Properties

Label 16900.n
Number of curves $1$
Conductor $16900$
CM no
Rank $0$

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

Elliptic curves in class 16900.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16900.n1 16900d1 \([0, 1, 0, -758, 1613]\) \(1141504/625\) \(26406250000\) \([]\) \(13824\) \(0.69046\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16900.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16900.n do not have complex multiplication.

Modular form 16900.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{3} + 5 q^{7} - 2 q^{9} + 5 q^{11} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display