Elliptic curves and local ϵ-factors
Compositio Mathematica, Volume 46 (1982) no. 3, pp. 307-352.
@article{CM_1982__46_3_307_0,
     author = {Kramer, K. and Tunnell, J.},
     title = {Elliptic curves and local $\epsilon $-factors},
     journal = {Compositio Mathematica},
     pages = {307--352},
     publisher = {Martinus Nijhoff Publishers},
     volume = {46},
     number = {3},
     year = {1982},
     zbl = {0496.14030},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1982__46_3_307_0/}
}
TY  - JOUR
AU  - Kramer, K.
AU  - Tunnell, J.
TI  - Elliptic curves and local $\epsilon $-factors
JO  - Compositio Mathematica
PY  - 1982
SP  - 307
EP  - 352
VL  - 46
IS  - 3
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1982__46_3_307_0/
LA  - en
ID  - CM_1982__46_3_307_0
ER  - 
%0 Journal Article
%A Kramer, K.
%A Tunnell, J.
%T Elliptic curves and local $\epsilon $-factors
%J Compositio Mathematica
%D 1982
%P 307-352
%V 46
%N 3
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1982__46_3_307_0/
%G en
%F CM_1982__46_3_307_0
Kramer, K.; Tunnell, J. Elliptic curves and local $\epsilon $-factors. Compositio Mathematica, Volume 46 (1982) no. 3, pp. 307-352. http://archive.numdam.org/item/CM_1982__46_3_307_0/

[1] A. Brumer and K. Kramer: The rank of elliptic curves. Duke Math J. 44(4) (1972) 715-743. | MR | Zbl

[2] B. BIRCH and W. KUYK Editors: Modular functions of one variable IV. Lecture Notes in Math. 475, Springer-Verlag 1975. | MR | Zbl

[3] P. Deligne: Formes modulaires et representations de GL(2), in Modular functions of one variable II. Lecture Notes in Math. 349, Springer-Verlag 1973, 55-106. | MR | Zbl

[4] P. Deligne: Les constantes des equations fonctionelles des fonctions L, in Modular functions of one variable II. Lecture Notes in Math. 349, Springer-Verlag 1973, 501-579. | MR | Zbl

[5] P. Deligne: Les constantes locales de l'equation fonctionelle de la fonction L d'Artin d'une representation orthogonale. Inv. Math. 35 (1976) 299-316. | EuDML | MR | Zbl

[6] A. Frohlich and J. Queyrut: On the functional equation of the Artin L-function for characters of real representations. Inv. Math. 20 (1973) 125-138. | EuDML | MR | Zbl

[7] K. Kramer: Two descent for elliptic curves in characteristic two. Trans. AMS 232 (1977) 279-295. | MR | Zbl

[8] K. Kramer: Arithmetic of elliptic curves upon quadratic extension. Trans. AMS. 264 (1981) 121-135. | MR | Zbl

[9] S. Lang: Algebraic groups over finite fields. Amer. J. Math. 78, no. 3 (1956) 555-563. | MR | Zbl

[10] R. Langlands: Modular forms and l-adic representations, in Modular functions of one variable II. Lecture Notes in Math. 349, Springer-Verlag 1973, 361-500. | MR | Zbl

[11] B. Mazur: Rational points of Abelian varieties with values in towers of number fields. Inv. Math. 18 (1972) 183-266. | MR | Zbl

[12] J. Milne: Weil-Châtelet groups over local fields. Ann. Sci. Ecole Norm. Sup. 4 (1970) 273-284. | Numdam | MR | Zbl

[13] A. Ogg: Elliptic curves and wild ramification. Amer. J. Math. (1967) 1-21. | MR | Zbl

(14) J-P. Serre ! Corps Locaux, 2nd Edition, Hermann, Paris 1968. | MR

[15] J-P. Serre and J. Tate: Good reduction of abelian varieties. Annals of Math. 88 (1968) 492-517. | MR | Zbl

[16] J. Tate: The arithmetic of elliptic curves. Inv. Math. 23 (1974) 179-206. | MR | Zbl

[17] J. Tate: Algorithm for determining the type of a singular fiber in an elliptic pencil, in Modular functions of one variable IV. Lecture Notes in Math. 476, Springer-Verlag 1975. | MR

[18] J. Tate: Number theoretic background, in Automorphic Forms, Representations and L-functions, Proc. Symp. in Pure Math. XXXIII Part 2 (1979) 3-26. | MR | Zbl