Properties

Label 16650bf
Number of curves $1$
Conductor $16650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 16650bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16650.x1 16650bf1 \([1, -1, 0, -1311867, 579041541]\) \(-175362106452317/131292576\) \(-186938062312500000\) \([]\) \(230400\) \(2.2474\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16650bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16650bf do not have complex multiplication.

Modular form 16650.2.a.bf

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