Elliptic curve isogeny class with LMFDB label 4410.bc (Cremona label 4410be)

• Label: 4410.bc
• Number of curves: $4$
• Conductor: $4410$
• CM: no
• Rank: $0$

Elliptic curves in class 4410.bc

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
4410.bc1	4410be3	[1, -1, 1, -164723, 25773437]	[2]	24576
4410.bc2	4410be2	[1, -1, 1, -10373, 398297]	[2, 2]	12288
4410.bc3	4410be1	[1, -1, 1, -1553, -14479]	[2]	6144	\(\Gamma_0(N)\)-optimal
4410.bc4	4410be4	[1, -1, 1, 2857, 1334981]	[2]	24576

Rank

The elliptic curves in class 4410.bc have rank \(0\).

Complex multiplication

The elliptic curves in class 4410.bc do not have complex multiplication.

Modular form 4410.2.a.bc

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.