Cremona's table of elliptic curves

121550 = 2 · 5² · 11 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
121550a (4 curves)	1	2+ 5+ 11+ 13+ 17+	2+  0 5+  0 11+ 13+ 17+  4
Curve Equation t Generators 121550a1 [1,-1,0,116833,37985741] 2 [379:11498:1] 121550a2 [1,-1,0,-1235167,466569741] 4 [-1211:14218:1] 121550a3 [1,-1,0,-4992167,-3812653259] 2 [-1153323:-7528463:729] 121550a4 [1,-1,0,-19110167,32158944741] 2 [2459591937:-687368834:970299]
121550b (1 curve)	1	2+ 5+ 11+ 13+ 17+	2+  1 5+  5 11+ 13+ 17+ -1
Curve Equation t Generators 121550b1 [1,0,1,-46751,3942898] 1 [3909:10532:27]
121550c (1 curve)	1	2+ 5+ 11+ 13+ 17+	2+  3 5+  1 11+ 13+ 17+  5
Curve Equation t Generators 121550c1 [1,-1,0,664583,171029741] 1 [-1323102:435648751:35937]
121550d (2 curves)	0	2+ 5+ 11+ 13+ 17-	2+ -1 5+  4 11+ 13+ 17-  5
Curve Equation t 121550d1 [1,1,0,-26150,452500] 1 121550d2 [1,1,0,-1222150,-520535500] 1
121550e (2 curves)	0	2+ 5+ 11+ 13+ 17-	2+  2 5+ -4 11+ 13+ 17-  8
Curve Equation t 121550e1 [1,1,0,190484500,1346951954000] 2 121550e2 [1,1,0,-1294687500,13737741950000] 2
121550f (1 curve)	0	2+ 5+ 11+ 13- 17+	2+  0 5+ -3 11+ 13- 17+  0
Curve Equation t 121550f1 [1,-1,0,-32417,3626491] 1
121550g (1 curve)	1	2+ 5+ 11+ 13- 17-	2+  0 5+  1 11+ 13- 17-  0
Curve Equation t Generators 121550g1 [1,-1,0,-268273592,-1695299221184] 1 [34109170970013:5484078295992389:973242271]
121550h (2 curves)	1	2+ 5+ 11+ 13- 17-	2+  0 5+ -2 11+ 13- 17-  0
Curve Equation t Generators 121550h1 [1,-1,0,8708,-222384] 2 [649:16363:1] 121550h2 [1,-1,0,-43292,-1938384] 2 [-61:718:1]
121550i (1 curve)	1	2+ 5+ 11+ 13- 17-	2+  0 5+ -3 11+ 13- 17- -6
Curve Equation t Generators 121550i1 [1,-1,0,-3100742,2422948916] 1 [-1892:39858:1]
121550j (2 curves)	1	2+ 5+ 11+ 13- 17-	2+  2 5+  2 11+ 13- 17- -4
Curve Equation t Generators 121550j1 [1,1,0,-27650,1752500] 2 [91:-29:1] 121550j2 [1,1,0,-40650,-80500] 2 [23705:3637835:1]
121550k (1 curve)	1	2+ 5+ 11+ 13- 17-	2+  3 5+  0 11+ 13- 17-  6
Curve Equation t Generators 121550k1 [1,-1,0,-40027,-3074179] 1 [86237097:650394097:328509]
121550l (1 curve)	1	2+ 5+ 11+ 13- 17-	2+  3 5+ -2 11+ 13- 17- -3
Curve Equation t Generators 121550l1 [1,-1,0,-24442,-1233034] 1 [-2877:12001:27]
121550m (1 curve)	2	2+ 5+ 11- 13+ 17+	2+  0 5+ -5 11- 13+ 17+  2
Curve Equation t Generators 121550m1 [1,-1,0,-737,-2504339] 1 [4386:-36799:27]&[2094:30127:8]
121550n (4 curves)	1	2+ 5+ 11- 13+ 17-	2+  0 5+  0 11- 13+ 17-  4
