Elliptic curve isogeny class with LMFDB label 389376.ba (Cremona label 389376ba)

• Label: 389376.ba
• Number of curves: $2$
• Conductor: $389376$
• CM: no
• Rank: $1$

Elliptic curves in class 389376.ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
389376.ba1	389376ba2	\([0, 0, 0, -141960, 20528768]\)	\(2744000/9\)	\(1037719760044032\)	\([2]\)	\(2211840\)	\(1.7466\)
389376.ba2	389376ba1	\([0, 0, 0, -5070, 597584]\)	\(-8000/81\)	\(-145929341256192\)	\([2]\)	\(1105920\)	\(1.4001\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 389376.ba have rank \(1\).

Complex multiplication

The elliptic curves in class 389376.ba do not have complex multiplication.

Modular form 389376.2.a.ba

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.