Elliptic curve isogeny class with LMFDB label 3136.q (Cremona label 3136e)

• Label: 3136.q
• Number of curves: $4$
• Conductor: $3136$
• CM: no
• Rank: $0$

Elliptic curves in class 3136.q

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
3136.q1	3136e3	[0, 0, 0, -58604, -5460560]	[2]	6144
3136.q2	3136e4	[0, 0, 0, -11564, 378672]	[2]	6144
3136.q3	3136e2	[0, 0, 0, -3724, -82320]	[2, 2]	3072
3136.q4	3136e1	[0, 0, 0, 196, -5488]	[2]	1536	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 3136.q have rank \(0\).

Complex multiplication

The elliptic curves in class 3136.q do not have complex multiplication.

Modular form 3136.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.