Properties

Label 2166.h
Number of curves $1$
Conductor $2166$
CM no
Rank $0$

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

Elliptic curves in class 2166.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2166.h1 2166h1 \([1, 0, 0, -393678, -99641340]\) \(-1100553625/62208\) \(-381401369765284608\) \([]\) \(27360\) \(2.1307\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2166.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2166.h do not have complex multiplication.

Modular form 2166.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + q^{8} + q^{9} - 2q^{11} + q^{12} + 3q^{13} + q^{14} + q^{16} + 4q^{17} + q^{18} + O(q^{20})\)  Toggle raw display