Elliptic curve isogeny class with Cremona label 13104p (LMFDB label 13104.cd)

• Label: 13104p
• Number of curves: $1$
• Conductor: $13104$
• CM: no
• Rank: $0$

Rank

The elliptic curve 13104p1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1 - T\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 - 10 T + 29 T^{2}\)	1.29.ak
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 13104p do not have complex multiplication.

Modular form 13104.2.a.p

Isogeny graph

Elliptic curves in class 13104p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
13104.cd1	13104p1	\([0, 0, 0, 204, 1388]\)	\(5030912/7371\)	\(-1375605504\)	\([]\)	\(6144\)	\(0.43899\)	\(\Gamma_0(N)\)-optimal