Elliptic curve isogeny class with Cremona label 16184d (LMFDB label 16184.d)

• Label: 16184d
• Number of curves: $4$
• Conductor: $16184$
• CM: no
• Rank: $1$

Elliptic curves in class 16184d

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
16184.d4	16184d1	[0, 0, 0, 289, 9826]	[2]	9216	\(\Gamma_0(N)\)-optimal
16184.d3	16184d2	[0, 0, 0, -5491, 147390]	[2, 2]	18432
16184.d2	16184d3	[0, 0, 0, -17051, -677994]	[2]	36864
16184.d1	16184d4	[0, 0, 0, -86411, 9776870]	[2]	36864

Rank

The elliptic curves in class 16184d have rank \(1\).

Complex multiplication

The elliptic curves in class 16184d do not have complex multiplication.

Modular form 16184.2.a.d

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.