In this note, we construct explicit bases for spaces of overconvergent$p$-adic modular forms when $p=2,3$ and study their stability under the Atkinoperator. The resulting extension of the algorithms of Lauder is illustratedwith computations of slope sequences of some $2$-adic eigencurves and theconstruction of Chow-Heegner points on elliptic curves via special values ofRankin triple product L-functions.
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机译：在本说明中，我们为$ p = 2,3 $时过度收敛的$ p $ -adic模块化形式的空间构造了显式基础，并研究了在Atkinoperator下的稳定性。通过对$ 2 $ -adic特征曲线的斜率序列进行计算以及通过Rankin三乘积L函数的特殊值构造椭圆曲线上的Chow-Heegner点，说明了Lauder算法的结果扩展。
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