Properties

Label 16758bn
Number of curves $1$
Conductor $16758$
CM no
Rank $1$

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

Elliptic curves in class 16758bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16758.w1 16758bn1 \([1, -1, 1, 587812, 138900255]\) \(628805222251722551/597713542447104\) \(-21350925449753001984\) \([]\) \(451584\) \(2.3961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16758bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16758bn do not have complex multiplication.

Modular form 16758.2.a.bn

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