Cremona's table of elliptic curves

106575 = 3 · 5² · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
106575a (1 curve)	0	3+ 5+ 7+ 29-	1 3+ 5+ 7+  5  4  3  8
Curve Equation t 106575a1 [1,1,0,-532900,151310125] 1
106575b (1 curve)	0	3+ 5+ 7+ 29-	-1 3+ 5+ 7+ -6 -4  8  5
Curve Equation t 106575b1 [1,1,1,-279938,-57060844] 1
106575c (1 curve)	0	3+ 5+ 7+ 29-	2 3+ 5+ 7+  6  2  2 -4
Curve Equation t 106575c1 [0,-1,1,82,-547] 1
106575d (1 curve)	0	3+ 5+ 7- 29+	0 3+ 5+ 7-  0  2  7  5
Curve Equation t 106575d1 [0,-1,1,-224583,41570318] 1
106575e (1 curve)	0	3+ 5+ 7- 29+	0 3+ 5+ 7-  4  2 -3  7
Curve Equation t 106575e1 [0,-1,1,-139323,20389088] 1
106575f (1 curve)	0	3+ 5+ 7- 29+	1 3+ 5+ 7- -1  5 -3  2
Curve Equation t 106575f1 [1,1,0,10,15] 1
106575g (1 curve)	0	3+ 5+ 7- 29+	1 3+ 5+ 7- -6  1  0  3
Curve Equation t 106575g1 [1,1,0,-157315,-24089540] 1
106575h (1 curve)	0	3+ 5+ 7- 29+	2 3+ 5+ 7-  2  7  4  4
Curve Equation t 106575h1 [0,-1,1,-758,-4957] 1
106575i (2 curves)	0	3+ 5+ 7- 29+	-2 3+ 5+ 7-  2 -4 -3  5
Curve Equation t 106575i1 [0,-1,1,-90568,-17462922] 1 106575i2 [0,-1,1,-1541458,1995322818] 1
106575j (1 curve)	0	3+ 5+ 7- 29+	-2 3+ 5+ 7- -3  4  6  0
Curve Equation t 106575j1 [0,-1,1,-44508,-24645832] 1
106575k (1 curve)	0	3+ 5+ 7- 29+	-2 3+ 5+ 7-  5 -4  6  8
Curve Equation t 106575k1 [0,-1,1,-203758,36261168] 1
106575l (1 curve)	1	3+ 5+ 7- 29-	0 3+ 5+ 7-  1  6  4  2
Curve Equation t Generators 106575l1 [0,-1,1,96367,46979918] 1 [5196:230066:27]
106575m (1 curve)	1	3+ 5+ 7- 29-	0 3+ 5+ 7- -2 -3  4 -1
Curve Equation t Generators 106575m1 [0,-1,1,-7513,-272007] 1 [8973:849888:1]
106575n (2 curves)	1	3+ 5+ 7- 29-	1 3+ 5+ 7-  0  4 -8  4
Curve Equation t Generators 106575n1 [1,1,0,-13500,-553125] 2 [-650:1325:8] 106575n2 [1,1,0,17125,-2666250] 2 [230:-3790:1]
106575o (1 curve)	1	3+ 5+ 7- 29-	1 3+ 5+ 7- -2  1 -4  7
Curve Equation t Generators 106575o1 [1,1,0,10860,-339345] 1 [5426:397093:1]
106575p (1 curve)	1	3+ 5+ 7- 29-	1 3+ 5+ 7- -2  4 -4  1
Curve Equation t Generators 106575p1 [1,1,0,-61275,5418750] 1 [190:730:1]
106575q (1 curve)	1	3+ 5+ 7- 29-	1 3+ 5+ 7-  3  1  1 -8
Curve Equation t Generators 106575q1 [1,1,0,-37265,2753640] 1 [79416:-9476:729]
106575r (6 curves)	1	3+ 5+ 7- 29-	1 3+ 5+ 7-  4 -2  2  4
Curve Equation t Generators 106575r1 [1,1,0,-960425,-388284000] 2 [291636330444969531932134290508:-44829873572388002577212401608006:12401520718984722053786863] 106575r2 [1,1,0,-15666550,-23873965625] 4 [2485304218831894090:81260037222194036755:487777938762232] 106575r3 [1,1,0,-15966675,-22912065000] 4 [826382232:506382074316:2197] 106575r4 [1,1,0,-250664425,-1527625367750] 2 [131275856066812723439766131994:-39834268115122996902476607145109:1387815408037320054767416] 106575r5 [1,1,0,15289200,-101645614125] 2 [1504530:1844700435:1] 106575r6 [1,1,0,-52024550,117389126625] 2 [2711810717903927042:-1664259850464683920213:7209190225432]
