Cremona's table of elliptic curves

27846 = 2 · 3² · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
27846a (1 curve)	1	2+ 3+ 7+ 13+ 17+	2+ 3+ -2 7+  2 13+ 17+ -3
Curve Equation t Generators 27846a1 [1,-1,0,1122,-105196] 1 [43:124:1]
27846b (2 curves)	0	2+ 3+ 7+ 13- 17+	2+ 3+  4 7+ -4 13- 17+  8
Curve Equation t 27846b1 [1,-1,0,0,-52] 2 27846b2 [1,-1,0,-210,-1102] 2
27846c (1 curve)	1	2+ 3+ 7+ 13- 17-	2+ 3+ -2 7+ -2 13- 17- -5
Curve Equation t Generators 27846c1 [1,-1,0,-78,286] 1 [5:-4:1]
27846d (2 curves)	1	2+ 3+ 7- 13+ 17-	2+ 3+ -2 7-  0 13+ 17-  0
Curve Equation t Generators 27846d1 [1,-1,0,-5313,64701] 2 [-27:447:1] 27846d2 [1,-1,0,-70593,7232445] 2 [162:87:1]
27846e (1 curve)	1	2+ 3+ 7- 13- 17+	2+ 3+ -2 7-  2 13- 17+ -3
Curve Equation t Generators 27846e1 [1,-1,0,-663,956861] 1 [85:1186:1]
27846f (4 curves)	0	2+ 3+ 7- 13- 17-	2+ 3+  0 7-  0 13- 17- -4
Curve Equation t 27846f1 [1,-1,0,1248,172224] 6 27846f2 [1,-1,0,-39912,2962872] 6 27846f3 [1,-1,0,-11247,-4694995] 2 27846f4 [1,-1,0,-495087,-133106131] 2
27846g (4 curves)	0	2+ 3- 7+ 13+ 17+	2+ 3-  2 7+  0 13+ 17+  8
Curve Equation t 27846g1 [1,-1,0,2799,17037] 2 27846g2 [1,-1,0,-11781,148257] 4 27846g3 [1,-1,0,-108171,-13558401] 2 27846g4 [1,-1,0,-148671,22078035] 2
27846h (2 curves)	1	2+ 3- 7+ 13+ 17-	2+ 3-  0 7+ -4 13+ 17-  0
Curve Equation t Generators 27846h1 [1,-1,0,-77652,-8309120] 2 [324:520:1] 27846h2 [1,-1,0,-74592,-8996396] 2 [746:18338:1]
27846i (1 curve)	1	2+ 3- 7+ 13+ 17-	2+ 3-  0 7+  6 13+ 17-  5
Curve Equation t Generators 27846i1 [1,-1,0,-1059147,1031787589] 1 [-2834:296707:8]
27846j (1 curve)	1	2+ 3- 7+ 13+ 17-	2+ 3- -3 7+ -4 13+ 17-  6
Curve Equation t Generators 27846j1 [1,-1,0,377964,29683408] 1 [5279:383519:1]
27846k (4 curves)	1	2+ 3- 7+ 13- 17+	2+ 3- -2 7+ -4 13- 17+ -4
Curve Equation t Generators 27846k1 [1,-1,0,-8268,273104] 2 [13:403:1] 27846k2 [1,-1,0,-129948,18062720] 4 [221:-429:1] 27846k3 [1,-1,0,-127608,18742724] 2 [185:-1293:1] 27846k4 [1,-1,0,-2079168,1154457980] 2 [833:-404:1]
27846l (1 curve)	0	2+ 3- 7+ 13- 17-	2+ 3-  1 7+  4 13- 17- -2
Curve Equation t 27846l1 [1,-1,0,-99,15637] 1
27846m (1 curve)	1	2+ 3- 7- 13+ 17+	2+ 3- -2 7-  3 13+ 17+  4
Curve Equation t Generators 27846m1 [1,-1,0,-224313,40959341] 1 [215:1516:1]
27846n (1 curve)	1	2+ 3- 7- 13+ 17+	2+ 3- -4 7-  2 13+ 17+  7
Curve Equation t Generators 27846n1 [1,-1,0,8766,625684] 1 [11:845:1]
27846o (1 curve)	0	2+ 3- 7- 13+ 17-	2+ 3-  1 7-  0 13+ 17- -6
Curve Equation t 27846o1 [1,-1,0,-299349,-63389709] 1
27846p (1 curve)	0	2+ 3- 7- 13+ 17-	2+ 3-  2 7- -1 13+ 17-  8
Curve Equation t 27846p1 [1,-1,0,-1251,-23531] 1
