Elliptic curve isogeny class with Cremona label 58800iu (LMFDB label 58800.jh)

• Label: 58800iu
• Number of curves: $4$
• Conductor: $58800$
• CM: no
• Rank: $0$

Elliptic curves in class 58800iu

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
58800.jh3	58800iu1	[0, 1, 0, -69008, -4428012]	[2]	442368	\(\Gamma_0(N)\)-optimal
58800.jh2	58800iu2	[0, 1, 0, -461008, 117091988]	[2, 2]	884736
58800.jh4	58800iu3	[0, 1, 0, 126992, 395803988]	[2]	1769472
58800.jh1	58800iu4	[0, 1, 0, -7321008, 7621931988]	[4]	1769472

Rank

The elliptic curves in class 58800iu have rank \(0\).

Complex multiplication

The elliptic curves in class 58800iu do not have complex multiplication.

Modular form 58800.2.a.iu

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.