Properties

Label 443822.o
Number of curves $1$
Conductor $443822$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 443822.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443822.o1 443822o1 \([1, 0, 0, -9890, 355688]\) \(4826809/316\) \(7003938116764\) \([]\) \(1211392\) \(1.2146\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443822.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443822.o do not have complex multiplication.

Modular form 443822.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - 3 q^{7} + q^{8} - 2 q^{9} + q^{10} + 4 q^{11} + q^{12} - 7 q^{13} - 3 q^{14} + q^{15} + q^{16} - 4 q^{17} - 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display