Properties

Label 163254.m
Number of curves $1$
Conductor $163254$
CM no
Rank $0$

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

Elliptic curves in class 163254.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
163254.m1 163254di1 \([1, 1, 0, -192832, -49313792]\) \(-972115190761/721115136\) \(-588235769813293056\) \([]\) \(2018016\) \(2.1090\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 163254.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 163254.m do not have complex multiplication.

Modular form 163254.2.a.m

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