Properties

Label 17640.bu
Number of curves $1$
Conductor $17640$
CM no
Rank $1$

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

Elliptic curves in class 17640.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17640.bu1 17640cr1 \([0, 0, 0, 94668, 35160244]\) \(12459008/78125\) \(-588355590060000000\) \([]\) \(188160\) \(2.0915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17640.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17640.bu do not have complex multiplication.

Modular form 17640.2.a.bu

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{11} - q^{13} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display