Properties

Label 2200.d
Number of curves $1$
Conductor $2200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 2200.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2200.d1 2200b1 \([0, -1, 0, 792, -5588]\) \(13718/11\) \(-44000000000\) \([]\) \(960\) \(0.73017\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2200.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2200.d do not have complex multiplication.

Modular form 2200.2.a.d

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