Properties

Label 436800qk
Number of curves $1$
Conductor $436800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("qk1")
 
E.isogeny_class()
 

Elliptic curves in class 436800qk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
436800.qk1 436800qk1 \([0, 1, 0, -12033, -587937]\) \(-47045881/8736\) \(-35782656000000\) \([]\) \(1075200\) \(1.3252\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 436800qk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 436800qk do not have complex multiplication.

Modular form 436800.2.a.qk

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} - 3 q^{11} - q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display