Properties

Label 20400.j
Number of curves $1$
Conductor $20400$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 20400.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20400.j1 20400b1 \([0, -1, 0, -8, 387]\) \(-256/255\) \(-63750000\) \([]\) \(4608\) \(0.17656\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20400.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20400.j do not have complex multiplication.

Modular form 20400.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 3 q^{11} - 4 q^{13} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display