Elliptic curve isogeny class with LMFDB label 177870.ie (Cremona label 177870j)

• Label: 177870.ie
• Number of curves: $4$
• Conductor: $177870$
• CM: no
• Rank: $0$

Elliptic curves in class 177870.ie

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
177870.ie1	177870j3	[1, 0, 0, -2214605, 1268320395]	[2]	3932160
177870.ie2	177870j2	[1, 0, 0, -139455, 19495125]	[2, 2]	1966080
177870.ie3	177870j1	[1, 0, 0, -20875, -734623]	[2]	983040	\(\Gamma_0(N)\)-optimal
177870.ie4	177870j4	[1, 0, 0, 38415, 65848047]	[2]	3932160

Rank

The elliptic curves in class 177870.ie have rank \(0\).

Complex multiplication

The elliptic curves in class 177870.ie do not have complex multiplication.

Modular form 177870.2.a.ie

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.