Elliptic curve isogeny class with LMFDB label 60984.p (Cremona label 60984ch)

• Label: 60984.p
• Number of curves: $4$
• Conductor: $60984$
• CM: no
• Rank: $1$

Elliptic curves in class 60984.p

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
60984.p1	60984ch4	[0, 0, 0, -325611, 71514630]	[2]	327680
60984.p2	60984ch3	[0, 0, 0, -64251, -4959306]	[2]	327680
60984.p3	60984ch2	[0, 0, 0, -20691, 1078110]	[2, 2]	163840
60984.p4	60984ch1	[0, 0, 0, 1089, 71874]	[2]	81920	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 60984.p have rank \(1\).

Complex multiplication

The elliptic curves in class 60984.p do not have complex multiplication.

Modular form 60984.2.a.p

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.