Properties

Label 133200bu
Number of curves $1$
Conductor $133200$
CM no
Rank $0$

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

Elliptic curves in class 133200bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.u1 133200bu1 \([0, 0, 0, -468075, 125572250]\) \(-243087455521/5328000\) \(-248583168000000000\) \([]\) \(1548288\) \(2.1271\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 133200bu do not have complex multiplication.

Modular form 133200.2.a.bu

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 5 q^{11} + 2 q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display