Properties

Label 16830w
Number of curves 1
Conductor 16830
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("16830.s1")
sage: E.isogeny_class()

Elliptic curves in class 16830w

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
16830.s1 16830w1 [1, -1, 0, 45, 135] 1 3840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 16830w1 has rank \(1\).

Modular form 16830.2.a.s

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