27846q (2 curves)	0	2+ 3- 7- 13+ 17-	2+ 3- -2 7- -2 13+ 17-  8
Curve Equation t 27846q1 [1,-1,0,-143509338,458562082356] 2 27846q2 [1,-1,0,391152582,3072096479700] 2
27846r (1 curve)	0	2+ 3- 7- 13+ 17-	2+ 3-  4 7- -2 13+ 17-  5
Curve Equation t 27846r1 [1,-1,0,-100395,12366783] 1
27846s (2 curves)	2	2+ 3- 7- 13+ 17-	2+ 3- -4 7- -4 13+ 17-  0
Curve Equation t Generators 27846s1 [1,-1,0,-2304,41904] 2 [-51:183:1]&[12:120:1] 27846s2 [1,-1,0,756,142884] 2 [-42:210:1]&[21:-420:1]
27846t (4 curves)	0	2+ 3- 7- 13- 17+	2+ 3-  0 7-  0 13- 17+ -4
Curve Equation t 27846t1 [1,-1,0,-42642,-3336876] 2 27846t2 [1,-1,0,-5202,-9020268] 2 27846t3 [1,-1,0,-348642,77660100] 6 27846t4 [1,-1,0,46818,243516024] 6
27846u (4 curves)	2	2+ 3- 7- 13- 17+	2+ 3- -2 7- -4 13- 17+ -4
Curve Equation t Generators 27846u1 [1,-1,0,-1638,-11340] 2 [-27:126:1]&[-11:78:1] 27846u2 [1,-1,0,-13158,576180] 4 [-93:1041:1]&[-370:8515:8] 27846u3 [1,-1,0,-918,1596996] 2 [-72:-1098:1]&[40:-1294:1] 27846u4 [1,-1,0,-209718,37018404] 2 [-456:6366:1]&[48:5178:1]
27846v (3 curves)	1	2+ 3- 7- 13- 17-	2+ 3- -3 7-  0 13- 17-  2
Curve Equation t Generators 27846v1 [1,-1,0,-3141,-66987] 1 [558:1503:8] 27846v2 [1,-1,0,819,-223587] 3 [57:48:1] 27846v3 [1,-1,0,-7371,6041763] 3 [267:4668:1]
27846w (1 curve)	1	2- 3+ 7+ 13+ 17-	2- 3+  2 7+ -2 13+ 17- -3
Curve Equation t Generators 27846w1 [1,-1,1,10096,2830195] 1 [205:3569:1]
27846x (1 curve)	1	2- 3+ 7+ 13- 17+	2- 3+  2 7+  2 13- 17+ -5
Curve Equation t Generators 27846x1 [1,-1,1,-704,-7019] 1 [4824022:49477241:39304]
27846y (2 curves)	0	2- 3+ 7+ 13- 17-	2- 3+ -4 7+  4 13- 17-  8
Curve Equation t 27846y1 [1,-1,1,-2,1405] 2 27846y2 [1,-1,1,-1892,31645] 2
27846z (2 curves)	1	2- 3+ 7- 13+ 17+	2- 3+  2 7-  0 13+ 17+  0
Curve Equation t Generators 27846z1 [1,-1,1,-47819,-1699109] 2 [-197:314:1] 27846z2 [1,-1,1,-635339,-194640677] 2 [-469:314:1]
27846ba (4 curves)	0	2- 3+ 7- 13- 17+	2- 3+  0 7-  0 13- 17+ -4
Curve Equation t 27846ba1 [1,-1,1,-1250,174305] 6 27846ba2 [1,-1,1,-55010,4948193] 6 27846ba3 [1,-1,1,11230,-4661279] 2 27846ba4 [1,-1,1,-359210,-79638335] 2
27846bb (1 curve)	1	2- 3+ 7- 13- 17-	2- 3+  2 7- -2 13- 17- -3
Curve Equation t Generators 27846bb1 [1,-1,1,-74,-35415] 1 [245:3699:1]
27846bc (2 curves)	1	2- 3- 7+ 13+ 17+	2- 3-  0 7+ -4 13+ 17+  8
Curve Equation t Generators 27846bc1 [1,-1,1,-1776245,908879501] 2 [939:-8732:1] 27846bc2 [1,-1,1,-992885,1714486925] 2 [171:-39452:1]
27846bd (4 curves)	1	2- 3- 7+ 13+ 17+	2- 3-  2 7+  0 13+ 17+ -4
Curve Equation t Generators 27846bd1 [1,-1,1,-7844,-265417] 2 [-8471045:3920239:166375] 27846bd2 [1,-1,1,-8024,-252457] 4 [11838:448487:8] 27846bd3 [1,-1,1,8986,-1191409] 2 [8381340:-72275197:85184] 27846bd4 [1,-1,1,-27914,1513775] 2 [1132580:4390127:8000]
