Properties

Label 10008h
Number of curves 1
Conductor 10008
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("10008.h1")
sage: E.isogeny_class()

Elliptic curves in class 10008h

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
10008.h1 10008h1 [0, 0, 0, -8211, 289118] 1 26624 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 10008h1 has rank \(0\).

Modular form None

sage: E.q_eigenform(10)
\( q + 3q^{5} + 5q^{7} - 5q^{11} - q^{13} + 8q^{19} + O(q^{20}) \)