Properties

Label 100008b
Number of curves 1
Conductor 100008
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("100008.a1")
sage: E.isogeny_class()

Elliptic curves in class 100008b

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
100008.a1 100008b1 [0, 0, 0, -459, -5994] 1 65088 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 100008b1 has rank \(1\).

Modular form None

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