Properties

Label 8001.b
Number of curves 1
Conductor 8001
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("8001.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8001.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
8001.b1 8001b1 [0, 0, 1, -33, 70] [] 1216 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8001.b1 has rank \(2\).

Modular form 8001.2.a.b

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