Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("19600.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19600bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19600.k1 19600bp1 [0, 1, 0, -408, 5263] [] 13824 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600bp1 has rank \(1\).

Modular form 19600.2.a.k

sage: E.q_eigenform(10)
 
\( q - 2q^{3} + q^{9} - 5q^{11} + 8q^{17} - 2q^{19} + O(q^{20}) \)