Properties

Label 286650b
Number of curves 1
Conductor 286650
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("286650.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 286650b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
286650.b1 286650b1 [1, -1, 0, -492, 566] [] 193536 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650b1 has rank \(2\).

Modular form 286650.2.a.b

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{8} - 6q^{11} - q^{13} + q^{16} + q^{17} + O(q^{20}) \)