Properties

Label 166635.bz
Number of curves $1$
Conductor $166635$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 166635.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166635.bz1 166635ca1 \([0, 0, 1, -42573, -3245697]\) \(22128056725504/1004653125\) \(387435435778125\) \([]\) \(1228800\) \(1.5613\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166635.bz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 166635.bz do not have complex multiplication.

Modular form 166635.2.a.bz

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - q^{5} - q^{7} - 2 q^{10} + 5 q^{11} - 4 q^{13} - 2 q^{14} - 4 q^{16} + 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display