Properties

Label 247744.o
Number of curves $1$
Conductor $247744$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 247744.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
247744.o1 247744o1 \([0, -1, 0, -11041, -416863]\) \(4826809/316\) \(9745749508096\) \([]\) \(506880\) \(1.2421\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 247744.o1 has rank \(2\).

Complex multiplication

The elliptic curves in class 247744.o do not have complex multiplication.

Modular form 247744.2.a.o

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