Properties

Label 2200.k
Number of curves $1$
Conductor $2200$
CM no
Rank $0$

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

Elliptic curves in class 2200.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2200.k1 2200g1 \([0, 0, 0, -100, 500]\) \(-27648/11\) \(-44000000\) \([]\) \(864\) \(0.17551\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2200.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2200.k do not have complex multiplication.

Modular form 2200.2.a.k

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 2 q^{7} + 6 q^{9} - q^{11} + 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display