Properties

Label 64400.bu
Number of curves $1$
Conductor $64400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 64400.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.bu1 64400w1 \([0, 1, 0, -3473, -197317]\) \(-144814859264/435654247\) \(-13940935904000\) \([]\) \(103936\) \(1.2089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64400.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 64400.bu do not have complex multiplication.

Modular form 64400.2.a.bu

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