Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("19600.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19600.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19600.b1 19600bq1 [0, 0, 0, 6125, -428750] [] 86400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600.b1 has rank \(1\).

Modular form 19600.2.a.b

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + 6q^{9} - q^{11} - 4q^{13} - 5q^{17} + q^{19} + O(q^{20}) \)