Properties

Label 166800.bb
Number of curves $1$
Conductor $166800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 166800.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166800.bb1 166800cg1 \([0, -1, 0, -22808, 1346112]\) \(-82013318212/911979\) \(-14591664000000\) \([]\) \(718848\) \(1.3408\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166800.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 166800.bb do not have complex multiplication.

Modular form 166800.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{3} + 5 q^{7} + q^{9} - 5 q^{11} + q^{13} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display