Cremona's table of elliptic curves

105966 = 2 · 3² · 7 · 29²

Class	r	Atkin-Lehner	Eigenvalues
105966a (1 curve)	1	2+ 3+ 7+ 29+	2+ 3+  0 7+ -1 -3  8 -1
Curve Equation t Generators 105966a1 [1,-1,0,-80411952,277567888640] 1 [7127:254203:1]
105966b (2 curves)	1	2+ 3+ 7+ 29+	2+ 3+  0 7+  4  2 -2  4
Curve Equation t Generators 105966b1 [1,-1,0,-92247,-16418935] 2 [188344:81644251:1] 105966b2 [1,-1,0,-1681737,-838821061] 2 [38682249709:16767863418534:205379]
105966c (1 curve)	1	2+ 3+ 7+ 29+	2+ 3+ -2 7+  3  2 -5  3
Curve Equation t Generators 105966c1 [1,-1,0,147,-7255] 1 [28:121:1]
105966d (1 curve)	0	2+ 3+ 7+ 29-	2+ 3+  2 7+  3  2 -5 -3
Curve Equation t 105966d1 [1,-1,0,13719,6516817] 1
105966e (2 curves)	0	2+ 3+ 7+ 29-	2+ 3+  2 7+ -4 -2  2 -4
Curve Equation t 105966e1 [1,-1,0,-4551,89837] 2 105966e2 [1,-1,0,11109,562769] 2
105966f (2 curves)	0	2+ 3+ 7+ 29-	2+ 3+ -2 7+ -4 -2  2  4
Curve Equation t 105966f1 [1,-1,0,-425283,-80015355] 2 105966f2 [1,-1,0,1038057,-511115319] 2
105966g (2 curves)	0	2+ 3+ 7- 29+	2+ 3+  0 7-  3 -1  0  7
Curve Equation t 105966g1 [1,-1,0,96978,-7387436] 1 105966g2 [1,-1,0,-2022342,-1123044580] 1
105966h (2 curves)	0	2+ 3+ 7- 29+	2+ 3+ -2 7-  4  4 -4 -8
Curve Equation t 105966h1 [1,-1,0,-8988,-275940] 2 105966h2 [1,-1,0,16242,-1562670] 2
105966i (2 curves)	2	2+ 3+ 7- 29+	2+ 3+ -3 7-  0 -4 -3 -2
Curve Equation t Generators 105966i1 [1,-1,0,-201,-179] 1 [-13:17:1]&[-6:31:1] 105966i2 [1,-1,0,-12381,-527167] 1 [-64:33:1]&[166:1321:1]
105966j (2 curves)	1	2+ 3+ 7- 29-	2+ 3+  3 7-  0 -4 -3  2
Curve Equation t Generators 105966j1 [1,-1,0,-1156953,479273193] 3 [31520448:-14126553:50653] 105966j2 [1,-1,0,-1522788,151363088] 1 [1216:9220:1]
105966k (2 curves)	0	2+ 3- 7+ 29+	2+ 3-  0 7+  0 -6 -2  0
Curve Equation t 105966k1 [1,-1,0,828648,-66799040] 2 105966k2 [1,-1,0,-3409992,-538983536] 2
105966l (2 curves)	0	2+ 3- 7+ 29+	2+ 3-  0 7+ -4  0 -4 -4
Curve Equation t 105966l1 [1,-1,0,-2287257,-1437907411] 2 105966l2 [1,-1,0,-37407417,-88051246003] 2
105966m (1 curve)	2	2+ 3- 7+ 29+	2+ 3- -1 7+ -2 -2 -1 -4
Curve Equation t Generators 105966m1 [1,-1,0,-810,9072] 1 [18:-18:1]&[-6:120:1]
105966n (1 curve)	0	2+ 3- 7+ 29+	2+ 3-  2 7+  1 -5  2  5
Curve Equation t 105966n1 [1,-1,0,8314389,-104922170235] 1
105966o (1 curve)	1	2+ 3- 7+ 29-	2+ 3-  0 7+  3 -5  6 -3
Curve Equation t Generators 105966o1 [1,-1,0,-1669122,1320181524] 1 [-603295:59579112:1331]
105966p (2 curves)	1	2+ 3- 7+ 29-	2+ 3-  0 7+ -4  2  6  4
Curve Equation t Generators 105966p1 [1,-1,0,545463,-379709127] 2 [176070:6962853:125] 105966p2 [1,-1,0,-5721147,-4639750605] 2 [82434267210:-835320722091:29791000]
