Properties

Label 206910bb
Number of curves $1$
Conductor $206910$
CM no
Rank $1$

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

Elliptic curves in class 206910bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206910.ff1 206910bb1 \([1, -1, 1, -51932, 4876831]\) \(-11993263569/972800\) \(-1256340040243200\) \([]\) \(1576960\) \(1.6435\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206910bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 206910bb do not have complex multiplication.

Modular form 206910.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + 5 q^{7} + q^{8} + q^{10} + q^{13} + 5 q^{14} + q^{16} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display