Elliptic curve isogeny class with LMFDB label 1050.q (Cremona label 1050p)

• Label: 1050.q
• Number of curves: $4$
• Conductor: $1050$
• CM: no
• Rank: $0$

Elliptic curves in class 1050.q

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
1050.q1	1050p3	[1, 0, 0, -9338, 346542]	[2]	1536
1050.q2	1050p2	[1, 0, 0, -588, 5292]	[2, 2]	768
1050.q3	1050p1	[1, 0, 0, -88, -208]	[2]	384	\(\Gamma_0(N)\)-optimal
1050.q4	1050p4	[1, 0, 0, 162, 18042]	[2]	1536

Rank

The elliptic curves in class 1050.q have rank \(0\).

Complex multiplication

The elliptic curves in class 1050.q do not have complex multiplication.

Modular form 1050.2.a.q

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.