105966q (1 curve)	1	2+ 3- 7+ 29-	2+ 3-  1 7+  2 -6  3 -4
Curve Equation t Generators 105966q1 [1,-1,0,-10888164,13821202476] 1 [4836:270066:1]
105966r (1 curve)	1	2+ 3- 7+ 29-	2+ 3- -1 7+  6  2  1  0
Curve Equation t Generators 105966r1 [1,-1,0,-182318445,-610832865371] 1 [-7310621330405282850:606836105454469470737:1076102848421875]
105966s (1 curve)	1	2+ 3- 7+ 29-	2+ 3- -2 7+ -1  0  3  5
Curve Equation t Generators 105966s1 [1,-1,0,78229242,53389330740] 1 [148602420:23603952870:6859]
105966t (1 curve)	1	2+ 3- 7+ 29-	2+ 3- -3 7+ -2 -7 -2 -7
Curve Equation t Generators 105966t1 [1,-1,0,-411916491,3341737445701] 1 [17451:1202735:1]
105966u (6 curves)	1	2+ 3- 7- 29+	2+ 3-  0 7-  0 -4  6 -2
Curve Equation t Generators 105966u1 [1,-1,0,-3942,-191840] 2 [6510:93460:27] 105966u2 [1,-1,0,-79632,-8623706] 2 [1130865:-5604284:3375] 105966u3 [1,-1,0,33903,4024093] 2 [138:-3433:1] 105966u4 [1,-1,0,-268857,44048965] 2 [-583:1835:1] 105966u5 [1,-1,0,-1290672,566332672] 2 [42356:62081:64] 105966u6 [1,-1,0,-20667312,36168971008] 2 [-39986:986035:8]
105966v (1 curve)	1	2+ 3- 7- 29+	2+ 3- -2 7-  1  1  2  1
Curve Equation t Generators 105966v1 [1,-1,0,-72063,15232941] 1 [109:2889:1]
105966w (1 curve)	1	2+ 3- 7- 29+	2+ 3- -2 7-  1 -2  2 -5
Curve Equation t Generators 105966w1 [1,-1,0,-288,-3456] 1 [103:974:1]
105966x (2 curves)	1	2+ 3- 7- 29+	2+ 3- -2 7-  4 -2 -4 -2
Curve Equation t Generators 105966x1 [1,-1,0,-16080498,39321163476] 2 [1617:131649:1] 105966x2 [1,-1,0,-297041778,1970030887380] 2 [8548:231206:1]
105966y (1 curve)	1	2+ 3- 7- 29+	2+ 3- -2 7- -5  4  5  1
Curve Equation t Generators 105966y1 [1,-1,0,-490278348,-5976009007920] 1 [3696264723367600468462780844443392501113640:443360282819056008838082166191159082865059060:108532450994588036841712467413517514489]
105966z (2 curves)	1	2+ 3- 7- 29+	2+ 3-  3 7-  0 -1  0  1
Curve Equation t Generators 105966z1 [1,-1,0,-288,-1832] 1 [1740435:38602337:3375] 105966z2 [1,-1,0,1017,-9923] 1 [27:178:1]
105966ba (2 curves)	1	2+ 3- 7- 29+	2+ 3-  3 7- -3 -1  0  4
Curve Equation t Generators 105966ba1 [1,-1,0,-109908,-139219232] 1 [7962540:376801664:3375] 105966ba2 [1,-1,0,987597,3725973877] 1 [116430:-9289031:125]
105966bb (2 curves)	1	2+ 3- 7- 29+	2+ 3- -3 7-  6  2  3 -2
Curve Equation t Generators 105966bb1 [1,-1,0,-25594731,-30307156619] 1 [-29185097294:-814457975759:7645373] 105966bb2 [1,-1,0,-884941146,10131464200756] 1 [15140:443726:1]
105966bc (2 curves)	0	2+ 3- 7- 29-	2+ 3-  1 7- -5  1  2  4
Curve Equation t 105966bc1 [1,-1,0,-46008324,-205144215084] 1 105966bc2 [1,-1,0,-34087320909,-2422344399910299] 1
105966bd (2 curves)	0	2+ 3- 7- 29-	2+ 3-  2 7-  4  4  8 -4
