Properties

Label 10008.e
Number of curves 1
Conductor 10008
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("10008.e1")
sage: E.isogeny_class()

Elliptic curves in class 10008.e

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
10008.e1 10008a1 [0, 0, 0, -435, -4322] 1 3072 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 10008.e1 has rank \(0\).

Modular form None

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