Elliptic curve isogeny class with Cremona label 394944f (LMFDB label 394944.f)

• Label: 394944f
• Number of curves: $2$
• Conductor: $394944$
• CM: no
• Rank: $1$

Elliptic curves in class 394944f

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
394944.f1	394944f1	[0, -1, 0, -1517985, 719912481]	[2]	8847360	\(\Gamma_0(N)\)-optimal
394944.f2	394944f2	[0, -1, 0, -1208225, 1021928481]	[2]	17694720

Rank

The elliptic curves in class 394944f have rank \(1\).

Complex multiplication

The elliptic curves in class 394944f do not have complex multiplication.

Modular form 394944.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.