Properties

Label 22050i
Number of curves $1$
Conductor $22050$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22050i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22050.ci1 22050i1 [1, -1, 0, 17778, -2622124] [] 179712 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22050i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22050i do not have complex multiplication.

Modular form 22050.2.a.i

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{8} + 4q^{11} - 3q^{13} + q^{16} - 7q^{17} + 6q^{19} + O(q^{20}) \)