Properties

Label 163254dq
Number of curves $1$
Conductor $163254$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dq1")
 
E.isogeny_class()
 

Elliptic curves in class 163254dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
163254.ba1 163254dq1 \([1, 1, 0, -224, -1152]\) \(7406396257/1421952\) \(240309888\) \([]\) \(67200\) \(0.32537\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 163254dq1 has rank \(1\).

Complex multiplication

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

Modular form 163254.2.a.dq

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