Elliptic curve isogeny class with LMFDB label 26928.r (Cremona label 26928bd)

• Label: 26928.r
• Number of curves: $2$
• Conductor: $26928$
• CM: no
• Rank: $1$

Elliptic curves in class 26928.r

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
26928.r1	26928bd2	[0, 0, 0, -26211, 1633250]	[2]	36864
26928.r2	26928bd1	[0, 0, 0, -1731, 22466]	[2]	18432	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 26928.r have rank \(1\).

Complex multiplication

The elliptic curves in class 26928.r do not have complex multiplication.

Modular form 26928.2.a.r

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.