Properties

Label 100005b
Number of curves 1
Conductor 100005
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("100005.b1")
sage: E.isogeny_class()

Elliptic curves in class 100005b

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100005.b1 100005b1 [0, 1, 1, -1651, -26354] 1 58320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100005b1 has rank \(0\).

Modular form None

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