Elliptic Curve Isogeny Class with LMFDB label 36.a (Cremona label 36a)

• Label: 36.a
• Number of curves: 4
• Conductor: 36
• CM: -3
• Rank: 0

Elliptic curves in class 36.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
36.a1	36a4	[0, 0, 0, -135, -594]	[2]	6
36.a2	36a2	[0, 0, 0, -15, 22]	[6]	2
36.a3	36a3	[0, 0, 0, 0, -27]	[2]	3
36.a4	36a1	[0, 0, 0, 0, 1]	[6]	1	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 36.a have rank \(0\).

Modular form 36.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.