Properties

Label 16830bn
Number of curves $1$
Conductor $16830$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 16830bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16830.cq1 16830bn1 \([1, -1, 1, -17, 129]\) \(-19034163/239360\) \(-6462720\) \([]\) \(3584\) \(-0.011459\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16830bn1 has rank \(1\).

Complex multiplication

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

Modular form 16830.2.a.bn

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