Properties

Label 87120.bu
Number of curves $1$
Conductor $87120$
CM no
Rank $1$

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

Elliptic curves in class 87120.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.bu1 87120u1 \([0, 0, 0, -152823, 22996897]\) \(-2311381447936/234375\) \(-40024833750000\) \([]\) \(365568\) \(1.6436\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 87120.bu do not have complex multiplication.

Modular form 87120.2.a.bu

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