Properties

Label 102550.f
Number of curves 1
Conductor 102550
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("102550.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.f1 102550c1 [1, 1, 0, -220395, 79825165] [] 1286400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.f1 has rank \(1\).

Modular form 102550.2.a.f

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