Wild Galois representations: Elliptic curves over a 2-adic field with non-abelian inertia action
2020 ◽
Vol 16
(06)
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pp. 1199-1208
In this paper, we present a description of the [Formula: see text]-adic Galois representation attached to an elliptic curve defined over a [Formula: see text]-adic field [Formula: see text], in the case where the image of inertia is non-abelian. There are two possibilities for the image of inertia, namely [Formula: see text] and [Formula: see text], and in each case, we need to distinguish whether the inertia degree of [Formula: see text] over [Formula: see text] is even or odd. The results presented here are being implemented in an algorithm to compute explicitly the Galois representation in these four cases.
2005 ◽
Vol 48
(1)
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pp. 16-31
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2019 ◽
Vol 15
(08)
◽
pp. 1547-1563
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2016 ◽
Vol 12
(01)
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pp. 237-248
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