Database schema:

CREATE TABLE "Community_Area" (
	community_area_no INTEGER -- example: ['2', '1'],
	community_area_name TEXT -- example: ['Rogers Park', 'West Ridge'],
	side TEXT -- example: ['North ', 'Far North '],
	population TEXT -- example: ['71,942', '54,991'],
	PRIMARY KEY (community_area_no)
)


CREATE TABLE "Crime" (
	report_no INTEGER -- example: ['23758', '23757'],
	case_number TEXT -- example: ['JB100159', 'JB100522'],
	date TEXT -- example: ['1/1/2018 2:46', '1/1/2018 11:33'],
	block TEXT -- example: ['039XX W CORNELIA AVE', '026XX N HAMPDEN CT'],
	iucr_no TEXT -- example: ['143B', '110'],
	location_description TEXT -- example: ['APARTMENT', 'AUTO'],
	arrest TEXT -- example: ['FALSE', 'TRUE'],
	domestic TEXT -- example: ['FALSE', 'TRUE'],
	beat INTEGER -- example: ['1935', '1732'],
	district_no INTEGER -- example: ['17', '19'],
	ward_no INTEGER -- example: ['30', '43'],
	community_area_no INTEGER -- example: ['7', '21'],
	fbi_code_no TEXT -- example: ['15', '01A'],
	latitude TEXT -- example: ['41.94456125', '41.92972657'],
	longitude TEXT -- example: ['-87.72668181', '-87.64092074'],
	PRIMARY KEY (report_no), 
	CONSTRAINT fk_crime_ward FOREIGN KEY(ward_no) REFERENCES "Ward" (ward_no),
	CONSTRAINT fk_crime_iucr FOREIGN KEY(iucr_no) REFERENCES "IUCR" (iucr_no),
	CONSTRAINT fk_crime_district FOREIGN KEY(district_no) REFERENCES "District" (district_no),
	CONSTRAINT fk_crime_community_area FOREIGN KEY(community_area_no) REFERENCES "Community_Area" (community_area_no),
	CONSTRAINT fk_crime_fbi_code FOREIGN KEY(fbi_code_no) REFERENCES "FBI_Code" (fbi_code_no)
)


CREATE TABLE "District" (
	district_no INTEGER -- example: ['2', '1'],
	district_name TEXT -- example: ['Central', 'Wentworth'],
	address TEXT -- example: ['1718 South State Street', '5101 South Wentworh Avenue'],
	zip_code INTEGER -- example: ['60616', '60609'],
	commander TEXT -- example: ['Jake M. Alderden', 'Joshua Wallace'],
	email TEXT -- example: ['\xa0CAPS002District@chicagopolice.org', '\xa0CAPS001District@chicagopolice.org'],
	phone TEXT -- example: ['312-747-8366', '312-745-4290'],
	fax TEXT -- example: ['312-747-5396', '312-745-3694'],
	tty TEXT -- example: ['312-747-6656', '312-745-3693'],
	twitter TEXT -- example: ['\xa0ChicagoCAPS01', '\xa0ChicagoCAPS02'],
	PRIMARY KEY (district_no)
)


CREATE TABLE "FBI_Code" (
	fbi_code_no TEXT -- example: ['01B', '01A'],
	title TEXT -- example: ['Involuntary Manslaughter', 'Homicide 1st & 2nd Degree'],
	description TEXT -- example: ['The killing of one human being by another.', 'The killing of another person through negligence.'],
	crime_against TEXT -- example: ['Persons', 'Property'],
	PRIMARY KEY (fbi_code_no)
)


CREATE TABLE "IUCR" (
	iucr_no TEXT -- example: ['031B', '031A'],
	primary_description TEXT -- example: ['HOMICIDE', 'CRIM SEXUAL ASSAULT'],
	secondary_description TEXT -- example: ['FIRST DEGREE MURDER', 'SECOND DEGREE MURDER'],
	index_code TEXT -- example: ['I', 'N'],
	PRIMARY KEY (iucr_no)
)


CREATE TABLE "Neighborhood" (
	neighborhood_name TEXT -- example: ['Albany Park', 'Altgeld Gardens'],
	community_area_no INTEGER -- example: ['54', '14'],
	PRIMARY KEY (neighborhood_name), 
	CONSTRAINT fk_neighborhood_community_area FOREIGN KEY(community_area_no) REFERENCES "Community_Area" (community_area_no)
)


CREATE TABLE "Ward" (
	ward_no INTEGER -- example: ['2', '1'],
	alderman_first_name TEXT -- example: ['Daniel', 'Brian'],
	alderman_last_name TEXT -- example: ['Hopkins', 'La Spata'],
	alderman_name_suffix TEXT -- example: ['Jr.'],
	ward_office_address TEXT -- example: ['1400 N. Ashland', '1958 N. Milwaukee Ave.'],
	ward_office_zip TEXT -- example: ['60647', '60622'],
	ward_email TEXT -- example: ['ward02@cityofchicago.org', 'info@the1stward.com'],
	ward_office_phone TEXT -- example: ['312.643.2299', '872.206.2685'],
	ward_office_fax TEXT -- example: ['312.448.8829', '773.536.7296'],
	city_hall_office_room INTEGER -- example: ['305', '200'],
	city_hall_office_phone TEXT -- example: ['312.744.8734', '312.744.6836'],
	city_hall_office_fax TEXT -- example: ['312.744.6712', '312.744.7738'],
	"Population" INTEGER -- example: ['56149', '55805'],
	PRIMARY KEY (ward_no)
)

Question: Among the cases reported in the ward with Edward Burke as the alderman and happened in the community area with the highest population, provide the report number of the crime with the highest beat.
Evidence: the highest population refers to max(population); report number refers to report_no; the highest beat refers to max(beat)

SQL:
SELECT T2.report_no FROM Ward AS T1 INNER JOIN Crime AS T2 ON T2.ward_no = T1.ward_no INNER JOIN Community_Area AS T3 ON T3.community_area_no = T2.community_area_no WHERE T1.alderman_first_name = 'Edward' AND T1.alderman_last_name = 'Burke' ORDER BY T2.beat DESC, T3.population DESC LIMIT 1