Cremona's table of elliptic curves

34170 = 2 · 3 · 5 · 17 · 67

Class	r	Atkin-Lehner	Eigenvalues
34170a (1 curve)	1	2+ 3+ 5+ 17+ 67+	2+ 3+ 5+ -2  3  4 17+  2
Curve Equation t Generators 34170a1 [1,1,0,1162,10068] 1 [28:-270:1]
34170b (1 curve)	1	2+ 3+ 5- 17+ 67-	2+ 3+ 5- -3  3  2 17+ -2
Curve Equation t Generators 34170b1 [1,1,0,168,-216954] 1 [1965:86151:1]
34170c (1 curve)	2	2+ 3+ 5- 17- 67-	2+ 3+ 5-  0 -5 -4 17- -4
Curve Equation t Generators 34170c1 [1,1,0,-37557,2787501] 1 [-38:2059:1]&[-163:2229:1]
34170d (4 curves)	0	2+ 3- 5+ 17+ 67+	2+ 3- 5+  0 -4  2 17+ -4
Curve Equation t 34170d1 [1,0,1,-7940174,-8612445184] 2 34170d2 [1,0,1,-7942174,-8607889984] 4 34170d3 [1,0,1,-6005874,-12909574064] 2 34170d4 [1,0,1,-9910474,-4014665104] 2
34170e (2 curves)	1	2+ 3- 5+ 17+ 67-	2+ 3- 5+ -1 -6  5 17+  8
Curve Equation t Generators 34170e1 [1,0,1,-160424,27565166] 3 [-102:6598:1] 34170e2 [1,0,1,1053361,-79799038] 1 [216:12454:1]
34170f (2 curves)	1	2+ 3- 5+ 17+ 67-	2+ 3- 5+  2  0  2 17+  4
Curve Equation t Generators 34170f1 [1,0,1,-539,-538] 2 [-9:64:1] 34170f2 [1,0,1,2141,-3754] 2 [40:362:1]
34170g (1 curve)	1	2+ 3- 5+ 17+ 67-	2+ 3- 5+  2 -3  4 17+  6
Curve Equation t Generators 34170g1 [1,0,1,-9658109,11551969496] 1 [1731:3742:1]
34170h (2 curves)	1	2+ 3- 5+ 17- 67+	2+ 3- 5+ -2  4 -4 17- -4
Curve Equation t Generators 34170h1 [1,0,1,-944,-6274] 2 [218:3078:1] 34170h2 [1,0,1,3056,-44674] 2 [18:118:1]
34170i (4 curves)	1	2+ 3- 5+ 17- 67+	2+ 3- 5+  4 -4  2 17-  4
Curve Equation t Generators 34170i1 [1,0,1,-2044,-20758] 2 [-465:2837:27] 34170i2 [1,0,1,-14544,659242] 4 [-37:1089:1] 34170i3 [1,0,1,2206,2093042] 2 [-84:1189:1] 34170i4 [1,0,1,-231294,42795442] 2 [388:3197:1]
34170j (4 curves)	0	2+ 3- 5+ 17- 67-	2+ 3- 5+  0  0  2 17-  4
Curve Equation t 34170j1 [1,0,1,12691,-487384] 2 34170j2 [1,0,1,-69229,-4517848] 4 34170j3 [1,0,1,-455149,114808616] 2 34170j4 [1,0,1,-994029,-381466328] 2
34170k (1 curve)	0	2+ 3- 5- 17+ 67-	2+ 3- 5- -1  2  1 17+ -4
Curve Equation t 34170k1 [1,0,1,-363463,-84371062] 1
34170l (2 curves)	2	2+ 3- 5- 17+ 67-	2+ 3- 5- -4 -3 -4 17+ -4
Curve Equation t Generators 34170l1 [1,0,1,337,113906] 3 [-45:112:1]&[-30:292:1] 34170l2 [1,0,1,-3038,-3076144] 1 [357:-6611:1]&[165:877:1]
34170m (1 curve)	1	2+ 3- 5- 17- 67-	2+ 3- 5-  1 -5  2 17-  0
Curve Equation t Generators 34170m1 [1,0,1,-8878,321248] 1 [64:95:1]
34170n (2 curves)	1	2- 3- 5+ 17- 67-	2- 3- 5+ -1 -3  2 17- -4
Curve Equation t Generators 34170n1 [1,0,0,-165511,27187841] 3 [-472:695:1] 34170n2 [1,0,0,900899,46991855] 1 [-410:6835:8]
34170o (1 curve)	0	2- 3- 5- 17+ 67+	2- 3- 5- -3  2 -1 17+ -4
Curve Equation t 34170o1 [1,0,0,-143940,21013542] 1
34170p (1 curve)	1	2- 3- 5- 17- 67+	2- 3- 5-  3 -5  2 17- -4
Curve Equation t Generators 34170p1 [1,0,0,225,-1863] 1 [12:45:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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