106575s (8 curves)	1	3+ 5+ 7- 29-	1 3+ 5+ 7-  4 -2  2  4
Curve Equation t Generators 106575s1 [1,1,0,-9714275,-11657745000] 2 [-361867996021071374271527797122800:179261991077214751357495891366875:201049576541391589023759634432] 106575s2 [1,1,0,-9720400,-11642316125] 4 [-65303878271342710:-92342019899428345:35281097353592] 106575s3 [1,1,0,-5990275,-20672948750] 2 [3091468507671023647652532333768840:602299164016745776128644280815537455:80671947710708066034026492416] 106575s4 [1,1,0,-13548525,-1624113000] 4 [33601308:4015723470:2197] 106575s5 [1,1,0,53979600,-12901309875] 2 [60276:14877573:1] 106575s6 [1,1,0,-142326650,650894646375] 4 [674669707854857770:2143636932122672674615:2732198160299399] 106575s7 [1,1,0,-70388525,1308624923250] 2 [881366507480841034239454764:-112807615923571974413495550649:57851382242303449315776] 106575s8 [1,1,0,-2274714775,41756940532000] 2 [6737677432631200312275361384756:-205155193248889726473560388726671:219662793644441476215075904]
106575t (4 curves)	1	3+ 5+ 7- 29-	1 3+ 5+ 7- -4 -2  2 -4
Curve Equation t Generators 106575t1 [1,1,0,35500,-3934125] 2 [498082:8492327:2197] 106575t2 [1,1,0,-264625,-42050000] 4 [1044:28130:1] 106575t3 [1,1,0,-1336500,557128125] 2 [980:13285:1] 106575t4 [1,1,0,-3994750,-3074641625] 2 [169716:4435489:64]
106575u (2 curves)	1	3+ 5+ 7- 29-	1 3+ 5+ 7- -4  6  6  0
Curve Equation t Generators 106575u1 [1,1,0,-25400,1546875] 2 [106:191:1] 106575u2 [1,1,0,-21025,2102500] 2 [0:1450:1]
106575v (2 curves)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  0  4  0  4
Curve Equation t Generators 106575v1 [1,1,1,-142738,-20788594] 2 [736:16170:1] 106575v2 [1,1,1,-185613,-7325844] 2 [630:10922:1]
106575w (4 curves)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  0  6 -2  0
Curve Equation t Generators 106575w1 [1,1,1,-7212213,-4803164094] 2 [106326866685182:-1528024729113884:34741712447] 106575w2 [1,1,1,-47398338,122024246406] 4 [49958700:8690842769:35937] 106575w3 [1,1,1,14617287,418582965156] 2 [23800:3762812:1] 106575w4 [1,1,1,-752391963,7943223522156] 2 [424740:-825496:27]
106575x (2 curves)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  0 -6 -2  0
Curve Equation t Generators 106575x1 [1,1,1,-638,-135094] 2 [56:65:1] 106575x2 [1,1,1,-43513,-3479344] 2 [-130:102:1]
106575y (1 curve)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  3  0  7  0
Curve Equation t Generators 106575y1 [1,1,1,-813,24156] 1 [70:527:1]
106575z (1 curve)	1	3+ 5+ 7- 29-	-2 3+ 5+ 7-  2 -2  5 -7
Curve Equation t Generators 106575z1 [0,-1,1,-14128,-701982] 1 [691:17860:1]
106575ba (1 curve)	1	3+ 5+ 7- 29-	-2 3+ 5+ 7-  4  1  2  1
Curve Equation t Generators 106575ba1 [0,-1,1,-20008,15276918] 1 [-33:3987:1]
