Properties

Label 47190.bg
Number of curves $1$
Conductor $47190$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 47190.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47190.bg1 47190be1 \([1, 0, 1, -2148, 38146]\) \(-822920371811/505440\) \(-672740640\) \([]\) \(33600\) \(0.63667\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47190.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 47190.bg do not have complex multiplication.

Modular form 47190.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - q^{10} + q^{12} - q^{13} + q^{14} + q^{15} + q^{16} + 2 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display