Elliptic curve isogeny class with LMFDB label 72128.bb (Cremona label 72128k)

• Label: 72128.bb
• Number of curves: $2$
• Conductor: $72128$
• CM: no
• Rank: $1$

Elliptic curves in class 72128.bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
72128.bb1	72128k2	\([0, 0, 0, -6860, -170128]\)	\(2315250/529\)	\(8157439066112\)	\([2]\)	\(110592\)	\(1.1900\)
72128.bb2	72128k1	\([0, 0, 0, 980, -16464]\)	\(13500/23\)	\(-177335631872\)	\([2]\)	\(55296\)	\(0.84341\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 72128.bb have rank \(1\).

Complex multiplication

The elliptic curves in class 72128.bb do not have complex multiplication.

Modular form 72128.2.a.bb

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.