Properties

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

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

Elliptic curves in class 93058p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93058.p1 93058p1 \([1, -1, 1, -976152, 266454175]\) \(14746340891601/4145004892\) \(28914548718350401372\) \([]\) \(7461504\) \(2.4412\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93058p1 has rank \(1\).

Complex multiplication

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

Modular form 93058.2.a.p

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