Cremona's table of elliptic curves

105350 = 2 · 5² · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
105350a (1 curve)	0	2+ 5+ 7+ 43-	2+  1 5+ 7+  2  5 -2 -4
Curve Equation t 105350a1 [1,0,1,-1251,15138] 1
105350b (1 curve)	0	2+ 5+ 7+ 43-	2+  2 5+ 7+  2 -1 -8  0
Curve Equation t 105350b1 [1,1,0,-730125,240588125] 1
105350c (1 curve)	0	2+ 5+ 7+ 43-	2+ -2 5+ 7+  2  2  4 -7
Curve Equation t 105350c1 [1,0,1,-54195251,196525576398] 1
105350d (1 curve)	0	2+ 5+ 7+ 43-	2+ -2 5+ 7+  2  7  4  8
Curve Equation t 105350d1 [1,0,1,-44126,-3574602] 1
105350e (2 curves)	0	2+ 5+ 7- 43+	2+  1 5+ 7- -3  2  0  1
Curve Equation t 105350e1 [1,0,1,1450374,553151148] 1 105350e2 [1,0,1,-34368626,78335163148] 1
105350f (2 curves)	0	2+ 5+ 7- 43+	2+  2 5+ 7-  4 -2 -6  8
Curve Equation t 105350f1 [1,1,0,-900,9500] 2 105350f2 [1,1,0,-2650,-41250] 2
105350g (2 curves)	0	2+ 5+ 7- 43+	2+ -2 5+ 7-  4  2  6 -8
Curve Equation t 105350g1 [1,0,1,-44126,-3390852] 2 105350g2 [1,0,1,-129876,13759148] 2
105350h (3 curves)	0	2+ 5+ 7- 43+	2+ -2 5+ 7- -6  5 -6  7
Curve Equation t 105350h1 [1,0,1,4874,-671352] 1 105350h2 [1,0,1,-44126,18732648] 1 105350h3 [1,0,1,-6891876,6963404648] 1
105350i (2 curves)	1	2+ 5+ 7- 43-	2+  0 5+ 7-  4  6 -4  6
Curve Equation t Generators 105350i1 [1,-1,0,-13270042,76871800116] 2 [-1045112:158705581:512] 105350i2 [1,-1,0,-364502042,2671422584116] 2 [96462:1321319:8]
105350j (4 curves)	1	2+ 5+ 7- 43-	2+  0 5+ 7- -4  2  6 -4
Curve Equation t Generators 105350j1 [1,-1,0,-1908167,1014391741] 2 [-1391:31933:1] 105350j2 [1,-1,0,-2300167,567903741] 4 [-38517:849071:27] 105350j3 [1,-1,0,8234833,4307828741] 2 [-6210039:-1925355694:35937] 105350j4 [1,-1,0,-19107167,-31751957259] 2 [105989:34422793:1]
105350k (1 curve)	1	2+ 5+ 7- 43-	2+  0 5+ 7-  5 -7 -6 -4
Curve Equation t Generators 105350k1 [1,-1,0,24883,-2250459] 1 [450:9771:1]
105350l (1 curve)	1	2+ 5+ 7- 43-	2+  1 5+ 7- -1  2 -4  5
Curve Equation t Generators 105350l1 [1,0,1,-1076,21298] 1 [-38:106:1]
105350m (1 curve)	1	2+ 5+ 7- 43-	2+  1 5+ 7- -5 -2 -4  3
Curve Equation t Generators 105350m1 [1,0,1,42849,-943302] 1 [1362:50156:1]
105350n (1 curve)	1	2+ 5+ 7- 43-	2+  1 5+ 7- -5 -2  5  3
Curve Equation t Generators 105350n1 [1,0,1,167799,42649548] 1 [3798:233619:1]
105350o (1 curve)	1	2+ 5+ 7- 43-	2+ -1 5+ 7- -1  2 -4  1
Curve Equation t Generators 105350o1 [1,1,0,-30650,129572500] 1 [4150:125325:8]
105350p (1 curve)	1	2+ 5+ 7- 43-	2+ -1 5+ 7- -1 -2  4 -5
Curve Equation t Generators 105350p1 [1,1,0,-52700,-7358000] 1 [19865:2789805:1]
105350q (1 curve)	1	2+ 5+ 7- 43-	2+ -1 5+ 7-  2 -5  2  4
Curve Equation t Generators 105350q1 [1,1,0,-25,-55] 1 [-4:3:1]
105350r (1 curve)	1	2+ 5+ 7- 43-	2+  2 5+ 7- -1 -1  2  4
Curve Equation t Generators 105350r1 [1,1,0,-3455,-133195] 1 [7846:691093:1]
