Elliptic curve isogeny class with Cremona label 2898s (LMFDB label 2898.u)

• Label: 2898s
• Number of curves: $2$
• Conductor: $2898$
• CM: no
• Rank: $0$

Elliptic curves in class 2898s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2898.u2	2898s1	\([1, -1, 1, 157, 159]\)	\(590589719/365148\)	\(-266192892\)	\([2]\)	\(1536\)	\(0.30577\)	\(\Gamma_0(N)\)-optimal
2898.u1	2898s2	\([1, -1, 1, -653, 1779]\)	\(42180533641/22862322\)	\(16666632738\)	\([2]\)	\(3072\)	\(0.65235\)

Rank

The elliptic curves in class 2898s have rank \(0\).

Complex multiplication

The elliptic curves in class 2898s do not have complex multiplication.

Modular form 2898.2.a.s

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.