Properties

Label 10008c
Number of curves 1
Conductor 10008
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("10008.d1")
sage: E.isogeny_class()

Elliptic curves in class 10008c

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
10008.d1 10008c1 [0, 0, 0, 117, 54] 1 2048 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 10008c1 has rank \(1\).

Modular form None

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