105350s (1 curve)	1	2+ 5+ 7- 43-	2+  2 5+ 7- -1  7  2  4
Curve Equation t Generators 105350s1 [1,1,0,5485876315,-6000794590195] 1 [2288701699738411346500514117183966357210899679912976019650761234992803353297347026150380599529827161494:961430597663463352684726691395166244562160249324016464842787817076375566981034125952737480474914684984117:59410696197285822738461913365626280892128320047022194101585829126997916894868105641094199450137839]
105350t (1 curve)	1	2+ 5+ 7- 43-	2+  2 5+ 7-  2 -2 -4  7
Curve Equation t Generators 105350t1 [1,1,0,-1106025,-573434875] 1 [1385438340159341217068870685147167:55016057429981066436340713658180886:621924930315755888056152230377]
105350u (1 curve)	1	2+ 5+ 7- 43-	2+  2 5+ 7-  2 -7 -4 -8
Curve Equation t Generators 105350u1 [1,1,0,-2162150,1223926250] 1 [16405900:104072275:21952]
105350v (1 curve)	1	2+ 5+ 7- 43-	2+ -2 5+ 7-  2  1  8  0
Curve Equation t Generators 105350v1 [1,0,1,-14901,-703552] 1 [401024:3386027:2197]
105350w (1 curve)	1	2+ 5+ 7- 43-	2+ -2 5+ 7- -2 -5  2 -3
Curve Equation t Generators 105350w1 [1,0,1,-1733401,-889154052] 1 [2122600725706:96804128716938:746142643]
105350x (2 curves)	1	2+ 5+ 7- 43-	2+ -2 5+ 7- -4  4  2  6
Curve Equation t Generators 105350x1 [1,0,1,-30651,3123698] 2 [88:-1098:1] 105350x2 [1,0,1,-557401,160095198] 2 [-668:15646:1]
105350y (1 curve)	1	2+ 5+ 7- 43-	2+ -3 5+ 7- -1  2 -3 -1
Curve Equation t Generators 105350y1 [1,-1,0,-595702,-176819084] 1 [7415:631161:1]
105350z (1 curve)	0	2+ 5- 7+ 43+	2+  0 5- 7+ -6  2  8  1
Curve Equation t 105350z1 [1,-1,0,12281008,-28499235584] 1
105350ba (1 curve)	0	2+ 5- 7+ 43+	2+  2 5- 7+  6 -6  5 -2
Curve Equation t 105350ba1 [1,1,0,-35550,-2178700] 1
105350bb (2 curves)	1	2+ 5- 7+ 43-	2+  1 5- 7+ -6 -1 -6 -4
Curve Equation t Generators 105350bb1 [1,0,1,-4926,4848] 3 [-27:357:1] 105350bb2 [1,0,1,-268301,-53512952] 1 [-8079:4538:27]
105350bc (1 curve)	1	2+ 5- 7+ 43-	2+ -2 5- 7+ -3 -3 -6  3
Curve Equation t Generators 105350bc1 [1,0,1,-610076,-199569702] 1 [2302:101786:1]
105350bd (1 curve)	1	2+ 5- 7+ 43-	2+ -2 5- 7+ -4 -2  2  7
Curve Equation t Generators 105350bd1 [1,0,1,-267076,-54480702] 1 [886:19671:1]
105350be (1 curve)	1	2+ 5- 7+ 43-	2+ -2 5- 7+  6 -2 -3  2
Curve Equation t Generators 105350be1 [1,0,1,-205826,35924298] 1 [202:1511:1]
105350bf (1 curve)	1	2+ 5- 7- 43+	2+  0 5- 7- -6 -2 -8 -1
Curve Equation t Generators 105350bf1 [1,-1,0,250633,83016541] 1 [843:29459:1]
105350bg (1 curve)	1	2+ 5- 7- 43+	2+  1 5- 7-  1  2 -1  1
Curve Equation t Generators 105350bg1 [1,0,1,85724,-1835102] 1 [436216:10218251:1331]
105350bh (1 curve)	1	2+ 5- 7- 43+	2+ -1 5- 7-  1 -4  5  3
Curve Equation t Generators 105350bh1 [1,1,0,-39278636450,3001239549296500] 1 [2767227860810732978302778:1525455187487315505134901133:49105980182500708888]
