Elliptic curve isogeny class with Cremona label 23520j (LMFDB label 23520.o)

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

Elliptic curves in class 23520j

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
23520.o3	23520j1	[0, -1, 0, -211990, 30643600]	[2, 2]	221184	\(\Gamma_0(N)\)-optimal
23520.o4	23520j2	[0, -1, 0, 436280, 180782932]	[2]	442368
23520.o2	23520j3	[0, -1, 0, -1038865, -379651775]	[2]	442368
23520.o1	23520j4	[0, -1, 0, -3213240, 2217954600]	[2]	442368

Rank

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

Complex multiplication

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

Modular form 23520.2.a.j

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.