Properties

Label 392784bg
Number of curves $1$
Conductor $392784$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 392784bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.bg1 392784bg1 \([0, -1, 0, -44704, -2324384]\) \(119552942/40581\) \(3353783758166016\) \([]\) \(2186240\) \(1.6813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 392784bg do not have complex multiplication.

Modular form 392784.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + q^{9} - 2 q^{11} + 4 q^{13} - 3 q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display