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.