Properties

Label 100011e
Number of curves 1
Conductor 100011
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("100011.a1")
sage: E.isogeny_class()

Elliptic curves in class 100011e

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100011.a1 100011e1 [0, 1, 1, 1070, 7408] 1 121968 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100011e1 has rank \(1\).

Modular form None

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