Properties

Label 16830.n
Number of curves $1$
Conductor $16830$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 16830.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16830.n1 16830a1 \([1, -1, 0, -9195, -601579]\) \(-4368317413923/5475734000\) \(-107778872322000\) \([]\) \(57600\) \(1.3860\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16830.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16830.n do not have complex multiplication.

Modular form 16830.2.a.n

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