Elliptic curve isogeny class with LMFDB label 3120.c (Cremona label 3120a)

• Label: 3120.c
• Number of curves: $4$
• Conductor: $3120$
• CM: no
• Rank: $1$

Elliptic curves in class 3120.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3120.c1	3120a3	\([0, -1, 0, -9896, 183696]\)	\(52337949619538/23423590125\)	\(47971512576000\)	\([2]\)	\(6144\)	\(1.3206\)
3120.c2	3120a2	\([0, -1, 0, -4896, -128304]\)	\(12677589459076/213890625\)	\(219024000000\)	\([2, 2]\)	\(3072\)	\(0.97399\)
3120.c3	3120a1	\([0, -1, 0, -4876, -129440]\)	\(50091484483024/14625\)	\(3744000\)	\([2]\)	\(1536\)	\(0.62742\)	\(\Gamma_0(N)\)-optimal
3120.c4	3120a4	\([0, -1, 0, -216, -367920]\)	\(-546718898/28564453125\)	\(-58500000000000\)	\([2]\)	\(6144\)	\(1.3206\)

Rank

The elliptic curves in class 3120.c have rank \(1\).

Complex multiplication

The elliptic curves in class 3120.c do not have complex multiplication.

Modular form 3120.2.a.c

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.