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See details? Enter max d: Enter max scaling factor for periods: Enter first and last N:
N = 11
Retrieving newform data for N = 11
Finished reading newform data for N = 11
Form number 1
Computing real period via L(f,1): L(f,1) = 0.25384186085591068433776; real period = 0.6346046521397767108444
Minimal periods found: x0 = 0.6346046521397767108444, y0 = 1.4588166169384952293309
Matrix (4,1;11,3): dotplus = 1, dotminus = 1
Searching for scaling factors.
type = 1, nx = 1, ny = 1
w1 = (0.6346046521397767108444,1.4588166169384952293309), w2 = (1.2692093042795534216888,0)
c4 = 496, c6 = 20008
ic4 = 496, ic6 = 20008
Curve is [0,-1,1,-10,-20] N = 11 [(4,1;1,3),1,1;1]
Updated newform data:
aplist = [ -2 -1 1 -2 1 4 -2 0 -1 0 7 3 -8 -6 8 -6 5 12 -7 -3 ...]
aq = [ -1 ]
ap0 = -2, dp0 = 2, np0 = 5
SFE = 1, L/P = 2/5
lplus = 1, mplus = 1
lminus = 3, mminus = 2
[(4,1;1,3),1,1;1]
test reconstruction of curve from updated data:
Finding periods -- via L(f_chi) using twists by 1 and 3
[w_1,w_2] = [(-1.2692093042795534216888,0),(-0.6346046521397767108444,-1.4588166169384952293309)]
tau = (0.5,1.1493901061232523806876) (abs(tau)=1.2534343285765000021164)
w_R = (-1.2692093042795534216888,0) w_IR = (-0.6346046521397767108444,-1.4588166169384952293309)
c4 = 496
c6 = 20008
After rounding:
ic4 = 496
ic6 = 20008
Lattice type checks OK
Real period checks OK
Imag period checks OK
Curve = [0,-1,1,-10,-20] N = 11
Store newform data?
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