Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 11200.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.q1 11200dh1 \([0, 1, 0, -33, -137]\) \(-6400/7\) \(-4480000\) \([]\) \(2304\) \(-0.028993\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200.q1 has rank \(0\).

Complex multiplication

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

Modular form 11200.2.a.q

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} + 5 q^{11} - 8 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display