Elliptic curve isogeny class with Cremona label 267120by (LMFDB label 267120.by)

• Label: 267120by
• Number of curves: $1$
• Conductor: $267120$
• CM: no
• Rank: $0$

Rank

The elliptic curve 267120by1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(7\)	\(1 - T\)
\(53\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 267120by do not have complex multiplication.

Modular form 267120.2.a.by

Isogeny graph

Elliptic curves in class 267120by

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
267120.by1	267120by1	\([0, 0, 0, 20652, 1588732]\)	\(5219664241664/8863392195\)	\(-1654121704999680\)	\([]\)	\(1075200\)	\(1.6051\)	\(\Gamma_0(N)\)-optimal