Properties

Label 283920.h
Number of curves $1$
Conductor $283920$
CM no
Rank $1$

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

Elliptic curves in class 283920.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283920.h1 283920h1 \([0, -1, 0, -2721, 165645]\) \(-51516015616/241171875\) \(-10434060000000\) \([]\) \(516096\) \(1.1827\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283920.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 283920.h do not have complex multiplication.

Modular form 283920.2.a.h

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