Properties

Label 16731.i
Number of curves $1$
Conductor $16731$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 16731.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16731.i1 16731f1 \([0, 0, 1, 171366, 3805753]\) \(5537792/3267\) \(-328329712102727907\) \([]\) \(134784\) \(2.0504\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16731.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16731.i do not have complex multiplication.

Modular form 16731.2.a.i

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