Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("102550.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.p1 102550k1 [1, 1, 0, -875, -12625] [] 94080 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.p1 has rank \(1\).

Modular form 102550.2.a.p

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