Elliptic curve isogeny class with Cremona label 26450x (LMFDB label 26450.u)

• Label: 26450x
• Number of curves: $1$
• Conductor: $26450$
• CM: no
• Rank: $0$

Rank

The elliptic curve 26450x1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(5\)	\(1\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 26450x do not have complex multiplication.

Modular form 26450.2.a.x

Isogeny graph

Elliptic curves in class 26450x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
26450.u1	26450x1	\([1, -1, 1, -2647480, -1655827653]\)	\(22180666338225/24117248\)	\(2231386404945920000\)	\([]\)	\(760320\)	\(2.4362\)	\(\Gamma_0(N)\)-optimal