Cremona's table of elliptic curves

105270 = 2 · 3 · 5 · 11² · 29

Class	r	Atkin-Lehner	Eigenvalues
105270a (1 curve)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+  1 11+  2  0 -6
Curve Equation t Generators 105270a1 [1,1,0,194687,-80402813] 1 [59959:14652445:1]
105270b (1 curve)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+ -2 11+  1  7  6
Curve Equation t Generators 105270b1 [1,1,0,317,-227] 1 [6:41:1]
105270c (2 curves)	0	2+ 3+ 5+ 11+ 29-	2+ 3+ 5+  0 11+ -4  2 -2
Curve Equation t 105270c1 [1,1,0,-2444213,-1471220307] 2 105270c2 [1,1,0,-2852533,-946855763] 2
105270d (1 curve)	0	2+ 3+ 5+ 11+ 29-	2+ 3+ 5+  2 11+  7  3 -2
Curve Equation t 105270d1 [1,1,0,-21518,1423668] 1
105270e (4 curves)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+  0 11-  2 -2  0
Curve Equation t 105270e1 [1,1,0,921292,-66712752] 2 105270e2 [1,1,0,-3763828,-543657968] 4 105270e3 [1,1,0,-37038828,86257507032] 2 105270e4 [1,1,0,-45450748,-117775614392] 2
105270f (2 curves)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+  2 11-  0  2  8
Curve Equation t 105270f1 [1,1,0,-1333,2413] 2 105270f2 [1,1,0,-15853,760357] 2
105270g (1 curve)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+  2 11- -6  2  5
Curve Equation t 105270g1 [1,1,0,-155971543,885773363413] 1
105270h (1 curve)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+ -4 11-  4  7  5
Curve Equation t 105270h1 [1,1,0,25892,330202] 1
105270i (1 curve)	0	2+ 3+ 5- 11+ 29+	2+ 3+ 5-  3 11+  6  0  6
Curve Equation t 105270i1 [1,1,0,-1760552,-2650128576] 1
105270j (1 curve)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5-  0 11-  4  3 -1
Curve Equation t Generators 105270j1 [1,1,0,4066808,-4216445504] 1 [21366:1271917:8]
105270k (1 curve)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5-  2 11-  2  1  3
Curve Equation t Generators 105270k1 [1,1,0,-438627,-2208148851] 1 [3185:167868:1]
105270l (1 curve)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5- -2 11- -2  2  4
Curve Equation t Generators 105270l1 [1,1,0,7753,-246891] 1 [53:536:1]
105270m (4 curves)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5-  4 11- -6 -2  4
Curve Equation t Generators 105270m1 [1,1,0,-8702322,9805695156] 2 [667436:-5699478:343] 105270m2 [1,1,0,-138956402,630414284724] 4 [47414:958813:8] 105270m3 [1,1,0,-138675682,633088591876] 2 [4692:290474:1] 105270m4 [1,1,0,-2223302402,40349294791524] 2 [111505168:-55528479:4096]
105270n (1 curve)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5- -4 11- -1  1  6
Curve Equation t Generators 105270n1 [1,1,0,-877252,315949264] 1 [-280:23372:1]
105270o (4 curves)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5- -4 11-  2 -2  0
Curve Equation t Generators 105270o1 [1,1,0,-30252,-2034864] 2 [296:3732:1] 105270o2 [1,1,0,-39932,-635136] 4 [-137:1581:1] 105270o3 [1,1,0,156088,-4829964] 2 [182:5354:1] 105270o4 [1,1,0,-390832,93335884] 2 [1139:33008:1]
