Properties

Label 33800.q
Number of curves 1
Conductor 33800
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("33800.q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 33800.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
33800.q1 33800r1 [0, 1, 0, -1408, 19813] [] 18432 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800.q1 has rank \(2\).

Modular form 33800.2.a.q

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