Elliptic curve isogeny class with LMFDB label 48139.e (Cremona label 48139c)

• Label: 48139.e
• Number of curves: $2$
• Conductor: $48139$
• CM: no
• Rank: $0$

Elliptic curves in class 48139.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
48139.e1	48139c2	\([1, 1, 1, -51853, 3080740]\)	\(104154702625/32188247\)	\(4765015759996583\)	\([2]\)	\(253440\)	\(1.7129\)
48139.e2	48139c1	\([1, 1, 1, 8982, 330998]\)	\(541343375/625807\)	\(-92641895587423\)	\([2]\)	\(126720\)	\(1.3663\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 48139.e have rank \(0\).

Complex multiplication

The elliptic curves in class 48139.e do not have complex multiplication.

Modular form 48139.2.a.e

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.