Properties

Label 93058k
Number of curves $1$
Conductor $93058$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 93058k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93058.n1 93058k1 \([1, 0, 0, -276868, 11976208]\) \(336473394625/185801728\) \(1296107786646658048\) \([]\) \(1468800\) \(2.1660\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93058k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93058k do not have complex multiplication.

Modular form 93058.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + q^{8} - 2 q^{9} + 4 q^{11} + q^{12} - 4 q^{13} - q^{14} + q^{16} - 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display