Properties

Label 400064bi
Number of curves $1$
Conductor $400064$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 400064bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
400064.bi1 400064bi1 \([0, 1, 0, 835, -40429]\) \(62800480256/735423899\) \(-753074072576\) \([]\) \(344064\) \(0.95988\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 400064bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 400064bi do not have complex multiplication.

Modular form 400064.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} - 2 q^{9} + 4 q^{11} + 4 q^{13} + q^{15} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display