Elliptic curve isogeny class with Cremona label 141120cb (LMFDB label 141120.ov)

• Label: 141120cb
• Number of curves: $4$
• Conductor: $141120$
• CM: no
• Rank: $1$

Elliptic curves in class 141120cb

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
141120.ov3	141120cb1	[0, 0, 0, -99372, 7611856]	[2]	1179648	\(\Gamma_0(N)\)-optimal
141120.ov2	141120cb2	[0, 0, 0, -663852, -202600496]	[2, 2]	2359296
141120.ov4	141120cb3	[0, 0, 0, 182868, -683876144]	[2]	4718592
141120.ov1	141120cb4	[0, 0, 0, -10542252, -13174915376]	[2]	4718592

Rank

The elliptic curves in class 141120cb have rank \(1\).

Complex multiplication

The elliptic curves in class 141120cb do not have complex multiplication.

Modular form 141120.2.a.cb

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 Cremona 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 Cremona labels.