Properties

Label 206400dy
Number of curves $1$
Conductor $206400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dy1")
 
E.isogeny_class()
 

Elliptic curves in class 206400dy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.x1 206400dy1 \([0, -1, 0, -6925633, -7055220863]\) \(-71751706663500872/503130234375\) \(-257602680000000000000\) \([]\) \(9805824\) \(2.7498\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400dy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 206400dy do not have complex multiplication.

Modular form 206400.2.a.dy

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