Elliptic curve isogeny class with LMFDB label 139150.bw (Cremona label 139150c)

• Label: 139150.bw
• Number of curves: $2$
• Conductor: $139150$
• CM: no
• Rank: $1$

Elliptic curves in class 139150.bw

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
139150.bw1	139150c2	\([1, 0, 0, -8811888, 10067459392]\)	\(109348914285625/1472\)	\(1018647575000000\)	\([]\)	\(2916000\)	\(2.4367\)
139150.bw2	139150c1	\([1, 0, 0, -115013, 12132517]\)	\(243135625/48668\)	\(33679035448437500\)	\([]\)	\(972000\)	\(1.8874\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 139150.bw have rank \(1\).

Complex multiplication

The elliptic curves in class 139150.bw do not have complex multiplication.

Modular form 139150.2.a.bw

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.