Properties

Label 458640.ny
Number of curves $1$
Conductor $458640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ny1")
 
E.isogeny_class()
 

Elliptic curves in class 458640.ny

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.ny1 458640ny1 \([0, 0, 0, 140973, 4691554]\) \(71997884/43875\) \(-188811713930112000\) \([]\) \(5031936\) \(2.0042\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 458640.ny1 has rank \(1\).

Complex multiplication

The elliptic curves in class 458640.ny do not have complex multiplication.

Modular form 458640.2.a.ny

sage: E.q_eigenform(10)
 
\(q + q^{5} + 5 q^{11} - q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display