Properties

Label 8001.g
Number of curves 1
Conductor 8001
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("8001.g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8001.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
8001.g1 8001a1 [0, 0, 1, -297, -1897] [] 3648 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8001.g1 has rank \(0\).

Modular form 8001.2.a.g

sage: E.q_eigenform(10)
 
\( q + 2q^{2} + 2q^{4} + q^{5} - q^{7} + 2q^{10} - q^{13} - 2q^{14} - 4q^{16} + 6q^{17} - 4q^{19} + O(q^{20}) \)