Puzzle 7T6-7_7_3.1.1.1.1

These pictures each describe a Belyi map from a torus to a sphere. The torus has a different “elliptic curve” structure in each orbit. One of the elliptic curves has an unusually small conductor. Can you guess which orbit it belongs to?

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The elliptic curve with a small conductor belongs to orbit A.

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A
A
B
B
B