Properties

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

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

Elliptic curves in class 22050.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22050.h1 22050q1 \([1, -1, 0, 49383, 12106541]\) \(10733445/57344\) \(-71154115200000000\) \([]\) \(299520\) \(1.9157\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 22050.2.a.h

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