Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4598.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4598.l1 4598o1 \([1, 1, 1, -272, 2289]\) \(-18396908233/9961472\) \(-1205338112\) \([]\) \(1824\) \(0.44630\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4598.l1 has rank \(1\).

Complex multiplication

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

Modular form 4598.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 2 q^{5} - q^{6} - 3 q^{7} + q^{8} - 2 q^{9} + 2 q^{10} - q^{12} + 2 q^{13} - 3 q^{14} - 2 q^{15} + q^{16} + 2 q^{17} - 2 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display