)	\(1.000000\)	\(10.287792\)	\(0.642987\)	$[9252,1337505,4613040945,59553792]$	$[2313,167186,380736,-6767629057,465264]$	$[817321917038553/5744,12770614373841/2872,1571702004/359]$	$y^2 + (x^2 + x)y = x^5 - 9x^3 - x^2 + 18x - 1$