Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("33800.bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 33800.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
33800.bc1 33800j1 [0, 0, 0, 845, -21970] [] 51840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800.bc1 has rank \(1\).

Modular form 33800.2.a.bc

sage: E.q_eigenform(10)
 
\( q + 3q^{3} + 2q^{7} + 6q^{9} - q^{11} - 5q^{17} - q^{19} + O(q^{20}) \)