Properties

Label 159120.bu
Number of curves $1$
Conductor $159120$
CM no
Rank $1$

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

Elliptic curves in class 159120.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159120.bu1 159120ed1 \([0, 0, 0, -1272963, -1055431262]\) \(-152796558778456322/233895263671875\) \(-349203757500000000000\) \([]\) \(4792320\) \(2.6334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159120.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 159120.bu do not have complex multiplication.

Modular form 159120.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{7} + q^{11} + q^{13} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display