105350bi (1 curve)	1	2+ 5- 7- 43+	2+ -1 5- 7-  1 -4 -5  3
Curve Equation t Generators 105350bi1 [1,1,0,-450825,-128577875] 1 [87030:9016585:8]
105350bj (1 curve)	1	2+ 5- 7- 43+	2+  2 5- 7- -5 -7 -2  0
Curve Equation t Generators 105350bj1 [1,1,0,-50191950,-136888343500] 1 [10511241454580:25422979157510:1284365503]
105350bk (1 curve)	1	2+ 5- 7- 43+	2+ -2 5- 7-  6  6 -5  2
Curve Equation t Generators 105350bk1 [1,0,1,-726,6248] 1 [-8:111:1]
105350bl (1 curve)	1	2+ 5- 7- 43+	2+  3 5- 7-  1  4  1 -1
Curve Equation t Generators 105350bl1 [1,-1,0,-36367,-5129209] 1 [7630035930:230104078433:7762392]
105350bm (1 curve)	1	2+ 5- 7- 43+	2+ -3 5- 7-  5 -2  3  5
Curve Equation t Generators 105350bm1 [1,-1,0,-17992,1565416] 1 [-145:1126:1]
105350bn (2 curves)	0	2+ 5- 7- 43-	2+  0 5- 7-  4  2  6  4
Curve Equation t 105350bn1 [1,-1,0,-30242,1246916] 2 105350bn2 [1,-1,0,92258,8719416] 2
105350bo (2 curves)	0	2+ 5- 7- 43-	2+ -1 5- 7-  3  4  3 -5
Curve Equation t 105350bo1 [1,1,0,-5112233725,-140692464868675] 1 105350bo2 [1,1,0,-4332809100,-185046434932400] 1
105350bp (1 curve)	0	2+ 5- 7- 43-	2+ -1 5- 7-  3 -4  3 -5
Curve Equation t 105350bp1 [1,1,0,-1792200,954904000] 1
105350bq (2 curves)	0	2+ 5- 7- 43-	2+ -1 5- 7- -6  1  6  4
Curve Equation t 105350bq1 [1,1,0,-241350,-1904300] 1 105350bq2 [1,1,0,-13146725,18341795725] 1
105350br (1 curve)	0	2+ 5- 7- 43-	2+  2 5- 7- -3  3  6 -3
Curve Equation t 105350br1 [1,1,0,-12450,576500] 1
105350bs (1 curve)	2	2+ 5- 7- 43-	2+  2 5- 7- -4  2 -2 -7
Curve Equation t Generators 105350bs1 [1,1,0,-5450,156500] 1 [49:76:1]&[85:520:1]
105350bt (1 curve)	0	2+ 5- 7- 43-	2+  2 5- 7-  6  2  3 -2
Curve Equation t 105350bt1 [1,1,0,-10085450,-12332119750] 1
105350bu (1 curve)	0	2+ 5- 7- 43-	2+  3 5- 7-  3  0  7  7
Curve Equation t 105350bu1 [1,-1,0,4058,12116] 1
105350bv (2 curves)	0	2- 5+ 7+ 43+	2- -1 5+ 7+ -6  1  6 -4
Curve Equation t 105350bv1 [1,1,1,-123138,606031] 1 105350bv2 [1,1,1,-6707513,-6689118969] 1
105350bw (1 curve)	0	2- 5+ 7+ 43+	2-  2 5+ 7+  0 -1  0  5
Curve Equation t 105350bw1 [1,1,1,3037,-1194719] 1
105350bx (1 curve)	0	2- 5+ 7+ 43+	2-  2 5+ 7+  6  2  3  2
Curve Equation t 105350bx1 [1,1,1,-8233,284101] 1
105350by (2 curves)	0	2- 5+ 7+ 43+	2-  2 5+ 7+  6 -2  0  5
Curve Equation t 105350by1 [1,1,1,1812,-6469] 1 105350by2 [1,1,1,-28813,-1966469] 1
105350bz (1 curve)	1	2- 5+ 7+ 43-	2-  0 5+ 7+ -2 -5 -2  4
Curve Equation t Generators 105350bz1 [1,-1,1,995,20997] 1 [9:-180:1]
105350ca (1 curve)	1	2- 5+ 7+ 43-	2- -2 5+ 7+  6  6 -5 -2
Curve Equation t Generators 105350ca1 [1,0,0,-888763,-270559983] 1 [-454:6505:1]
105350cb (2 curves)	1	2- 5+ 7- 43+	2-  0 5+ 7-  0  2  6 -4
Curve Equation t Generators 105350cb1 [1,-1,1,147995,182643997] 2 [-281:11040:1] 105350cb2 [1,-1,1,-4066005,3022879997] 2 [3933:216796:1]
