Properties

Label 59840h
Number of curves $1$
Conductor $59840$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 59840h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59840.n1 59840h1 \([0, -1, 0, 319, -2879]\) \(13651919/20570\) \(-5392302080\) \([]\) \(24576\) \(0.55273\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59840h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59840h do not have complex multiplication.

Modular form 59840.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 4 q^{7} - 2 q^{9} + q^{11} + q^{13} + q^{15} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display