Properties

Label 206856by
Number of curves $1$
Conductor $206856$
CM no
Rank $0$

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

Elliptic curves in class 206856by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206856.v1 206856by1 \([0, 0, 0, 18252, -237276]\) \(27648/17\) \(-413466466892544\) \([]\) \(449280\) \(1.4938\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206856by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 206856by do not have complex multiplication.

Modular form 206856.2.a.by

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