Properties

Label 10002b
Number of curves 1
Conductor 10002
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("10002.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 10002b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
10002.b1 10002b1 [1, 1, 0, -810, 8532] [] 5280 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10002b1 has rank \(0\).

Modular form 10002.2.a.b

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + q^{6} + 4q^{7} - q^{8} + q^{9} + 5q^{11} - q^{12} - 4q^{14} + q^{16} + 2q^{17} - q^{18} + O(q^{20}) \)