diff --git a/src/sage/modular/quasimodform/element.py b/src/sage/modular/quasimodform/element.py
index c1edff5a0b6..de8b13e2373 100644
--- a/src/sage/modular/quasimodform/element.py
+++ b/src/sage/modular/quasimodform/element.py
@@ -96,7 +96,6 @@ def __init__(self, parent, polynomial):
                 raise ValueError("at least one coefficient is not a 'GradedModularFormElement'")
         self._polynomial = polynomial
         self._coefficients = polynomial.coefficients(sparse=False)
-        self.__base_ring = parent.base_ring()
         ModuleElement.__init__(self, parent)
 
     def q_expansion(self, prec=6):
@@ -114,7 +113,7 @@ def q_expansion(self, prec=6):
             sage: E2.q_expansion(prec=10)
             1 - 24*q - 72*q^2 - 96*q^3 - 168*q^4 - 144*q^5 - 288*q^6 - 192*q^7 - 360*q^8 - 312*q^9 + O(q^10)
         """
-        E2 = eisenstein_series_qexp(2, prec=prec, K=self.__base_ring, normalization='constant') #normalization -> to force integer coefficients
+        E2 = eisenstein_series_qexp(2, prec=prec, K=self.base_ring(), normalization='constant') #normalization -> to force integer coefficients
         return sum(f.q_expansion(prec=prec)*E2**idx for idx, f in enumerate(self._coefficients))
 
     qexp = q_expansion # alias
@@ -318,7 +317,4 @@ def is_modular_form(self):
             sage: (QM.1 + QM.2).is_modular_form() # mixed weight components
             False
         """
-        if not self._polynomial.degree():
-            return self._polynomial[0].is_modular_form()
-        else:
-            return False
+        return not self._polynomial.degree() and self._polynomial[0].is_modular_form()
diff --git a/src/sage/modular/quasimodform/ring.py b/src/sage/modular/quasimodform/ring.py
index e6841a9b8c1..0e75f3811a2 100644
--- a/src/sage/modular/quasimodform/ring.py
+++ b/src/sage/modular/quasimodform/ring.py
@@ -164,7 +164,6 @@ def __init__(self, group=1, base_ring=QQ, name='E2'):
             raise NotImplementedError("base ring other than Q are not yet supported for quasimodular forms ring")
 
         self.__group = group
-        self.__base_ring = base_ring
         self.__modular_forms_subring = ModularFormsRing(group, base_ring)
         self.__polynomial_subring = self.__modular_forms_subring[name]
         Parent.__init__(self, base=base_ring, category=GradedAlgebras(base_ring))
@@ -191,21 +190,6 @@ def group(self):
         """
         return self.__group
 
-    def base_ring(self):
-        r"""
-        Return the coefficient ring of this quasimodular forms ring.
-
-        EXAMPLES::
-
-            sage: QuasiModularForms(1).base_ring()
-            Rational Field
-            sage: QuasiModularForms(1, GF(5))
-            Traceback (most recent call last):
-            ...
-            NotImplementedError: base ring other than Q are not yet supported for quasimodular forms ring
-        """
-        return self.__base_ring
-
     def modular_forms_subring(self):
         r"""
         Return the subring of modular forms of this ring of quasimodular forms.