Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 221067.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
221067.u1 221067s1 [0, 0, 1, -175692, -5515997] [] 1537536 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221067.u1 has rank \(1\).

Complex multiplication

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

Modular form 221067.2.a.u

sage: E.q_eigenform(10)
 
\( q - 2q^{4} + q^{5} + q^{7} + 4q^{16} - 3q^{17} - 2q^{19} + O(q^{20}) \)