Elliptic Curve Isogeny Class with LMFDB label 14.a (Cremona label 14a)

• Label: 14.a
• Number of curves: 6
• Conductor: 14
• CM: no
• Rank: 0

Elliptic curves in class 14.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
14.a1	14a5	[1, 0, 1, -2731, -55146]	[2]	6
14.a2	14a3	[1, 0, 1, -171, -874]	[2]	3
14.a3	14a2	[1, 0, 1, -36, -70]	[6]	2
14.a4	14a6	[1, 0, 1, -11, 12]	[6]	6
14.a5	14a4	[1, 0, 1, -1, 0]	[6]	3
14.a6	14a1	[1, 0, 1, 4, -6]	[6]	1	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 14.a have rank \(0\).

Modular form 14.2.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 LMFDB numbering.

\(\left(\begin{array}{rrrrrr} 1 & 2 & 3 & 9 & 18 & 6 \\ 2 & 1 & 6 & 18 & 9 & 3 \\ 3 & 6 & 1 & 3 & 6 & 2 \\ 9 & 18 & 3 & 1 & 2 & 6 \\ 18 & 9 & 6 & 2 & 1 & 3 \\ 6 & 3 & 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.