from shapely.geometry import LineString

line1 = LineString([(0,0), (2,2)])
line2 = LineString([(0,2), (2,0)])
print(line1.intersection(line2))

POINT (1 1)

import fiona
from shapely.geometry import LineString

sch = {}
sch["properties"] = {}
sch["geometry"] = "LineString"
file = fiona.open("d:/tmp/test.gpkg", "w", driver="GPKG", schema=sch,)

line1 = LineString([(0,0), (2,2)])
line2 = LineString([(0,2), (2,0)])
print(line1.intersection(line2))

LINESTRING (2 2, 0 0)

Traceback (most recent call last):
  File "test2.py", line 11, in <module>
    print(line1.intersection(line2))
  File "C:OSGEO4~1appsPython37libsite-packagesshapelygeometrybase.py", line 620, in intersection
    return geom_factory(self.impl['intersection'](self, other))
  File "C:OSGEO4~1appsPython37libsite-packagesshapelytopology.py", line 65, in __call__
    self._validate(other, stop_prepared=True)
  File "C:OSGEO4~1appsPython37libsite-packagesshapelytopology.py", line 19, in _validate
    if stop_prepared and not hasattr(ob, 'type'):
  File "C:OSGEO4~1appsPython37libsite-packagesshapelygeometrybase.py", line 352, in type
    return self.geometryType()
  File "C:OSGEO4~1appsPython37libsite-packagesshapelygeometrybase.py", line 348, in geometryType
    return geometry_type_name(self._geom)
  File "C:OSGEO4~1appsPython37libsite-packagesshapelygeometrybase.py", line 70, in geometry_type_name
    return GEOMETRY_TYPES[lgeos.GEOSGeomTypeId(g)]
OSError: exception: access violation reading 0x0000000000000000