Properties

Label 5408c
Number of curves $1$
Conductor $5408$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 5408c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5408.j1 5408c1 \([0, -1, 0, -38081, -3067663]\) \(-10816\) \(-564668382613504\) \([]\) \(17472\) \(1.5731\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5408c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5408c do not have complex multiplication.

Modular form 5408.2.a.c

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{5} + q^{9} - 4 q^{11} - 2 q^{15} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display