Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 80223m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80223.n1 80223m1 \([1, 0, 1, -110113, 15232325]\) \(-5692551601/574821\) \(-14909376346571421\) \([]\) \(494208\) \(1.8434\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80223m1 has rank \(0\).

Complex multiplication

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

Modular form 80223.2.a.m

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