Properties

Label 84150dw
Number of curves 1
Conductor 84150
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("84150.ex1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 84150dw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
84150.ex1 84150dw1 [1, -1, 1, -229880, -75427253] [] 1382400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84150dw1 has rank \(1\).

Modular form 84150.2.a.ex

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{4} - q^{7} + q^{8} - q^{11} - q^{13} - q^{14} + q^{16} + q^{17} - 7q^{19} + O(q^{20}) \)