Properties

Label 86190.r
Number of curves $1$
Conductor $86190$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 86190.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
86190.r1 86190m1 \([1, 1, 0, 59823, -54061509]\) \(29024858759/1566018750\) \(-1277449604037018750\) \([]\) \(1597440\) \(2.1540\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 86190.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 86190.r do not have complex multiplication.

Modular form 86190.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + 2 q^{7} - q^{8} + q^{9} - q^{10} - 5 q^{11} - q^{12} - 2 q^{14} - q^{15} + q^{16} - q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display