Elliptic curve isogeny class with LMFDB label 20160.i (Cremona label 20160bf)

• Label: 20160.i
• Number of curves: $4$
• Conductor: $20160$
• CM: no
• Rank: $0$

Elliptic curves in class 20160.i

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
20160.i1	20160bf3	[0, 0, 0, -215148, -38410832]	[2]	98304
20160.i2	20160bf2	[0, 0, 0, -13548, -590672]	[2, 2]	49152
20160.i3	20160bf1	[0, 0, 0, -2028, 22192]	[2]	24576	\(\Gamma_0(N)\)-optimal
20160.i4	20160bf4	[0, 0, 0, 3732, -1993808]	[2]	98304

Rank

The elliptic curves in class 20160.i have rank \(0\).

Complex multiplication

The elliptic curves in class 20160.i do not have complex multiplication.

Modular form 20160.2.a.i

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.