Properties

Label 58443.g
Number of curves $1$
Conductor $58443$
CM no
Rank $1$

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

Elliptic curves in class 58443.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58443.g1 58443i1 \([1, 1, 1, 2632413, 559632162]\) \(9411184794706607/6074987633001\) \(-1302227551098933031881\) \([]\) \(2720256\) \(2.7404\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58443.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58443.g do not have complex multiplication.

Modular form 58443.2.a.g

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