Properties

Label 19600dk
Number of curves 1
Conductor 19600
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("19600.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19600dk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19600.e1 19600dk1 [0, 0, 0, 6125, -3368750] [] 138240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600dk1 has rank \(1\).

Modular form 19600.2.a.e

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