Properties

Label 200400bk
Number of curves $1$
Conductor $200400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 200400bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.n1 200400bk1 \([0, -1, 0, -1934658, -989250813]\) \(3203292069784493824/160501025390625\) \(40125256347656250000\) \([]\) \(5474304\) \(2.5202\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400bk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 200400bk do not have complex multiplication.

Modular form 200400.2.a.bk

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 2 q^{11} - q^{13} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display