Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 2200.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2200.h1 2200i1 \([0, 1, 0, 32, -32]\) \(13718/11\) \(-2816000\) \([]\) \(192\) \(-0.074549\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2200.h1 has rank \(1\).

Complex multiplication

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

Modular form 2200.2.a.h

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