Equations for Modular Curves - Magma

More documents

Recommendations

Info

Definition Modularity Finiteness Results Computationality C /Q is a modular curve of level N if ∃π /Q : X1(N) Departure point Generalization Newness C . In that case, J(C) is modular of level N, since we have J1(N) X1(N) π∗ J(C) π C Enrique González Jiménez Equations for Modular Curves
Definition Modularity Finiteness Results Computationality C /Q is a modular curve of level N if ∃π /Q : X1(N) Departure point Generalization Newness C . In that case, J(C) is modular of level N, since we have J1(N) X1(N) π∗ J(C) π C Enrique González Jiménez Equations for Modular Curves
Page 1 and 2: Modularity Finiteness Results Compu
Page 5 and 6: Theorem Modularity Finiteness Resul
Page 7 and 8: Theorem Modularity Finiteness Resul
Page 9 and 10: Generalization Modularity Finitenes
Page 17 and 18: Definition Modularity Finiteness Re
Page 19: Definition Modularity Finiteness Re
Page 45 and 46: Fact Modularity Finiteness Results
Page 47 and 48: Fact Modularity Finiteness Results
Page 49 and 50: Notation Modularity Finiteness Resu
Page 51 and 52: g = 0 M C 0 = M C new 0 #M C 0 = #M
Page 61 and 62: g = 2 Theorem #M C new 2 < ∞ Modu
Page 63 and 64: Theorem #M C new 2 < ∞ Moreover,
Page 65 and 66: Theorem #M C new 2 < ∞ Moreover,
Page 67 and 68: Theorem #M C new 2 = 213 Moreover,
Page 69 and 70: Theorem #M C new 2 = 213 Moreover,
Page 71 and 72:
Theorem #M C new 2 = 213 Moreover,
Page 73 and 74:
C : y 2 = F(x) Modularity Finitenes
Page 75 and 76:
Page 77 and 78:
Page 79 and 80:
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
g ≥ 2 Theorem Modularity Finitene
Page 89 and 90:
Notation Modularity Finiteness Resu
Page 91 and 92:
Page 93 and 94:
Page 95 and 96:
Conjecture 1 Modularity Finiteness
Page 97 and 98:
Hyperelliptic Curves Definition Mod
Page 99 and 100:
Page 101 and 102:
Page 103 and 104:
Algorithm Modularity Finiteness Res
Page 105 and 106:
Page 107 and 108:
Page 109 and 110:
Page 111 and 112:
Page 113 and 114:
Page 115 and 116:
Algorithm (cont.) Modularity Finite
Page 117 and 118:
Page 119 and 120:
Page 121 and 122:
Modularity Finiteness Results Compu
Page 123 and 124:
Page 125 and 126:
Page 127 and 128:
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Page 139 and 140:
C A 21A {0,2} C : y 2 = F(x) Modula
Page 141 and 142:
C A 21A {0,2} C : y 2 = F(x) Modula
Page 143 and 144:
C A 21A {0,2} C : y 2 = F(x) Modula
Page 145 and 146:
C A 21A {0,2} C : y 2 = F(x) Modula
Page 147 and 148:
C A 21A {0,2} C : y 2 = F(x) Modula
Page 149 and 150:
Conjecture #M C new (2) = 300 Modul
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
Example Modularity Finiteness Resul
Page 157 and 158:
Page 159 and 160:
Page 161 and 162:
Page 163 and 164:
Page 165 and 166:
Page 167 and 168:
Page 169 and 170:
Page 171 and 172:
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
Page 179 and 180:
Page 181 and 182:
Page 183 and 184:
Page 185 and 186:
Page 187 and 188:
C X1(17) : ⎧ ⎨ ⎩ Modularity F
Page 189 and 190:
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
Final Remark k a field, char(k) = 0
Page 197 and 198:
Page 199 and 200:
Page 201 and 202:
Page 203 and 204:
show all

Equations for Modular Curves - Magma

Create successful ePaper yourself

Delete template?

Save as template?