Properties

Label 100016.e
Number of curves 1
Conductor 100016
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("100016.e1")
sage: E.isogeny_class()

Elliptic curves in class 100016.e

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100016.e1 100016h1 [0, -1, 0, 209, -5158] 1 43008 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100016.e1 has rank \(1\).

Modular form 100016.2.a.e

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