Elliptic curve isogeny class with LMFDB label 177450.do (Cremona label 177450hr)

• Label: 177450.do
• Number of curves: $4$
• Conductor: $177450$
• CM: no
• Rank: $0$

Elliptic curves in class 177450.do

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
177450.do1	177450hr3	[1, 0, 1, -1578126, 762930898]	[2]	3538944
177450.do2	177450hr2	[1, 0, 1, -99376, 11725898]	[2, 2]	1769472
177450.do3	177450hr1	[1, 0, 1, -14876, -442102]	[2]	884736	\(\Gamma_0(N)\)-optimal
177450.do4	177450hr4	[1, 0, 1, 27374, 39610898]	[2]	3538944

Rank

The elliptic curves in class 177450.do have rank \(0\).

Complex multiplication

The elliptic curves in class 177450.do do not have complex multiplication.

Modular form 177450.2.a.do

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.