no. 3
Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields
Compositio Mathematica, Tome 51 (1984) no. 3, pp. 275-324
corrigé par Addendum and errata “Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields” 
@article{CM_1984__51_3_275_0,
     author = {Cremona, J. E.},
     title = {Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields},
     journal = {Compositio Mathematica},
     pages = {275--324},
     year = {1984},
     publisher = {Martinus Nijhoff Publishers},
     volume = {51},
     number = {3},
     mrnumber = {743014},
     zbl = {0546.14027},
     language = {en},
     url = {https://www.numdam.org/item/CM_1984__51_3_275_0/}
}
TY  - JOUR
AU  - Cremona, J. E.
TI  - Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields
JO  - Compositio Mathematica
PY  - 1984
SP  - 275
EP  - 324
VL  - 51
IS  - 3
PB  - Martinus Nijhoff Publishers
UR  - https://www.numdam.org/item/CM_1984__51_3_275_0/
LA  - en
ID  - CM_1984__51_3_275_0
ER  - 
%0 Journal Article
%A Cremona, J. E.
%T Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields
%J Compositio Mathematica
%D 1984
%P 275-324
%V 51
%N 3
%I Martinus Nijhoff Publishers
%U https://www.numdam.org/item/CM_1984__51_3_275_0/
%G en
%F CM_1984__51_3_275_0
Cremona, J. E. Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields. Compositio Mathematica, Tome 51 (1984) no. 3, pp. 275-324. https://www.numdam.org/item/CM_1984__51_3_275_0/

[1] A.O.L. Atkin and J. Lehner: Hecke operators on Γ0(m). Math. Ann. 185 (1970) 134-160. | Zbl

[2] A.F. Beardon: The geometry of discrete groups. In: Discrete Groups and Automorphic Functions, Academic Press, London 1977. | MR

[3] L. Bianchi: Sui Gruppi di Sostituzioni Lineari con Coefficienti appartenenti a Corpi quadratici immaginari. Math. Ann. 40 (1892) 332-412. | MR | JFM

[4] J.E. Cremona: Modular Symbols, Oxford D. Phil. Thesis 1981.

[5] P. Gérardin and J.P. Labesse: Base change problem for GL(2). In: Automorphic Forms, Representations and L-Functions, Proc. Symp. Pure Math. XXXIII(2), ed. A. Borel and W. Casselman. | Zbl

[6] F. Grunewald: personal communication, November 1981.

[7] F. Grunewald, A.-C. Gushoff and J. Mennicke, Komplex - quadratische Zahlkörper kleiner Diskriminante und Pflasterungen des dreidimensionalen hyperbolischen Raumes, preprint. | Zbl | MR

[8] J. Elstrodt, F. Grunewald and J. Mennicke, On the group PSL2(Z[i]). In: Lect. Notes 60, London Math. Soc. 1981.

[9] F. Grunewald, H. Helling and J. Mennicke: SL2(D) over complex quadratic numberfields I. Algebra i Logica 17 (1978) 512-580. | Zbl | MR

[10] F. Grunewald and J. Mennicke: SL2(D) and Elliptic Curves. Preprint, Bielefeld 1978.

[11] F. Grunewald and J. Schwermer: Arithmetic quotients of hyperbolic 3-space, cusp forms, and link complements. Duke Math. J. 48 (1981) 351-358. | Zbl | MR

[12] A. Hatcher: Hyperbolic Structures of Arithmetic type on some link complements. Preprint. | Zbl | MR

[13] H. Jacquet and R.P. Langlands: Automorphic forms on GL(2). Lect. Notes Math. 114, Berlin-Heidelberg -New York, 1970. | Zbl | MR

[14] P.F. Kurčanov: Cohomology of discrete groups and Dirichlet series connected with Jacquet-Langlands cusp forms. Math. USSR Izv. 12 (1978) No. 3, 543-555. | Zbl

[15] J.I. Manin: Parabolic points and zeta functions of modular curves. Math. USSR Izv. 6 (1972) No. 1, 19-64. | Zbl | MR

[16] T. Miyake: On automorphic forms on GL2 and Hecke operators. Ann. Math. 94 (1971) 174-189. | Zbl | MR

[17] R.J. Stroeker: Elliptic Curves defined over Imaginary Quadratic Fields, Amsterdam Doctoral Thesis 1975. | Zbl | MR

[18] R.G. Swan: Generators and relations for certain special linear groups. Advances in Math. 6 (1971) 1-77. | Zbl | MR

[19] J. Tate: Algorithm for determining the singular fiber in an elliptic pencil. In: Modular Functions of one Variable IV. Lect. Notes Math. 476 Berlin -Heidelberg-New York 1975. | MR

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

[21] D.J. Tingley: Elliptic Curves uniformized by Modular Functions, Oxford D. Phil. Thesis 1975.

[22] A. Weil: Über die Bestimmung Dirichletscher Reihen durch Functionalgleichungen. Math. Ann. 168 (1967) 149-156. | Zbl | MR

[23] A. Weil: Dirichlet series and automorphic forms. Lect. Notes Math. 189, Berlin- Heidelberg-New York 1971. | Zbl

[24] A. Weil: Zeta functions and Mellin transforms. Colloquium on Algebraic Geometry, Bombay 1968, 409-426. | Zbl | MR