Properties

Label 132600bt
Number of curves $1$
Conductor $132600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 132600bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132600.ce1 132600bt1 \([0, 1, 0, -8, 1008]\) \(-1250/8619\) \(-441292800\) \([]\) \(47616\) \(0.33769\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132600bt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 132600bt do not have complex multiplication.

Modular form 132600.2.a.bt

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{7} + q^{9} + 4 q^{11} - q^{13} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display