Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 4598p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4598.n1 4598p1 \([1, -1, 1, -375, 2885]\) \(-48077951625/38\) \(-4598\) \([]\) \(648\) \(0.0091126\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4598p1 has rank \(0\).

Complex multiplication

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

Modular form 4598.2.a.p

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