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

Yes

Yes. At Q6_K it needs 10.34 GB of the 11.2 GB available and generates around 31 tokens per second at an 8k context window.

The numbers

Gemma 4 12B Instruct has 11.96 billion parameters across 48 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 13.05 GB no
Q6_K 10.34 GB yes 31 t/s
Q5_K_M 9.13 GB yes 35.6 t/s
Q4_K_M 7.94 GB yes 41.6 t/s
IQ4_XS 7.13 GB yes 46.9 t/s
Q3_K_M 6.66 GB yes 50.7 t/s
IQ3_XXS degraded 5.47 GB yes 63.7 t/s
Q2_K degraded 5.88 GB yes 58.6 t/s
IQ2_XXS degraded 4.08 GB yes 91 t/s

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

How long a conversation it holds

At Q6_K, 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 32k tokens.

ContextCacheTotalFits
4k 0.38 GB 10.23 GB yes
8k 0.38 GB 10.34 GB yes
16k 0.38 GB 10.58 GB yes
32k 0.38 GB 11.05 GB yes
64k 0.38 GB 11.99 GB no
128k 0.38 GB 13.86 GB no

See how fast it feels

GeForce RTX 3060 12GB running Gemma 4 12B Instruct at Q6_K

Wait for the first word632 ms
Then writes at31 tok/s
Whole answer6.2 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 2.7 s.

Keep going

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