Elliptic curve isogeny class with Cremona label 13200k (LMFDB label 13200.g)

• Label: 13200k
• Number of curves: $1$
• Conductor: $13200$
• CM: no
• Rank: $0$

Rank

The elliptic curve 13200k1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(11\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 13200k do not have complex multiplication.

Modular form 13200.2.a.k

Elliptic curves in class 13200k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
13200.g1	13200k1	\([0, -1, 0, -833, 47037]\)	\(-25600/363\)	\(-907500000000\)	\([]\)	\(21120\)	\(0.97601\)	\(\Gamma_0(N)\)-optimal