Elliptic curve isogeny class with LMFDB label 51600.dv (Cremona label 51600cx)

• Label: 51600.dv
• Number of curves: $4$
• Conductor: $51600$
• CM: no
• Rank: $1$

Elliptic curves in class 51600.dv

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
51600.dv1	51600cx4	[0, 1, 0, -335408, -74368812]	[2]	442368
51600.dv2	51600cx2	[0, 1, 0, -35408, 631188]	[2, 2]	221184
51600.dv3	51600cx1	[0, 1, 0, -27408, 1735188]	[2]	110592	\(\Gamma_0(N)\)-optimal
51600.dv4	51600cx3	[0, 1, 0, 136592, 5103188]	[2]	442368

Rank

The elliptic curves in class 51600.dv have rank \(1\).

Complex multiplication

The elliptic curves in class 51600.dv do not have complex multiplication.

Modular form 51600.2.a.dv

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.