References
P. Bayer andG. Frey, Galois representations of octahedral type and 2-coverings of elliptic curves. Math. Z.207, 395–408 (1991).
B. J.Birch and W.Kuyk, Modular functions of one variable IV, LNM476, Berlin-Heidelberg-New York 1975.
M.Bungert, Konstruktion von Modulformen niedrigen Gewichts. Dissertation, Saarbrücken 1990.
P. Deligne andJ.-P. Serre, Formes modulaires de poids 1. Ann. Sci. École Norm. Sup. (4)7, 507–530 (1974).
M.Eichler, Quadratische Formen und orthogonale Gruppen (zweite Auflage). Berlin-Heidelberg-New York 1974.
G. Frey, Der Rang der Lösungen vony 2=x 3±p 3 über 2e. Manuscripta Math.48, 71–101 (1984).
J. L. Lehman, Rational points on elliptic curves with complex multiplication by the ring of integers in 2e(√−7). J. Number Theory27, 253–272 (1987).
W. Li, Newforms and functional equations. Math. Ann.212, 285–315 (1975).
B.Schoeneberg, Elliptic Modular Functions. Berlin-Heidelberg-New York 1974.
R. Schulze-Pillot. Thetareihen positiv definiter quadratischer Formen. Invent. Math.75, 283–299 (1984).
J.-P.Serre, Modular forms of weight one and Galois representations. In: Algebraic Number Fields, A. Fröhlich, ed. London-New York-San Francisco 1977.
G. Shimura, On modular forms of half integral weight. Ann. of Math.97, 440–481 (1973).
J. B. Tunnell, A classical diophantine problem and modular forms of weight 3/2. Invent. Math.72, 323–334 (1983).
B. L.van der Waerden, Die Reduktionstheorie der positiven quadratischen Formen. In: Studien zur Theorie der quadratischen Formen, B. L. van der Waerden und H. Gross, eds. Basel-Stuttgart 1968.
J. L. Waldspurger, Sur les coefficients de Fourier des formes modulaires de poids demi-entier. J. Math. Pures Appl.60, 375–484 (1981).
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Bungert, M. Construction of a cuspform of weight 3/2. Arch. Math 60, 530–534 (1993). https://doi.org/10.1007/BF01236077
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DOI: https://doi.org/10.1007/BF01236077