Properties

Label 101150bg
Number of curves $1$
Conductor $101150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 101150bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101150.u1 101150bg1 \([1, -1, 0, -276317867, 1767985165541]\) \(-50367487715865/10976\) \(-508445520480887500000\) \([]\) \(13708800\) \(3.3570\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101150bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 101150bg do not have complex multiplication.

Modular form 101150.2.a.bg

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