Cremona's table of elliptic curves

33320 = 2³ · 5 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
33320a (2 curves)	0	2+ 5+ 7- 17+	2+  0 5+ 7- -2 -2 17+  4
Curve Equation t 33320a1 [0,0,0,-343,100842] 2 33320a2 [0,0,0,-34643,2453822] 2
33320b (1 curve)	1	2+ 5+ 7- 17-	2+  0 5+ 7-  3 -1 17-  7
Curve Equation t Generators 33320b1 [0,0,0,-1043,-12978] 1 [6730:36856:125]
33320c (2 curves)	1	2+ 5+ 7- 17-	2+  0 5+ 7- -6 -4 17- -2
Curve Equation t Generators 33320c1 [0,0,0,-79723,9382422] 2 [183:960:1] 33320c2 [0,0,0,-1304723,573617422] 2 [546:4900:1]
33320d (1 curve)	0	2+ 5- 7+ 17+	2+  0 5- 7+  3  1 17+ -7
Curve Equation t 33320d1 [0,0,0,-51107,4451454] 1
33320e (2 curves)	0	2+ 5- 7- 17-	2+  0 5- 7- -2  2 17- -4
Curve Equation t 33320e1 [0,0,0,-7,-294] 2 33320e2 [0,0,0,-707,-7154] 2
33320f (1 curve)	0	2+ 5- 7- 17-	2+  1 5- 7-  2 -1 17- -1
Curve Equation t 33320f1 [0,1,0,-320280,246751280] 1
33320g (1 curve)	2	2+ 5- 7- 17-	2+ -2 5- 7- -2 -1 17- -6
Curve Equation t Generators 33320g1 [0,1,0,-229385,44369275] 1 [-530:4165:1]&[1255:41650:1]
33320h (1 curve)	0	2- 5+ 7+ 17+	2-  1 5+ 7+ -3  1 17+ -6
Curve Equation t 33320h1 [0,1,0,-39216,-3026416] 1
33320i (1 curve)	1	2- 5+ 7- 17+	2-  1 5+ 7-  4  1 17+  1
Curve Equation t Generators 33320i1 [0,1,0,-16,6880] 1 [282:1813:8]
33320j (1 curve)	1	2- 5+ 7- 17+	2-  1 5+ 7-  4 -4 17+ -4
Curve Equation t Generators 33320j1 [0,1,0,-6281,189419] 1 [41:50:1]
33320k (2 curves)	1	2- 5+ 7- 17+	2- -2 5+ 7- -2 -2 17+ -8
Curve Equation t Generators 33320k1 [0,1,0,-173476,27752640] 2 [142:2450:1] 33320k2 [0,1,0,-172496,28082704] 2 [144:2500:1]
33320l (1 curve)	1	2- 5+ 7- 17+	2- -2 5+ 7- -2 -7 17+  2
Curve Equation t Generators 33320l1 [0,1,0,-87481,-9993285] 1 [590:12005:1]
33320m (1 curve)	0	2- 5+ 7- 17-	2-  3 5+ 7- -6  4 17-  4
Curve Equation t 33320m1 [0,0,0,-28,-28] 1
33320n (1 curve)	0	2- 5+ 7- 17-	2- -3 5+ 7-  6  1 17- -5
Curve Equation t 33320n1 [0,0,0,-91483,12236182] 1
33320o (1 curve)	1	2- 5- 7+ 17+	2- -3 5- 7+ -6 -4 17+ -4
Curve Equation t Generators 33320o1 [0,0,0,-1372,9604] 1 [0:98:1]
33320p (1 curve)	0	2- 5- 7+ 17-	2- -1 5- 7+  4  4 17-  4
Curve Equation t 33320p1 [0,-1,0,-307785,-65586275] 1
33320q (4 curves)	0	2- 5- 7- 17+	2-  0 5- 7-  0  2 17+  4
Curve Equation t 33320q1 [0,0,0,-7007,-225694] 2 33320q2 [0,0,0,-7987,-158466] 4 33320q3 [0,0,0,25333,-1138074] 2 33320q4 [0,0,0,-56987,5123734] 2
33320r (1 curve)	1	2- 5- 7- 17-	2- -1 5- 7- -3 -1 17-  6
Curve Equation t Generators 33320r1 [0,-1,0,-800,9052] 1 [14:-20:1]

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