Properties

Label 10143.k
Number of curves $1$
Conductor $10143$
CM no
Rank $0$

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

Elliptic curves in class 10143.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10143.k1 10143g1 \([0, 0, 1, 2940, -613125]\) \(1605632000/93710763\) \(-164024666091027\) \([]\) \(16896\) \(1.4072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10143.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10143.k do not have complex multiplication.

Modular form 10143.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + 2 q^{11} - 3 q^{13} + 4 q^{16} - 2 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display