Elliptic curve isogeny class with LMFDB label 87120.f (Cremona label 87120ew)

• Label: 87120.f
• Number of curves: $4$
• Conductor: $87120$
• CM: no
• Rank: $0$

Elliptic curves in class 87120.f

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
87120.f1	87120ew4	[0, 0, 0, -7732263, 8275761362]	[2]	2488320
87120.f2	87120ew3	[0, 0, 0, -484968, 128352323]	[2]	1244160
87120.f3	87120ew2	[0, 0, 0, -109263, 7855562]	[2]	829440
87120.f4	87120ew1	[0, 0, 0, -49368, -4135417]	[2]	414720	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 87120.f have rank \(0\).

Complex multiplication

The elliptic curves in class 87120.f do not have complex multiplication.

Modular form 87120.2.a.f

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.