27846be (1 curve)	0	2- 3- 7+ 13+ 17-	2- 3-  0 7+ -1 13+ 17- -1
Curve Equation t 27846be1 [1,-1,1,-13010,-573487] 1
27846bf (1 curve)	0	2- 3- 7+ 13+ 17-	2- 3- -1 7+  4 13+ 17-  6
Curve Equation t 27846bf1 [1,-1,1,5197,-27277] 1
27846bg (1 curve)	0	2- 3- 7+ 13- 17+	2- 3- -3 7+  0 13- 17+  6
Curve Equation t 27846bg1 [1,-1,1,121,1397] 1
27846bh (2 curves)	1	2- 3- 7+ 13- 17-	2- 3-  2 7+  2 13- 17- -8
Curve Equation t Generators 27846bh1 [1,-1,1,-1094,-7275] 2 [-25:75:1] 27846bh2 [1,-1,1,3586,-55947] 2 [27:231:1]
27846bi (4 curves)	0	2- 3- 7- 13+ 17+	2- 3-  2 7- -4 13+ 17+  4
Curve Equation t 27846bi1 [1,-1,1,-64139,3545115] 2 27846bi2 [1,-1,1,-896459,326818203] 4 27846bi3 [1,-1,1,-767939,423722283] 2 27846bi4 [1,-1,1,-14342099,20909403915] 2
27846bj (4 curves)	0	2- 3- 7- 13+ 17+	2- 3- -2 7-  4 13+ 17+ -4
Curve Equation t 27846bj1 [1,-1,1,-1024826,370097385] 2 27846bj2 [1,-1,1,-16058606,24772929081] 4 27846bj3 [1,-1,1,-15720476,25865765241] 2 27846bj4 [1,-1,1,-256937216,1585280916105] 2
27846bk (1 curve)	1	2- 3- 7- 13+ 17-	2- 3-  0 7- -2 13+ 17- -5
Curve Equation t Generators 27846bk1 [1,-1,1,-1683635,-1253121645] 1 [2675:-117006:1]
27846bl (1 curve)	1	2- 3- 7- 13- 17+	2- 3-  0 7-  2 13- 17+  5
Curve Equation t Generators 27846bl1 [1,-1,1,-14270,-680115] 1 [185:1635:1]
27846bm (1 curve)	1	2- 3- 7- 13- 17+	2- 3- -3 7- -4 13- 17+  2
Curve Equation t Generators 27846bm1 [1,-1,1,-7529,322089] 1 [77:-480:1]
27846bn (2 curves)	0	2- 3- 7- 13- 17-	2- 3-  0 7- -3 13- 17- -7
Curve Equation t 27846bn1 [1,-1,1,-410,-3355] 1 27846bn2 [1,-1,1,2515,2261] 3
27846bo (2 curves)	0	2- 3- 7- 13- 17-	2- 3-  0 7-  6 13- 17- -1
Curve Equation t 27846bo1 [1,-1,1,355,-601] 1 27846bo2 [1,-1,1,-4370,125273] 3
27846bp (2 curves)	0	2- 3- 7- 13- 17-	2- 3-  2 7-  2 13- 17-  8
Curve Equation t 27846bp1 [1,-1,1,-117399434,-489577081399] 2 27846bp2 [1,-1,1,-117324554,-490232850487] 2
27846bq (2 curves)	0	2- 3- 7- 13- 17-	2- 3-  2 7- -2 13- 17-  0
Curve Equation t 27846bq1 [1,-1,1,-100679,11488155] 2 27846bq2 [1,-1,1,97051,50955063] 2
27846br (4 curves)	0	2- 3- 7- 13- 17-	2- 3-  2 7- -4 13- 17- -4
Curve Equation t 27846br1 [1,-1,1,-464,7715] 4 27846br2 [1,-1,1,-9284,346403] 4 27846br3 [1,-1,1,-11174,196715] 2 27846br4 [1,-1,1,-148514,22066283] 2
27846bs (2 curves)	0	2- 3- 7- 13- 17-	2- 3-  3 7-  0 13- 17-  2
Curve Equation t 27846bs1 [1,-1,1,928399,-481379551] 1 27846bs2 [1,-1,1,-8880296,18311909483] 3

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

Part of Computational Number Theory
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