Properties

Label 33488.f
Number of curves $1$
Conductor $33488$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 33488.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33488.f1 33488e1 \([0, 1, 0, -317073, 68614891]\) \(13770918300093568000/31622653517\) \(8095399300352\) \([]\) \(163200\) \(1.7204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33488.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 33488.f do not have complex multiplication.

Modular form 33488.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} + q^{11} - q^{13} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display