Cremona's table of elliptic curves

21417 = 3 · 11² · 59

Class	r	Atkin-Lehner	Eigenvalues
21417a (4 curves)	0	3+ 11- 59+	1 3+ -2  0 11- -2  2  4
Curve Equation t 21417a1 [1,1,0,-5326,106231] 2 21417a2 [1,1,0,-78531,8436960] 4 21417a3 [1,1,0,-71876,9934335] 2 21417a4 [1,1,0,-1256466,541570341] 4
21417b (1 curve)	0	3+ 11- 59+	-2 3+ -2  0 11-  1 -7 -2
Curve Equation t 21417b1 [0,-1,1,-52554,-4620364] 1
21417c (1 curve)	1	3+ 11- 59-	0 3+  3  0 11-  2 -2 -5
Curve Equation t Generators 21417c1 [0,-1,1,9761,-389478] 1 [5180:36266:125]
21417d (1 curve)	1	3+ 11- 59-	0 3+  3  0 11- -2  2  5
Curve Equation t Generators 21417d1 [0,-1,1,81,263] 1 [9:40:1]
21417e (2 curves)	1	3+ 11- 59-	-1 3+  2 -2 11-  2  0 -6
Curve Equation t Generators 21417e1 [1,1,1,-1757,-28654] 2 [48:-2:1] 21417e2 [1,1,1,-3572,38138] 2 [-16:310:1]
21417f (1 curve)	1	3+ 11- 59-	2 3+ -1  4 11-  2  6  3
Curve Equation t Generators 21417f1 [0,-1,1,4184,71895] 1 [1626:24363:8]
21417g (1 curve)	1	3+ 11- 59-	2 3+  2  4 11- -7  3 -6
Curve Equation t Generators 21417g1 [0,-1,1,131608,2404049] 1 [169735954:18650985431:8242408]
21417h (1 curve)	1	3+ 11- 59-	-2 3+ -1 -4 11- -2 -6 -3
Curve Equation t Generators 21417h1 [0,-1,1,506224,-97717522] 1 [202:3569:1]
21417i (1 curve)	1	3- 11+ 59-	0 3- -2  2 11+ -5 -1  4
Curve Equation t Generators 21417i1 [0,1,1,-3549,-124954] 1 [1530:19961:8]
21417j (1 curve)	1	3- 11+ 59-	0 3- -2 -2 11+  5  1 -4
Curve Equation t Generators 21417j1 [0,1,1,-29,83] 1 [7:16:1]
21417k (1 curve)	1	3- 11- 59+	1 3- -3  2 11- -1 -1 -2
Curve Equation t Generators 21417k1 [1,0,1,7015,298505] 1 [-33:193:1]
21417l (4 curves)	1	3- 11- 59+	-1 3- -2  0 11- -2 -6  4
Curve Equation t Generators 21417l1 [1,0,0,-1999,30944] 4 [35:47:1] 21417l2 [1,0,0,-7444,-214081] 4 [398:7541:1] 21417l3 [1,0,0,12521,-1160422] 2 [671772:13324999:1728] 21417l4 [1,0,0,-114529,-14927560] 2 [469390:5663443:1000]
21417m (1 curve)	1	3- 11- 59+	-1 3- -3 -2 11-  1  1  2
Curve Equation t Generators 21417m1 [1,0,0,58,-219] 1 [19:79:1]
21417n (1 curve)	0	3- 11- 59-	2 3-  2  1 11-  2 -2  5
Curve Equation t 21417n1 [0,1,1,-282,2459] 1
21417o (1 curve)	0	3- 11- 59-	2 3- -3  0 11-  4  6  1
Curve Equation t 21417o1 [0,1,1,-20852,-1175113] 1
21417p (1 curve)	0	3- 11- 59-	-2 3-  2 -1 11- -2  2 -5
Curve Equation t 21417p1 [0,1,1,-34162,-3409862] 1
21417q (1 curve)	2	3- 11- 59-	-2 3- -3  0 11- -4 -6 -1
Curve Equation t Generators 21417q1 [0,1,1,-172,820] 1 [-10:40:1]&[8:-5:1]

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