The standard grips this chord is usually shown with.
Emaj7 is E, G#, B and D#, a major seventh. The shape this page opens on is written 021100, lowest string first.

Also written EM7, EΔ7, EΔ, Ema7 or E major 7. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 8 common shapes for Emaj7 on the guitar, and 29 derived voicings in 3 families.
In which keys. Every note of Emaj7 belongs to C# minor (the ♭III), E major (the I), Ab minor (the ♭VI) and B major (the IV).
The common shapes, written lowest string first: 021100, xx2444, x76444, x7685x, x79897, x-x-x-9-9-11, x-x-9-9-9-11, 12-14-13-13-12-12.
Shell. Root, third and seventh: the guide tones fix the quality, so the fifth is dropped. That is what leaves a string free, so pick a tension to put on top. Emaj7 has 066xxx, x768xx, 12-11-13-x-x-x, 0x11xx, x7x89x, 12-x-13-13-x-x.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. Emaj7 has xx1100, 0211xx, xx2444, x6645x, 7768xx, x7989x, x-x-9-9-9-11, 11-11-9-9-x-x.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. Emaj7 has x2x140, 0x110x, 4x244x, x6x454, 7x685x, x7x897, x-11-x-9-12-11, 11-x-9-9-9-x.
Tensions. A shell of Emaj7, root, third and seventh, leaves a string free, and the tones that belong over it are the 9 (F#), the #11 (A#) and the 13 (C#).
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.