Elliptic curve isogeny class with Cremona label 287490cs (LMFDB label 287490.cs)

• Label: 287490cs
• Number of curves: $4$
• Conductor: $287490$
• CM: no
• Rank: $1$

Elliptic curves in class 287490cs

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
287490.cs3	287490cs1	[1, 1, 1, -4820, -83323]	[2]	829440	\(\Gamma_0(N)\)-optimal
287490.cs2	287490cs2	[1, 1, 1, -32200, 2150885]	[2, 2]	1658880
287490.cs1	287490cs3	[1, 1, 1, -511350, 140529405]	[2]	3317760
287490.cs4	287490cs4	[1, 1, 1, 8870, 7309277]	[2]	3317760

Rank

The elliptic curves in class 287490cs have rank \(1\).

Complex multiplication

The elliptic curves in class 287490cs do not have complex multiplication.

Modular form 287490.2.a.cs

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.