Properties

Label 206400.k
Number of curves $1$
Conductor $206400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.k1 206400cs1 \([0, -1, 0, -2083, -55463]\) \(-40000000/31347\) \(-783675000000\) \([]\) \(288000\) \(0.98089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 206400.k do not have complex multiplication.

Modular form 206400.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + q^{11} + 5 q^{13} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display