Properties

Label 18480.bu
Number of curves $1$
Conductor $18480$
CM no
Rank $1$

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

Elliptic curves in class 18480.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18480.bu1 18480cm1 \([0, 1, 0, -2101, -120541]\) \(-250523582464/1369738755\) \(-5610449940480\) \([]\) \(28800\) \(1.1304\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18480.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18480.bu do not have complex multiplication.

Modular form 18480.2.a.bu

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