Properties

Label 216384.gq
Number of curves $1$
Conductor $216384$
CM no
Rank $1$

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

Elliptic curves in class 216384.gq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.gq1 216384bg1 \([0, 1, 0, 1307, -181231]\) \(1605632000/93710763\) \(-14399970685632\) \([]\) \(304128\) \(1.2045\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384.gq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 216384.gq do not have complex multiplication.

Modular form 216384.2.a.gq

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - 2 q^{11} + 3 q^{13} + 2 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display