Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 4598.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4598.g1 4598e1 \([1, -1, 0, 5, -27]\) \(101871/2432\) \(-294272\) \([]\) \(840\) \(-0.27043\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4598.g1 has rank \(0\).

Complex multiplication

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

Modular form 4598.2.a.g

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