Elliptic curve isogeny class with Cremona label 66654bf (LMFDB label 66654.bf)

• Label: 66654bf
• Number of curves: $2$
• Conductor: $66654$
• CM: no
• Rank: $1$

Elliptic curves in class 66654bf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
66654.bf2	66654bf1	\([1, -1, 1, -600779, 240870107]\)	\(-5999796014211/2790817792\)	\(-11154812207644901376\)	\([]\)	\(2787840\)	\(2.3611\)	\(\Gamma_0(N)\)-optimal
66654.bf1	66654bf2	\([1, -1, 1, -53162219, 149207777947]\)	\(-5702623460245179/252448\)	\(-735580559703751776\)	\([]\)	\(8363520\)	\(2.9104\)

Rank

The elliptic curves in class 66654bf have rank \(1\).

Complex multiplication

The elliptic curves in class 66654bf do not have complex multiplication.

Modular form 66654.2.a.bf

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.