Elliptic Curve Isogeny Class with LMFDB label 360.a (Cremona label 360e)

• Label: 360.a
• Number of curves: 4
• Conductor: 360
• CM: no
• Rank: 1

Elliptic curves in class 360.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
360.a1	360e3	[0, 0, 0, -963, 11502]	[2]	128
360.a2	360e2	[0, 0, 0, -63, 162]	[2, 2]	64
360.a3	360e1	[0, 0, 0, -18, -27]	[2]	32	\(\Gamma_0(N)\)-optimal
360.a4	360e4	[0, 0, 0, 117, 918]	[2]	128

Rank

The elliptic curves in class 360.a have rank \(1\).

Modular form 360.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.