Cremona's table of elliptic curves

990 = 2 · 3² · 5 · 11

Class	r	Atkin-Lehner	Eigenvalues
990a (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  0 11+  0 -2  2
Curve Equation t Generators 990a1 [1,-1,0,-15,25] 2 [0:5:1] 990a2 [1,-1,0,15,91] 2 [3:11:1]
990b (4 curves)	0	2+ 3+ 5- 11+	2+ 3+ 5- -4 11+ -4  6  2
Curve Equation t 990b1 [1,-1,0,-10734,430740] 6 990b2 [1,-1,0,-10614,440748] 6 990b3 [1,-1,0,-14109,140165] 2 990b4 [1,-1,0,55011,1066373] 2
990c (6 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+  6 -2 -4
Curve Equation t 990c1 [1,-1,0,2295,-4595] 2 990c2 [1,-1,0,-9225,-29939] 4 990c3 [1,-1,0,-106425,-13307459] 2 990c4 [1,-1,0,-96345,11487325] 4 990c5 [1,-1,0,-1539765,735795481] 2 990c6 [1,-1,0,-46845,23238625] 2
990d (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  3 11+ -6  7  5
Curve Equation t 990d1 [1,-1,0,90,1300] 1 990d2 [1,-1,0,-53460,4771030] 1
990e (6 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11- -2 -2 -4
Curve Equation t Generators 990e1 [1,-1,0,45,-459] 2 [15:51:1] 990e2 [1,-1,0,-675,-6075] 4 [-15:30:1] 990e3 [1,-1,0,-10575,-415935] 2 [-59:30:1] 990e4 [1,-1,0,-2295,35721] 4 [-32:291:1] 990e5 [1,-1,0,-34965,2525175] 2 [111:-6:1] 990e6 [1,-1,0,4455,201771] 2 [-27:261:1]
990f (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5- -1 11-  2  3 -1
Curve Equation t 990f1 [1,-1,0,-9,-27] 1 990f2 [1,-1,0,81,675] 3
990g (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  4 11-  2 -2  4
Curve Equation t 990g1 [1,-1,0,-362394,-79244492] 2 990g2 [1,-1,0,-1099674,346460980] 4 990g3 [1,-1,0,-16496154,25790683828] 2 990g4 [1,-1,0,2500326,2138540980] 2
990h (4 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+ -4 11- -4 -6  2
Curve Equation t Generators 990h1 [1,-1,1,-96608,-11533373] 2 [793:19853:1] 990h2 [1,-1,1,-95528,-11804669] 2 [1027:30671:1] 990h3 [1,-1,1,-1568,-4669] 6 [-35:97:1] 990h4 [1,-1,1,6112,-41533] 6 [13:193:1]
990i (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  0 11-  0  2  2
Curve Equation t 990i1 [1,-1,1,-137,-539] 2 990i2 [1,-1,1,133,-2591] 2
990j (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -4 11+ -2  2 -8
Curve Equation t Generators 990j1 [1,-1,1,-203,987] 4 [-13:42:1] 990j2 [1,-1,1,-923,-9669] 4 [-19:36:1] 990j3 [1,-1,1,-14423,-663069] 2 [-69:36:1] 990j4 [1,-1,1,1057,-46893] 2 [47:300:1]
990k (4 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+  2  2  8
Curve Equation t 990k1 [1,-1,1,-12542,543741] 4 990k2 [1,-1,1,-12722,527469] 4 990k3 [1,-1,1,-37472,-2125731] 2 990k4 [1,-1,1,9148,2137101] 2
990l (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  5 11+  2 -3 -7
Curve Equation t 990l1 [1,-1,1,-797,-8539] 1 990l2 [1,-1,1,2668,-45961] 3

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