Properties

Label 206400.bd
Number of curves $1$
Conductor $206400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.bd1 206400eb1 \([0, -1, 0, -16513, -843743]\) \(-75988526665/3566592\) \(-23374017331200\) \([]\) \(552960\) \(1.3283\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.bd1 has rank \(1\).

Complex multiplication

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

Modular form 206400.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{7} + q^{9} - 3 q^{11} + q^{13} - 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display