Elliptic curve isogeny class with LMFDB label 6534.bc (Cremona label 6534ba)

• Label: 6534.bc
• Number of curves: $3$
• Conductor: $6534$
• CM: no
• Rank: $0$

Elliptic curves in class 6534.bc

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
6534.bc1	6534ba3	[1, -1, 1, -14906, 932473]	[]	24300
6534.bc2	6534ba1	[1, -1, 1, -386, -2857]	[]	2700	\(\Gamma_0(N)\)-optimal
6534.bc3	6534ba2	[1, -1, 1, 1429, -14957]	[]	8100

Rank

The elliptic curves in class 6534.bc have rank \(0\).

Complex multiplication

The elliptic curves in class 6534.bc do not have complex multiplication.

Modular form 6534.2.a.bc

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.

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.