Properties

Label 286650.r
Number of curves 1
Conductor 286650
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("286650.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 286650.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
286650.r1 286650r1 [1, -1, 0, -1655082, -729633164] [] 12337920 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.r1 has rank \(1\).

Modular form 286650.2.a.r

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{8} - 5q^{11} + q^{13} + q^{16} - 2q^{17} + 2q^{19} + O(q^{20}) \)