Can an RTX 3060 12GB run Gemma 4 E4B Instruct?

Yes

Yes. At Q8_0 it needs 8.72 GB of the 11.2 GB available and generates around 37.1 tokens per second at an 8k context window.

The numbers

Gemma 4 E4B Instruct has 8 billion parameters across 42 layers. The GeForce RTX 3060 12GB has 12 GB of VRAM at 360 GB/s, of which about 11.2 GB is left for a model once the operating system has taken its share.

QuantisationTotal neededFitsSpeed
Q8_0 8.72 GB yes 37.1 t/s
Q6_K 6.91 GB yes 48 t/s
Q5_K_M 6.1 GB yes 55.3 t/s
Q4_K_M 5.3 GB yes 65 t/s
IQ4_XS 4.76 GB yes 73.8 t/s
Q3_K_M 4.44 GB yes 80.2 t/s
IQ3_XXS degraded 3.65 GB yes 102.1 t/s
Q2_K degraded 3.92 GB yes 93.4 t/s
IQ2_XXS degraded 2.72 GB yes 150.6 t/s

9 of the 9 levels fit. Levels marked degraded are listed for completeness, not as advice.

How long a conversation it holds

At Q8_0, memory rises with the length of the conversation because the attention cache keeps a key and value for every token. The longest window that still fits on this device is 128k tokens.

ContextCacheTotalFits
4k 0.04 GB 8.64 GB yes
8k 0.04 GB 8.72 GB yes
16k 0.04 GB 8.87 GB yes
32k 0.04 GB 9.18 GB yes
64k 0.04 GB 9.81 GB yes
128k 0.04 GB 11.06 GB yes

See how fast it feels

GeForce RTX 3060 12GB running Gemma 4 E4B Instruct at Q8_0

Wait for the first word423 ms
Then writes at37.1 tok/s
Whole answer5.1 s

YouWhy does my model use more memory when the conversation gets longer?

Model

Because of the KV cache. Every token you send leaves behind a key and a value vector in each layer of the model, and those stay in memory for as long as the conversation lasts.

The weights are a fixed cost: load a 4-bit 8B model and that is about 4.8 GB, whether you write one word or ten thousand. The cache is the part that grows, and it grows in a straight line with the number of tokens in the window.

How steeply depends on the model's attention design. With grouped-query attention, several query heads share one key-value pair, which cuts the cache by that ratio. Without it, every head keeps its own, and a long context can cost more memory than the weights themselves.

If you are short on memory, the first thing to try is lowering the context window in your runtime, not the quantisation.

Simulated from our estimate at a 512-token question, not a recording. Assumes nothing else is competing for the GPU. The same answer on RTX 4090 at Q8_0 would take about 1.7 s.

Keep going

Everything the GeForce RTX 3060 12GB runs, the full breakdown for Gemma 4 E4B Instruct, or check a different pairing in the calculator.