Properties

Label 16650.bb
Number of curves $1$
Conductor $16650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 16650.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16650.bb1 16650be1 \([1, -1, 0, -87, -379]\) \(-804357/296\) \(-26973000\) \([]\) \(4608\) \(0.13612\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16650.bb1 has rank \(1\).

Complex multiplication

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

Modular form 16650.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} + 3 q^{11} - 4 q^{13} - q^{14} + q^{16} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display