Elliptic curve isogeny class with LMFDB label 19600.cj (Cremona label 19600h)

• Label: 19600.cj
• Number of curves: $4$
• Conductor: $19600$
• CM: no
• Rank: $0$

Elliptic curves in class 19600.cj

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
19600.cj1	19600h4	[0, 0, 0, -366275, 85321250]	[2]	98304
19600.cj2	19600h3	[0, 0, 0, -72275, -5916750]	[2]	98304
19600.cj3	19600h2	[0, 0, 0, -23275, 1286250]	[2, 2]	49152
19600.cj4	19600h1	[0, 0, 0, 1225, 85750]	[2]	24576	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 19600.cj have rank \(0\).

Complex multiplication

The elliptic curves in class 19600.cj do not have complex multiplication.

Modular form 19600.2.a.cj

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.