Properties

Label 446400.qo
Number of curves $1$
Conductor $446400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("qo1")
 
E.isogeny_class()
 

Elliptic curves in class 446400.qo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
446400.qo1 446400qo1 \([0, 0, 0, -2930700, 2181206000]\) \(-932288503609/148800000\) \(-444314419200000000000\) \([]\) \(13271040\) \(2.6900\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 446400.qo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 446400.qo do not have complex multiplication.

Modular form 446400.2.a.qo

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + 3 q^{11} - 2 q^{13} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display