Properties

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

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Show commands: SageMath
E = EllipticCurve("eo1")
 
E.isogeny_class()
 

Elliptic curves in class 22050.eo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22050.eo1 22050dq1 \([1, -1, 1, -397130, 97555497]\) \(-105484561/1440\) \(-94557148402500000\) \([]\) \(322560\) \(2.0642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22050.eo1 has rank \(1\).

Complex multiplication

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

Modular form 22050.2.a.eo

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{8} + q^{11} - 7 q^{13} + q^{16} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display