Properties

Label 8033.a
Number of curves 1
Conductor 8033
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("8033.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8033.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
8033.a1 8033a1 [1, 0, 1, -555, -5073] [] 2128 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8033.a1 has rank \(0\).

Modular form 8033.2.a.a

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{3} - q^{4} - 3q^{5} + q^{6} + 2q^{7} - 3q^{8} - 2q^{9} - 3q^{10} - 3q^{11} - q^{12} + q^{13} + 2q^{14} - 3q^{15} - q^{16} - 2q^{17} - 2q^{18} - 4q^{19} + O(q^{20}) \)