Properties

Label 20808.bg
Number of curves $1$
Conductor $20808$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 20808.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20808.bg1 20808w1 \([0, 0, 0, -58956, 5679428]\) \(-27648\) \(-819679402347264\) \([]\) \(121856\) \(1.6333\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20808.bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20808.bg do not have complex multiplication.

Modular form 20808.2.a.bg

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