Properties

Label 49686br
Number of curves $1$
Conductor $49686$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 49686br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
49686.y1 49686br1 \([1, 0, 1, -6003898, -3966747718]\) \(249395415529/73513818\) \(7055114026355156228922\) \([]\) \(6289920\) \(2.8981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 49686br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 49686br do not have complex multiplication.

Modular form 49686.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 4 q^{5} - q^{6} - q^{8} + q^{9} + 4 q^{10} - 3 q^{11} + q^{12} - 4 q^{15} + q^{16} + 5 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display