Elliptic curve isogeny class with Cremona label 141120ij (LMFDB label 141120.ix)

• Label: 141120ij
• Number of curves: $4$
• Conductor: $141120$
• CM: no
• Rank: $0$

Elliptic curves in class 141120ij

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
141120.ix3	141120ij1	[0, 0, 0, -99372, -7611856]	[2]	1179648	\(\Gamma_0(N)\)-optimal
141120.ix2	141120ij2	[0, 0, 0, -663852, 202600496]	[2, 2]	2359296
141120.ix1	141120ij3	[0, 0, 0, -10542252, 13174915376]	[2]	4718592
141120.ix4	141120ij4	[0, 0, 0, 182868, 683876144]	[2]	4718592

Rank

The elliptic curves in class 141120ij have rank \(0\).

Complex multiplication

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

Modular form 141120.2.a.ij

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.