Properties

Label 33800g
Number of curves 1
Conductor 33800
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("33800.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 33800g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
33800.k1 33800g1 [0, -1, 0, -18308, 667237] [] 79872 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800g1 has rank \(1\).

Modular form 33800.2.a.k

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{7} - 2q^{9} + q^{11} - 3q^{17} + 7q^{19} + O(q^{20}) \)