Curve Equation t 105966bd1 [1,-1,0,-10229661,9101174917] 2 105966bd2 [1,-1,0,-150710301,712094393605] 2
105966be (2 curves)	0	2+ 3- 7- 29-	2+ 3-  4 7-  4 -2  2  4
Curve Equation t 105966be1 [1,-1,0,4410,206388] 2 105966be2 [1,-1,0,-37350,2336148] 2
105966bf (2 curves)	2	2+ 3- 7- 29-	2+ 3- -4 7- -5  1  2 -1
Curve Equation t Generators 105966bf1 [1,-1,0,3366,177214] 1 [47:-685:1]&[-114:2899:8] 105966bf2 [1,-1,0,-334629,-75305291] 1 [689:4223:1]&[1439:48488:1]
105966bg (1 curve)	0	2- 3+ 7+ 29+	2- 3+  0 7+  1 -3 -8 -1
Curve Equation t 105966bg1 [1,-1,1,-723707570,-7493609285711] 1
105966bh (2 curves)	0	2- 3+ 7+ 29+	2- 3+  0 7+ -4  2  2  4
Curve Equation t 105966bh1 [1,-1,1,-10250,611525] 2 105966bh2 [1,-1,1,-186860,31129733] 2
105966bi (1 curve)	0	2- 3+ 7+ 29+	2- 3+  2 7+ -3  2  5  3
Curve Equation t 105966bi1 [1,-1,1,16,263] 1
105966bj (2 curves)	1	2- 3+ 7+ 29-	2- 3+  2 7+  4 -2 -2  4
Curve Equation t Generators 105966bj1 [1,-1,1,-3827549,2164242133] 2 [163724701730455:-37881861146563348:968829592375] 105966bj2 [1,-1,1,9342511,13790771101] 2 [137889917478263304737956468435:-12294733511589869783011072644086:23489730248783444668921625]
105966bk (1 curve)	1	2- 3+ 7+ 29-	2- 3+ -2 7+ -3  2  5 -3
Curve Equation t Generators 105966bk1 [1,-1,1,123469,-176077529] 1 [252931:127078148:1]
105966bl (2 curves)	1	2- 3+ 7+ 29-	2- 3+ -2 7+  4 -2 -2 -4
Curve Equation t Generators 105966bl1 [1,-1,1,-506,-3159] 2 [-13:39:1] 105966bl2 [1,-1,1,1234,-21255] 2 [45:329:1]
105966bm (2 curves)	1	2- 3+ 7- 29+	2- 3+  0 7- -3 -1  0  7
Curve Equation t Generators 105966bm1 [1,-1,1,-224705,41669145] 1 [7815:20468:27] 105966bm2 [1,-1,1,872800,198587971] 1 [1037:46577:1]
105966bn (2 curves)	1	2- 3+ 7- 29+	2- 3+  2 7- -4  4  4 -8
Curve Equation t Generators 105966bn1 [1,-1,1,-80894,7531273] 2 [18881687:93323243:79507] 105966bn2 [1,-1,1,146176,42045913] 2 [-2417166138688:102284903923985:20842283008]
105966bo (2 curves)	1	2- 3+ 7- 29+	2- 3+  3 7-  0 -4  3 -2
Curve Equation t Generators 105966bo1 [1,-1,1,-1376,19983] 1 [17:27:1] 105966bo2 [1,-1,1,-1811,6643] 1 [-23:200:1]
105966bp (2 curves)	0	2- 3+ 7- 29-	2- 3+ -3 7-  0 -4  3  2
Curve Equation t 105966bp1 [1,-1,1,-169199,-5549641] 3 105966bp2 [1,-1,1,-10412579,-12929963633] 1
105966bq (2 curves)	1	2- 3- 7+ 29+	2- 3-  0 7+ -4 -4 -4 -8
Curve Equation t Generators 105966bq1 [1,-1,1,-1536665,2224958969] 2 [-1457:37732:1] 105966bq2 [1,-1,1,-36656825,85291161401] 2 [3357:5890:1]
105966br (1 curve)	1	2- 3- 7+ 29+	2- 3-  1 7+ -2 -6 -3  4
Curve Equation t Generators 105966br1 [1,-1,1,-12947,569823] 1 [47:228:1]
105966bs (1 curve)	1	2- 3- 7+ 29+	2- 3- -1 7+ -6  2 -1  0
