Elliptic curve isogeny class with Cremona label 26928ca (LMFDB label 26928.e)

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

Elliptic curves in class 26928ca

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
26928.e1	26928ca1	[0, 0, 0, -28227, -1824190]	[2]	73728	\(\Gamma_0(N)\)-optimal
26928.e2	26928ca2	[0, 0, 0, -22467, -2590270]	[2]	147456

Rank

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

Complex multiplication

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

Modular form 26928.2.a.ca

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.