Properties

Label 18207.a
Number of curves 1
Conductor 18207
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("18207.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 18207.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
18207.a1 18207g1 [0, 0, 1, 51153, 3096418] [] 110592 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18207.a1 has rank \(1\).

Modular form 18207.2.a.a

sage: E.q_eigenform(10)
 
\( q - 2q^{2} + 2q^{4} + q^{5} + q^{7} - 2q^{10} + q^{11} + q^{13} - 2q^{14} - 4q^{16} + q^{19} + O(q^{20}) \)