Properties

Label 221067.bj
Number of curves $1$
Conductor $221067$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 221067.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221067.bj1 221067bg1 \([1, -1, 0, 324, 3559]\) \(42568823/89523\) \(-7896734307\) \([]\) \(110592\) \(0.58346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221067.bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 221067.bj do not have complex multiplication.

Modular form 221067.2.a.bj

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + 2 q^{5} + q^{7} - 3 q^{8} + 2 q^{10} + 4 q^{13} + q^{14} - q^{16} + 3 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display