Cremona's table of elliptic curves

33350 = 2 · 5² · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
33350a (1 curve)	1	2+ 5+ 23+ 29+	2+ -1 5+  4 -1 -7 -4 -5
Curve Equation t Generators 33350a1 [1,1,0,-7400,-248000] 1 [-51:26:1]
33350b (1 curve)	0	2+ 5+ 23- 29+	2+  1 5+  2 -3  1  6 -7
Curve Equation t 33350b1 [1,0,1,-3609651,-2176457802] 1
33350c (1 curve)	1	2+ 5+ 23- 29-	2+ -2 5+ -2  5 -3 -3  5
Curve Equation t Generators 33350c1 [1,0,1,14,-12] 1 [1:1:1]
33350d (1 curve)	1	2+ 5- 23+ 29-	2+ -2 5- -2 -3 -1  3  5
Curve Equation t Generators 33350d1 [1,0,1,-1476,21698] 1 [17:31:1]
33350e (1 curve)	1	2+ 5- 23- 29+	2+  1 5-  2 -5  2  1 -1
Curve Equation t Generators 33350e1 [1,0,1,-44576,29266798] 1 [376:7917:1]
33350f (1 curve)	1	2+ 5- 23- 29+	2+  1 5- -4 -3 -5  4 -7
Curve Equation t Generators 33350f1 [1,0,1,-1421,20488] 1 [22:-9:1]
33350g (1 curve)	0	2+ 5- 23- 29-	2+  3 5-  2 -3  5  6  5
Curve Equation t 33350g1 [1,-1,0,-18742,940916] 1
33350h (2 curves)	0	2- 5+ 23+ 29+	2-  0 5+ -4  2 -6 -2 -2
Curve Equation t 33350h1 [1,-1,1,-7680,-1143553] 2 33350h2 [1,-1,1,-217930,-38988553] 2
33350i (1 curve)	2	2- 5+ 23+ 29+	2- -1 5+ -2 -5 -2 -1 -1
Curve Equation t Generators 33350i1 [1,1,1,-1783,233421] 1 [-69:218:1]&[69:632:1]
33350j (1 curve)	2	2- 5+ 23+ 29+	2- -1 5+ -2 -5 -5  2 -1
Curve Equation t Generators 33350j1 [1,1,1,-188,-219] 1 [-5:-23:1]&[-9:33:1]
33350k (2 curves)	0	2- 5+ 23+ 29+	2- -1 5+  4 -3 -5  6  8
Curve Equation t 33350k1 [1,1,1,57762,-3322469] 1 33350k2 [1,1,1,-1198613,-513278469] 1
33350l (1 curve)	1	2- 5+ 23- 29+	2- -1 5+  0 -3 -1  2 -8
Curve Equation t Generators 33350l1 [1,1,1,-188,-3219] 1 [19:13:1]
33350m (1 curve)	1	2- 5+ 23- 29+	2- -3 5+ -4  5  3  4  1
Curve Equation t Generators 33350m1 [1,-1,1,-7980,157647] 1 [329:-5915:1]
33350n (1 curve)	0	2- 5+ 23- 29-	2- -1 5+  2  3  1  6 -1
Curve Equation t 33350n1 [1,1,1,-25338,-1562969] 1
33350o (2 curves)	2	2- 5+ 23- 29-	2- -1 5+ -2 -3  1 -6 -7
Curve Equation t Generators 33350o1 [1,1,1,-33438,2269531] 1 [-169:1853:1]&[1875:-15451:27] 33350o2 [1,1,1,-377813,-88790469] 1 [-375:762:1]&[-345:972:1]
33350p (1 curve)	0	2- 5+ 23- 29-	2-  2 5+  2 -3  1 -3  5
Curve Equation t 33350p1 [1,1,1,-36888,2712281] 1
33350q (1 curve)	1	2- 5- 23+ 29+	2- -1 5-  4 -3  5 -4 -7
Curve Equation t Generators 33350q1 [1,1,1,-35513,2561031] 1 [135:432:1]
33350r (1 curve)	0	2- 5- 23+ 29-	2-  2 5-  2  5  3  3  5
Curve Equation t 33350r1 [1,1,1,362,-1469] 1
33350s (1 curve)	2	2- 5- 23+ 29-	2- -3 5- -2 -3 -5 -6  5
Curve Equation t Generators 33350s1 [1,-1,1,-750,7677] 1 [9:35:1]&[-15:131:1]

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