#include <bits/stdc++.h>
using namespace std;
struct edge {
  int v, nxt;
} e[2000005];
int T, n, m, h[500005], t, deg[500005], a[500005], q[500005], head, tail,
    vis[500005], pre[500005];
int dis[500005], tans[500005], tt, b[500005], c[500005];
void print() {
  for (int i = 1; i <= n; i++) c[i] = 0;
  for (int i = 1; i <= tt; i++) c[tans[i]] = 1;
  printf("Yes\n%d\n", n - tt);
  for (int i = 1; i <= n; i++)
    if (!c[i]) printf("%d ", i);
  printf("\n");
}
void add(int u, int v) {
  e[++t].v = v;
  e[t].nxt = h[u];
  h[u] = t;
}
void bfs() {
  while (head < tail) {
    head++;
    int u = q[head];
    for (int i = h[u]; i; i = e[i].nxt) {
      int v = e[i].v;
      if (vis[v]) continue;
      a[v] = a[u];
      vis[v] = 1;
      pre[v] = u;
      dis[v] = dis[u] + 1;
      q[++tail] = v;
    }
  }
}
int solve(int rt) {
  head = 0, tail = 1;
  vis[rt] = 1, dis[rt] = 0;
  q[1] = rt;
  pre[rt] = 0;
  bfs();
  int mn = 1e9, id = 0;
  for (int i = 1; i <= tail; i++) {
    int u = q[i];
    for (int j = h[u]; j; j = e[j].nxt) {
      int v = e[j].v;
      if (pre[u] == v || pre[v] == u || pre[u] == -1 || pre[v] == -1) continue;
      if (dis[u] + dis[v] < mn) {
        mn = dis[u] + dis[v];
        id = j;
      }
    }
  }
  if (!id) return 0;
  int u = e[id ^ 1].v, v = e[id].v;
  while (u) {
    tans[++tt] = u;
    u = pre[u];
  }
  while (v && v != rt) {
    tans[++tt] = v;
    v = pre[v];
  }
  if (tt == n)
    return 0;
  else {
    print();
    return 1;
  }
}
int main() {
  scanf("%d", &T);
  while (T--) {
    scanf("%d%d", &n, &m);
    for (int i = 0; i <= n + 1; i++) h[i] = deg[i] = vis[i] = pre[i] = 0;
    t = 1;
    tt = 0;
    for (int i = 1; i <= m; i++) {
      int u, v;
      scanf("%d%d", &u, &v);
      add(u, v);
      add(v, u);
      deg[u]++, deg[v]++;
    }
    if (n == 1) {
      printf("No\n");
      continue;
    }
    int ct = 0, id = -1;
    for (int i = 1; i <= n; i++) {
      if (deg[i] % 3 == 0) {
        id = i;
        break;
      }
      if (deg[i] % 3 == 1) ct++;
    }
    if (id != -1) {
      tans[++tt] = id;
      print();
      continue;
    }
    if (ct >= 2) {
      head = tail = 0;
      for (int i = 1; i <= n; i++)
        if (deg[i] % 3 == 1) {
          q[++tail] = i;
          a[i] = i;
          vis[i] = 1;
          dis[i] = 0;
          pre[i] = 0;
        }
      bfs();
      int mn = 1e9, id = 0;
      for (int i = 2; i <= t; i += 2) {
        int u = e[i ^ 1].v, v = e[i].v;
        if (a[u] != a[v]) {
          if (dis[u] + dis[v] < mn) {
            mn = dis[u] + dis[v];
            id = i;
          }
        }
      }
      int u = e[id ^ 1].v, v = e[id].v;
      while (u) {
        tans[++tt] = u;
        u = pre[u];
      }
      while (v) {
        tans[++tt] = v;
        v = pre[v];
      }
      if (tt == n)
        printf("No\n");
      else
        print();
      continue;
    }
    if (ct == 0) {
      if (!solve(1)) printf("No\n");
      continue;
    }
    head = 0, tail = 1;
    int rt;
    for (int i = 1; i <= n; i++)
      if (deg[i] % 3 == 1) id = i;
    vis[id] = 1;
    pre[id] = -1;
    for (int i = 1; i <= n; i++)
      if (i != id) {
        rt = i;
        break;
      }
    if (solve(rt)) continue;
    for (int i = 0; i <= n + 1; i++) vis[i] = 0;
    vis[id] = 1;
    int nww = 0;
    for (int i = h[id]; i; i = e[i].nxt) {
      int v = e[i].v;
      if (vis[v]) continue;
      head = 0, tail = 1;
      q[1] = v;
      vis[v] = 1;
      dis[v] = 0;
      pre[v] = 0;
      bfs();
      nww++;
      int ans = 1e9, qq = 0;
      for (int j = 2; j <= tail; j++) {
        int u = q[j];
        for (int k = h[u]; k; k = e[k].nxt) {
          int v = e[k].v;
          if (v == id) {
            if (dis[u] < ans) {
              ans = dis[u];
              qq = u;
            }
          }
        }
      }
      while (qq) {
        tans[++tt] = qq;
        qq = pre[qq];
      }
      if (nww == 2) break;
    }
    tans[++tt] = id;
    if (nww < 2 || tt == n)
      printf("No\n");
    else
      print();
  }
  return 0;
}