105270p (1 curve)	2	2+ 3+ 5- 11- 29-	2+ 3+ 5- -1 11-  0 -2 -2
Curve Equation t Generators 105270p1 [1,1,0,7863,1054629] 1 [-27:-894:1]&[-546:3903:8]
105270q (1 curve)	0	2+ 3+ 5- 11- 29-	2+ 3+ 5-  2 11-  2  6  3
Curve Equation t 105270q1 [1,1,0,603,17901] 1
105270r (2 curves)	0	2+ 3+ 5- 11- 29-	2+ 3+ 5-  4 11-  4  2 -2
Curve Equation t 105270r1 [1,1,0,-212962,-37184396] 2 105270r2 [1,1,0,19358,-113710604] 2
105270s (1 curve)	1	2+ 3- 5+ 11- 29+	2+ 3- 5+  2 11-  6 -6 -4
Curve Equation t Generators 105270s1 [1,0,1,-14039,639362] 1 [66:-71:1]
105270t (2 curves)	1	2+ 3- 5+ 11- 29+	2+ 3- 5+ -2 11-  2  6  4
Curve Equation t Generators 105270t1 [1,0,1,-14039,-14038] 2 [-45:748:1] 105270t2 [1,0,1,56141,-98254] 2 [208:-4642:1]
105270u (1 curve)	1	2+ 3- 5+ 11- 29+	2+ 3- 5+  4 11-  5 -7  6
Curve Equation t Generators 105270u1 [1,0,1,38596,80349806] 1 [-375:3817:1]
105270v (1 curve)	1	2+ 3- 5+ 11- 29+	2+ 3- 5+ -5 11-  0 -2  2
Curve Equation t Generators 105270v1 [1,0,1,-5240647459,-149374289521954] 1 [4320737196774780:370709305900115149:49552182217]
105270w (4 curves)	0	2+ 3- 5+ 11- 29-	2+ 3- 5+  0 11-  2 -2  4
Curve Equation t 105270w1 [1,0,1,-12224,518846] 2 105270w2 [1,0,1,-14644,298142] 4 105270w3 [1,0,1,51906,2268022] 2 105270w4 [1,0,1,-119914,-15787114] 2
105270x (1 curve)	0	2+ 3- 5+ 11- 29-	2+ 3- 5+  0 11- -4  7  7
Curve Equation t 105270x1 [1,0,1,-891894,-335645048] 1
105270y (1 curve)	0	2+ 3- 5+ 11- 29-	2+ 3- 5+  4 11-  3 -3 -2
Curve Equation t 105270y1 [1,0,1,-58809,7048732] 1
105270z (1 curve)	1	2+ 3- 5- 11+ 29+	2+ 3- 5- -2 11+  3 -5 -2
Curve Equation t Generators 105270z1 [1,0,1,-92951488,-530544908962] 1 [14629:-1121065:1]
105270ba (1 curve)	1	2+ 3- 5- 11+ 29+	2+ 3- 5-  3 11+ -2  0 -2
Curve Equation t Generators 105270ba1 [1,0,1,-3413,76448] 1 [32:0:1]
105270bb (2 curves)	2	2+ 3- 5- 11+ 29-	2+ 3- 5- -4 11+  0  2 -6
Curve Equation t Generators 105270bb1 [1,0,1,-4293,104608] 2 [59:-270:1]&[-56:440:1] 105270bb2 [1,0,1,-10673,-280744] 2 [195:-2348:1]&[120:352:1]
105270bc (4 curves)	1	2+ 3- 5- 11- 29-	2+ 3- 5-  2 11- -4  2  0
Curve Equation t Generators 105270bc1 [1,0,1,-542083,33531518] 2 [-386:13805:1] 105270bc2 [1,0,1,-5246563,-4597558594] 2 [-1250:3437:1] 105270bc3 [1,0,1,-258526183,1599922940438] 2 [9162:15565:1] 105270bc4 [1,0,1,-258529813,1599875763506] 2 [9156:14569:1]
105270bd (2 curves)	1	2+ 3- 5- 11- 29-	2+ 3- 5-  2 11-  6 -3  5
Curve Equation t Generators 105270bd1 [1,0,1,-26623,-5883022] 1 [274:2585:1] 105270bd2 [1,0,1,-1315273,862144358] 1 [-408:36685:1]
105270be (2 curves)	1	2+ 3- 5- 11- 29-	2+ 3- 5- -2 11-  4 -6 -4
Curve Equation t Generators 105270be1 [1,0,1,-608,3386] 2 [-74:759:8] 105270be2 [1,0,1,-4238,-104062] 2 [-266:279:8]
105270bf (2 curves)	0	2- 3+ 5+ 11+ 29+	2- 3+ 5+  0 11+  4 -2  2
