Properties

Label 199920cj
Number of curves 1
Conductor 199920
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("199920.cx1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 199920cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
199920.cx1 199920cj1 [0, -1, 0, -3731723445, 87758485728957] [] 145152000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 199920cj1 has rank \(0\).

Modular form 199920.2.a.cx

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{5} + q^{9} - 2q^{11} + 5q^{13} - q^{15} - q^{17} + 2q^{19} + O(q^{20}) \)