Properties

Label 58835m
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 58835m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58835.e1 58835m1 \([0, 0, 1, -82, 297]\) \(-36274176/1715\) \(-2882915\) \([]\) \(18648\) \(0.0023240\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 58835.2.a.m

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