Torsion group Z/5Z, rank = 10

Kursat Vurusan (2026)

y2 + xy + y = x3 + x2 - 29436569732164484368403862136681522070928575x 
         + 66578523588857628218117271085059555239635370511268679613502820517

	Torsion points: 

O, [4007149590857028187387, -113866497958048099978872270676094], 
[4007149590857028187387, 113866497954040950388015242488706], 
[-1246249571360770746213, -318320967641263034217056230236894], 
[-1246249571360770746213, 318320967642509283788417000983106]

	Independent points of infinite order: 

P1 = [598257687511665891931, 221770135982920220322871794875074]
P2 = [-1842223425898084070613, -338459964744663908246915595529294]
P3 = [-6021039877691635942463, -159803002246498078063387647806894]
P4 = [10674543906448695969147, 984213872985348266953656399012866]
P5 = [1965578550169251758787, 127720962915271878483588518653106]
P6 = [1555350305274365561595, 156706465909028953318992380859266]
P7 = [15470754460779068099835, 1820441870860554320867594813145986]
P8 = [1170383190928118125627, 183656321266561850419072935050946]
P9 = [856813514077821167515, 204904574920320870787228530465826]
P10 = [-2002433120688355392453, -342774055021945222755230787842814]