Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("22050.h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 22050.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
22050.h1 22050q1 [1, -1, 0, 49383, 12106541] [] 299520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22050.h1 has rank \(1\).

Modular form 22050.2.a.h

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