Properties

Label 8550.h
Number of curves $1$
Conductor $8550$
CM no
Rank $1$

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

Elliptic curves in class 8550.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8550.h1 8550o1 \([1, -1, 0, 8883, 1533541]\) \(272199695/3735552\) \(-1063756800000000\) \([]\) \(30720\) \(1.5641\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8550.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8550.h do not have complex multiplication.

Modular form 8550.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - q^{11} - 4 q^{13} + q^{16} + 4 q^{17} - q^{19} + O(q^{20})\)  Toggle raw display