Properties

Label 58835j
Number of curves $1$
Conductor $58835$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 58835j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58835.b1 58835j1 \([0, 1, 1, -303140, -706804856]\) \(-648562364416/45045546875\) \(-213971043249101796875\) \([]\) \(1975680\) \(2.5808\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58835j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 58835j do not have complex multiplication.

Modular form 58835.2.a.j

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} + q^{5} - 2 q^{6} - q^{7} - 2 q^{9} - 2 q^{10} - 3 q^{11} + 2 q^{12} + q^{13} + 2 q^{14} + q^{15} - 4 q^{16} - q^{17} + 4 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display