Curve Equation t Generators 121550n1 [1,-1,0,433,29341] 2 [10:181:1] 121550n2 [1,-1,0,-12067,491841] 4 [-16:833:1] 121550n3 [1,-1,0,-33317,-1696909] 2 [233:1658:1] 121550n4 [1,-1,0,-190817,32130591] 2 [309:1458:1]
121550o (1 curve)	1	2+ 5+ 11- 13+ 17-	2+ -1 5+  0 11- 13+ 17- -5
Curve Equation t Generators 121550o1 [1,1,0,-275,1375] 1 [5:10:1]
121550p (1 curve)	1	2+ 5+ 11- 13+ 17-	2+ -1 5+ -1 11- 13+ 17- -7
Curve Equation t Generators 121550p1 [1,1,0,-1125,32125] 1 [70:515:1]
121550q (1 curve)	1	2+ 5+ 11- 13- 17+	2+  3 5+ -2 11- 13- 17+  1
Curve Equation t Generators 121550q1 [1,-1,0,-4792,7616] 1 [-24669:275347:729]
121550r (2 curves)	2	2+ 5+ 11- 13- 17-	2+  0 5+ -2 11- 13- 17- -2
Curve Equation t Generators 121550r1 [1,-1,0,-162292,25151616] 2 [-401:5263:1]&[-271:7148:1] 121550r2 [1,-1,0,-101792,44088116] 2 [-392:5058:1]&[-386:5268:1]
121550s (1 curve)	0	2+ 5- 11+ 13+ 17+	2+  2 5- -3 11+ 13+ 17+  2
Curve Equation t 121550s1 [1,1,0,-665,25925] 1
121550t (1 curve)	1	2+ 5- 11+ 13+ 17-	2+  2 5- -5 11+ 13+ 17- -6
Curve Equation t Generators 121550t1 [1,1,0,115,725] 1 [-5:10:1]
121550u (1 curve)	1	2+ 5- 11+ 13+ 17-	2+  3 5-  0 11+ 13+ 17-  2
Curve Equation t Generators 121550u1 [1,-1,0,-33367,-6127459] 1 [53369734125:28623644759297:185193]
121550v (1 curve)	1	2+ 5- 11+ 13- 17+	2+  1 5- -2 11+ 13- 17+  6
Curve Equation t Generators 121550v1 [1,0,1,-826,9298] 1 [2:86:1]
121550w (1 curve)	1	2+ 5- 11+ 13- 17+	2+ -1 5-  4 11+ 13- 17+ -2
Curve Equation t Generators 121550w1 [1,1,0,6925,182125] 1 [30:3635:8]
121550x (1 curve)	0	2+ 5- 11- 13+ 17-	2+  2 5-  3 11- 13+ 17- -6
Curve Equation t 121550x1 [1,1,0,-4605575,3803067125] 1
121550y (1 curve)	0	2+ 5- 11- 13- 17+	2+  1 5-  2 11- 13- 17+ -3
Curve Equation t 121550y1 [1,0,1,-18701,535048] 1
121550z (2 curves)	0	2+ 5- 11- 13- 17+	2+ -2 5-  0 11- 13- 17+  6
Curve Equation t 121550z1 [1,0,1,-826,-394452] 2 121550z2 [1,0,1,-85826,-9574452] 2
121550ba (1 curve)	1	2+ 5- 11- 13- 17-	2+ -1 5-  2 11- 13- 17-  1
Curve Equation t Generators 121550ba1 [1,1,0,-1505575,-123032875] 1 [-215:13920:1]
121550bb (1 curve)	0	2- 5+ 11+ 13+ 17+	2-  0 5+  3 11+ 13+ 17+  4
Curve Equation t 121550bb1 [1,-1,1,-655,-7153] 1
121550bc (1 curve)	0	2- 5+ 11+ 13+ 17+	2-  1 5+  2 11+ 13+ 17+  5
Curve Equation t 121550bc1 [1,0,0,-71938,-7432508] 1
121550bd (2 curves)	0	2- 5+ 11+ 13+ 17+	2- -1 5+  1 11+ 13+ 17+  5
Curve Equation t 121550bd1 [1,1,1,-52813,-4917969] 1 121550bd2 [1,1,1,-4334688,-3475446719] 1
121550be (4 curves)	0	2- 5+ 11+ 13+ 17+	2-  2 5+  4 11+ 13+ 17+ -4
