Cremona's table of elliptic curves

35175 = 3 · 5² · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
35175a (2 curves)	1	3+ 5+ 7+ 67+	0 3+ 5+ 7+ -3  4  6  8
Curve Equation t Generators 35175a1 [0,-1,1,-883,12918] 1 [12:62:1] 35175a2 [0,-1,1,6617,-116457] 1 [837:24312:1]
35175b (1 curve)	2	3+ 5+ 7+ 67-	0 3+ 5+ 7+  0  0 -1 -3
Curve Equation t Generators 35175b1 [0,-1,1,-733,8493] 1 [-23:112:1]&[13:-32:1]
35175c (4 curves)	0	3+ 5+ 7+ 67-	1 3+ 5+ 7+  0  2 -2  4
Curve Equation t 35175c1 [1,1,0,-3500,91875] 2 35175c2 [1,1,0,-58625,5439000] 4 35175c3 [1,1,0,-61250,4921875] 2 35175c4 [1,1,0,-938000,349274625] 2
35175d (4 curves)	0	3+ 5+ 7+ 67-	-1 3+ 5+ 7+  4  6 -6 -4
Curve Equation t 35175d1 [1,1,1,-5338,-151594] 2 35175d2 [1,1,1,-8463,42156] 4 35175d3 [1,1,1,33412,377156] 2 35175d4 [1,1,1,-100338,12169656] 4
35175e (2 curves)	0	3+ 5+ 7+ 67-	-1 3+ 5+ 7+ -4  4  6 -2
Curve Equation t 35175e1 [1,1,1,-263,-9844] 2 35175e2 [1,1,1,-8638,-311344] 2
35175f (1 curve)	0	3+ 5+ 7+ 67-	-1 3+ 5+ 7+  6 -6  7  7
Curve Equation t 35175f1 [1,1,1,-1500638,706859156] 1
35175g (1 curve)	0	3+ 5+ 7+ 67-	2 3+ 5+ 7+  2  4  3 -5
Curve Equation t 35175g1 [0,-1,1,-1708,356193] 1
35175h (4 curves)	0	3+ 5+ 7- 67+	1 3+ 5+ 7- -4 -2  6 -8
Curve Equation t 35175h1 [1,1,0,92825,-7946000] 2 35175h2 [1,1,0,-468300,-71353125] 4 35175h3 [1,1,0,-3340925,2298562500] 2 35175h4 [1,1,0,-6573675,-6488102250] 2
35175i (4 curves)	0	3+ 5+ 7- 67+	-1 3+ 5+ 7-  0 -2  2  4
Curve Equation t 35175i1 [1,1,1,1162,5906] 4 35175i2 [1,1,1,-4963,42656] 4 35175i3 [1,1,1,-44338,-3579844] 2 35175i4 [1,1,1,-63588,6139656] 2
35175j (1 curve)	1	3+ 5+ 7- 67-	0 3+ 5+ 7-  0  0  3  1
Curve Equation t Generators 35175j1 [0,-1,1,-1008883,-1272356457] 1 [21997:3258787:1]
35175k (1 curve)	1	3+ 5+ 7- 67-	0 3+ 5+ 7-  5  0 -2 -4
Curve Equation t Generators 35175k1 [0,-1,1,-262633,51899793] 1 [297:87:1]
35175l (2 curves)	1	3+ 5+ 7- 67-	1 3+ 5+ 7-  0  4  0 -4
Curve Equation t Generators 35175l1 [1,1,0,-182586525,-949658130000] 2 [2165106810605718661308:-382918715273495517658390:58883391566862507] 35175l2 [1,1,0,-172820900,-1055742114375] 2 [81413162638096:7441680893868493:4103684801]
35175m (2 curves)	1	3+ 5+ 7- 67-	-1 3+ 5+ 7-  6 -2  2 -4
Curve Equation t Generators 35175m1 [1,1,1,2787,-86094] 2 [270:1611:8] 35175m2 [1,1,1,-20838,-936594] 2 [4590:103951:8]
35175n (1 curve)	1	3+ 5+ 7- 67-	-2 3+ 5+ 7-  0 -2 -6 -7
