Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("19600.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19600dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19600.i1 19600dc1 [0, 0, 0, 39200, 9089500] [] 276480 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600dc1 has rank \(1\).

Modular form 19600.2.a.i

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