Cremona's table of elliptic curves

45747 = 3² · 13 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
45747a (1 curve)	1	3+ 13- 17+ 23-	1 3+ -1  3 -2 13- 17+  8
Curve Equation t Generators 45747a1 [1,-1,0,-15,-478] 1 [1130:434:125]
45747b (1 curve)	1	3+ 13- 17- 23+	-1 3+  1  3  2 13- 17-  8
Curve Equation t Generators 45747b1 [1,-1,1,-2,18] 1 [2:3:1]
45747c (2 curves)	2	3- 13+ 17+ 23+	-1 3- -2  0  0 13+ 17+  2
Curve Equation t Generators 45747c1 [1,-1,1,34,316] 2 [4:20:1]&[11:38:1] 45747c2 [1,-1,1,-551,4762] 2 [28:89:1]&[-98:827:8]
45747d (1 curve)	0	3- 13+ 17+ 23+	2 3-  1 -4  3 13+ 17+ -5
Curve Equation t 45747d1 [0,0,1,-777,12109] 1
45747e (1 curve)	0	3- 13+ 17+ 23+	2 3- -2  0  0 13+ 17+ -1
Curve Equation t 45747e1 [0,0,1,-366651,-114958825] 1
45747f (1 curve)	0	3- 13+ 17+ 23+	2 3- -2 -4  0 13+ 17+  1
Curve Equation t 45747f1 [0,0,1,-2309241,-1375938005] 1
45747g (2 curves)	1	3- 13+ 17+ 23-	-1 3-  0 -2 -2 13+ 17+  0
Curve Equation t Generators 45747g1 [1,-1,1,-1129055,-440623186] 2 [153030:-488611:125] 45747g2 [1,-1,1,-17837240,-28991569714] 2 [4890:23947:1]
45747h (1 curve)	0	3- 13+ 17- 23-	-2 3- -2  4  4 13+ 17-  5
Curve Equation t 45747h1 [0,0,1,789,6682] 1
45747i (1 curve)	0	3- 13- 17+ 23-	2 3-  0 -2  0 13- 17+ -1
Curve Equation t 45747i1 [0,0,1,-165,1773] 1
45747j (4 curves)	2	3- 13- 17- 23+	-1 3- -2  0 -4 13- 17- -4
Curve Equation t Generators 45747j1 [1,-1,1,-2381,29940] 4 [-27:285:1]&[50:159:1] 45747j2 [1,-1,1,-15386,-708744] 4 [-78:149:1]&[-522:1209:8] 45747j3 [1,-1,1,5269,-2485074] 2 [152:1269:1]&[165:1607:1] 45747j4 [1,-1,1,-244121,-46364250] 2 [-285:149:1]&[3975440:100840785:4096]
45747k (1 curve)	1	3- 13- 17- 23-	0 3- -3  0 -1 13- 17-  5
Curve Equation t Generators 45747k1 [0,0,1,636,2007] 1 [-3:8:1]
45747l (4 curves)	1	3- 13- 17- 23-	1 3- -2  0  0 13- 17-  4
Curve Equation t Generators 45747l1 [1,-1,0,-468,-53109] 2 [9588:110091:64] 45747l2 [1,-1,0,-24273,-1438560] 4 [5380:391730:1] 45747l3 [1,-1,0,-41868,936765] 2 [196:383:1] 45747l4 [1,-1,0,-387558,-92768409] 2 [-10032504113562:5070207486891:27928443304]
45747m (2 curves)	1	3- 13- 17- 23-	-1 3-  0 -2 -6 13- 17-  6
Curve Equation t Generators 45747m1 [1,-1,1,895,6648] 2 [6:107:1] 45747m2 [1,-1,1,-4370,61404] 2 [2:228:1]

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

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