Properties

Label 58835.m
Number of curves $1$
Conductor $58835$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 58835.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58835.m1 58835f1 \([0, -1, 1, 22974, -5476029]\) \(167936/1715\) \(-13694146767942515\) \([]\) \(475272\) \(1.7774\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58835.m1 has rank \(1\).

Complex multiplication

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

Modular form 58835.2.a.m

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