Cremona's table of elliptic curves

22755 = 3 · 5 · 37 · 41

Class	r	Atkin-Lehner	Eigenvalues
22755a (1 curve)	0	3+ 5+ 37+ 41-	2 3+ 5+ -4  0  3 -4 -6
Curve Equation t 22755a1 [0,-1,1,-2636,-51223] 1
22755b (2 curves)	2	3+ 5+ 37- 41+	-1 3+ 5+  0 -4 -6 -6 -4
Curve Equation t Generators 22755b1 [1,1,1,-427371,107358384] 2 [-647:10979:1]&[352:656:1] 22755b2 [1,1,1,-427166,107466788] 2 [-6:10492:1]&[156:6604:1]
22755c (4 curves)	1	3+ 5+ 37- 41-	1 3+ 5+  0  4  2  2 -4
Curve Equation t Generators 22755c1 [1,1,0,-122528,20017107] 2 [9226991054625552221434:76363911070622692639283:39749192908664125069] 22755c2 [1,1,0,-2075653,1150095232] 4 [7601353800:44753072203:8000000] 22755c3 [1,1,0,-2191278,1014652107] 2 [-4588:2192719:64] 22755c4 [1,1,0,-33210028,73649600857] 4 [108574538146495607400:-36721671915682899881:32584025384000000]
22755d (1 curve)	0	3+ 5- 37- 41-	0 3+ 5- -3  0 -2  2  1
Curve Equation t 22755d1 [0,-1,1,-5,-64] 1
22755e (6 curves)	0	3+ 5- 37- 41-	-1 3+ 5-  0  4 -2  2  4
Curve Equation t 22755e1 [1,1,1,-58310,5395250] 4 22755e2 [1,1,1,-58315,5394272] 8 22755e3 [1,1,1,-49990,6999332] 4 22755e4 [1,1,1,-66720,3726720] 4 22755e5 [1,1,1,213925,27188642] 2 22755e6 [1,1,1,-481845,-126290430] 2
22755f (4 curves)	2	3+ 5- 37- 41-	-1 3+ 5-  0 -4 -2  2 -4
Curve Equation t Generators 22755f1 [1,1,1,-185,830] 2 [-16:10:1]&[5:5:1] 22755f2 [1,1,1,-590,-4678] 4 [-18:31:1]&[432:8761:1] 22755f3 [1,1,1,1255,-26080] 4 [18:43:1]&[23:113:1] 22755f4 [1,1,1,-8915,-327688] 2 [-55:31:1]&[201:2359:1]
22755g (2 curves)	1	3- 5+ 37+ 41-	-1 3- 5+  0  2  2 -6  8
Curve Equation t Generators 22755g1 [1,0,0,-131,456] 2 [-5:34:1] 22755g2 [1,0,0,274,2805] 2 [1:55:1]
22755h (1 curve)	0	3- 5- 37- 41+	0 3- 5- -5  0  6  6 -5
Curve Equation t 22755h1 [0,1,1,-330745,74163124] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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