106575bb (1 curve)	1	3+ 5+ 7- 29-	-2 3+ 5+ 7- -4  0  3  3
Curve Equation t Generators 106575bb1 [0,-1,1,572,-24312] 1 [33:171:1]
106575bc (1 curve)	0	3+ 5- 7+ 29+	-1 3+ 5- 7+ -1  5 -3 -2
Curve Equation t 106575bc1 [1,1,1,11612,-465844] 1
106575bd (1 curve)	2	3+ 5- 7+ 29+	-1 3+ 5- 7+  4 -4  0 -3
Curve Equation t Generators 106575bd1 [1,1,1,-202763,-35194594] 1 [-265:257:1]&[21720:474439:27]
106575be (1 curve)	2	3+ 5- 7+ 29+	-1 3+ 5- 7+ -6  1  0 -3
Curve Equation t Generators 106575be1 [1,1,1,-80263,8721656] 1 [230:-20419:8]&[160:-168:1]
106575bf (1 curve)	1	3+ 5- 7+ 29-	-1 3+ 5- 7+ -2  1 -4 -7
Curve Equation t Generators 106575bf1 [1,1,1,13302862,14748962906] 1 [-41317242862:323633183014:40353607]
106575bg (1 curve)	1	3+ 5- 7+ 29-	-1 3+ 5- 7+  3  1  1  8
Curve Equation t Generators 106575bg1 [1,1,1,-19013,-1017094] 1 [160:182:1]
106575bh (2 curves)	1	3+ 5- 7- 29+	0 3+ 5- 7-  0  4  3  1
Curve Equation t Generators 106575bh1 [0,-1,1,44917,-1537432] 1 [20470:398822:125] 106575bh2 [0,-1,1,-506333,165215693] 1 [467:5512:1]
106575bi (1 curve)	1	3+ 5- 7- 29+	0 3+ 5- 7-  1 -6 -2  6
Curve Equation t Generators 106575bi1 [0,-1,1,8167,1476068] 1 [-8:1187:1]
106575bj (2 curves)	1	3+ 5- 7- 29+	1 3+ 5- 7- -2 -4 -6 -6
Curve Equation t Generators 106575bj1 [1,1,0,-162950,-24146625] 2 [18854:2578901:1] 106575bj2 [1,1,0,112675,-97187250] 2 [386:1808:1]
106575bk (1 curve)	1	3+ 5- 7- 29+	1 3+ 5- 7-  4 -4  0  3
Curve Equation t Generators 106575bk1 [1,1,0,-165,750] 1 [10:10:1]
106575bl (2 curves)	2	3+ 5- 7- 29-	1 3+ 5- 7-  0 -4 -2  0
Curve Equation t Generators 106575bl1 [1,1,0,-22075,-596000] 2 [-970:4985:8]&[304:4420:1] 106575bl2 [1,1,0,-297700,-62611625] 2 [-2538:2633:8]&[-314:331:1]
106575bm (1 curve)	0	3+ 5- 7- 29-	2 3+ 5- 7- -4  0  3 -3
Curve Equation t 106575bm1 [0,-1,1,292,8693] 1
106575bn (1 curve)	0	3+ 5- 7- 29-	2 3+ 5- 7-  6  6  1  7
Curve Equation t 106575bn1 [0,-1,1,2042,117543] 1
106575bo (2 curves)	2	3+ 5- 7- 29-	-2 3+ 5- 7- -3 -4 -8  0
Curve Equation t Generators 106575bo1 [0,-1,1,-34218,2447738] 1 [152:857:1]&[107:-3:1] 106575bo2 [0,-1,1,56432,11941488] 1 [-138:1227:1]&[12:3552:1]
106575bp (1 curve)	0	3+ 5- 7- 29-	-2 3+ 5- 7-  6  2  2  4
Curve Equation t 106575bp1 [0,-1,1,100042,22239818] 1
106575bq (1 curve)	0	3- 5+ 7+ 29+	1 3- 5+ 7+ -1 -5  3 -2
Curve Equation t 106575bq1 [1,0,1,464,-3727] 1
106575br (1 curve)	2	3- 5+ 7+ 29+	1 3- 5+ 7+ -6 -1  0 -3
Curve Equation t Generators 106575br1 [1,0,1,-3211,69773] 1 [1:257:1]&[13:167:1]
106575bs (1 curve)	0	3- 5+ 7+ 29+	2 3- 5+ 7+  2 -7 -4 -4
Curve Equation t 106575bs1 [0,1,1,-37158,1774469] 1
106575bt (1 curve)	1	3- 5+ 7+ 29-	1 3- 5+ 7+ -2 -1  4 -7
Curve Equation t Generators 106575bt1 [1,0,1,532114,117991703] 1 [543:23542:1]
106575bu (1 curve)	1	3- 5+ 7+ 29-	1 3- 5+ 7+ -2 -4  4 -1
