Properties

Label 10004a
Number of curves 1
Conductor 10004
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("10004.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10004a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
10004.a1 10004a1 [0, 0, 0, -536, -4508] [] 3168 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10004a1 has rank \(1\).

Modular form 10004.2.a.a

sage: E.q_eigenform(10)
 
\( q + 3q^{5} - 3q^{9} - q^{11} - 2q^{13} + 7q^{17} - 4q^{19} + O(q^{20}) \)