Properties

Label 166410.bd
Number of curves $1$
Conductor $166410$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 166410.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.bd1 166410cp1 \([1, -1, 0, -41957439009, -190180315503235]\) \(35506812831189674787/20480000000000000\) \(4711605167391139491840000000000000\) \([]\) \(811399680\) \(5.1508\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410.bd1 has rank \(0\).

Complex multiplication

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

Modular form 166410.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + q^{7} - q^{8} - q^{10} + q^{11} - 2 q^{13} - q^{14} + q^{16} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display