Cremona's table of elliptic curves

123165 = 3² · 5 · 7 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
123165a (2 curves)	0	3+ 5+ 7- 17- 23-	1 3+ 5+ 7-  6  2 17-  8
Curve Equation t 123165a1 [1,-1,0,9765,-1176784] 2 123165a2 [1,-1,0,-125130,-15448675] 2
123165b (2 curves)	1	3+ 5- 7- 17+ 23+	-1 3+ 5- 7- -6  2 17+  8
Curve Equation t Generators 123165b1 [1,-1,1,87883,31685284] 2 [232:-8149:1] 123165b2 [1,-1,1,-1126172,418240396] 2 [26:19709:1]
123165c (2 curves)	2	3- 5+ 7+ 17- 23-	-1 3- 5+ 7+ -6  0 17- -4
Curve Equation t Generators 123165c1 [1,-1,1,-139388,-19927794] 2 [-222:306:1]&[-210:327:1] 123165c2 [1,-1,1,-74363,-38628984] 2 [428:2580:1]&[458:4590:1]
123165d (6 curves)	1	3- 5+ 7- 17+ 23+	1 3- 5+ 7- -4  6 17+ -4
Curve Equation t Generators 123165d1 [1,-1,0,18090,655231] 2 [302:5645:1] 123165d2 [1,-1,0,-89955,5863000] 4 [-1490:32875:8] 123165d3 [1,-1,0,-652230,-198467735] 2 [-3506:15739:8] 123165d4 [1,-1,0,-1256400,542194411] 4 [44948:132317:64] 123165d5 [1,-1,0,-1075275,703866586] 2 [3052364:516571931:21952] 123165d6 [1,-1,0,-20100645,34691735200] 2 [209540310:1483033595:74088]
123165e (2 curves)	0	3- 5+ 7- 17- 23+	1 3- 5+ 7- -2  0 17-  4
Curve Equation t 123165e1 [1,-1,0,-357435,41736816] 2 123165e2 [1,-1,0,-2748060,-1723978809] 2
123165f (2 curves)	1	3- 5+ 7- 17- 23-	0 3- 5+ 7-  3  2 17-  5
Curve Equation t Generators 123165f1 [0,0,1,122712,-15614757] 1 [18404:421843:64] 123165f2 [0,0,1,-1227288,769798368] 3 [836:18112:1]
123165g (2 curves)	1	3- 5+ 7- 17- 23-	1 3- 5+ 7- -6 -4 17- -4
Curve Equation t Generators 123165g1 [1,-1,0,-6405,195776] 2 [52:10:1] 123165g2 [1,-1,0,-102030,12569651] 2 [190:31:1]
123165h (2 curves)	1	3- 5- 7+ 17+ 23+	1 3- 5- 7+ -2  4 17+  4
Curve Equation t Generators 123165h1 [1,-1,0,-75174,7428455] 2 [220670:9053213:125] 123165h2 [1,-1,0,-1180599,494036540] 2 [7060:583000:1]
123165i (2 curves)	0	3- 5- 7+ 17+ 23-	1 3- 5- 7+ -2  4 17+ -4
Curve Equation t 123165i1 [1,-1,0,-193509,20610288] 2 123165i2 [1,-1,0,-1298934,-554431797] 2
123165j (2 curves)	0	3- 5- 7+ 17+ 23-	-1 3- 5- 7+  0  2 17+ -8
Curve Equation t 123165j1 [1,-1,1,-32,-894] 2 123165j2 [1,-1,1,-1607,-24204] 2
123165k (2 curves)	2	3- 5- 7+ 17+ 23-	-1 3- 5- 7+ -2  0 17+ -4
Curve Equation t Generators 123165k1 [1,-1,1,-527,2126] 2 [-24:34:1]&[-138:677:8] 123165k2 [1,-1,1,-4352,-108034] 2 [114:874:1]&[-298:437:8]
123165l (1 curve)	2	3- 5- 7+ 17+ 23-	-1 3- 5- 7+  3 -1 17+ -7
Curve Equation t Generators 123165l1 [1,-1,1,688,3336] 1 [-4:24:1]&[41:294:1]
123165m (2 curves)	0	3- 5- 7+ 17+ 23-	-1 3- 5- 7+  4  2 17+  0
Curve Equation t 123165m1 [1,-1,1,-570434072,-5243780321454] 2 123165m2 [1,-1,1,-570414947,-5244149533404] 2
123165n (2 curves)	2	3- 5- 7+ 17+ 23-	-1 3- 5- 7+ -6 -4 17+ -4
Curve Equation t Generators 123165n1 [1,-1,1,-80013677,273303331404] 2 [-9763:356781:1]&[-4588:739731:1] 123165n2 [1,-1,1,-139779302,-189951981096] 2 [-84354:2713623:8]&[13922:742896:1]
123165o (4 curves)	0	3- 5- 7+ 17- 23+	1 3- 5- 7+  4 -2 17-  4
Curve Equation t 123165o1 [1,-1,0,176736,255231323] 2 123165o2 [1,-1,0,-5117469,4275650600] 4 123165o3 [1,-1,0,-13992594,-14555589625] 2 123165o4 [1,-1,0,-80949624,280350194093] 2
123165p (1 curve)	1	3- 5- 7+ 17- 23-	0 3- 5- 7+  5  0 17- -7
Curve Equation t Generators 123165p1 [0,0,1,14478,889420] 1 [28:1147:1]
123165q (2 curves)	0	3- 5- 7- 17+ 23+	-1 3- 5- 7-  4  2 17+  8
Curve Equation t 123165q1 [1,-1,1,-1414067,420916466] 2 123165q2 [1,-1,1,4113058,2901490166] 2
123165r (4 curves)	1	3- 5- 7- 17- 23+	-1 3- 5- 7-  4  2 17- -4
Curve Equation t Generators 123165r1 [1,-1,1,-65337512,280055168786] 2 [4456:275934:1] 123165r2 [1,-1,1,-1151528117,15038778633284] 4 [13942:1294591:1] 123165r3 [1,-1,1,-1258312172,12082825136396] 2 [29361:654694:1] 123165r4 [1,-1,1,-18423793742,962539999570784] 2 [78372:-36509:1]
123165s (4 curves)	0	3- 5- 7- 17- 23-	1 3- 5- 7-  0  2 17- -4
Curve Equation t 123165s1 [1,-1,0,-55599,-2494720] 2 123165s2 [1,-1,0,-758724,-254072845] 4 123165s3 [1,-1,0,-629349,-343626220] 2 123165s4 [1,-1,0,-12138099,-16273956970] 2
123165t (1 curve)	0	3- 5- 7- 17- 23-	1 3- 5- 7-  3  3 17-  1
Curve Equation t 123165t1 [1,-1,0,-166033404,-823425335415] 1

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