Properties

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

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 22050.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22050.x1 22050g1 \([1, -1, 0, 7383, -167959]\) \(4725/4\) \(-37674492187500\) \([]\) \(60480\) \(1.2926\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22050.x1 has rank \(0\).

Complex multiplication

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

Modular form 22050.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 2 q^{11} + 3 q^{13} + q^{16} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display