Elliptic curve isogeny class with LMFDB label 784.e (Cremona label 784c)

• Label: 784.e
• Number of curves: $4$
• Conductor: $784$
• CM: no
• Rank: $0$

Elliptic curves in class 784.e

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
784.e1	784c4	[0, 0, 0, -14651, 682570]	[4]	768
784.e2	784c3	[0, 0, 0, -2891, -47334]	[2]	768
784.e3	784c2	[0, 0, 0, -931, 10290]	[2, 2]	384
784.e4	784c1	[0, 0, 0, 49, 686]	[2]	192	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 784.e have rank \(0\).

Complex multiplication

The elliptic curves in class 784.e do not have complex multiplication.

Modular form 784.2.a.e

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.