Properties

Label 102550.n
Number of curves 1
Conductor 102550
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("102550.n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.n1 102550i1 [1, 0, 1, -1501, -73352] [] 143360 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.n1 has rank \(2\).

Modular form 102550.2.a.n

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