Properties

Label 50150.bn
Number of curves $1$
Conductor $50150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 50150.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50150.bn1 50150w1 \([1, 0, 0, -2213, 39917]\) \(-76711450249/68204\) \(-1065687500\) \([]\) \(53760\) \(0.65729\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50150.bn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 50150.bn do not have complex multiplication.

Modular form 50150.2.a.bn

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + 5 q^{7} + q^{8} - 2 q^{9} - 2 q^{11} + q^{12} + 4 q^{13} + 5 q^{14} + q^{16} - q^{17} - 2 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display