Elliptic curve isogeny class with LMFDB label 6384.m (Cremona label 6384u)

• Label: 6384.m
• Number of curves: $4$
• Conductor: $6384$
• CM: no
• Rank: $1$

Elliptic curves in class 6384.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6384.m1	6384u4	\([0, -1, 0, -19472, 1052352]\)	\(199350693197713/547428\)	\(2242265088\)	\([4]\)	\(6144\)	\(1.0274\)
6384.m2	6384u3	\([0, -1, 0, -3472, -57152]\)	\(1130389181713/295568028\)	\(1210646642688\)	\([2]\)	\(6144\)	\(1.0274\)
6384.m3	6384u2	\([0, -1, 0, -1232, 16320]\)	\(50529889873/2547216\)	\(10433396736\)	\([2, 2]\)	\(3072\)	\(0.68083\)
6384.m4	6384u1	\([0, -1, 0, 48, 960]\)	\(2924207/102144\)	\(-418381824\)	\([2]\)	\(1536\)	\(0.33426\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 6384.m have rank \(1\).

Complex multiplication

The elliptic curves in class 6384.m do not have complex multiplication.

Modular form 6384.2.a.m

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.