The Belyi maps in the Galois orbit of size 2 is defined on an elliptic curve over the real quadratic field \(\mathbb{Q}(\sqrt{70})\) with conductor norm 13230. The maps in the orbit of size 6 are defined on an elliptic curve with conductor norm 882000.
,(1,2,7,3)(5,6),(1,2,3)(4,5)(6,7).png "(1,2,3,6,4,5,7)_(1,2,7,3)(5,6)_(1,2,3)(4,5)(6,7)")
,(1,4,2,6)(5,7),(1,2,3)(4,5)(6,7).png "(1,7,4,3,2,5,6)_(1,4,2,6)(5,7)_(1,2,3)(4,5)(6,7)")
,(1,4,3,7)(2,5),(1,2,3)(4,5)(6,7).png "(1,6,7,2,4,3,5)_(1,4,3,7)(2,5)_(1,2,3)(4,5)(6,7)")
,(1,6,2,7)(3,5),(1,2,3)(4,5)(6,7).png "(1,6,3,4,5,2,7)_(1,6,2,7)(3,5)_(1,2,3)(4,5)(6,7)")
,(2,7,4,6)(3,5),(1,2,3)(4,5)(6,7).png "(1,3,4,6,5,2,7)_(2,7,4,6)(3,5)_(1,2,3)(4,5)(6,7)")
,(2,6,4,7)(3,5),(1,3,2)(4,5)(6,7).png "(1,7,2,5,6,4,3)_(2,6,4,7)(3,5)_(1,3,2)(4,5)(6,7)")
,(1,2,5,6)(3,7),(1,2,3)(4,5)(6,7).png "(1,7,2,3,6,4,5)_(1,2,5,6)(3,7)_(1,2,3)(4,5)(6,7)")
,(1,6,5,2)(3,7),(1,3,2)(4,5)(6,7).png "(1,5,4,6,3,2,7)_(1,6,5,2)(3,7)_(1,3,2)(4,5)(6,7)")