Properties

Label 327990.bg
Number of curves $1$
Conductor $327990$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 327990.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.bg1 327990bg1 \([1, 1, 1, 6870, -190473]\) \(42637720316519/43875000000\) \(-36898875000000\) \([]\) \(1010880\) \(1.2901\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 327990.bg do not have complex multiplication.

Modular form 327990.2.a.bg

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + 3q^{7} + q^{8} + q^{9} + q^{10} + q^{11} - q^{12} - q^{13} + 3q^{14} - q^{15} + q^{16} - 2q^{17} + q^{18} + O(q^{20})\)  Toggle raw display