Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 16830.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16830.q1 16830v1 \([1, -1, 0, -1485, 22405]\) \(-496981290961/89760\) \(-65435040\) \([]\) \(9600\) \(0.50340\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16830.q1 has rank \(1\).

Complex multiplication

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

Modular form 16830.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 3 q^{7} - q^{8} + q^{10} + q^{11} - 3 q^{14} + q^{16} - q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display