Elliptic curves over $\Q$ of conductor 180

Results (4 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
180.a1	180a3	180.a	180a	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 5 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{3} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$9$	$1$	$1$		$5$	$36$	$0.168662$	$488095744/125$	$1.07376$	$5.65579$	$[0, 0, 0, -372, 2761]$	\(y^2=x^3-372x+2761\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 10.6.0.a.1, $\ldots$	$[]$
180.a2	180a4	180.a	180a	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 5 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.8.0.1	2B, 3B.1.1	$120$	$384$	$9$	$1$	$1$		$5$	$72$	$0.515236$	$-20720464/15625$	$0.95894$	$5.74195$	$[0, 0, 0, -327, 3454]$	\(y^2=x^3-327x+3454\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 12.48.0-12.d.1.11, $\ldots$	$[]$
180.a3	180a1	180.a	180a	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 5 \)	\( 2^{4} \cdot 3^{6} \cdot 5 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$9$	$1$	$1$		$1$	$12$	$-0.380644$	$16384/5$	$0.95621$	$3.67196$	$[0, 0, 0, -12, -11]$	\(y^2=x^3-12x-11\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.b.1, 6.24.0-6.a.1.2, 10.6.0.a.1, $\ldots$	$[]$
180.a4	180a2	180.a	180a	$4$	$6$	\( 2^{2} \cdot 3^{2} \cdot 5 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.8.0.2	2B, 3B.1.2	$120$	$384$	$9$	$1$	$1$		$1$	$24$	$-0.034070$	$21296/25$	$0.83964$	$4.26179$	$[0, 0, 0, 33, -74]$	\(y^2=x^3+33x-74\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.a.1, 6.24.0-6.a.1.2, 12.48.0-12.d.1.5, $\ldots$	$[]$