Elliptic curve isogeny class with Cremona label 372810n (LMFDB label 372810.n)

• Label: 372810n
• Number of curves: $4$
• Conductor: $372810$
• CM: no
• Rank: $2$

Elliptic curves in class 372810n

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
372810.n3	372810n1	[1, 1, 0, -19802, -1079484]	[2]	983040	\(\Gamma_0(N)\)-optimal
372810.n2	372810n2	[1, 1, 0, -25582, -405536]	[2, 2]	1966080
372810.n1	372810n3	[1, 1, 0, -242332, 45502114]	[2]	3932160
372810.n4	372810n4	[1, 1, 0, 98688, -3064914]	[2]	3932160

Rank

The elliptic curves in class 372810n have rank \(2\).

Complex multiplication

The elliptic curves in class 372810n do not have complex multiplication.

Modular form 372810.2.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 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.