Properties

Label 340032.bu
Number of curves $1$
Conductor $340032$
CM no
Rank $0$

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

Elliptic curves in class 340032.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
340032.bu1 340032bu1 \([0, -1, 0, -833, 10209]\) \(-244140625/21252\) \(-5571084288\) \([]\) \(178176\) \(0.61426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 340032.bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 340032.bu do not have complex multiplication.

Modular form 340032.2.a.bu

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