105350cc (1 curve)	1	2- 5+ 7- 43+	2-  0 5+ 7-  0 -3 -4  1
Curve Equation t Generators 105350cc1 [1,-1,1,19370,253747] 1 [209155202:6167329185:238328]
105350cd (1 curve)	1	2- 5+ 7- 43+	2-  1 5+ 7-  3  4 -3 -5
Curve Equation t Generators 105350cd1 [1,0,0,-71688,7639232] 1 [46:2084:1]
105350ce (2 curves)	1	2- 5+ 7- 43+	2-  1 5+ 7-  3 -4 -3 -5
Curve Equation t Generators 105350ce1 [1,0,0,-127805843138,-17586302496898108] 1 [675960024678901681154839185915869984263978532:5704626045263462392459088488398778575781691670:1637340488796869016459381355966521431149] 105350ce2 [1,0,0,-108320227513,-23130587726094983] 1 [12720708142614813162:32529882402913548235:31294588722697]
105350cf (1 curve)	1	2- 5+ 7- 43+	2-  1 5+ 7- -3 -2  0  1
Curve Equation t Generators 105350cf1 [1,0,0,-77461063,-275855703383] 1 [710562057176598:116108561122539151:23862997439]
105350cg (2 curves)	1	2- 5+ 7- 43+	2-  1 5+ 7- -6 -1 -6  4
Curve Equation t Generators 105350cg1 [1,0,0,-6033763,-225969983] 1 [-1738915368:96520962725:1295029] 105350cg2 [1,0,0,-328668138,2293381801892] 1 [9556:154214:1]
105350ch (1 curve)	1	2- 5+ 7- 43+	2- -1 5+ 7-  5  2  0  3
Curve Equation t Generators 105350ch1 [1,1,1,-27641538,-55951121969] 1 [29945:5081027:1]
105350ci (1 curve)	1	2- 5+ 7- 43+	2- -2 5+ 7-  0  1  0 -5
Curve Equation t Generators 105350ci1 [1,0,0,62,3492] 1 [-8:54:1]
105350cj (2 curves)	1	2- 5+ 7- 43+	2- -2 5+ 7-  6  2  0 -5
Curve Equation t Generators 105350cj1 [1,0,0,88787,2485167] 1 [9070618684:410826017571:143877824] 105350cj2 [1,0,0,-1411838,670263292] 1 [778:6162:1]
105350ck (1 curve)	1	2- 5+ 7- 43+	2- -2 5+ 7-  6 -2 -3 -2
Curve Equation t Generators 105350ck1 [1,0,0,-403418,-98656958] 1 [-94891487114970:50961141948163:258474853000]
105350cl (1 curve)	1	2- 5+ 7- 43+	2-  3 5+ 7- -3  2  0 -1
Curve Equation t Generators 105350cl1 [1,-1,1,-1455,55297] 1 [-103122:1648495:5832]
105350cm (1 curve)	1	2- 5+ 7- 43+	2- -3 5+ 7-  3  0 -7  7
Curve Equation t Generators 105350cm1 [1,-1,1,101445,1615947] 1 [135:-4282:1]
105350cn (1 curve)	0	2- 5+ 7- 43-	2-  0 5+ 7- -2  5  2 -4
Curve Equation t 105350cn1 [1,-1,1,48770,-7299603] 1
105350co (1 curve)	0	2- 5+ 7- 43-	2-  0 5+ 7- -4 -1  0 -1
Curve Equation t 105350co1 [1,-1,1,-24730,-1493103] 1
105350cp (1 curve)	0	2- 5+ 7- 43-	2-  1 5+ 7-  1  4  5  3
Curve Equation t 105350cp1 [1,0,0,-18033,-1028623] 1
105350cq (1 curve)	0	2- 5+ 7- 43-	2-  1 5+ 7-  1  4 -5  3
Curve Equation t 105350cq1 [1,0,0,-1571145458,24009916394372] 1
105350cr (1 curve)	0	2- 5+ 7- 43-	2- -1 5+ 7-  1 -2  1  1
Curve Equation t 105350cr1 [1,1,1,2143112,-229387719] 1
105350cs (1 curve)	0	2- 5+ 7- 43-	2- -1 5+ 7-  3  6 -4  5
Curve Equation t 105350cs1 [1,1,1,-174588,-28169219] 1
