Cremona's table of elliptic curves

129850 = 2 · 5² · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
129850a (2 curves)	0	2+ 5+ 7+ 53-	2+ -1 5+ 7+  3 -2 -6  2
Curve Equation t 129850a1 [1,1,0,-6150,212500] 1 129850a2 [1,1,0,42850,-1110500] 1
129850b (1 curve)	0	2+ 5+ 7+ 53-	2+  2 5+ 7+ -1  5  1 -8
Curve Equation t 129850b1 [1,1,0,-12275,390125] 1
129850c (1 curve)	2	2+ 5+ 7+ 53-	2+ -2 5+ 7+  2 -4  0  4
Curve Equation t Generators 129850c1 [1,0,1,-673776,212819198] 1 [-143:-17429:1]&[473:-293:1]
129850d (1 curve)	2	2+ 5+ 7+ 53-	2+ -2 5+ 7+ -3  1 -5 -6
Curve Equation t Generators 129850d1 [1,0,1,-147026,-21707052] 1 [-223:161:1]&[-219:117:1]
129850e (1 curve)	2	2+ 5+ 7- 53+	2+ -1 5+ 7- -4 -3 -1  1
Curve Equation t Generators 129850e1 [1,1,0,11000,-400000] 1 [55:585:1]&[80:960:1]
129850f (2 curves)	1	2+ 5+ 7- 53-	2+  1 5+ 7-  0  5 -3  1
Curve Equation t Generators 129850f1 [1,0,1,-346701,99759048] 1 [119403:-5077666:729] 129850f2 [1,0,1,-30138701,63682159048] 1 [90849:473962:27]
129850g (2 curves)	1	2+ 5+ 7- 53-	2+  1 5+ 7-  3  2  6 -2
Curve Equation t Generators 129850g1 [1,0,1,-301376,-73791602] 1 [18131566518:609937389989:12812904] 129850g2 [1,0,1,2099624,387200398] 1 [-10758:3635771:216]
129850h (1 curve)	1	2+ 5+ 7- 53-	2+  1 5+ 7- -4 -5 -4 -7
Curve Equation t Generators 129850h1 [1,0,1,-24489001,41436116908] 1 [246130:3524359:125]
129850i (1 curve)	1	2+ 5+ 7- 53-	2+ -1 5+ 7- -4  1  0 -1
Curve Equation t Generators 129850i1 [1,1,0,-515,85] 1 [-1:25:1]
129850j (1 curve)	1	2+ 5+ 7- 53-	2+ -1 5+ 7- -6  5 -1  3
Curve Equation t Generators 129850j1 [1,1,0,-17175,-3480875] 1 [190:305:1]
129850k (1 curve)	1	2+ 5+ 7- 53-	2+  2 5+ 7-  2  4  0 -4
Curve Equation t Generators 129850k1 [1,1,0,-33015000,-73030000000] 1 [78442830096205928725441180616536938712:14867141332153733962254608914284447018016:2117002602182569412098293127532807]
129850l (1 curve)	1	2+ 5+ 7- 53-	2+  2 5+ 7- -3 -1  5  6
Curve Equation t Generators 129850l1 [1,1,0,-3000,62000] 1 [35:20:1]
129850m (1 curve)	1	2+ 5+ 7- 53-	2+ -2 5+ 7- -1 -5 -1  8
Curve Equation t Generators 129850m1 [1,0,1,-601501,-135617352] 1 [-477:6782:1]
129850n (2 curves)	1	2+ 5+ 7- 53-	2+ -2 5+ 7- -3 -4  3  4
Curve Equation t Generators 129850n1 [1,0,1,1199,-39252] 1 [214:771:8] 129850n2 [1,0,1,-11051,1210248] 1 [256:3767:1]
129850o (2 curves)	1	2+ 5+ 7- 53-	2+ -2 5+ 7-  6 -7 -6 -2
Curve Equation t Generators 129850o1 [1,0,1,-47882826,157285119548] 1 [342612:14752543:64] 129850o2 [1,0,1,-4124682826,101960625919548] 1 [33506:1155792:1]
129850p (1 curve)	1	2+ 5+ 7- 53-	2+  3 5+ 7-  2  1  3 -1
Curve Equation t Generators 129850p1 [1,-1,0,-98842,-504918184] 1 [182562978:474628315736:27]
129850q (1 curve)	2	2+ 5- 7+ 53+	2+  0 5- 7+  2 -4  2 -4
