Properties

Label 450072.n
Number of curves $1$
Conductor $450072$
CM no
Rank $1$

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

Elliptic curves in class 450072.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450072.n1 450072n1 \([0, 0, 0, 1878, -137387]\) \(62800480256/735423899\) \(-8577984357936\) \([]\) \(645120\) \(1.1626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450072.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450072.n do not have complex multiplication.

Modular form 450072.2.a.n

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