Elliptic curve isogeny class with LMFDB label 384.b (Cremona label 384d)

• Label: 384.b
• Number of curves: $2$
• Conductor: $384$
• CM: no
• Rank: $1$

Elliptic curves in class 384.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
384.b1	384d1	\([0, -1, 0, -3, 3]\)	\(16000/3\)	\(768\)	\([2]\)	\(16\)	\(-0.72845\)	\(\Gamma_0(N)\)-optimal
384.b2	384d2	\([0, -1, 0, 7, 9]\)	\(4000/9\)	\(-73728\)	\([2]\)	\(32\)	\(-0.38187\)

Rank

The elliptic curves in class 384.b have rank \(1\).

Complex multiplication

The elliptic curves in class 384.b do not have complex multiplication.

Modular form 384.2.a.b

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.