Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("102550.w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.w1 102550z1 [1, 0, 0, -3513, -5582983] [] 836160 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.w1 has rank \(2\).

Modular form 102550.2.a.w

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + q^{8} - 2q^{9} - q^{11} + q^{12} - 6q^{13} - q^{14} + q^{16} - 5q^{17} - 2q^{18} - 7q^{19} + O(q^{20}) \)