Elliptic curve isogeny class with LMFDB label 1386.k (Cremona label 1386l)

• Label: 1386.k
• Number of curves: $4$
• Conductor: $1386$
• CM: no
• Rank: $0$

Elliptic curves in class 1386.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1386.k1	1386l4	$[1, -1, 1, -2039, 35925]$	$1285429208617/614922$	$448278138$	$[2]$	$1024$	$0.61497$
1386.k2	1386l3	$[1, -1, 1, -1139, -14259]$	$223980311017/4278582$	$3119086278$	$[2]$	$1024$	$0.61497$
1386.k3	1386l2	$[1, -1, 1, -149, 393]$	$498677257/213444$	$155600676$	$[2, 2]$	$512$	$0.26839$
1386.k4	1386l1	$[1, -1, 1, 31, 33]$	$4657463/3696$	$-2694384$	$[2]$	$256$	$-0.078180$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 1386.k have rank $0$.

Complex multiplication

The elliptic curves in class 1386.k do not have complex multiplication.

Modular form 1386.2.a.k

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.

$\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.