Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 11200bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.br1 11200bc1 \([0, 0, 0, -500, 5000]\) \(-34560/7\) \(-2800000000\) \([]\) \(5760\) \(0.53522\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200bc1 has rank \(0\).

Complex multiplication

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

Modular form 11200.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{7} - 3 q^{9} + 5 q^{11} - 6 q^{13} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display