Cremona's table of elliptic curves

28975 = 5² · 19 · 61

Class	r	Atkin-Lehner	Eigenvalues
28975a (2 curves)	1	5+ 19+ 61+	1  0 5+ -4  2 -4 -2 19+
Curve Equation t Generators 28975a1 [1,-1,0,-317,-784] 2 [20:14:1] 28975a2 [1,-1,0,-2692,53841] 2 [48:159:1]
28975b (1 curve)	2	5+ 19+ 61-	0 -1 5+ -3 -4  1 -2 19+
Curve Equation t Generators 28975b1 [0,-1,1,-133,793] 1 [7:-13:1]&[-7:36:1]
28975c (4 curves)	2	5+ 19+ 61-	-1  0 5+  0  0 -2 -6 19+
Curve Equation t Generators 28975c1 [1,-1,1,395,-4228] 2 [14:55:1]&[90:823:1] 28975c2 [1,-1,1,-2730,-41728] 4 [-22:96:1]&[139:1430:1] 28975c3 [1,-1,1,-14605,647022] 4 [84:45:1]&[103:425:1] 28975c4 [1,-1,1,-40855,-3167978] 2 [-116:70:1]&[14996:10845:64]
28975d (1 curve)	2	5+ 19- 61+	-2 -1 5+ -1 -2  5  2 19-
Curve Equation t Generators 28975d1 [0,-1,1,1492,36918] 1 [107:1187:1]&[3:203:1]
28975e (4 curves)	1	5+ 19- 61-	1  0 5+  0  4 -2 -2 19-
Curve Equation t Generators 28975e1 [1,-1,0,-3167,-56384] 2 [-36:118:1] 28975e2 [1,-1,0,-48292,-4072509] 4 [-1010:583:8] 28975e3 [1,-1,0,-45917,-4492884] 2 [14190:585783:8] 28975e4 [1,-1,0,-772667,-261225634] 2 [-240716190:120367213:474552]
28975f (1 curve)	0	5- 19- 61-	2  3 5- -1 -4  1 -2 19-
Curve Equation t 28975f1 [0,0,1,-1345,-19019] 1
28975g (1 curve)	2	5- 19- 61-	-2 -3 5-  1 -4 -1  2 19-
Curve Equation t Generators 28975g1 [0,0,1,-33625,-2377344] 1 [239:1799:1]&[300:3812:1]

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

Part of Computational Number Theory
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