Cremona's table of elliptic curves

34272 = 2⁵ · 3² · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
34272a (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+ -1 7+  1  5 17+  7
Curve Equation t Generators 34272a1 [0,0,0,-100008,-12695184] 1 [3378:36099:8]
34272b (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+ -1 7+ -5 -1 17+ -2
Curve Equation t Generators 34272b1 [0,0,0,-243,2214] 1 [-3:54:1]
34272c (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+  3 7+  5 -7 17+ -1
Curve Equation t Generators 34272c1 [0,0,0,-131976,18464112] 1 [513:9261:1]
34272d (1 curve)	2	2+ 3+ 7+ 17-	2+ 3+ -3 7+ -3 -3 17-  5
Curve Equation t Generators 34272d1 [0,0,0,-24,464] 1 [-8:12:1]&[8:28:1]
34272e (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7-  1  5 17- -7
Curve Equation t Generators 34272e1 [0,0,0,-11112,-470192] 1 [248:-3468:1]
34272f (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7- -5 -1 17-  2
Curve Equation t Generators 34272f1 [0,0,0,-27,82] 1 [2:6:1]
34272g (1 curve)	1	2+ 3+ 7- 17-	2+ 3+ -3 7-  3 -3 17- -5
Curve Equation t Generators 34272g1 [0,0,0,-24,-464] 1 [20:-84:1]
34272h (1 curve)	1	2+ 3+ 7- 17-	2+ 3+ -3 7-  5 -7 17-  1
Curve Equation t Generators 34272h1 [0,0,0,-14664,683856] 1 [24:588:1]
34272i (4 curves)	0	2+ 3- 7+ 17+	2+ 3-  2 7+ -4 -2 17+ -4
Curve Equation t 34272i1 [0,0,0,-7509,-249100] 4 34272i2 [0,0,0,-3099,-539278] 2 34272i3 [0,0,0,-12099,91478] 2 34272i4 [0,0,0,-119964,-15992800] 2
34272j (4 curves)	0	2+ 3- 7+ 17+	2+ 3- -2 7+ -4 -2 17+  8
Curve Equation t 34272j1 [0,0,0,-24681,-1317440] 4 34272j2 [0,0,0,37284,-6869504] 2 34272j3 [0,0,0,-99651,10752730] 2 34272j4 [0,0,0,-381891,-90834266] 2
34272k (2 curves)	1	2+ 3- 7+ 17-	2+ 3-  0 7+ -6  6 17- -4
Curve Equation t Generators 34272k1 [0,0,0,-2505,-48256] 2 [133:1404:1] 34272k2 [0,0,0,-2595,-44602] 2 [-23:54:1]
34272l (1 curve)	1	2+ 3- 7+ 17-	2+ 3-  1 7+ -5  1 17- -2
Curve Equation t Generators 34272l1 [0,0,0,-4107,-120958] 1 [82:306:1]
34272m (4 curves)	1	2+ 3- 7+ 17-	2+ 3-  2 7+ -4  2 17-  4
Curve Equation t Generators 34272m1 [0,0,0,-306129,-58962440] 4 [-80724:75650:343] 34272m2 [0,0,0,396141,-290009270] 2 [138778710:88275001550:343] 34272m3 [0,0,0,-1139619,404291302] 2 [-39:21182:1] 34272m4 [0,0,0,-4766844,-4005803072] 2 [285234129184:-181430746446600:704969]
34272n (4 curves)	1	2+ 3- 7+ 17-	2+ 3- -2 7+  0 -2 17- -8
Curve Equation t Generators 34272n1 [0,0,0,-741,6820] 4 [-7:108:1] 34272n2 [0,0,0,1149,35926] 4 [14:234:1] 34272n3 [0,0,0,-3036,-57440] 2 [-24:40:1] 34272n4 [0,0,0,-11451,471634] 2 [66:58:1]
34272o (1 curve)	1	2+ 3- 7+ 17-	2+ 3-  3 7+  1 -1 17- -2
Curve Equation t Generators 34272o1 [0,0,0,1149,-362] 1 [77:738:1]
34272p (1 curve)	1	2+ 3- 7- 17+	2+ 3-  1 7-  5 -5 17+  2
Curve Equation t Generators 34272p1 [0,0,0,-1391547,631822322] 1 [706:1134:1]
34272q (4 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7-  4 -2 17+ -8
Curve Equation t Generators 34272q1 [0,0,0,-24681,1317440] 4 [-11:1260:1] 34272q2 [0,0,0,37284,6869504] 2 [-44:2268:1] 34272q3 [0,0,0,-99651,-10752730] 2 [-130:70:1] 34272q4 [0,0,0,-381891,90834266] 2 [3314:15435:8]
34272r (2 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7- -4 -2 17+  2
Curve Equation t Generators 34272r1 [0,0,0,-201,740] 2 [-13:34:1] 34272r2 [0,0,0,564,5024] 2 [10:-108:1]
34272s (2 curves)	0	2+ 3- 7- 17-	2+ 3-  0 7-  6  6 17-  4
Curve Equation t 34272s1 [0,0,0,-2505,48256] 2 34272s2 [0,0,0,-2595,44602] 2
