Properties

Label 16650n
Number of curves $1$
Conductor $16650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 16650n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16650.f1 16650n1 \([1, -1, 0, -41021442, -101116930284]\) \(-670206957616537490521/6109179936768\) \(-69587377717248000000\) \([]\) \(1589760\) \(2.9720\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16650n1 has rank \(0\).

Complex multiplication

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

Modular form 16650.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{7} - q^{8} - 5 q^{11} - 3 q^{13} + 3 q^{14} + q^{16} + 3 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display