Cremona's table of elliptic curves

55233 = 3² · 17 · 19²

Class	r	Atkin-Lehner	Eigenvalues
55233a (1 curve)	1	3+ 17+ 19+	0 3+  1 -2  4  3 17+ 19+
Curve Equation t Generators 55233a1 [0,0,1,-740772,245427023] 1 [6498:107213:8]
55233b (1 curve)	0	3+ 17+ 19-	0 3+  1 -2  4 -3 17+ 19-
Curve Equation t 55233b1 [0,0,1,-2052,-35782] 1
55233c (1 curve)	0	3+ 17+ 19-	2 3+ -1 -2 -3  5 17+ 19-
Curve Equation t 55233c1 [0,0,1,-1083,-15433] 1
55233d (1 curve)	0	3+ 17- 19+	0 3+ -1 -2 -4  3 17- 19+
Curve Equation t 55233d1 [0,0,1,-82308,-9089890] 1
55233e (1 curve)	1	3+ 17- 19-	0 3+ -1 -2 -4 -3 17- 19-
Curve Equation t Generators 55233e1 [0,0,1,-228,1325] 1 [9:-2:1]
55233f (1 curve)	1	3+ 17- 19-	-2 3+  1 -2  3  5 17- 19-
Curve Equation t Generators 55233f1 [0,0,1,-9747,416684] 1 [63:229:1]
55233g (4 curves)	1	3- 17+ 19-	-1 3-  2  4  0  2 17+ 19-
Curve Equation t Generators 55233g1 [1,-1,1,-2234,17920] 2 [518:11473:1] 55233g2 [1,-1,1,-18479,-950282] 4 [-1678292:-1494865:21952] 55233g3 [1,-1,1,-2234,-2574782] 2 [6984485794:109430621945:23393656] 55233g4 [1,-1,1,-294644,-61485650] 2 [-15097681508:7593348827:48228544]
55233h (1 curve)	1	3- 17- 19+	1 3-  1 -3 -6 -2 17- 19+
Curve Equation t Generators 55233h1 [1,-1,0,531,-5198] 1 [62:482:1]
55233i (2 curves)	1	3- 17- 19+	1 3- -2  0  6  4 17- 19+
Curve Equation t Generators 55233i1 [1,-1,0,-1135593,465558376] 2 [54992360:684158993:64000] 55233i2 [1,-1,0,-1444248,192645625] 2 [20494:912343:8]
55233j (1 curve)	1	3- 17- 19+	-1 3-  1  2 -5  2 17- 19+
Curve Equation t Generators 55233j1 [1,-1,1,-1968962,-1102760548] 1 [208589277186:9104798039908:74618461]
55233k (1 curve)	1	3- 17- 19+	-1 3-  1 -3 -6  2 17- 19+
Curve Equation t Generators 55233k1 [1,-1,1,191623,34694858] 1 [4242:275668:1]
55233l (2 curves)	1	3- 17- 19+	-1 3- -2  0  6 -4 17- 19+
Curve Equation t Generators 55233l1 [1,-1,1,-3146,-67048] 2 [-32:24:1] 55233l2 [1,-1,1,-4001,-27034] 2 [-48:253:1]
55233m (1 curve)	1	3- 17- 19+	-1 3- -4 -3  0 -3 17- 19+
Curve Equation t Generators 55233m1 [1,-1,1,45418,1418600] 1 [6:1297:1]
55233n (1 curve)	1	3- 17- 19+	2 3-  2  0  3  3 17- 19+
Curve Equation t Generators 55233n1 [0,0,1,-14959479,22823279631] 1 [-289718132:15790064603:85184]
55233o (1 curve)	0	3- 17- 19-	0 3-  2  4  2 -6 17- 19-
Curve Equation t 55233o1 [0,0,1,-149454,51344759] 1
55233p (2 curves)	0	3- 17- 19-	0 3- -3 -4  3  1 17- 19-
Curve Equation t 55233p1 [0,0,1,2166,-186908] 1 55233p2 [0,0,1,-192774,-32595683] 1
55233q (1 curve)	0	3- 17- 19-	1 3-  1  2 -5 -2 17- 19-
Curve Equation t 55233q1 [1,-1,0,-5454,162211] 1
55233r (2 curves)	0	3- 17- 19-	1 3- -2  2 -2 -2 17- 19-
Curve Equation t 55233r1 [1,-1,0,-30933,15664] 2 55233r2 [1,-1,0,-339588,-75851735] 2
55233s (1 curve)	0	3- 17- 19-	1 3- -4 -3  0  3 17- 19-
Curve Equation t 55233s1 [1,-1,0,16396011,-9812159276] 1
55233t (1 curve)	0	3- 17- 19-	-2 3-  2  0  3 -3 17- 19-
Curve Equation t 55233t1 [0,0,1,-41439,-3327494] 1

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