Curve Equation t 121550be1 [1,1,1,-236388,-17314219] 2 121550be2 [1,1,1,862112,-131558219] 2 121550be3 [1,1,1,-15678763,-23901999719] 2 121550be4 [1,1,1,-15574763,-24234591719] 2
121550bf (1 curve)	0	2- 5+ 11+ 13+ 17+	2- -3 5+ -3 11+ 13+ 17+  7
Curve Equation t 121550bf1 [1,-1,1,-486855,-557764353] 1
121550bg (2 curves)	1	2- 5+ 11+ 13+ 17-	2-  0 5+  2 11+ 13+ 17-  4
Curve Equation t Generators 121550bg1 [1,-1,1,270,4397] 2 [-632:32685:512] 121550bg2 [1,-1,1,-2980,56397] 2 [-258:2875:8]
121550bh (1 curve)	1	2- 5+ 11+ 13+ 17-	2-  1 5+ -4 11+ 13+ 17- -2
Curve Equation t Generators 121550bh1 [1,0,0,277,1457] 1 [-4:19:1]
121550bi (1 curve)	1	2- 5+ 11+ 13+ 17-	2- -1 5+  2 11+ 13+ 17-  6
Curve Equation t Generators 121550bi1 [1,1,1,-33,61] 1 [38:29:8]
121550bj (2 curves)	1	2- 5+ 11+ 13+ 17-	2- -1 5+ -2 11+ 13+ 17- -7
Curve Equation t Generators 121550bj1 [1,1,1,-705563,174547281] 1 [-335:19492:1] 121550bj2 [1,1,1,-19064938,-32035608969] 1 [-2535:4667:1]
121550bk (2 curves)	1	2- 5+ 11+ 13+ 17-	2-  2 5+  2 11+ 13+ 17- -4
Curve Equation t Generators 121550bk1 [1,1,1,-1288,15781] 2 [38:769:8] 121550bk2 [1,1,1,-4538,-101219] 2 [340880:1162437:4096]
121550bl (2 curves)	1	2- 5+ 11+ 13+ 17-	2- -2 5+  2 11+ 13+ 17-  4
Curve Equation t Generators 121550bl1 [1,0,0,-250311213,1303511566417] 2 [-4542:1534175:1] 121550bl2 [1,0,0,-1102279213,-12821265905583] 2 [-14942:566975:1]
121550bm (4 curves)	1	2- 5+ 11+ 13- 17+	2-  0 5+  0 11+ 13- 17+ -4
Curve Equation t Generators 121550bm1 [1,-1,1,-1184380,496413247] 4 [229:15285:1] 121550bm2 [1,-1,1,-1192380,489373247] 4 [59:20445:1] 121550bm3 [1,-1,1,252620,1599133247] 2 [-301:38825:1] 121550bm4 [1,-1,1,-2765380,-1071042753] 2 [-425:5441:1]
121550bn (2 curves)	1	2- 5+ 11+ 13- 17+	2- -2 5+  0 11+ 13- 17+ -6
Curve Equation t Generators 121550bn1 [1,0,0,10537,-892583] 2 [96:955:1] 121550bn2 [1,0,0,-99963,-10506083] 2 [746:17799:1]
121550bo (1 curve)	1	2- 5+ 11+ 13- 17+	2-  3 5+  0 11+ 13- 17+ -1
Curve Equation t Generators 121550bo1 [1,-1,1,-4595272746255,3791536012668333247] 1 [1199582642511:1905363532970:970299]
121550bp (1 curve)	1	2- 5+ 11+ 13- 17+	2- -3 5+  0 11+ 13- 17+  2
Curve Equation t Generators 121550bp1 [1,-1,1,-1335,-48753] 1 [63:306:1]
121550bq (4 curves)	0	2- 5+ 11+ 13- 17-	2-  0 5+  0 11+ 13- 17-  0
Curve Equation t 121550bq1 [1,-1,1,431645,44634147] 4 121550bq2 [1,-1,1,-1880355,372938147] 4 121550bq3 [1,-1,1,-16245355,-24938191853] 2 121550bq4 [1,-1,1,-24507355,46667780147] 2
121550br (1 curve)	0	2- 5+ 11+ 13- 17-	2-  3 5+ -4 11+ 13- 17-  5
Curve Equation t 121550br1 [1,-1,1,-42367605,-105768251603] 1
