Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 16650q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16650.s1 16650q1 \([1, -1, 0, -27942, -1920844]\) \(-132384574175625/11484004352\) \(-209295979315200\) \([]\) \(61824\) \(1.4922\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16650q1 has rank \(1\).

Complex multiplication

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

Modular form 16650.2.a.q

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