Properties

Label 10003a
Number of curves 1
Conductor 10003
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("10003.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10003a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
10003.a1 10003a1 [1, 1, 1, 52, 208] [] 1960 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10003a1 has rank \(0\).

Modular form 10003.2.a.a

sage: E.q_eigenform(10)
 
\( q - q^{2} + 2q^{3} - q^{4} - 2q^{6} - q^{7} + 3q^{8} + q^{9} + 6q^{11} - 2q^{12} - 2q^{13} + q^{14} - q^{16} - 4q^{17} - q^{18} - 4q^{19} + O(q^{20}) \)