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

• Label: 1386.g
• Number of curves: $4$
• Conductor: $1386$
• CM: no
• Rank: $1$

Elliptic curves in class 1386.g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
1386.g1	1386g3	[1, -1, 1, -828041, -289811415]	[2]	15360
1386.g2	1386g2	[1, -1, 1, -51881, -4494999]	[2, 2]	7680
1386.g3	1386g4	[1, -1, 1, -13001, -11104599]	[2]	15360
1386.g4	1386g1	[1, -1, 1, -5801, 57705]	[4]	3840	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 1386.g have rank \(1\).

Complex multiplication

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

Modular form 1386.2.a.g

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.