Properties

Label 18207f
Number of curves 1
Conductor 18207
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("18207.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 18207f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
18207.f1 18207f1 [1, -1, 0, -105, 98] [] 6048 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18207f1 has rank \(1\).

Modular form 18207.2.a.f

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{4} + 4q^{5} + q^{7} - 3q^{8} + 4q^{10} - 2q^{13} + q^{14} - q^{16} - 7q^{19} + O(q^{20}) \)