Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 221067r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
221067.t1 221067r1 [0, 0, 1, -35393952, 60938173579] [] 24161280 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221067r1 has rank \(0\).

Complex multiplication

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

Modular form 221067.2.a.r

sage: E.q_eigenform(10)
 
\( q - 2q^{4} + q^{5} + q^{7} + 4q^{16} - 3q^{17} - 6q^{19} + O(q^{20}) \)