Properties

Label 133952bu
Number of curves $1$
Conductor $133952$
CM no
Rank $1$

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

Elliptic curves in class 133952bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133952.n1 133952bu1 \([0, 1, 0, -1268293, -550187421]\) \(13770918300093568000/31622653517\) \(518105555222528\) \([]\) \(1305600\) \(2.0670\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133952bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 133952bu do not have complex multiplication.

Modular form 133952.2.a.bu

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{7} + q^{9} + q^{11} + q^{13} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display