105350ct (2 curves)	0	2- 5+ 7- 43-	2-  2 5+ 7- -4 -2 -2  4
Curve Equation t 105350ct1 [1,1,1,-20063,-1100219] 2 105350ct2 [1,1,1,-27063,-274219] 2
105350cu (1 curve)	0	2- 5+ 7- 43-	2-  2 5+ 7-  6 -6  5  2
Curve Equation t 105350cu1 [1,1,1,-18138,781031] 1
105350cv (2 curves)	0	2- 5+ 7- 43-	2- -2 5+ 7-  4  4  2 -6
Curve Equation t 105350cv1 [1,0,0,-3518838,21180144292] 2 105350cv2 [1,0,0,-138366838,623006768292] 2
105350cw (2 curves)	0	2- 5+ 7- 43-	2- -2 5+ 7- -4  2  2 -4
Curve Equation t 105350cw1 [1,0,0,-983088,374425792] 2 105350cw2 [1,0,0,-1326088,90078792] 2
105350cx (1 curve)	0	2- 5+ 7- 43-	2- -2 5+ 7- -5  7  2  0
Curve Equation t 105350cx1 [1,0,0,-2007678,-1095106748] 1
105350cy (1 curve)	0	2- 5+ 7- 43-	2-  3 5+ 7-  5  2 -3  5
Curve Equation t 105350cy1 [1,-1,1,-720,12667] 1
105350cz (1 curve)	0	2- 5+ 7- 43-	2- -3 5+ 7-  1 -4 -1 -1
Curve Equation t 105350cz1 [1,-1,1,-1455,-40743] 1
105350da (1 curve)	1	2- 5- 7+ 43+	2- -1 5- 7+  2 -5  2 -4
Curve Equation t Generators 105350da1 [1,1,1,-31263,1892281] 1 [-29:1680:1]
105350db (1 curve)	1	2- 5- 7+ 43+	2-  2 5- 7+ -3  3  6  3
Curve Equation t Generators 105350db1 [1,1,1,-24403,-1606319] 1 [559:12362:1]
105350dc (1 curve)	1	2- 5- 7+ 43+	2-  2 5- 7+ -4  2 -2  7
Curve Equation t Generators 105350dc1 [1,1,1,-10683,-440119] 1 [141:868:1]
105350dd (1 curve)	2	2- 5- 7+ 43-	2-  0 5- 7+ -6 -2 -8  1
Curve Equation t Generators 105350dd1 [1,-1,1,491240,-228092133] 1 [429:7625:1]&[919:31145:1]
105350de (2 curves)	0	2- 5- 7- 43+	2-  0 5- 7-  4 -2 -6  4
Curve Equation t 105350de1 [1,-1,1,-1210,10217] 2 105350de2 [1,-1,1,3690,69017] 2
105350df (1 curve)	0	2- 5- 7- 43+	2-  0 5- 7-  5  7  6 -4
Curve Equation t 105350df1 [1,-1,1,995,-18203] 1
105350dg (1 curve)	0	2- 5- 7- 43+	2-  1 5- 7-  2  5 -2  4
Curve Equation t 105350dg1 [1,0,0,-638,-5608] 1
105350dh (1 curve)	2	2- 5- 7- 43+	2- -1 5- 7- -5  2 -5  3
Curve Equation t Generators 105350dh1 [1,1,1,6712,343881] 1 [475:10297:1]&[45:-883:1]
105350di (1 curve)	0	2- 5- 7- 43+	2- -2 5- 7- -1  1 -2  4
Curve Equation t 105350di1 [1,0,0,-86388,-16476608] 1
105350dj (1 curve)	0	2- 5- 7- 43+	2- -2 5- 7- -1 -7 -2  4
Curve Equation t 105350dj1 [1,0,0,137146907862,-750373617590108] 1
105350dk (1 curve)	2	2- 5- 7- 43+	2- -2 5- 7- -3 -3 -6 -3
Curve Equation t Generators 105350dk1 [1,0,0,-498,4612] 1 [92:814:1]&[-8:94:1]
105350dl (1 curve)	2	2- 5- 7- 43+	2- -2 5- 7- -4 -2  2 -7
Curve Equation t Generators 105350dl1 [1,0,0,-218,1252] 1 [-8:54:1]&[-2:42:1]
105350dm (1 curve)	0	2- 5- 7- 43+	2-  3 5- 7- -1 -2  3 -1
Curve Equation t 105350dm1 [1,-1,1,-14892555,-22117278053] 1
105350dn (1 curve)	1	2- 5- 7- 43-	2-  0 5- 7- -6  2  8 -1
Curve Equation t Generators 105350dn1 [1,-1,1,10025,662127] 1 [-45:366:1]

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