Curve Equation t Generators 106575bu1 [1,0,1,-1251,-15977] 1 [-17:29:1]
106575bv (1 curve)	1	3- 5+ 7+ 29-	1 3- 5+ 7+  3 -1 -1  8
Curve Equation t Generators 106575bv1 [1,0,1,-761,-8137] 1 [257057041344081:3346695516097591:1375407924561]
106575bw (1 curve)	1	3- 5+ 7+ 29-	-1 3- 5+ 7+  3  0 -7  0
Curve Equation t Generators 106575bw1 [1,0,0,-39838,-8405083] 1 [617:13904:1]
106575bx (1 curve)	1	3- 5+ 7+ 29-	-2 3- 5+ 7+  4 -1 -2 -1
Curve Equation t Generators 106575bx1 [0,1,1,-408,-44656] 1 [108:1087:1]
106575by (2 curves)	1	3- 5+ 7- 29+	0 3- 5+ 7-  0 -4 -3  1
Curve Equation t Generators 106575by1 [0,1,1,1797,-11581] 1 [9:73:1] 106575by2 [0,1,1,-20253,1313624] 1 [-96:1543:1]
106575bz (2 curves)	1	3- 5+ 7- 29+	0 3- 5+ 7-  3  2  0 -2
Curve Equation t Generators 106575bz1 [0,1,1,-13883,-647356] 1 [142:514:1] 106575bz2 [0,1,1,59617,-2723731] 1 [38943:571931:729]
106575ca (2 curves)	0	3- 5+ 7- 29-	1 3- 5+ 7-  0  0 -4  4
Curve Equation t 106575ca1 [1,0,1,-60410901,-180453114677] 2 106575ca2 [1,0,1,-41270276,-296828114677] 2
106575cb (4 curves)	0	3- 5+ 7- 29-	1 3- 5+ 7-  0  6  2 -8
Curve Equation t 106575cb1 [1,0,1,-36776,1819073] 2 106575cb2 [1,0,1,-532901,149664323] 4 106575cb3 [1,0,1,-477776,181857323] 2 106575cb4 [1,0,1,-8526026,9581551823] 2
106575cc (4 curves)	0	3- 5+ 7- 29-	1 3- 5+ 7- -4  2  6  4
Curve Equation t 106575cc1 [1,0,1,-25751,951773] 2 106575cc2 [1,0,1,-178876,-28448227] 4 106575cc3 [1,0,1,35499,-92331977] 2 106575cc4 [1,0,1,-2843251,-1845551977] 2
106575cd (2 curves)	2	3- 5+ 7- 29-	1 3- 5+ 7- -4 -6 -6  0
Curve Equation t Generators 106575cd1 [1,0,1,-1244626,-534311977] 2 [-653:626:1]&[-5074:4333:8] 106575cd2 [1,0,1,-1030251,-724248227] 2 [11926:253683:8]&[1853:60147:1]
106575ce (1 curve)	0	3- 5+ 7- 29-	1 3- 5+ 7-  5 -4 -3 -8
Curve Equation t 106575ce1 [1,0,1,-26112126,-51977709227] 1
106575cf (4 curves)	2	3- 5+ 7- 29-	-1 3- 5+ 7-  0 -2 -2 -8
Curve Equation t Generators 106575cf1 [1,0,0,-1632338,-802854333] 2 [2398:94057:1]&[5191:358804:1] 106575cf2 [1,0,0,-1638463,-796527208] 4 [-793:2459:1]&[-5594:24547:8] 106575cf3 [1,0,0,-137838,-2199611583] 2 [1488:29097:1]&[2517:-117021:1] 106575cf4 [1,0,0,-3237088,1011517667] 2 [-353:46114:1]&[137:23819:1]
106575cg (2 curves)	2	3- 5+ 7- 29-	-1 3- 5+ 7-  0 -4  0 -4
Curve Equation t Generators 106575cg1 [1,0,0,-2913,60192] 2 [-48:324:1]&[-3:264:1] 106575cg2 [1,0,0,-3788,20817] 2 [88:565:1]&[-17:292:1]
106575ch (4 curves)	0	3- 5+ 7- 29-	-1 3- 5+ 7- -4  6  6  4
Curve Equation t 106575ch1 [1,0,0,-33713,-2384208] 2 106575ch2 [1,0,0,-39838,-1459333] 4 106575ch3 [1,0,0,137787,-10873458] 2 106575ch4 [1,0,0,-315463,67171292] 2
106575ci (1 curve)	2	3- 5+ 7- 29-	-1 3- 5+ 7- -6  4 -8 -5
Curve Equation t Generators 106575ci1 [1,0,0,-5713,165542] 1 [47:14:1]&[-37:590:1]
106575cj (1 curve)	0	3- 5+ 7- 29-	2 3- 5+ 7-  6 -2 -2  4