Curve Equation t Generators 35175n1 [0,-1,1,42,848] 1 [3:-32:1]
35175o (1 curve)	1	3+ 5+ 7- 67-	-2 3+ 5+ 7- -2 -4  3  7
Curve Equation t Generators 35175o1 [0,-1,1,-98658,11970218] 1 [717:17587:1]
35175p (1 curve)	1	3+ 5- 7+ 67-	1 3+ 5- 7+ -2 -2 -3 -3
Curve Equation t Generators 35175p1 [1,1,0,-52950,3119625] 1 [-40:2295:1]
35175q (1 curve)	1	3+ 5- 7+ 67-	-2 3+ 5- 7+ -2 -2  7  0
Curve Equation t Generators 35175q1 [0,-1,1,42,-5182] 1 [42:-263:1]
35175r (2 curves)	1	3+ 5- 7- 67+	1 3+ 5- 7-  0  2  2  0
Curve Equation t Generators 35175r1 [1,1,0,-1576115,-813672600] 2 [19640156828677864:564883174828695340:10304728334081] 35175r2 [1,1,0,-25687790,-50122047975] 2 [248703441488789506043438338:-25477291429453167880828868625:19552328305439739323032]
35175s (1 curve)	0	3+ 5- 7- 67-	-2 3+ 5- 7- -2  6  3 -8
Curve Equation t 35175s1 [0,-1,1,-3087658,9142843368] 1
35175t (2 curves)	0	3- 5+ 7+ 67+	-1 3- 5+ 7+  2  6  6  0
Curve Equation t 35175t1 [1,0,0,-9813,-1009008] 2 35175t2 [1,0,0,-222438,-40344633] 2
35175u (2 curves)	0	3- 5+ 7+ 67+	-1 3- 5+ 7+ -4  0  0  0
Curve Equation t 35175u1 [1,0,0,-4088,-67833] 2 35175u2 [1,0,0,11537,-458458] 2
35175v (1 curve)	0	3- 5+ 7+ 67+	2 3- 5+ 7+ -2 -6 -3 -8
Curve Equation t 35175v1 [0,1,1,-77191458,1142701038119] 1
35175w (1 curve)	0	3- 5+ 7+ 67+	2 3- 5+ 7+ -5  0  0 -2
Curve Equation t 35175w1 [0,1,1,-2408,50969] 1
35175x (2 curves)	1	3- 5+ 7- 67+	1 3- 5+ 7- -4 -4 -2  2
Curve Equation t Generators 35175x1 [1,0,1,-526,-5677] 2 [17353:98456:343] 35175x2 [1,0,1,-8901,-323927] 2 [203:2397:1]
35175y (1 curve)	1	3- 5+ 7- 67+	-1 3- 5+ 7- -2  2  3 -3
Curve Equation t Generators 35175y1 [1,0,0,-2118,24957] 1 [-39:240:1]
35175z (2 curves)	1	3- 5+ 7- 67+	-1 3- 5+ 7-  4 -4 -4  0
Curve Equation t Generators 35175z1 [1,0,0,-415463,103038792] 2 [247:3814:1] 35175z2 [1,0,0,-414838,103364417] 2 [437:-2581:1]
35175ba (1 curve)	1	3- 5+ 7- 67+	2 3- 5+ 7- -2  2 -7  0
Curve Equation t Generators 35175ba1 [0,1,1,2,-41] 1 [106:395:8]
35175bb (1 curve)	1	3- 5- 7+ 67+	2 3- 5- 7+  0  2  6 -7
Curve Equation t Generators 35175bb1 [0,1,1,1042,108119] 1 [314:3671:8]
35175bc (2 curves)	0	3- 5- 7+ 67-	-1 3- 5- 7+  0 -2 -2  0
Curve Equation t 35175bc1 [1,0,0,-39402888,-101630269233] 2 35175bc2 [1,0,0,-642194763,-6263971607358] 2
35175bd (1 curve)	0	3- 5- 7- 67+	1 3- 5- 7-  6  6 -7  7
Curve Equation t 35175bd1 [1,0,1,-60026,5654873] 1

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