000			01899cam a2200337 a 4500
003			EG-GiCUC
005			20250223032010.0
008			180528s2017 ua d f m 000 0 eng d
040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aM.Sc
099			_aCai01.12.17.M.Sc.2017.Mo.E
100	0		_aMohamed Mohamed Alaa Eldin Mostafa
245	1	0	_aElliptic Surfaces with positive Mordell-Weil rank and Quadratic twists of elliptic curves / _cMohamed Mohamed Alaa Eldin Mostafa ; Supervised Nabil L. Youssef , Mohammad M. Sadek
246	1	5	_aأسطح ناقصية ذات رتبة موجبة و الإنحرافات التربيعية للمنحنيات الناقصية
260			_aCairo : _bMohamed Mohamed Alaa Eldin Mostafa , _c2017
300			_a51 P. : _bcharts ; _c25cm
502			_aThesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics
520			_aIn 1922, Mordell proved that the group of rational points {u1D438}({u211A}), of an elliptic curve {u1D438}, is a finitely generated abelian group. While the finite part is well understood, the infinite part is much more mysterious. In this thesis we aim to deepen our understanding of the arithmetic of the group of rational points of elliptic curves by discussing certain arithmetic questions on elliptic curves. We investigate the existence of high length geometric progressions on elliptic and hyperelliptic curves. Moreover, we study ranks of quadratic twists of pairs of elliptic curves
530			_aIssued also as CD
653		4	_aElliptic curves
653		4	_aElliptic surfaces
653		4	_aGeometric progression
700	0		_aMohammad Mohammad Sadek , _eSupervisor
700	0		_aNabil Labib Youssef , _eSupervisor
856			_uhttp://172.23.153.220/th.pdf
905			_aEnas _eCataloger
905			_aNazla _eRevisor
942			_2ddc _cTH
999			_c66353 _d66353