Properties

Label 16905n
Number of curves $1$
Conductor $16905$
CM no
Rank $0$

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

Elliptic curves in class 16905n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16905.n1 16905n1 \([0, -1, 1, 1429265, 1479379131]\) \(2744564518708084736/9629735831296875\) \(-1132928790816246046875\) \([]\) \(449280\) \(2.7229\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16905n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16905n do not have complex multiplication.

Modular form 16905.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + q^{5} + q^{9} + q^{11} + 2 q^{12} - q^{15} + 4 q^{16} - 2 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display