Properties

Label 365296.n
Number of curves $1$
Conductor $365296$
CM no
Rank $0$

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

Elliptic curves in class 365296.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
365296.n1 365296n1 \([0, -1, 0, -16280, -747536]\) \(4826809/316\) \(31242124509184\) \([]\) \(946176\) \(1.3392\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 365296.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 365296.n do not have complex multiplication.

Modular form 365296.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 3 q^{7} - 2 q^{9} + 4 q^{11} - 7 q^{13} - q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display