Properties

Label 11200.s
Number of curves $1$
Conductor $11200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 11200.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.s1 11200bg1 \([0, -1, 0, -33, 1537]\) \(-200/49\) \(-1003520000\) \([]\) \(3840\) \(0.40647\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200.s1 has rank \(2\).

Complex multiplication

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

Modular form 11200.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} - 2 q^{9} - 3 q^{11} - 2 q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display