Properties

Label 11200bk
Number of curves $1$
Conductor $11200$
CM no
Rank $0$

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

Elliptic curves in class 11200bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.dh1 11200bk1 \([0, 0, 0, -11500, 513200]\) \(-1026590625/100352\) \(-16441671680000\) \([]\) \(50688\) \(1.2768\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200bk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11200bk do not have complex multiplication.

Modular form 11200.2.a.bk

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{7} + 6 q^{9} + 5 q^{11} + 6 q^{13} - q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display