Elliptic curve isogeny class with LMFDB label 84150.cn (Cremona label 84150be)

• Label: 84150.cn
• Number of curves: $2$
• Conductor: $84150$
• CM: no
• Rank: $0$

Elliptic curves in class 84150.cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
84150.cn1	84150be2	\([1, -1, 0, -275967, 32291941]\)	\(204055591784617/78708537864\)	\(896539439107125000\)	\([2]\)	\(1376256\)	\(2.1438\)
84150.cn2	84150be1	\([1, -1, 0, -122967, -16209059]\)	\(18052771191337/444958272\)	\(5068352817000000\)	\([2]\)	\(688128\)	\(1.7972\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 84150.cn have rank \(0\).

Complex multiplication

The elliptic curves in class 84150.cn do not have complex multiplication.

Modular form 84150.2.a.cn

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.