Elliptic curve isogeny class with LMFDB label 384.f (Cremona label 384c)

• Label: 384.f
• Number of curves: $2$
• Conductor: $384$
• CM: no
• Rank: $0$

Elliptic curves in class 384.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
384.f1	384c2	$[0, 1, 0, -13, 11]$	$16000/3$	$49152$	$[2]$	$32$	$-0.38187$
384.f2	384c1	$[0, 1, 0, 2, 2]$	$4000/9$	$-1152$	$[2]$	$16$	$-0.72845$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 384.f have rank $0$.

Complex multiplication

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

Modular form 384.2.a.f

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.