Elliptic curve isogeny class with LMFDB label 52920.j (Cremona label 52920g)

• Label: 52920.j
• Number of curves: $1$
• Conductor: $52920$
• CM: no
• Rank: $0$

Rank

The elliptic curve 52920.j1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 5 T + 23 T^{2}\)	1.23.f
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 52920.j do not have complex multiplication.

Modular form 52920.2.a.j

Isogeny graph

Elliptic curves in class 52920.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
52920.j1	52920g1	\([0, 0, 0, -80703, -9196173]\)	\(-1568892672/78125\)	\(-2894606583750000\)	\([]\)	\(290304\)	\(1.7279\)	\(\Gamma_0(N)\)-optimal