Elliptic curve isogeny class with Cremona label 26928a (LMFDB label 26928.n)

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

Elliptic curves in class 26928a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
26928.n2	26928a1	\([0, 0, 0, 54, 1215]\)	\(55296/2057\)	\(-647806896\)	\([2]\)	\(7680\)	\(0.37065\)	\(\Gamma_0(N)\)-optimal
26928.n1	26928a2	\([0, 0, 0, -1431, 19926]\)	\(64314864/3179\)	\(16018497792\)	\([2]\)	\(15360\)	\(0.71723\)

Rank

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

Complex multiplication

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

Modular form 26928.2.a.a

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.