Properties

Label 11200.w
Number of curves $1$
Conductor $11200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 11200.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.w1 11200cx1 \([0, -1, 0, 27, -1283]\) \(1024/343\) \(-702464000\) \([]\) \(3072\) \(0.37664\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200.w1 has rank \(1\).

Complex multiplication

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

Modular form 11200.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} - 2 q^{9} - q^{11} - q^{13} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display