Properties

Label 221067bh
Number of curves $1$
Conductor $221067$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 221067bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221067.bf1 221067bh1 \([1, -1, 0, -3034521, 2035484644]\) \(-289531596860402017/17410522563\) \(-185827538955919707\) \([]\) \(3870720\) \(2.3747\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221067bh1 has rank \(1\).

Complex multiplication

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

Modular form 221067.2.a.bh

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