Properties

Label 5166.m
Number of curves $1$
Conductor $5166$
CM no
Rank $0$

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

Elliptic curves in class 5166.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5166.m1 5166h1 \([1, -1, 0, -189, -59]\) \(1027243729/587776\) \(428488704\) \([]\) \(2640\) \(0.34604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5166.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5166.m do not have complex multiplication.

Modular form 5166.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} + 6 q^{11} - 4 q^{13} + q^{14} + q^{16} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display