Curve Equation t Generators 105966bs1 [1,-1,1,-216788,-24993097] 1 [-219:-3347:1]
105966bt (1 curve)	1	2- 3- 7+ 29+	2- 3-  2 7+  3 -1  2 -3
Curve Equation t Generators 105966bt1 [1,-1,1,1273415971,31743782302565] 1 [580779785:172331434008:12167]
105966bu (6 curves)	1	2- 3- 7+ 29+	2- 3-  2 7+ -4  6  2  4
Curve Equation t Generators 105966bu1 [1,-1,1,-30434,-4505119] 2 [11593:1242247:1] 105966bu2 [1,-1,1,-635954,-194880607] 4 [-67251117:-4531435:148877] 105966bu3 [1,-1,1,-787334,-94969807] 4 [142810947041535:-2698942665375329:127643417875] 105966bu4 [1,-1,1,-10172894,-12486088879] 2 [-282420553321695:141612916808989:153388121977] 105966bu5 [1,-1,1,2921476,-735852175] 2 [73761943727936412037127220:-4348782267473349443504701043:141438513984210480232000] 105966bu6 [1,-1,1,-6918224,6938387201] 2 [227220053847019668052860990:-1912020212208943563172461281:129722427590013857269000]
105966bv (1 curve)	1	2- 3- 7+ 29+	2- 3- -2 7+  1  0 -3 -5
Curve Equation t Generators 105966bv1 [1,-1,1,93019,2166621] 1 [191:-5280:1]
105966bw (4 curves)	1	2- 3- 7+ 29+	2- 3- -2 7+  4  6 -6  4
Curve Equation t Generators 105966bw1 [1,-1,1,-5351441,4555598721] 4 [959:16980:1] 105966bw2 [1,-1,1,-15039761,-16584315519] 4 [-283805:-9422748:125] 105966bw3 [1,-1,1,37640479,-106962535263] 2 [6700715908944007:-827351747868400944:521854556651] 105966bw4 [1,-1,1,-222733121,-1279276866975] 2 [-611196553285:30612065574:71473375]
105966bx (4 curves)	1	2- 3- 7+ 29+	2- 3- -2 7+  4 -6  6  4
Curve Equation t Generators 105966bx1 [1,-1,1,-31570503521,2919170549449905] 2 [9020849:27084160968:1] 105966bx2 [1,-1,1,-553034639201,158280649177826481] 4 [-114476516218914315851:76074370936470849042348:165677202828467] 105966bx3 [1,-1,1,-601219498721,129065687002255281] 2 [2854232990600934133693100151:-8549027834434664120640513855894:315969157469367827047] 105966bx4 [1,-1,1,-8848275950561,10130623985999870385] 2 [213772427255905391:-108152577992872140:124475734657]
105966by (1 curve)	1	2- 3- 7+ 29+	2- 3- -2 7+ -5  3  6 -5
Curve Equation t Generators 105966by1 [1,-1,1,-318056,-69393315] 1 [206516:11433603:64]
105966bz (1 curve)	1	2- 3- 7+ 29+	2- 3-  3 7+ -1 -1 -4  4
Curve Equation t Generators 105966bz1 [1,-1,1,-772196,-261684601] 1 [1021:3157:1]
105966ca (1 curve)	1	2- 3- 7+ 29+	2- 3- -3 7+  2 -7  2  7
Curve Equation t Generators 105966ca1 [1,-1,1,-489794,137136449] 1 [-383:16575:1]
105966cb (2 curves)	1	2- 3- 7+ 29+	2- 3-  4 7+  4  0  0 -8
Curve Equation t Generators 105966cb1 [1,-1,1,340447,67575309] 2 [124460400791814560:-16371458964159948999:7256313856000] 105966cb2 [1,-1,1,-1854563,625107849] 2 [4837892422:-82255669935:14172488]
