Cremona's table of elliptic curves

127100 = 2² · 5² · 31 · 41

Class	r	Atkin-Lehner	Eigenvalues
127100a (1 curve)	0	2- 5+ 31+ 41+	2-  2 5+  5  3  6  2  4
Curve Equation t 127100a1 [0,-1,0,-278133,56559137] 1
127100b (2 curves)	1	2- 5- 31+ 41+	2-  2 5-  4  4  6 -6  0
Curve Equation t Generators 127100b1 [0,-1,0,-71333,-7301338] 2 [40746:1555642:27] 127100b2 [0,-1,0,-90708,-3000088] 2 [434531658:-16541380891:287496]
127100c (2 curves)	1	2- 5- 31+ 41+	2- -2 5- -4  4 -6  6  0
Curve Equation t Generators 127100c1 [0,1,0,-2853,-59552] 2 [92:682:1] 127100c2 [0,1,0,-3628,-25452] 2 [746:5401:8]
127100d (1 curve)	0	2- 5- 31+ 41-	2-  2 5-  1 -1  0  0  6
Curve Equation t 127100d1 [0,-1,0,-333,38537] 1
127100e (1 curve)	2	2- 5- 31+ 41-	2- -2 5- -1 -1  0  0  6
Curve Equation t Generators 127100e1 [0,1,0,-13,303] 1 [-7:10:1]&[-3:18:1]

Data from Elliptic Curve Data by J. E. Cremona.
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