Explicit points on the Legendre curve

Explicit points on the Legendre curve III

Explicit points on the Legendre curve

We study the elliptic curve E given by y = x(x+1)(x+ t) over the rational function field k(t) and its extensions Kd = k(μd, t). When k is finite of characteristic p and d = p + 1, we write down explicit points onE and show by elementary arguments that they generate a subgroup Vd of rank d − 2 and of finite index in E(Kd). Using more sophisticated methods, we then show that the Birch and Swinner...

Explicit 4-descents on an Elliptic Curve

It is shown that the obvious method of descending from an element of the 2-Selmer group of an elliptic curve, E, will indeed give elements of order 1, 2 or 4 in the Weil-Chatelet group of E. Explicit algorithms for such a method are given.

the effect of explicit instruction of metacognitive strategies on reading comprehension among iranian high school students

the present study seeks to determine the effect of explicit instruction of metacognitive strategies on iranian high school students’ reading comprehension ability. it also attempts to investigate the relationship between the learners reading comprehension and metacognitive strategies. furthermore, the study investigates whether iranian efl female high school students are high, medium, or low me...

the effect of explicit teaching of metacognitive vocabulary learning strategies on recall and retention of idioms

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