34272t (4 curves)	0	2+ 3- 7- 17-	2+ 3-  2 7-  4  2 17- -4
Curve Equation t 34272t1 [0,0,0,-306129,58962440] 4 34272t2 [0,0,0,396141,290009270] 2 34272t3 [0,0,0,-1139619,-404291302] 2 34272t4 [0,0,0,-4766844,4005803072] 2
34272u (4 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7-  4  2 17- -4
Curve Equation t 34272u1 [0,0,0,-2901,50020] 4 34272u2 [0,0,0,5604,288160] 2 34272u3 [0,0,0,-13611,-564734] 2 34272u4 [0,0,0,-44211,3577894] 4
34272v (1 curve)	0	2- 3+ 7+ 17+	2- 3+  3 7+  3 -3 17+  5
Curve Equation t 34272v1 [0,0,0,-216,-12528] 1
34272w (1 curve)	1	2- 3+ 7+ 17-	2- 3+  1 7+ -1  5 17-  7
Curve Equation t Generators 34272w1 [0,0,0,-11112,470192] 1 [92:476:1]
34272x (1 curve)	1	2- 3+ 7+ 17-	2- 3+  1 7+  5 -1 17- -2
Curve Equation t Generators 34272x1 [0,0,0,-27,-82] 1 [13:42:1]
34272y (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -3 7+ -5 -7 17- -1
Curve Equation t Generators 34272y1 [0,0,0,-14664,-683856] 1 [172:1372:1]
34272z (1 curve)	1	2- 3+ 7- 17+	2- 3+ -1 7- -1  5 17+ -7
Curve Equation t Generators 34272z1 [0,0,0,-100008,12695184] 1 [192:756:1]
34272ba (1 curve)	1	2- 3+ 7- 17+	2- 3+ -1 7-  5 -1 17+  2
Curve Equation t Generators 34272ba1 [0,0,0,-243,-2214] 1 [2670:6048:125]
34272bb (1 curve)	1	2- 3+ 7- 17+	2- 3+  3 7- -3 -3 17+ -5
Curve Equation t Generators 34272bb1 [0,0,0,-216,12528] 1 [12:-108:1]
34272bc (1 curve)	1	2- 3+ 7- 17+	2- 3+  3 7- -5 -7 17+  1
Curve Equation t Generators 34272bc1 [0,0,0,-131976,-18464112] 1 [432:2268:1]
34272bd (1 curve)	1	2- 3- 7+ 17+	2- 3-  1 7+ -5 -5 17+ -2
Curve Equation t Generators 34272bd1 [0,0,0,-1391547,-631822322] 1 [35140357637:-499303933398:24137569]
34272be (2 curves)	1	2- 3- 7+ 17+	2- 3- -2 7+ -2 -4 17+ -2
Curve Equation t Generators 34272be1 [0,0,0,13119,13120] 2 [48:868:1] 34272be2 [0,0,0,-52491,104974] 2 [-151:2142:1]
34272bf (2 curves)	1	2- 3- 7+ 17+	2- 3- -2 7+  4 -2 17+ -2
Curve Equation t Generators 34272bf1 [0,0,0,-201,-740] 2 [-7:18:1] 34272bf2 [0,0,0,564,-5024] 2 [29:189:1]
34272bg (2 curves)	0	2- 3- 7+ 17-	2- 3-  2 7+ -2  0 17- -6
Curve Equation t 34272bg1 [0,0,0,-129,9200] 2 34272bg2 [0,0,0,-7419,243938] 2
34272bh (4 curves)	0	2- 3- 7+ 17-	2- 3- -2 7+ -4  2 17-  4
Curve Equation t 34272bh1 [0,0,0,-2901,-50020] 4 34272bh2 [0,0,0,5604,-288160] 4 34272bh3 [0,0,0,-13611,564734] 2 34272bh4 [0,0,0,-44211,-3577894] 2
34272bi (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  4 -2 17+  4
Curve Equation t 34272bi1 [0,0,0,-7509,249100] 4 34272bi2 [0,0,0,-3099,539278] 2 34272bi3 [0,0,0,-12099,-91478] 2 34272bi4 [0,0,0,-119964,15992800] 2
34272bj (2 curves)	0	2- 3- 7- 17+	2- 3- -2 7-  2 -4 17+  2
Curve Equation t 34272bj1 [0,0,0,13119,-13120] 2 34272bj2 [0,0,0,-52491,-104974] 2
34272bk (1 curve)	1	2- 3- 7- 17-	2- 3-  1 7-  5  1 17-  2
Curve Equation t Generators 34272bk1 [0,0,0,-4107,120958] 1 [173:2142:1]
34272bl (2 curves)	1	2- 3- 7- 17-	2- 3-  2 7-  2  0 17-  6
Curve Equation t Generators 34272bl1 [0,0,0,-129,-9200] 2 [3504:39680:27] 34272bl2 [0,0,0,-7419,-243938] 2 [521:11718:1]
34272bm (4 curves)	1	2- 3- 7- 17-	2- 3- -2 7-  0 -2 17-  8
Curve Equation t Generators 34272bm1 [0,0,0,-741,-6820] 4 [-19:20:1] 34272bm2 [0,0,0,1149,-35926] 2 [226:1105:8] 34272bm3 [0,0,0,-3036,57440] 4 [-58:196:1] 34272bm4 [0,0,0,-11451,-471634] 2 [3554:72495:8]
34272bn (1 curve)	1	2- 3- 7- 17-	2- 3-  3 7- -1 -1 17-  2
Curve Equation t Generators 34272bn1 [0,0,0,1149,362] 1 [358:6804:1]

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