Properties

Label 20328j
Number of curves $1$
Conductor $20328$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 20328j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.r1 20328j1 \([0, 1, 0, -19521, 876291]\) \(123904/21\) \(139439594654976\) \([]\) \(59136\) \(1.4348\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20328j do not have complex multiplication.

Modular form 20328.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} - q^{15} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display