Properties

Label 11200bs
Number of curves $1$
Conductor $11200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 11200bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.d1 11200bs1 \([0, 0, 0, -4000, 100000]\) \(-221184/7\) \(-224000000000\) \([]\) \(23040\) \(0.95411\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200bs1 has rank \(1\).

Complex multiplication

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

Modular form 11200.2.a.bs

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{7} + 6 q^{9} - 3 q^{11} - q^{13} - 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display