Elliptic curve isogeny class with Cremona label 490392be (LMFDB label 490392.be)

• Label: 490392be
• Number of curves: $2$
• Conductor: $490392$
• CM: no
• Rank: $1$

Elliptic curves in class 490392be

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
490392.be1	490392be1	\([0, 0, 0, -5439, -104958]\)	\(21882096/6811\)	\(5538636327168\)	\([2]\)	\(737280\)	\(1.1496\)	\(\Gamma_0(N)\)-optimal
490392.be2	490392be2	\([0, 0, 0, 15141, -710010]\)	\(118014516/135247\)	\(-439925971129344\)	\([2]\)	\(1474560\)	\(1.4962\)

Rank

The elliptic curves in class 490392be have rank \(1\).

Complex multiplication

The elliptic curves in class 490392be do not have complex multiplication.

Modular form 490392.2.a.be

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.