GET /update?key=WRITEKEY&field1=2
The method to send it was to use the AT+CIPSEND="data length" command, the line above was then typed in and sent when the ">" symbol appeared. The module lists the data as sent.
Unfortunately I have very little experience with how web interfaces work in general, so I don't know how to troubleshoot this. The fact that the ESP8266 does not seem to receive a response from thingspeak.com when this statement goes through could indicate that the GET statement is actually incorrectly formed, but that's just my guess. I'd appreciate any help or hints on this. Thanks for reading.