Curve Equation t Generators 129850q1 [1,-1,0,-107,601] 1 [-12:13:1]&[9:13:1]
129850r (1 curve)	0	2+ 5- 7+ 53+	2+  0 5- 7+ -6 -4  2  4
Curve Equation t 129850r1 [1,-1,0,-1249154657,-17157819767299] 1
129850s (1 curve)	0	2+ 5- 7+ 53+	2+  1 5- 7+ -4  6 -4  0
Curve Equation t 129850s1 [1,0,1,-1724826,1399753548] 1
129850t (1 curve)	0	2+ 5- 7+ 53+	2+  2 5- 7+  2  4 -3 -2
Curve Equation t 129850t1 [1,1,0,-61275,-4725475] 1
129850u (1 curve)	0	2+ 5- 7+ 53+	2+  3 5- 7+  5  2  2  8
Curve Equation t 129850u1 [1,-1,0,-2939617,5056668791] 1
129850v (2 curves)	1	2+ 5- 7+ 53-	2+ -2 5- 7+ -6 -4 -3  2
Curve Equation t Generators 129850v1 [1,0,1,-14844576,9507746798] 3 [-2948:167761:1] 129850v2 [1,0,1,-617023951,-5899076280702] 1 [-3083142:3563519:216]
129850w (1 curve)	1	2+ 5- 7- 53+	2+  0 5- 7-  2  4 -2  4
Curve Equation t Generators 129850w1 [1,-1,0,-5252,-195644] 1 [150:1466:1]
129850x (1 curve)	1	2+ 5- 7- 53+	2+  0 5- 7- -6  4 -2 -4
Curve Equation t Generators 129850x1 [1,-1,0,-25492952,50030081856] 1 [1040:156456:1]
129850y (1 curve)	1	2+ 5- 7- 53+	2+ -1 5- 7- -4 -6  4  0
Curve Equation t Generators 129850y1 [1,1,0,-35200,-4096000] 1 [8960:843520:1]
129850z (1 curve)	1	2+ 5- 7- 53+	2+ -2 5- 7-  2 -4  3  2
Curve Equation t Generators 129850z1 [1,0,1,-1251,13598] 1 [6:76:1]
129850ba (1 curve)	1	2+ 5- 7- 53+	2+ -3 5- 7-  5 -2 -2 -8
Curve Equation t Generators 129850ba1 [1,-1,0,-59992,-14725334] 1 [228063:20836406:27]
129850bb (1 curve)	0	2+ 5- 7- 53-	2+  1 5- 7-  0  5  8  7
Curve Equation t 129850bb1 [1,0,1,-30826,1475548] 1
129850bc (1 curve)	0	2+ 5- 7- 53-	2+  1 5- 7- -4  3 -2 -5
Curve Equation t 129850bc1 [1,0,1,-720326,233137048] 1
129850bd (1 curve)	0	2+ 5- 7- 53-	2+  1 5- 7-  5  0  7  1
Curve Equation t 129850bd1 [1,0,1,2424,41598] 1
129850be (1 curve)	0	2+ 5- 7- 53-	2+ -1 5- 7-  0 -5 -8 -7
Curve Equation t 129850be1 [1,1,0,-1510450,-507623500] 1
129850bf (1 curve)	0	2+ 5- 7- 53-	2+ -1 5- 7-  4  5  2  5
Curve Equation t 129850bf1 [1,1,0,-1620700,-794824750] 1
129850bg (1 curve)	0	2+ 5- 7- 53-	2+ -1 5- 7-  4 -5  4 -7
Curve Equation t 129850bg1 [1,1,0,-127425,17451925] 1
129850bh (1 curve)	0	2+ 5- 7- 53-	2+  2 5- 7- -2  5  2  2
Curve Equation t 129850bh1 [1,1,0,-107825,13767125] 1
129850bi (2 curves)	0	2+ 5- 7- 53-	2+  2 5- 7- -6  4  3 -2
Curve Equation t 129850bi1 [1,1,0,-727384200,-3261884536000] 1 129850bi2 [1,1,0,-30234173575,2023352930107125] 1
129850bj (1 curve)	0	2+ 5- 7- 53-	2+  3 5- 7- -3 -4  3 -1
Curve Equation t 129850bj1 [1,-1,0,-1072717,-427570459] 1
129850bk (1 curve)	0	2- 5+ 7+ 53+	2-  1 5+ 7+  6  4  6  0
Curve Equation t 129850bk1 [1,0,0,-6808632713,216348713579417] 1
129850bl (1 curve)	0	2- 5+ 7+ 53+	2-  2 5+ 7+ -2 -4 -4  4
Curve Equation t 129850bl1 [1,1,1,-376207938,-2813604555469] 1
129850bm (2 curves)	0	2- 5+ 7+ 53+	2-  2 5+ 7+ -6  4  3  2
