Elliptic curve isogeny class with LMFDB label 100800.iv (Cremona label 100800ft)

• Label: 100800.iv
• Number of curves: $4$
• Conductor: $100800$
• CM: no
• Rank: $1$

Elliptic curves in class 100800.iv

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
100800.iv1	100800ft4	[0, 0, 0, -5378700, -4801354000]	[2]	2359296
100800.iv2	100800ft2	[0, 0, 0, -338700, -73834000]	[2, 2]	1179648
100800.iv3	100800ft1	[0, 0, 0, -50700, 2774000]	[2]	589824	\(\Gamma_0(N)\)-optimal
100800.iv4	100800ft3	[0, 0, 0, 93300, -249226000]	[2]	2359296

Rank

The elliptic curves in class 100800.iv have rank \(1\).

Complex multiplication

The elliptic curves in class 100800.iv do not have complex multiplication.

Modular form 100800.2.a.iv

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.