Curve Equation t 105270bf1 [1,1,1,-295749836,1956715479533] 2 105270bf2 [1,1,1,-345156556,1258539237869] 2
105270bg (1 curve)	0	2- 3+ 5+ 11+ 29+	2- 3+ 5+ -2 11+ -7 -3  2
Curve Equation t 105270bg1 [1,1,1,-2603741,-1907920717] 1
105270bh (1 curve)	1	2- 3+ 5+ 11+ 29-	2- 3+ 5+ -1 11+ -2  0  6
Curve Equation t Generators 105270bh1 [1,1,1,1609,61139] 1 [2118:33929:8]
105270bi (1 curve)	1	2- 3+ 5+ 11+ 29-	2- 3+ 5+  2 11+ -1 -7 -6
Curve Equation t Generators 105270bi1 [1,1,1,38294,493703] 1 [2107:96109:1]
105270bj (1 curve)	1	2- 3+ 5+ 11- 29+	2- 3+ 5+  0 11-  0  5  1
Curve Equation t Generators 105270bj1 [1,1,1,-28861,-1930411] 1 [11849918215396922:344276499584505041:13074203857112]
105270bk (1 curve)	1	2- 3+ 5+ 11- 29+	2- 3+ 5+  0 11-  5 -5  6
Curve Equation t Generators 105270bk1 [1,1,1,29150894,-154479386401] 1 [4153:193459:1]
105270bl (1 curve)	1	2- 3+ 5+ 11- 29+	2- 3+ 5+  3 11- -4 -2  6
Curve Equation t Generators 105270bl1 [1,1,1,-8896,-381127] 1 [119:453:1]
105270bm (1 curve)	0	2- 3+ 5+ 11- 29-	2- 3+ 5+ -2 11-  6 -2 -5
Curve Equation t 105270bm1 [1,1,1,-1289021,-666080557] 1
105270bn (1 curve)	2	2- 3+ 5- 11+ 29-	2- 3+ 5- -3 11+ -6  0 -6
Curve Equation t Generators 105270bn1 [1,1,1,-14550,1984467] 1 [-93:-1549:1]&[127:1421:1]
105270bo (4 curves)	0	2- 3+ 5- 11- 29+	2- 3+ 5-  0 11-  6  2  4
Curve Equation t 105270bo1 [1,1,1,-10590,-400245] 2 105270bo2 [1,1,1,-32370,1742907] 4 105270bo3 [1,1,1,72900,10838235] 2 105270bo4 [1,1,1,-486120,130244907] 2
105270bp (1 curve)	0	2- 3+ 5- 11- 29+	2- 3+ 5- -2 11- -2 -6 -3
Curve Equation t 105270bp1 [1,1,1,72900,-23461635] 1
105270bq (4 curves)	0	2- 3+ 5- 11- 29+	2- 3+ 5-  4 11- -2  2 -8
Curve Equation t 105270bq1 [1,1,1,-27665745,-56020890705] 2 105270bq2 [1,1,1,-28014225,-54537620433] 4 105270bq3 [1,1,1,17360775,-214130570433] 2 105270bq4 [1,1,1,-78964905,199991596575] 2
105270br (4 curves)	0	2- 3+ 5- 11- 29+	2- 3+ 5- -4 11-  2 -6 -4
Curve Equation t 105270br1 [1,1,1,-96500,-3545035] 2 105270br2 [1,1,1,-880580,315105077] 4 105270br3 [1,1,1,-248960,758754965] 2 105270br4 [1,1,1,-14057480,20280743957] 2
105270bs (1 curve)	1	2- 3+ 5- 11- 29-	2- 3+ 5-  2 11-  2 -2 -4
Curve Equation t Generators 105270bs1 [1,1,1,938050,333302267] 1 [897:43111:1]
105270bt (4 curves)	0	2- 3- 5+ 11- 29+	2- 3- 5+ -2 11-  4  6  4
Curve Equation t 105270bt1 [1,0,0,-342251,-74633679] 2 105270bt2 [1,0,0,-864971,207739665] 2 105270bt3 [1,0,0,-3974066,3025325700] 2 105270bt4 [1,0,0,-63447986,194519453316] 2
105270bu (1 curve)	0	2- 3- 5+ 11- 29+	2- 3- 5+  3 11- -4  6 -2
Curve Equation t 105270bu1 [1,0,0,-33965287881,-2545113630897639] 1
105270bv (2 curves)	0	2- 3- 5+ 11- 29+	2- 3- 5+  4 11-  0 -2  2
Curve Equation t 105270bv1 [1,0,0,-35516,-1814064] 2 105270bv2 [1,0,0,95164,-12033240] 2
105270bw (2 curves)	0	2- 3- 5+ 11- 29+	2- 3- 5+ -4 11- -4  6 -2
Curve Equation t 105270bw1 [1,0,0,-43986,3546720] 2 105270bw2 [1,0,0,-40356,4157286] 2
