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Using the ratios conjectures as introduced by Conrey, Farmer and Zirnbauer,we obtain closed formulas for the one-level density for two families ofL-functions attached to elliptic curves. From those closed formulas, we candetermine the underlying symmetry types of the families. The one-level scalingdensity for the first family corresponds to the orthogonal distribution aspredicted by the conjectures of Katz and Sarnak, and the one-level scalingdensity for the second family is the sum of the Dirac distribution and the evenorthogonal distribution. This seems to be a new phenomenon, caused by the factthat the curves of the second families have odd rank. Then, there is a trivialzero at the central point which accounts for the Dirac distribution, and alsoaffects the remaining part of the scaling density which is then (maybesurprisingly) the even orthogonal distribution. The one-level density for thissecond family was studied in the past for test functions with Fouriertransforms of small support, but since the Fourier transforms of the evenorthogonal and odd orthogonal distributions are undistinguishable for smallsupport, it was not possible to identify the distribution with thosetechniques. This can be done with the ratios conjectures, and it sheds morelight on "independent" and "non-independent" zeroes and the repulsionphenomenon.

One-level density of families of elliptic curves and the Ratios Conjectures