Elliptic curve isogeny class with Cremona label 53550cu (LMFDB label 53550.ed)

• Label: 53550cu
• Number of curves: $1$
• Conductor: $53550$
• CM: no
• Rank: $0$

Rank

The elliptic curve 53550cu1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 + T\)
\(17\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 53550cu do not have complex multiplication.

Modular form 53550.2.a.cu

Elliptic curves in class 53550cu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53550.ed1	53550cu1	\([1, -1, 1, -11855, -645353]\)	\(-599077107/243712\)	\(-74952864000000\)	\([]\)	\(147840\)	\(1.3708\)	\(\Gamma_0(N)\)-optimal