Curve Equation t 129850bm1 [1,1,1,-593783,75824461] 1 129850bm2 [1,1,1,-24680958,-47202482629] 1
129850bn (1 curve)	1	2- 5+ 7+ 53-	2-  0 5+ 7+  3 -1 -7  0
Curve Equation t Generators 129850bn1 [1,-1,1,-311380,-41273753] 1 [-437:3565:1]
129850bo (1 curve)	1	2- 5+ 7+ 53-	2-  0 5+ 7+ -3 -1  3  6
Curve Equation t Generators 129850bo1 [1,-1,1,-1366105,575971897] 1 [919:9340:1]
129850bp (2 curves)	1	2- 5+ 7+ 53-	2-  2 5+ 7+  3  1 -3  8
Curve Equation t Generators 129850bp1 [1,1,1,-349594813,2515767132031] 1 [73784809:8985842:6859] 129850bp2 [1,1,1,-353116688,2462486063281] 1 [3179:1169763:1]
129850bq (2 curves)	1	2- 5+ 7+ 53-	2-  2 5+ 7+ -3  1  3  2
Curve Equation t Generators 129850bq1 [1,1,1,-760138,254769031] 1 [4070:-239:8] 129850bq2 [1,1,1,-974513,99390031] 1 [1295:31152:1]
129850br (1 curve)	1	2- 5+ 7+ 53-	2- -2 5+ 7+  2 -4  3 -2
Curve Equation t Generators 129850br1 [1,0,0,-1531888,-587620608] 1 [-584:10680:1]
129850bs (1 curve)	1	2- 5+ 7+ 53-	2- -2 5+ 7+ -5 -3 -3  0
Curve Equation t Generators 129850bs1 [1,0,0,-108438,-13713008] 1 [-192:292:1]
129850bt (1 curve)	1	2- 5+ 7+ 53-	2- -3 5+ 7+  3  6  2 -2
Curve Equation t Generators 129850bt1 [1,-1,1,-80899230,-280051707603] 1 [40609:7942195:1]
129850bu (2 curves)	1	2- 5+ 7- 53+	2-  0 5+ 7-  0 -2 -6  2
Curve Equation t Generators 129850bu1 [1,-1,1,-5130,45497] 2 [-1:225:1] 129850bu2 [1,-1,1,19370,339497] 2 [489:11005:1]
129850bv (2 curves)	1	2- 5+ 7- 53+	2-  1 5+ 7-  0  5  3 -5
Curve Equation t Generators 129850bv1 [1,0,0,-16563,8000117] 1 [26548:531851:64] 129850bv2 [1,0,0,-3587438,2615063492] 1 [872:11814:1]
129850bw (1 curve)	1	2- 5+ 7- 53+	2-  1 5+ 7-  0  5  8 -7
Curve Equation t Generators 129850bw1 [1,0,0,-60418,-4060988] 1 [-192:782:1]
129850bx (1 curve)	1	2- 5+ 7- 53+	2-  1 5+ 7-  4  5 -4 -7
Curve Equation t Generators 129850bx1 [1,0,0,-3185638,2187861892] 1 [648:19570:1]
129850by (1 curve)	1	2- 5+ 7- 53+	2-  1 5+ 7-  4 -5 -2  5
Curve Equation t Generators 129850by1 [1,0,0,-64828,-6358598] 1 [-20231289009416502:10188695029566527:137563899893848]
129850bz (1 curve)	1	2- 5+ 7- 53+	2- -1 5+ 7-  0 -5 -8  7
Curve Equation t Generators 129850bz1 [1,1,1,-1233,11311] 1 [-1:-112:1]
129850ca (1 curve)	1	2- 5+ 7- 53+	2- -1 5+ 7- -4 -3  2 -5
Curve Equation t Generators 129850ca1 [1,1,1,-28813,1853571] 1 [-1:1372:1]
129850cb (1 curve)	1	2- 5+ 7- 53+	2- -1 5+ 7-  5  0 -7  1
Curve Equation t Generators 129850cb1 [1,1,1,60612,5199781] 1 [-442:10605:8]
129850cc (1 curve)	1	2- 5+ 7- 53+	2- -1 5+ 7-  6 -4 -6  0
Curve Equation t Generators 129850cc1 [1,1,1,-138951688,-630813817719] 1 [187845:81156077:1]
129850cd (2 curves)	1	2- 5+ 7- 53+	2-  2 5+ 7-  0  4  4 -2
Curve Equation t Generators 129850cd1 [1,1,1,-10088,-711719] 2 [748007:12708591:2197] 129850cd2 [1,1,1,-195588,-33359719] 2 [149404125507:273797162341:291434247]
