Properties

Label 166410.bg
Number of curves $1$
Conductor $166410$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 166410.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.bg1 166410bt1 \([1, -1, 0, 790101, 1386874143]\) \(6401711/101250\) \(-862720672740076811250\) \([]\) \(7397376\) \(2.6978\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 166410.bg do not have complex multiplication.

Modular form 166410.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 2 q^{7} - q^{8} - q^{10} + 5 q^{11} - 2 q^{14} + q^{16} - 5 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display