Elliptic curve isogeny class with Cremona label 23520bc (LMFDB label 23520.h)

• Label: 23520bc
• Number of curves: $4$
• Conductor: $23520$
• CM: no
• Rank: $1$

Elliptic curves in class 23520bc

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
23520.h3	23520bc1	[0, -1, 0, -43626, 3411360]	[2, 2]	73728	\(\Gamma_0(N)\)-optimal
23520.h4	23520bc2	[0, -1, 0, 16399, 12018945]	[2]	147456
23520.h2	23520bc3	[0, -1, 0, -109776, -9315900]	[2]	147456
23520.h1	23520bc4	[0, -1, 0, -691896, 221748696]	[2]	147456

Rank

The elliptic curves in class 23520bc have rank \(1\).

Complex multiplication

The elliptic curves in class 23520bc do not have complex multiplication.

Modular form 23520.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.