Properties

Label 1002.b
Number of curves 1
Conductor 1002
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("1002.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1002.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1002.b1 1002b1 [1, 1, 0, 564, 1872] [] 1104 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1002.b1 has rank \(0\).

Modular form 1002.2.a.b

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + 3q^{5} + q^{6} + 3q^{7} - q^{8} + q^{9} - 3q^{10} + 6q^{11} - q^{12} + 2q^{13} - 3q^{14} - 3q^{15} + q^{16} - q^{18} + O(q^{20}) \)