Elliptic curve isogeny class with LMFDB label 9800.u (Cremona label 9800d)

• Label: 9800.u
• Number of curves: $4$
• Conductor: $9800$
• CM: no
• Rank: $0$

Elliptic curves in class 9800.u

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
9800.u1	9800d3	[0, 0, 0, -366275, -85321250]	[2]	49152
9800.u2	9800d4	[0, 0, 0, -72275, 5916750]	[2]	49152
9800.u3	9800d2	[0, 0, 0, -23275, -1286250]	[2, 2]	24576
9800.u4	9800d1	[0, 0, 0, 1225, -85750]	[2]	12288	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 9800.u have rank \(0\).

Complex multiplication

The elliptic curves in class 9800.u do not have complex multiplication.

Modular form 9800.2.a.u

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.