81:
71:
53:
22:
150:
The last list item in the "Equivalent conditions" section uses a bad definition of Hasse invariant. The correct definition of Hasse invariant is: H = the differential of the
Verschiebung isogeny. This yields a modular form of weight p-1 that has zeroes of order one at the supersingular points of a
213:
supersingular elliptic curves must be defined over a field of positive characteristic, it doesn't make sense to solve the polynomial in R. In fact, the J-invariant for an elliptic curve over F_p is defined in F_p^2, so the polynomial in the reference should be solved mod 37^2, not on the reals.
212:
I think there is an issue with the table of J-invariants at the end of the article. The reference cited does not claim that the J-invariants for 37 are the values quoted, it lists the polynomial. If that polynomial was defined over the reals, the roots would be as claimed. However, since
151:
modular curve. If you pull back to the lambda-line (away from characteristic 2), the resulting function is equal to the polynomial in lambda described in the list entry. The bad definition carries strictly less information than the correct one, and does not work well in families.
193:
133:
230:
127:
103:
225:
197:
94:
58:
170:
154:
The page has been edited to address the (justified) concern above and no longer attempts to define the Hasse invariant.
33:
39:
80:
189:
158:
21:
102:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
86:
70:
52:
166:
201:
174:
219:
186:
It looks like the characteristic 2 curve listed there is actually a singular one?
162:
99:
76:
15:
98:, a collaborative effort to improve the coverage of
132:This article has not yet received a rating on the
8:
187:
47:
49:
19:
194:2605:E000:8517:9700:30EB:BCD3:53F:BFCF
231:Unknown-priority mathematics articles
7:
92:This article is within the scope of
38:It is of interest to the following
14:
112:Knowledge:WikiProject Mathematics
115:Template:WikiProject Mathematics
79:
69:
51:
20:
1:
106:and see a list of open tasks.
226:C-Class mathematics articles
247:
202:01:02, 29 June 2017 (UTC)
131:
64:
46:
175:01:02, 26 May 2011 (UTC)
134:project's priority scale
95:WikiProject Mathematics
28:This article is rated
208:Table of J-invariants
118:mathematics articles
87:Mathematics portal
34:content assessment
204:
192:comment added by
178:
161:comment added by
148:
147:
144:
143:
140:
139:
238:
182:Characteristic 2
177:
155:
120:
119:
116:
113:
110:
89:
84:
83:
73:
66:
65:
55:
48:
31:
25:
24:
16:
246:
245:
241:
240:
239:
237:
236:
235:
216:
215:
210:
184:
156:
117:
114:
111:
108:
107:
85:
78:
32:on Knowledge's
29:
12:
11:
5:
244:
242:
234:
233:
228:
218:
217:
209:
206:
183:
180:
146:
145:
142:
141:
138:
137:
130:
124:
123:
121:
104:the discussion
91:
90:
74:
62:
61:
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
243:
232:
229:
227:
224:
223:
221:
214:
207:
205:
203:
199:
195:
191:
181:
179:
176:
172:
168:
164:
160:
152:
135:
129:
126:
125:
122:
105:
101:
97:
96:
88:
82:
77:
75:
72:
68:
67:
63:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
211:
188:— Preceding
185:
157:— Preceding
153:
149:
93:
40:WikiProjects
109:Mathematics
100:mathematics
59:Mathematics
220:Categories
190:unsigned
171:contribs
159:unsigned
163:Frobitz
30:C-class
36:scale.
198:talk
167:talk
128:???
222::
200:)
173:)
169:•
196:(
165:(
136:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
