Properties

Label 102550d
Number of curves 1
Conductor 102550
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("102550.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.k1 102550d1 [1, -1, 0, 1708, 17616] [] 172480 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550d1 has rank \(0\).

Modular form 102550.2.a.k

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{7} - q^{8} - 3q^{9} - 6q^{11} - 5q^{13} + q^{14} + q^{16} + 5q^{17} + 3q^{18} + 4q^{19} + O(q^{20}) \)