Gamma 1(N)

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:modular_subgroup
gptkbp:actsOn upper half-plane
gptkbp:contains gptkb:Gamma_0(N)
Gamma(N)
gptkbp:defines matrices in SL_2(Z) congruent to (1 *; 0 1) mod N
gptkbp:hasSubgroup gptkb:SL_2(Z)
gptkbp:index_in_SL_2(Z) N^2 * product over primes p dividing N of (1 - 1/p^2)
gptkbp:notation Γ_1(N)
gptkbp:relatedTo gptkb:modular_curves
modular forms
gptkbp:used_in theory of elliptic curves with torsion structure
gptkbp:bfsParent gptkb:Modular_group
gptkbp:bfsLayer 8
https://www.w3.org/2000/01/rdf-schema#label Gamma 1(N)