Cremona's table of elliptic curves

450 = 2 · 3² · 5²

Class	r	Atkin-Lehner	Eigenvalues
450f (4 curves)	1	2+ 3+ 5+	2+ 3+ 5+ -2 -6  4 -6 -4
Curve Equation t Generators 450f1 [1,-1,0,-192,1216] 2 [-1:38:1] 450f2 [1,-1,0,-3192,70216] 2 [29:23:1] 450f3 [1,-1,0,1308,-5284] 2 [14:118:1] 450f4 [1,-1,0,-5442,-39034] 2 [-41:358:1]
450d (4 curves)	0	2+ 3- 5+	2+ 3- 5+ -2  3  4 -3  5
Curve Equation t 450d1 [1,-1,0,-27,-59] 1 450d2 [1,-1,0,198,436] 1 450d3 [1,-1,0,-117,5791] 1 450d4 [1,-1,0,-28242,1833916] 1
450g (8 curves)	0	2+ 3- 5+	2+ 3- 5+  4  0 -2  6 -4
Curve Equation t 450g1 [1,-1,0,333,-7259] 2 450g2 [1,-1,0,-4167,-92759] 4 450g3 [1,-1,0,-3042,212116] 2 450g4 [1,-1,0,-64917,-6350009] 2 450g5 [1,-1,0,-15417,638491] 2 450g6 [1,-1,0,-75042,7916116] 4 450g7 [1,-1,0,-102042,1733116] 2 450g8 [1,-1,0,-1200042,506291116] 2
450c (4 curves)	1	2+ 3- 5-	2+ 3- 5- -2 -2 -6  2  0
Curve Equation t Generators 450c1 [1,-1,0,-27,81] 2 [0:9:1] 450c2 [1,-1,0,-477,4131] 2 [9:18:1] 450c3 [1,-1,0,-252,-7344] 2 [39:183:1] 450c4 [1,-1,0,-7452,-244944] 2 [-51:48:1]
450e (4 curves)	0	2- 3+ 5+	2- 3+ 5+ -2  6  4  6 -4
Curve Equation t 450e1 [1,-1,1,145,147] 2 450e2 [1,-1,1,-605,1647] 2 450e3 [1,-1,1,-1730,-31103] 2 450e4 [1,-1,1,-28730,-1867103] 2
450a (4 curves)	0	2- 3- 5-	2- 3- 5-  2 -2  6 -2  0
Curve Equation t 450a1 [1,-1,1,-680,9447] 2 450a2 [1,-1,1,-11930,504447] 2 450a3 [1,-1,1,-6305,-924303] 2 450a4 [1,-1,1,-186305,-30804303] 2
450b (4 curves)	0	2- 3- 5-	2- 3- 5-  2  3 -4  3  5
Curve Equation t 450b1 [1,-1,1,-5,47] 1 450b2 [1,-1,1,-1130,14897] 3 450b3 [1,-1,1,-680,-8053] 1 450b4 [1,-1,1,4945,59447] 3

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