Elliptic curve isogeny class with LMFDB label 3969.f (Cremona label 3969c)

• Label: 3969.f
• Number of curves: $2$
• Conductor: $3969$
• CM: no
• Rank: $0$

Elliptic curves in class 3969.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3969.f1	3969c2	\([1, -1, 0, -3474, 79687]\)	\(1168429123449\)	\(3969\)	\([]\)	\(1260\)	\(0.42486\)
3969.f2	3969c1	\([1, -1, 0, -9, -8]\)	\(21609\)	\(3969\)	\([]\)	\(180\)	\(-0.54809\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 3969.f have rank \(0\).

Complex multiplication

The elliptic curves in class 3969.f do not have complex multiplication.

Modular form 3969.2.a.f

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.