Properties

Label 100016o
Number of curves 1
Conductor 100016
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("100016.c1")
sage: E.isogeny_class()

Elliptic curves in class 100016o

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100016.c1 100016o1 [0, -1, 0, -1745392, -887388736] 1 1462272 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100016o1 has rank \(0\).

Modular form None

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