Elliptic curve isogeny class with LMFDB label 7744.bf (Cremona label 7744bb)

• Label: 7744.bf
• Number of curves: $2$
• Conductor: $7744$
• CM: no
• Rank: $1$

Elliptic curves in class 7744.bf

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
7744.bf1	7744bb2	[0, -1, 0, -232481, -43068991]	[]	33792
7744.bf2	7744bb1	[0, -1, 0, -161, 3137]	[]	3072	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 7744.bf have rank \(1\).

Complex multiplication

The elliptic curves in class 7744.bf do not have complex multiplication.

Modular form 7744.2.a.bf

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.

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.