Elliptic curve isogeny class with Cremona label 176400dx (LMFDB label 176400.cj)

• Label: 176400dx
• Number of curves: $4$
• Conductor: $176400$
• CM: no
• Rank: $0$

Elliptic curves in class 176400dx

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
176400.cj3	176400dx1	[0, 0, 0, -621075, 118935250]	[2]	3538944	\(\Gamma_0(N)\)-optimal
176400.cj2	176400dx2	[0, 0, 0, -4149075, -3165632750]	[2, 2]	7077888
176400.cj4	176400dx3	[0, 0, 0, 1142925, -10685564750]	[2]	14155776
176400.cj1	176400dx4	[0, 0, 0, -65889075, -205858052750]	[2]	14155776

Rank

The elliptic curves in class 176400dx have rank \(0\).

Complex multiplication

The elliptic curves in class 176400dx do not have complex multiplication.

Modular form 176400.2.a.dx

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.