Properties

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

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Show commands: SageMath
E = EllipticCurve("kn1")
 
E.isogeny_class()
 

Elliptic curves in class 202800kn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202800.fn1 202800kn1 \([0, -1, 0, -1459033, 678830437]\) \(-17790954496/195\) \(-3764911020000000\) \([]\) \(3870720\) \(2.1429\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202800kn1 has rank \(1\).

Complex multiplication

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

Modular form 202800.2.a.kn

sage: E.q_eigenform(10)
 
\(q - q^{3} + 5 q^{7} + q^{9} + q^{11} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display