Properties

Label 18207.b
Number of curves 1
Conductor 18207
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("18207.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 18207.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
18207.b1 18207a1 [0, 0, 1, -13872, 2320164] [] 73728 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18207.b1 has rank \(2\).

Modular form 18207.2.a.b

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