Properties

Label 162240.gq
Number of curves $1$
Conductor $162240$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gq1")
 
E.isogeny_class()
 

Elliptic curves in class 162240.gq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162240.gq1 162240d1 \([0, 1, 0, -225, 11805]\) \(-4096/195\) \(-60238576320\) \([]\) \(161280\) \(0.74846\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162240.gq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 162240.gq do not have complex multiplication.

Modular form 162240.2.a.gq

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