Properties

Label 202800hk
Number of curves $1$
Conductor $202800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hk1")
 
E.isogeny_class()
 

Elliptic curves in class 202800hk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202800.kn1 202800hk1 \([0, 1, 0, 197167, 574743963]\) \(351232/59319\) \(-143160741535500000000\) \([]\) \(9676800\) \(2.5468\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202800hk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 202800hk do not have complex multiplication.

Modular form 202800.2.a.hk

sage: E.q_eigenform(10)
 
\(q + q^{3} + 5 q^{7} + q^{9} + 5 q^{11} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display