Properties

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

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 11200.dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.dd1 11200ce1 \([0, 0, 0, 50, -250]\) \(13824/35\) \(-35000000\) \([]\) \(4608\) \(0.13136\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200.dd1 has rank \(0\).

Complex multiplication

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

Modular form 11200.2.a.dd

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