Properties

Label 286650.o
Number of curves $1$
Conductor $286650$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 286650.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.o1 286650o1 \([1, -1, 0, -33777, 2136861]\) \(4772330903305/570306048\) \(509297558515200\) \([]\) \(1762560\) \(1.5529\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 286650.o do not have complex multiplication.

Modular form 286650.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 5 q^{11} - q^{13} + q^{16} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display