Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("10008.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10008.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
10008.b1 10008g1 [0, 0, 0, 6, 61] [] 1344 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10008.b1 has rank \(1\).

Modular form 10008.2.a.b

sage: E.q_eigenform(10)
 
\( q - 3q^{5} + q^{7} + 5q^{11} - 3q^{13} - 2q^{17} - 6q^{19} + O(q^{20}) \)