Properties

Label 102550.z
Number of curves 1
Conductor 102550
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("102550.z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.z1 102550ba1 [1, 0, 0, -98, -388] [] 22464 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.z1 has rank \(0\).

Modular form 102550.2.a.z

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