Properties

Label 58835c
Number of curves $1$
Conductor $58835$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 58835c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58835.n1 58835c1 \([0, 1, 1, 14, -75]\) \(167936/1715\) \(-2882915\) \([]\) \(11592\) \(-0.079379\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58835c1 has rank \(1\).

Complex multiplication

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

Modular form 58835.2.a.c

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