Properties

Label 202860.by
Number of curves $1$
Conductor $202860$
CM no
Rank $0$

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

Elliptic curves in class 202860.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202860.by1 202860h1 \([0, 0, 0, -496272, -134748236]\) \(-615640662016/978075\) \(-21474738892051200\) \([]\) \(2027520\) \(2.0318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202860.by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 202860.by do not have complex multiplication.

Modular form 202860.2.a.by

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