Properties

Label 221067.v
Number of curves $1$
Conductor $221067$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 221067.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
221067.v1 221067w1 [0, 0, 1, -31944, 13458739] [] 1584000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221067.v1 has rank \(0\).

Complex multiplication

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

Modular form 221067.2.a.v

sage: E.q_eigenform(10)
 
\( q - 2q^{4} + 2q^{5} - q^{7} + 4q^{13} + 4q^{16} + q^{17} + 7q^{19} + O(q^{20}) \)