Properties

Label 18097b
Number of curves 1
Conductor 18097
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("18097.a1")
sage: E.isogeny_class()

Elliptic curves in class 18097b

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
18097.a1 18097b1 [1, 1, 1, -10, 6] 1 2160 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 18097b1 has rank \(3\).

Modular form None

sage: E.q_eigenform(10)
\( q - q^{2} - q^{3} - q^{4} - 4q^{5} + q^{6} - q^{7} + 3q^{8} - 2q^{9} + 4q^{10} - 6q^{11} + q^{12} - 5q^{13} + q^{14} + 4q^{15} - q^{16} - 7q^{17} + 2q^{18} - 4q^{19} + O(q^{20}) \)