Properties

Label 236992.by
Number of curves $1$
Conductor $236992$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("by1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 236992.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.by1 236992by1 \([0, 1, 0, -337, -2777]\) \(-340736/49\) \(-610491392\) \([]\) \(73728\) \(0.41650\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 236992.by do not have complex multiplication.

Modular form 236992.2.a.by

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2q^{5} + q^{7} - 2q^{9} - q^{13} + 2q^{15} - 8q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display