Elliptic curve isogeny class with LMFDB label 30960.bc (Cremona label 30960cd)

• Label: 30960.bc
• Number of curves: $4$
• Conductor: $30960$
• CM: no
• Rank: $1$

Elliptic curves in class 30960.bc

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
30960.bc1	30960cd4	[0, 0, 0, -120747, 16039514]	[4]	147456
30960.bc2	30960cd2	[0, 0, 0, -12747, -138886]	[2, 2]	73728
30960.bc3	30960cd1	[0, 0, 0, -9867, -376774]	[2]	36864	\(\Gamma_0(N)\)-optimal
30960.bc4	30960cd3	[0, 0, 0, 49173, -1092454]	[2]	147456

Rank

The elliptic curves in class 30960.bc have rank \(1\).

Complex multiplication

The elliptic curves in class 30960.bc do not have complex multiplication.

Modular form 30960.2.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.