Elliptic curve isogeny class with LMFDB label 3630.n (Cremona label 3630n)

• Label: 3630.n
• Number of curves: $4$
• Conductor: $3630$
• CM: no
• Rank: $1$

Elliptic curves in class 3630.n

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
3630.n1	3630n3	[1, 1, 1, -503786, -105462367]	[2]	76800
3630.n2	3630n2	[1, 1, 1, -171036, 25774233]	[2, 2]	38400
3630.n3	3630n1	[1, 1, 1, -168616, 26579609]	[4]	19200	\(\Gamma_0(N)\)-optimal
3630.n4	3630n4	[1, 1, 1, 122994, 105515169]	[2]	76800

Rank

The elliptic curves in class 3630.n have rank \(1\).

Complex multiplication

The elliptic curves in class 3630.n do not have complex multiplication.

Modular form 3630.2.a.n

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.