105270bx (2 curves)	1	2- 3- 5+ 11- 29-	2- 3- 5+  1 11-  4  6 -2
Curve Equation t Generators 105270bx1 [1,0,0,-8641641,-9778549329] 1 [439465428:40038422795:46656] 105270bx2 [1,0,0,-8407506,-10333350180] 1 [221502:18455368:27]
105270by (2 curves)	1	2- 3- 5+ 11- 29-	2- 3- 5+ -2 11- -2  3  7
Curve Equation t Generators 105270by1 [1,0,0,12884,11150360] 1 [-34:3284:1] 105270by2 [1,0,0,-3401131,2414365361] 1 [1418:20345:1]
105270bz (1 curve)	1	2- 3- 5+ 11- 29-	2- 3- 5+ -2 11- -6  6  4
Curve Equation t Generators 105270bz1 [1,0,0,-1698661,-852689815] 1 [22448:3346301:1]
105270ca (1 curve)	1	2- 3- 5+ 11- 29-	2- 3- 5+  4 11-  0 -3 -5
Curve Equation t Generators 105270ca1 [1,0,0,3204,-71664] 1 [98:1040:1]
105270cb (2 curves)	0	2- 3- 5- 11+ 29+	2- 3- 5-  4 11+  0 -2  6
Curve Equation t 105270cb1 [1,0,0,-519395,-139752975] 2 105270cb2 [1,0,0,-1291375,372378557] 2
105270cc (1 curve)	1	2- 3- 5- 11+ 29-	2- 3- 5-  2 11+ -3  5  2
Curve Equation t Generators 105270cc1 [1,0,0,-11247129990,706144026698100] 1 [2430:26053110:1]
105270cd (1 curve)	1	2- 3- 5- 11+ 29-	2- 3- 5- -3 11+  2  0  2
Curve Equation t Generators 105270cd1 [1,0,0,-412915,-102165535] 1 [32214:880987:27]
105270ce (1 curve)	1	2- 3- 5- 11- 29+	2- 3- 5-  0 11- -1  3 -2
Curve Equation t Generators 105270ce1 [1,0,0,-136430,-19444248] 1 [604:10588:1]
105270cf (4 curves)	1	2- 3- 5- 11- 29+	2- 3- 5-  0 11-  2 -6  0
Curve Equation t Generators 105270cf1 [1,0,0,-13615,151097] 2 [-58:893:1] 105270cf2 [1,0,0,-168495,26573625] 4 [-210:7365:1] 105270cf3 [1,0,0,-120095,42168105] 2 [-188:7717:1] 105270cf4 [1,0,0,-2694975,1702640457] 2 [948:-459:1]
105270cg (4 curves)	1	2- 3- 5- 11- 29+	2- 3- 5-  0 11-  2 -6  4
Curve Equation t Generators 105270cg1 [1,0,0,-2944840,1294529600] 2 [400:13240:1] 105270cg2 [1,0,0,-42594120,106975720512] 4 [115968:-1601944:27] 105270cg3 [1,0,0,-38102600,130418760000] 2 [-2300:454900:1] 105270cg4 [1,0,0,-681474120,6847287496512] 2 [15344:50408:1]
105270ch (1 curve)	1	2- 3- 5- 11- 29+	2- 3- 5- -3 11- -4  6 -6
Curve Equation t Generators 105270ch1 [1,0,0,3930,72810] 1 [2708:34583:64]
105270ci (4 curves)	0	2- 3- 5- 11- 29-	2- 3- 5-  0 11-  2  2  0
Curve Equation t 105270ci1 [1,0,0,-28740,-17449200] 2 105270ci2 [1,0,0,-1200020,-503061888] 4 105270ci3 [1,0,0,-1972000,223062500] 4 105270ci4 [1,0,0,-19168520,-32303713188] 2
105270cj (2 curves)	0	2- 3- 5- 11- 29-	2- 3- 5-  4 11-  4 -3  1
Curve Equation t 105270cj1 [1,0,0,-332857390,-2337440599900] 1 105270cj2 [1,0,0,-308581765,-2692807299775] 1
105270ck (4 curves)	0	2- 3- 5- 11- 29-	2- 3- 5-  4 11-  4  6 -2
Curve Equation t 105270ck1 [1,0,0,-6960,-81828] 2 105270ck2 [1,0,0,25710,-624150] 2 105270ck3 [1,0,0,-306435,65263617] 2 105270ck4 [1,0,0,-291915,71730825] 2

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

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