Properties

Label 33800.z
Number of curves 1
Conductor 33800
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("33800.z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 33800.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
33800.z1 33800bb1 [0, -1, 0, 1147792, -1198459588] [] 1209600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800.z1 has rank \(1\).

Modular form 33800.2.a.z

sage: E.q_eigenform(10)
 
\( q + 2q^{3} + 3q^{7} + q^{9} - q^{11} - 5q^{17} + 4q^{19} + O(q^{20}) \)