Properties

Label 2898.k
Number of curves $1$
Conductor $2898$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2898.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2898.k1 2898u1 \([1, -1, 1, -46184, 3850539]\) \(-14943832855786297/85501108224\) \(-62330307895296\) \([]\) \(12480\) \(1.4887\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2898.k1 has rank \(1\).

Complex multiplication

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

Modular form 2898.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 3 q^{5} + q^{7} + q^{8} - 3 q^{10} - 4 q^{11} + 3 q^{13} + q^{14} + q^{16} + O(q^{20})\)  Toggle raw display