Properties

Label 166410.g
Number of curves $1$
Conductor $166410$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 166410.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.g1 166410ce1 \([1, -1, 0, -4218840, -465718464]\) \(974603041/552960\) \(4711605167391139491840\) \([]\) \(12483072\) \(2.8486\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 166410.g do not have complex multiplication.

Modular form 166410.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} + 5 q^{11} + 4 q^{13} - q^{14} + q^{16} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display