Cremona's table of elliptic curves

33327 = 3² · 7 · 23²

Class	r	Atkin-Lehner	Eigenvalues
33327a (1 curve)	0	3+ 7+ 23-	1 3+ -1 7+ -2  0 -5  8
Curve Equation t 33327a1 [1,-1,0,-52470,1823339] 1
33327b (1 curve)	0	3+ 7+ 23-	-1 3+  1 7+  2  0  5  8
Curve Equation t 33327b1 [1,-1,1,-472232,-48757922] 1
33327c (1 curve)	0	3+ 7+ 23-	2 3+ -2 7+ -1  0 -4 -7
Curve Equation t 33327c1 [0,0,1,-1813941,1005976685] 1
33327d (1 curve)	0	3+ 7+ 23-	-2 3+  2 7+  1  0  4 -7
Curve Equation t 33327d1 [0,0,1,-201549,-37258396] 1
33327e (1 curve)	1	3+ 7- 23-	1 3+  1 7-  2  0  5 -8
Curve Equation t Generators 33327e1 [1,-1,0,-99,-124] 1 [-4:16:1]
33327f (1 curve)	1	3+ 7- 23-	-1 3+ -1 7- -2  0 -5 -8
Curve Equation t Generators 33327f1 [1,-1,1,-893,4240] 1 [52:-337:1]
33327g (4 curves)	1	3- 7+ 23-	1 3-  2 7+  4  6 -2 -4
Curve Equation t Generators 33327g1 [1,-1,0,-17556,-868213] 2 [134104906221970:-3144315343803833:238905065125] 33327g2 [1,-1,0,-41361,2012192] 4 [-1908302:21281731:10648] 33327g3 [1,-1,0,125274,14043239] 2 [1523799085573960:-73278613528861833:690807104000] 33327g4 [1,-1,0,-588876,174041405] 2 [13172:495435:64]
33327h (1 curve)	1	3- 7+ 23-	1 3- -3 7+ -2 -1 -2 -6
Curve Equation t Generators 33327h1 [1,-1,0,-306,-2079] 1 [24:51:1]
33327i (2 curves)	1	3- 7+ 23-	-1 3-  0 7+  0 -2  0  8
Curve Equation t Generators 33327i1 [1,-1,1,4765,553250] 2 [-60:250:1] 33327i2 [1,-1,1,-79070,7997798] 2 [121:376:1]
33327j (1 curve)	1	3- 7+ 23-	-1 3-  3 7+  2  0 -1  2
Curve Equation t Generators 33327j1 [1,-1,1,-435731,-109982266] 1 [996:20557:1]
33327k (1 curve)	1	3- 7+ 23-	2 3-  2 7+ -3  4  2 -5
Curve Equation t Generators 33327k1 [0,0,1,2226561,802933789] 1 [-1596527711587168754372:-146467910686221736249469:7893293971143466432]
33327l (1 curve)	1	3- 7+ 23-	-2 3-  0 7+  1  2  4  3
Curve Equation t Generators 33327l1 [0,0,1,7935,215964] 1 [161:2380:1]
33327m (6 curves)	0	3- 7- 23-	1 3- -2 7-  4 -2 -6 -4
Curve Equation t 33327m1 [1,-1,0,4662,-28161] 2 33327m2 [1,-1,0,-19143,-213840] 4 33327m3 [1,-1,0,-185778,30680289] 2 33327m4 [1,-1,0,-233388,-43277085] 4 33327m5 [1,-1,0,-161973,-70314804] 2 33327m6 [1,-1,0,-3732723,-2774857986] 2
33327n (1 curve)	0	3- 7- 23-	1 3-  3 7-  2 -1  2  6
Curve Equation t 33327n1 [1,-1,0,-161973,26266842] 1
33327o (2 curves)	0	3- 7- 23-	-1 3-  0 7-  0 -2  0 -8
Curve Equation t 33327o1 [1,-1,1,2520850,-6746521084] 2 33327o2 [1,-1,1,-41827865,-97058244310] 2
33327p (1 curve)	2	3- 7- 23-	-1 3- -3 7- -2  0  1 -2
Curve Equation t Generators 33327p1 [1,-1,1,-824,9254] 1 [18:-5:1]&[12:-38:1]
33327q (1 curve)	0	3- 7- 23-	2 3- -2 7-  3  4 -2  5
Curve Equation t 33327q1 [0,0,1,4209,-65993] 1
33327r (1 curve)	0	3- 7- 23-	-2 3-  4 7- -5 -2  0  5
Curve Equation t 33327r1 [0,0,1,-458643,-139509864] 1

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