Elliptic Curve Isogeny Class with LMFDB label 320.f (Cremona label 320c)

• Label: 320.f
• Number of curves: 4
• Conductor: 320
• CM: no
• Rank: 0

Elliptic curves in class 320.f

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
320.f1	320c3	[0, -1, 0, -165, -763]	[2]	48
320.f2	320c4	[0, -1, 0, -145, -975]	[2]	96
320.f3	320c1	[0, -1, 0, -5, 5]	[2]	16	\(\Gamma_0(N)\)-optimal
320.f4	320c2	[0, -1, 0, 15, 17]	[2]	32

Rank

The elliptic curves in class 320.f have rank \(0\).

Modular form 320.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.