Properties

Label 16650s
Number of curves $1$
Conductor $16650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 16650s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16650.q1 16650s1 \([1, -1, 0, -17172, 870426]\) \(30727911305065/161838\) \(2949497550\) \([]\) \(34944\) \(1.0128\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16650s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16650s do not have complex multiplication.

Modular form 16650.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 6 q^{11} + 5 q^{13} + q^{16} - 7 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display