Properties

Label 2898a
Number of curves $1$
Conductor $2898$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 2898a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2898.c1 2898a1 \([1, -1, 0, -15, 27]\) \(-14348907/322\) \(-8694\) \([]\) \(224\) \(-0.45580\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2898a1 has rank \(1\).

Complex multiplication

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

Modular form 2898.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} + 2 q^{11} - q^{13} + q^{14} + q^{16} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display