Properties

Label 10008.a
Number of curves 1
Conductor 10008
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("10008.a1")
sage: E.isogeny_class()

Elliptic curves in class 10008.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
10008.a1 10008e1 [0, 0, 0, -285267, -58644610] 1 101376 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 10008.a1 has rank \(1\).

Modular form None

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