Properties

Label 16731j
Number of curves $1$
Conductor $16731$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 16731j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16731.g1 16731j1 \([0, 0, 1, 1014, 1732]\) \(5537792/3267\) \(-68022105723\) \([]\) \(10368\) \(0.76796\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16731j1 has rank \(1\).

Complex multiplication

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

Modular form 16731.2.a.j

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