Properties

Label 19600.f
Number of curves 1
Conductor 19600
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("19600.f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19600.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19600.f1 19600bd1 [0, 0, 0, -175, -875] [] 6720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600.f1 has rank \(0\).

Modular form 19600.2.a.f

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