121550bs (1 curve)	1	2- 5+ 11- 13+ 17+	2-  0 5+  1 11- 13+ 17+  4
Curve Equation t Generators 121550bs1 [1,-1,1,-1630,-26003] 1 [49:75:1]
121550bt (2 curves)	1	2- 5+ 11- 13+ 17+	2-  0 5+ -2 11- 13+ 17+ -2
Curve Equation t Generators 121550bt1 [1,-1,1,-52980855,135384717647] 2 [2259:163870:1] 121550bt2 [1,-1,1,64147145,650045149647] 2 [28879:5141810:1]
121550bu (1 curve)	1	2- 5+ 11- 13+ 17+	2-  1 5+  2 11- 13+ 17+  7
Curve Equation t Generators 121550bu1 [1,0,0,-41438,-1359508] 1 [-118:1434:1]
121550bv (4 curves)	0	2- 5+ 11- 13- 17+	2-  0 5+  4 11- 13- 17+ -4
Curve Equation t 121550bv1 [1,-1,1,23120,-694253] 2 121550bv2 [1,-1,1,-104880,-5814253] 4 121550bv3 [1,-1,1,-852880,299369747] 2 121550bv4 [1,-1,1,-1404880,-640214253] 2
121550bw (1 curve)	1	2- 5+ 11- 13- 17-	2- -1 5+ -3 11- 13- 17- -3
Curve Equation t Generators 121550bw1 [1,1,1,7787,81531] 1 [95:1252:1]
121550bx (2 curves)	1	2- 5+ 11- 13- 17-	2-  2 5+  0 11- 13- 17-  0
Curve Equation t Generators 121550bx1 [1,1,1,-5588,-1274219] 2 [1061:33945:1] 121550bx2 [1,1,1,-213588,-37882219] 2 [705:12397:1]
121550by (1 curve)	1	2- 5- 11+ 13+ 17+	2-  0 5-  3 11+ 13+ 17+ -6
Curve Equation t Generators 121550by1 [1,-1,1,-124030,19408397] 1 [185:-1757:1]
121550bz (1 curve)	1	2- 5- 11+ 13+ 17+	2- -3 5-  0 11+ 13+ 17+  6
Curve Equation t Generators 121550bz1 [1,-1,1,-1000680,-385273053] 1 [3983393717936695:255794842186309837:898352786449]
121550ca (1 curve)	0	2- 5- 11+ 13- 17+	2- -2 5-  5 11+ 13- 17+ -6
Curve Equation t 121550ca1 [1,0,0,2862,84892] 1
121550cb (1 curve)	1	2- 5- 11+ 13- 17-	2- -2 5-  3 11+ 13- 17-  2
Curve Equation t Generators 121550cb1 [1,0,0,-16638,3273892] 1 [102:-1676:1]
121550cc (1 curve)	0	2- 5- 11- 13+ 17+	2-  1 5- -2 11- 13+ 17+  1
Curve Equation t 121550cc1 [1,0,0,-60223,-984263] 1
121550cd (1 curve)	1	2- 5- 11- 13+ 17-	2- -1 5- -2 11- 13+ 17- -3
Curve Equation t Generators 121550cd1 [1,1,1,-748,3981] 1 [-15:117:1]
121550ce (2 curves)	1	2- 5- 11- 13+ 17-	2-  2 5-  0 11- 13+ 17-  6
Curve Equation t Generators 121550ce1 [1,1,1,-33,-3169] 2 [195:2632:1] 121550ce2 [1,1,1,-3433,-77969] 2 [5367:69466:27]
121550cf (1 curve)	1	2- 5- 11- 13- 17+	2- -2 5- -3 11- 13- 17+ -6
Curve Equation t Generators 121550cf1 [1,0,0,-184223,30424537] 1 [202:1109:1]
121550cg (1 curve)	0	2- 5- 11- 13- 17-	2-  0 5-  5 11- 13- 17-  2
Curve Equation t 121550cg1 [1,-1,1,-18430,-313060803] 1

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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