Timeline for Does this space of mod 2 modular forms admit a (Z/8)* degree decomposition?

5 events

when toggle format	what		by	license	comment
Aug 12, 2013 at 15:45	history	edited	paul Monsky	CC BY-SA 3.0	New results on the FURTHER QUESTION obtained.
Jun 1, 2013 at 17:35	history	edited	paul Monsky	CC BY-SA 3.0	A further related question is asked.
May 25, 2013 at 1:19	comment	added	paul Monsky		Here's what happens when N=11. There's a weight 2 cusp form corresponding to an elliptic curve; let t in Z/2[[x]] be the reduction(of its expansion). Let f1 be x+x^9+x^25+... and f11 be f1(x^11). Then t+t^3=f1+f11, and there is a weight 4 Eisenstein series whose reduction r satisfies r+r^2=t+t^3. Let m5=t^4(f1), m7=t^4(f11), (t^8)m1=(r^8)(f1) and (t^8)m3=(1+r^8)f11.(One checks that m1=(r^2)(t+t^5+t^7)+t+t^5, and that m3=(r^2)(t+t^5+t^7)+t^7, so that the m_i are all in M.) Since m5+m7=t^4(t+t^3) the m_i sum to t. I admit this doesn't give much insight!
May 24, 2013 at 20:00	comment	added	Will Sawin		What about the modular form of an elliptic curve with some arbitrary mod 2 galois representation? Where should we look for forms that split it into $M_1$, $M_3$, $M_5$, and $M_7$ pieces?
May 23, 2013 at 21:28	history	asked	paul Monsky	CC BY-SA 3.0