Elliptic curve isogeny class with Cremona label 3520g (LMFDB label 3520.bd)

• Label: 3520g
• Number of curves: $4$
• Conductor: $3520$
• CM: no
• Rank: $0$

Elliptic curves in class 3520g

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
3520.bd4	3520g1	[0, -1, 0, -181, 981]	[2]	1152	\(\Gamma_0(N)\)-optimal
3520.bd3	3520g2	[0, -1, 0, -401, -1615]	[2]	2304
3520.bd2	3520g3	[0, -1, 0, -1781, -27979]	[2]	3456
3520.bd1	3520g4	[0, -1, 0, -28401, -1832815]	[2]	6912

Rank

The elliptic curves in class 3520g have rank \(0\).

Complex multiplication

The elliptic curves in class 3520g do not have complex multiplication.

Modular form 3520.2.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 Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.