Properties

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

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Show commands for: SageMath

sage: E = EllipticCurve("10008.g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10008.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
10008.g1 10008b1 [0, 0, 0, -111, -862] [] 3584 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10008.g1 has rank \(0\).

Modular form 10008.2.a.g

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