Properties

Label 450840ce
Number of curves $1$
Conductor $450840$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 450840ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.ce1 450840ce1 \([0, 1, 0, -99801, -12168741]\) \(-17790954496/195\) \(-1204947444480\) \([]\) \(2419200\) \(1.4724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840ce1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450840ce do not have complex multiplication.

Modular form 450840.2.a.ce

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