Properties

Label 271440.n
Number of curves $1$
Conductor $271440$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 271440.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271440.n1 271440n1 \([0, 0, 0, 428037, 455842762]\) \(5809117569025678/63486938311875\) \(-94785491004122880000\) \([]\) \(7188480\) \(2.5142\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271440.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 271440.n do not have complex multiplication.

Modular form 271440.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} + q^{11} + q^{13} + 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display