Properties

Label 102550h
Number of curves 1
Conductor 102550
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("102550.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 102550h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
102550.a1 102550h1 [1, -1, 0, -14917, -697259] [] 380160 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550h1 has rank \(2\).

Modular form 102550.2.a.a

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