Modes in the P1 Version of the C Scale
Using the P1 C Major scale, we can extract the 7 modes.
In this position, the lowest tone is E, so this scale is sometimes referred to as the Phrygian pattern for C Major. We have choices for how we think about scale forms/patterns and what there names are.
Just keep in mind that for any pattern, all of the derivative modes live within it.
Over time, we develop our own organizational system which works best for our soloing frameworks. Example: my guitarist friend Joe always thinks of F Lydian when he sees G7. This is a thinking method (choice, personal preference) he’s developed because he digs the results (sound, fingerings). We can think any way which suits our intent. And, only experience will build these types of views.