Properties

Label 2800.k
Number of curves $1$
Conductor $2800$
CM no
Rank $1$

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

Elliptic curves in class 2800.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.k1 2800k1 \([0, -1, 0, 167, -19963]\) \(1024/343\) \(-171500000000\) \([]\) \(1920\) \(0.83479\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2800.k do not have complex multiplication.

Modular form 2800.2.a.k

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