Properties

Label 166600.bs
Number of curves $1$
Conductor $166600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 166600.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166600.bs1 166600bt1 \([0, 0, 0, -111475, 35414750]\) \(-1660932/4913\) \(-453159477008000000\) \([]\) \(4128768\) \(2.0748\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166600.bs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 166600.bs do not have complex multiplication.

Modular form 166600.2.a.bs

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} + 5 q^{11} + 7 q^{13} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display