Properties

Label 19600.bg
Number of curves 1
Conductor 19600
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("19600.bg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19600.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19600.bg1 19600c1 [0, -1, 0, -408, -2813] [] 6720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600.bg1 has rank \(1\).

Modular form 19600.2.a.bg

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{9} - 3q^{11} + 6q^{13} + 5q^{17} - q^{19} + O(q^{20}) \)