105966cc (2 curves)	1	2- 3- 7+ 29+	2- 3- -4 7+  0  2  2  0
Curve Equation t Generators 105966cc1 [1,-1,1,-3338087,-2643013105] 2 [7558845:1854129962:125] 105966cc2 [1,-1,1,-55261427,-158101493065] 2 [37245936735:9081427592056:614125]
105966cd (1 curve)	2	2- 3- 7+ 29-	2- 3-  0 7+ -3 -5 -6  3
Curve Equation t Generators 105966cd1 [1,-1,1,-1985,54609] 1 [167:2004:1]&[23:-156:1]
105966ce (2 curves)	0	2- 3- 7+ 29-	2- 3-  0 7+  4  2 -6 -4
Curve Equation t 105966ce1 [1,-1,1,458734225,-9257514758445] 2 105966ce2 [1,-1,1,-4811484785,-113192557898457] 2
105966cf (1 curve)	0	2- 3- 7+ 29-	2- 3- -1 7+  2 -2  1  4
Curve Equation t 105966cf1 [1,-1,1,-681368,216487815] 1
105966cg (4 curves)	0	2- 3- 7- 29+	2- 3-  0 7-  0  2 -6 -8
Curve Equation t 105966cg1 [1,-1,1,-1006835,-555580461] 2 105966cg2 [1,-1,1,-17961395,-29290168749] 2 105966cg3 [1,-1,1,8075965,7757724723] 2 105966cg4 [1,-1,1,-43847375,71540355579] 2
105966ch (2 curves)	1	2- 3- 7- 29-	2- 3-  1 7-  5  1 -2 -4
Curve Equation t Generators 105966ch1 [1,-1,1,-54707,-8398137] 1 [1443:53276:1] 105966ch2 [1,-1,1,-40531892,-99311402217] 1 [10132305:2870483769:125]
105966ci (2 curves)	1	2- 3- 7- 29-	2- 3-  2 7- -4  4 -8  4
Curve Equation t Generators 105966ci1 [1,-1,1,-12164,376103] 2 [21:349:1] 105966ci2 [1,-1,1,-179204,29240615] 2 [105:3349:1]
105966cj (1 curve)	1	2- 3- 7- 29-	2- 3- -2 7- -1 -2 -2  5
Curve Equation t Generators 105966cj1 [1,-1,1,-242366,-85984563] 1 [4149:263099:1]
105966ck (1 curve)	1	2- 3- 7- 29-	2- 3- -2 7-  5  4 -5 -1
Curve Equation t Generators 105966ck1 [1,-1,1,-582971,-244888149] 1 [33827:6202914:1]
105966cl (2 curves)	1	2- 3- 7- 29-	2- 3-  3 7-  0 -1  0 -1
Curve Equation t Generators 105966cl1 [1,-1,1,-242366,-46376827] 1 [6672475423772291609138267055:-124040205909797605599480537529:9015549246658316794757625] 105966cl2 [1,-1,1,855139,-236025691] 3 [1556513043:27528600308:5545233]
105966cm (2 curves)	1	2- 3- 7- 29-	2- 3- -3 7- -6  2 -3  2
Curve Equation t Generators 105966cm1 [1,-1,1,-30434,-1235311] 1 [-129:793:1] 105966cm2 [1,-1,1,-1052249,415665209] 3 [-993:22420:1]
105966cn (2 curves)	1	2- 3- 7- 29-	2- 3-  4 7- -4 -2 -2 -4
Curve Equation t Generators 105966cn1 [1,-1,1,3708652,5059557879] 2 [115045:11965713:125] 105966cn2 [1,-1,1,-31411508,56756433399] 2 [-1441:315405:1]
105966co (2 curves)	1	2- 3- 7- 29-	2- 3- -4 7-  5  1 -2  1
Curve Equation t Generators 105966co1 [1,-1,1,2830648,4341887165] 1 [232118:39491673:8] 105966co2 [1,-1,1,-281423147,-1838590703845] 1 [284670932031258454:40596643285912765065:9084846821896]

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