Elliptic curve isogeny class with Cremona label 54150cs (LMFDB label 54150.cu)

• Label: 54150cs
• Number of curves: $1$
• Conductor: $54150$
• CM: no
• Rank: $0$

Rank

The elliptic curve 54150cs1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 54150cs do not have complex multiplication.

Modular form 54150.2.a.cs

Elliptic curves in class 54150cs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
54150.cu1	54150cs1	\([1, 0, 0, -4630013, -3995539983]\)	\(-23891790625/1181952\)	\(-543027081442500000000\)	\([]\)	\(3456000\)	\(2.7400\)	\(\Gamma_0(N)\)-optimal