Curve Equation t 106575cj1 [0,1,1,4002,179519] 1
106575ck (1 curve)	0	3- 5+ 7- 29-	-2 3- 5+ 7- -1 -4 -6  4
Curve Equation t 106575ck1 [0,1,1,-242717008,-2841588973856] 1
106575cl (1 curve)	2	3- 5+ 7- 29-	-2 3- 5+ 7- -4  0 -3 -3
Curve Equation t Generators 106575cl1 [0,1,1,12,74] 1 [-3:4:1]&[2:10:1]
106575cm (1 curve)	0	3- 5+ 7- 29-	-2 3- 5+ 7-  6 -6 -1  7
Curve Equation t 106575cm1 [0,1,1,51042,14794994] 1
106575cn (1 curve)	1	3- 5- 7+ 29+	1 3- 5- 7+  4  4  0 -3
Curve Equation t Generators 106575cn1 [1,0,1,-8111,-281557] 1 [-6605:4857:125]
106575co (1 curve)	0	3- 5- 7+ 29-	-2 3- 5- 7+  6 -2 -2 -4
Curve Equation t 106575co1 [0,1,1,2042,-64256] 1
106575cp (1 curve)	2	3- 5- 7- 29+	0 3- 5- 7-  0 -2 -7  5
Curve Equation t Generators 106575cp1 [0,1,1,-8983,328969] 1 [-806:3761:8]&[-61:808:1]
106575cq (1 curve)	0	3- 5- 7- 29+	0 3- 5- 7-  1  6  2  6
Curve Equation t 106575cq1 [0,1,1,327,11939] 1
106575cr (1 curve)	0	3- 5- 7- 29+	0 3- 5- 7-  4 -2  3  7
Curve Equation t 106575cr1 [0,1,1,-3483083,2541669869] 1
106575cs (1 curve)	0	3- 5- 7- 29+	-1 3- 5- 7- -1 -5  3  2
Curve Equation t 106575cs1 [1,0,0,237,1392] 1
106575ct (2 curves)	0	3- 5- 7- 29+	-1 3- 5- 7- -2  4  6 -6
Curve Equation t 106575ct1 [1,0,0,-6518,-193173] 2 106575ct2 [1,0,0,4507,-777498] 2
106575cu (1 curve)	0	3- 5- 7- 29+	-1 3- 5- 7-  4  4  0  3
Curve Equation t 106575cu1 [1,0,0,-4138,102017] 1
106575cv (1 curve)	0	3- 5- 7- 29+	-1 3- 5- 7- -6 -1  0  3
Curve Equation t 106575cv1 [1,0,0,-3932888,-3003326733] 1
106575cw (2 curves)	0	3- 5- 7- 29+	2 3- 5- 7-  2  4  3  5
Curve Equation t 106575cw1 [0,1,1,-61658,15937919] 1 106575cw2 [0,1,1,-2264208,-2187393631] 1
106575cx (1 curve)	1	3- 5- 7- 29-	0 3- 5- 7- -2  3 -4 -1
Curve Equation t Generators 106575cx1 [0,1,1,-187833,-34376506] 1 [522:3175:1]
106575cy (2 curves)	1	3- 5- 7- 29-	-1 3- 5- 7-  0  4  2  0
Curve Equation t Generators 106575cy1 [1,0,0,-883,-4768] 2 [-17:82:1] 106575cy2 [1,0,0,-11908,-500893] 2 [-62:37:1]
106575cz (1 curve)	1	3- 5- 7- 29-	-1 3- 5- 7- -2 -1  4  7
Curve Equation t Generators 106575cz1 [1,0,0,271487,-42961108] 1 [827:26924:1]
106575da (1 curve)	1	3- 5- 7- 29-	-1 3- 5- 7-  3 -1 -1 -8
Curve Equation t Generators 106575da1 [1,0,0,-931638,346068267] 1 [7255359:139362506:19683]
106575db (1 curve)	1	3- 5- 7- 29-	2 3- 5- 7-  2  2 -5 -7
Curve Equation t Generators 106575db1 [0,1,1,-353208,-88454131] 1 [274122:50735429:8]
106575dc (2 curves)	1	3- 5- 7- 29-	2 3- 5- 7- -3  4  8  0
Curve Equation t Generators 106575dc1 [0,1,1,-855458,304256369] 1 [14381670:1101887:27000] 106575dc2 [0,1,1,1410792,1495507619] 1 [3306:370877:8]
106575dd (1 curve)	1	3- 5- 7- 29-	2 3- 5- 7- -4  0 -3  3
Curve Equation t Generators 106575dd1 [0,1,1,14292,-3010381] 1 [906:2165:8]

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