Properties

Label 126852.k
Number of curves $1$
Conductor $126852$
CM no
Rank $0$

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

Elliptic curves in class 126852.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126852.k1 126852j1 \([0, 1, 0, -158885, -63297048]\) \(-32505856/107811\) \(-1471216570200826416\) \([]\) \(1874880\) \(2.1723\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126852.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 126852.k do not have complex multiplication.

Modular form 126852.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{7} + q^{9} + q^{11} - 4 q^{13} + q^{15} + 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display