Cremona's table of elliptic curves

23055 = 3 · 5 · 29 · 53

Class	r	Atkin-Lehner	Eigenvalues
23055a (1 curve)	1	3+ 5+ 29+ 53+	0 3+ 5+  3  4  1 -2 -5
Curve Equation t Generators 23055a1 [0,-1,1,13909,1464236] 1 [-24836:92016:343]
23055b (1 curve)	1	3+ 5+ 29+ 53+	-2 3+ 5+  3  4  1 -6  1
Curve Equation t Generators 23055b1 [0,-1,1,-196,1152] 1 [6:12:1]
23055c (1 curve)	0	3+ 5- 29+ 53+	0 3+ 5- -2  4 -4  3  0
Curve Equation t 23055c1 [0,-1,1,105,-1099] 1
23055d (2 curves)	1	3+ 5- 29+ 53-	1 3+ 5-  0  0  6  0  6
Curve Equation t Generators 23055d1 [1,1,0,-3537,-82296] 2 [108:846:1] 23055d2 [1,1,0,-4842,-17829] 2 [102:699:1]
23055e (4 curves)	0	3+ 5- 29- 53-	1 3+ 5-  0  4 -2  2  4
Curve Equation t 23055e1 [1,1,0,-2987,-12264] 2 23055e2 [1,1,0,-35792,-2616981] 4 23055e3 [1,1,0,-24047,-4348194] 4 23055e4 [1,1,0,-572417,-166931556] 2
23055f (4 curves)	2	3+ 5- 29- 53-	-1 3+ 5-  0 -4 -2  6 -8
Curve Equation t Generators 23055f1 [1,1,1,-4305,105462] 4 [-75:153:1]&[-250:3793:8] 23055f2 [1,1,1,-8510,-140110] 4 [-658:1195:8]&[-70:379:1] 23055f3 [1,1,1,29915,-1016200] 2 [75:1249:1]&[1515:58609:1] 23055f4 [1,1,1,-114215,-14896528] 2 [-198:166:1]&[397:1391:1]
23055g (1 curve)	1	3- 5- 29- 53-	0 3- 5-  1  0 -1  2  5
Curve Equation t Generators 23055g1 [0,1,1,-351395,80144549] 1 [-317:12640:1]
23055h (1 curve)	1	3- 5- 29- 53-	0 3- 5-  2  0  0 -3 -4
Curve Equation t Generators 23055h1 [0,1,1,107911465,528324751964] 1 [157658:25686311:8]
23055i (1 curve)	1	3- 5- 29- 53-	0 3- 5- -3  0 -5  2  1
Curve Equation t Generators 23055i1 [0,1,1,-5,-19] 1 [3:1:1]
23055j (2 curves)	1	3- 5- 29- 53-	-1 3- 5-  2 -4  2  0  0
Curve Equation t Generators 23055j1 [1,0,0,-40,-73] 2 [7:-2:1] 23055j2 [1,0,0,105,-450] 2 [15:60:1]
23055k (1 curve)	1	3- 5- 29- 53-	-2 3- 5-  0 -2 -6 -1 -2
Curve Equation t Generators 23055k1 [0,1,1,1680,2324] 1 [21:-218:1]

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

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