Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 126852.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126852.f1 126852f1 \([0, -1, 0, 5446, 11584677]\) \(1257728/4084839\) \(-58004954380677744\) \([]\) \(921600\) \(1.8955\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126852.f1 has rank \(0\).

Complex multiplication

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

Modular form 126852.2.a.f

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