Properties

Label 80223.f
Number of curves $1$
Conductor $80223$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 80223.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80223.f1 80223p1 \([1, 0, 0, -910, -11527]\) \(-5692551601/574821\) \(-8415954261\) \([]\) \(44928\) \(0.64447\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80223.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 80223.f do not have complex multiplication.

Modular form 80223.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} + 3 q^{8} + q^{9} - q^{10} - q^{12} + q^{13} + q^{15} - q^{16} - q^{17} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display