Properties

Label 4598.o
Number of curves $1$
Conductor $4598$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 4598.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4598.o1 4598r1 \([1, -1, 1, 582, 34169]\) \(101871/2432\) \(-521320798592\) \([]\) \(9240\) \(0.92851\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4598.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4598.o do not have complex multiplication.

Modular form 4598.2.a.o

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