diff --git a/build/pkgs/ecm/checksums.ini b/build/pkgs/ecm/checksums.ini
index f2221539308..3f78010aaf2 100644
--- a/build/pkgs/ecm/checksums.ini
+++ b/build/pkgs/ecm/checksums.ini
@@ -1,4 +1,4 @@
 tarball=ecm-VERSION.tar.gz
-sha1=f35d225d1d44f9b8ad420bf9b50a92582f681337
-sha256=c721dd22e557c4a5dac9ac7e156a400cd2298812dd1f9b56e89966de01471ba8
-upstream_url=https://gitlab.inria.fr/zimmerma/ecm/uploads/89f6f0d65d3e980cef33dc922004e4b2/ecm-VERSION.tar.gz
+sha1=257e1c327cd6de1097b7036c7ec358fe3dbfa4ad
+sha256=7d20ece61ab6a20ad85f2c18064cabd77dc46a96ff894b5220dbb16e4666e8a5
+upstream_url=https://gitlab.inria.fr/zimmerma/ecm/uploads/ad3e5019fef98819ceae58b78f4cce93/ecm-VERSION.tar.gz
diff --git a/build/pkgs/ecm/package-version.txt b/build/pkgs/ecm/package-version.txt
index 2be8aeb6b14..024b4b9b53a 100644
--- a/build/pkgs/ecm/package-version.txt
+++ b/build/pkgs/ecm/package-version.txt
@@ -1 +1 @@
-7.0.5
+7.0.6
diff --git a/src/sage/interfaces/ecm.py b/src/sage/interfaces/ecm.py
index ae1379861f2..1d887064a76 100644
--- a/src/sage/interfaces/ecm.py
+++ b/src/sage/interfaces/ecm.py
@@ -509,7 +509,6 @@ def _find_factor(self, n, factor_digits, B1, **kwds):
         """
         n = self._validate(n)
         kwds.setdefault('c', 1000000000)
-        kwds.setdefault('I', 1)
         if factor_digits is not None:
             B1 = self.recommended_B1(factor_digits)
         kwds['one'] = True
diff --git a/src/sage/libs/libecm.pyx b/src/sage/libs/libecm.pyx
index a3b457d2e31..7df776b5d44 100644
--- a/src/sage/libs/libecm.pyx
+++ b/src/sage/libs/libecm.pyx
@@ -150,11 +150,13 @@ def ecmfactor(number, double B1, verbose=False, sigma=0):
     Some special cases::
 
         sage: ecmfactor(1, 100)
-        (True, 1, ...)
+        Traceback (most recent call last):
+        ...
+        ValueError: Input number (1) must be greater than 1
         sage: ecmfactor(0, 100)
         Traceback (most recent call last):
         ...
-        ValueError: Input number (0) must be positive
+        ValueError: Input number (0) must be greater than 1
     """
     cdef mpz_t n, f
     cdef int res
@@ -165,8 +167,8 @@ def ecmfactor(number, double B1, verbose=False, sigma=0):
     sage_int_number = Integer(number)
     sage_int_sigma = Integer(sigma)
 
-    if number <= 0:
-        raise ValueError("Input number (%s) must be positive"%number)
+    if number <= 1:
+        raise ValueError("Input number (%s) must be greater than 1"%number)
 
     if verbose:
         print("Performing one curve with B1=%1.0f" % B1)