Properties

Label 221067p
Number of curves $1$
Conductor $221067$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 221067p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221067.o1 221067p1 \([0, 0, 1, -19988958, 33501393450]\) \(5652299539972096/168301718109\) \(26300109645918330825141\) \([]\) \(12418560\) \(3.0788\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221067p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 221067p do not have complex multiplication.

Modular form 221067.2.a.p

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} - q^{7} + 4 q^{13} + 4 q^{16} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display