diff --git a/prover/src/tables/ecdas.rs b/prover/src/tables/ecdas.rs
index 6b457d226..e2eaed9f3 100644
--- a/prover/src/tables/ecdas.rs
+++ b/prover/src/tables/ecdas.rs
@@ -8,7 +8,7 @@
 //! bus (an add follows). ECSM seeds and drains the bus; interior rows telescope.
 //!
 //! See `spec/src/ecdas.toml`. Constraints are **unconditional**; padding rows set quotients
-//! to 0 and `op = 1`. The `R·P` term in the λ and xR relations is gated with `μ`, so it
+//! to 0 and `op = 1`. The `R·P` term in the λ, xR, and yR relations is gated with `μ`, so it
 //! vanishes on padding rows (μ=0) and all relations hold with zero carries.
 
 use stark::lookup::{BusInteraction, BusValue, LinearTerm, Multiplicity, Packing};
diff --git a/prover/src/tables/ecsm.rs b/prover/src/tables/ecsm.rs
index 6c3af31ae..ab0654c9a 100644
--- a/prover/src/tables/ecsm.rs
+++ b/prover/src/tables/ecsm.rs
@@ -28,7 +28,7 @@ pub(crate) const CARRY_OFFSET_X2: i64 = 8160;
 pub(crate) const CARRY_OFFSET_YG: i64 = 16319;
 
 // =========================================================================
-// Column indices (~427 columns)
+// Column indices (667 columns; keep in sync with NUM_COLUMNS below)
 // =========================================================================
 
 pub mod cols {
@@ -741,13 +741,17 @@ impl EcsmConstraints {
                 // Σ (yG_j·yG_{i-j} + µ·P_j·P_{i-j} − x2_j·xG_{i-j} − q1_j·P_{i-j}) − µ·b_i
                 // Both the p² offset and the curve constant b are µ-gated: they vanish on
                 // padding rows (µ=0), so all columns (including q1) can pad to zero.
+                // Factor µ out of the p² sum (µ·ΣP_j·P_{i-j}) as ECDAS `rq()` does, so µ
+                // is applied once per limb instead of once per term.
                 let mu = b.main(0, cols::MU);
+                let mut p2 = b.zero();
                 for j in 0..=i {
                     s = s + byte(cols::YG, 32, j) * byte(cols::YG, 32, i - j);
-                    s = s + mu.clone() * (Self::p_byte_expr(b, j) * Self::p_byte_expr(b, i - j));
+                    p2 = p2 + Self::p_byte_expr(b, j) * Self::p_byte_expr(b, i - j);
                     s = s - byte(cols::X2, 32, j) * byte(cols::XG, 32, i - j);
                     s = s - byte(cols::Q1, 33, j) * Self::p_byte_expr(b, i - j);
                 }
+                s = s + mu.clone() * p2;
                 if i == 0 {
                     let curve_b = b.const_base(B);
                     s = s - mu * curve_b;