Properties

Label 22743.o
Number of curves $1$
Conductor $22743$
CM no
Rank $0$

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

Elliptic curves in class 22743.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22743.o1 22743e1 \([1, -1, 0, -3858, 127213]\) \(-13851/7\) \(-3209893414749\) \([]\) \(38304\) \(1.1046\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22743.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22743.o do not have complex multiplication.

Modular form 22743.2.a.o

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