Elliptic curve isogeny class with Cremona label 457776fw (LMFDB label 457776.fw)

• Label: 457776fw
• Number of curves: $2$
• Conductor: $457776$
• CM: no
• Rank: $1$

Elliptic curves in class 457776fw

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
457776.fw1	457776fw1	[0, 0, 0, -8157603, -8962245470]	[2]	21233664	\(\Gamma_0(N)\)-optimal
457776.fw2	457776fw2	[0, 0, 0, -6492963, -12725996510]	[2]	42467328

Rank

The elliptic curves in class 457776fw have rank \(1\).

Complex multiplication

The elliptic curves in class 457776fw do not have complex multiplication.

Modular form 457776.2.a.fw

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.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.