129850ce (2 curves)	1	2- 5+ 7- 53+	2-  2 5+ 7-  0 -4 -2 -6
Curve Equation t Generators 129850ce1 [1,1,1,-36275338,-87477476969] 2 [1592848531:12832597085:226981] 129850ce2 [1,1,1,-586839338,-5471993396969] 2 [619072669741993167:-1140250179410798343055:182573756217]
129850cf (2 curves)	1	2- 5+ 7- 53+	2-  2 5+ 7- -4  2  6 -2
Curve Equation t Generators 129850cf1 [1,1,1,-77813,-11668469] 2 [84696153177:2759142498644:72511713] 129850cf2 [1,1,1,-1376313,-621963469] 2 [499754260000715901:-8415010040335828942:337720620364119]
129850cg (1 curve)	1	2- 5+ 7- 53+	2-  2 5+ 7-  5 -4  3  4
Curve Equation t Generators 129850cg1 [1,1,1,-33713,2370031] 1 [41:1008:1]
129850ch (2 curves)	1	2- 5+ 7- 53+	2- -2 5+ 7-  0 -4 -4  2
Curve Equation t Generators 129850ch1 [1,0,0,-494313,242636617] 2 [-192:18275:1] 129850ch2 [1,0,0,-9583813,11413632117] 2 [2458:50817:1]
129850ci (1 curve)	1	2- 5+ 7- 53+	2- -2 5+ 7- -2  4  4 -4
Curve Equation t Generators 129850ci1 [1,0,0,-7677713,8201831917] 1 [1406:661797:8]
129850cj (1 curve)	1	2- 5+ 7- 53+	2- -2 5+ 7- -2 -5 -2  2
Curve Equation t Generators 129850cj1 [1,0,0,-4313,110137] 1 [46:-121:1]
129850ck (2 curves)	1	2- 5+ 7- 53+	2- -2 5+ 7- -6 -4 -3 -2
Curve Equation t Generators 129850ck1 [1,0,0,-29095368,-26095076288] 1 [-4194:150974:1] 129850ck2 [1,0,0,-1209366943,16186823440857] 1 [18278:-443315:1]
129850cl (1 curve)	1	2- 5+ 7- 53+	2- -3 5+ 7-  0  1  3 -1
Curve Equation t Generators 129850cl1 [1,-1,1,1501620,-1324632753] 1 [709:9445:1]
129850cm (1 curve)	1	2- 5+ 7- 53+	2- -3 5+ 7- -3  4 -3 -1
Curve Equation t Generators 129850cm1 [1,-1,1,-26817930,-53473125303] 1 [851695:34947827:125]
129850cn (1 curve)	0	2- 5+ 7- 53-	2-  0 5+ 7-  3  1  7  0
Curve Equation t 129850cn1 [1,-1,1,-6355,122147] 1
129850co (1 curve)	0	2- 5+ 7- 53-	2-  0 5+ 7-  3  4  1  0
Curve Equation t 129850co1 [1,-1,1,890345,-516211153] 1
129850cp (1 curve)	0	2- 5+ 7- 53-	2-  0 5+ 7-  3  4 -3  0
Curve Equation t 129850cp1 [1,-1,1,-6355,-243603] 1
129850cq (1 curve)	2	2- 5+ 7- 53-	2-  0 5+ 7- -3  1 -3 -6
Curve Equation t Generators 129850cq1 [1,-1,1,-27880,-1671253] 1 [-2337:-6845:27]&[-85:323:1]
129850cr (1 curve)	0	2- 5+ 7- 53-	2- -1 5+ 7- -4  1  5  7
Curve Equation t 129850cr1 [1,1,1,-9213,-349469] 1
129850cs (1 curve)	0	2- 5+ 7- 53-	2-  2 5+ 7-  2  4 -3  2
Curve Equation t 129850cs1 [1,1,1,-31263,1699781] 1
129850ct (1 curve)	0	2- 5+ 7- 53-	2-  2 5+ 7- -5  3  3  0
Curve Equation t 129850ct1 [1,1,1,-2213,39031] 1
129850cu (2 curves)	0	2- 5+ 7- 53-	2- -2 5+ 7-  3 -1  3 -8
Curve Equation t 129850cu1 [1,0,0,-17130145838,-862959516724208] 1 129850cu2 [1,0,0,-17302717713,-844684627858583] 1
129850cv (2 curves)	2	2- 5+ 7- 53-	2- -2 5+ 7- -3 -1 -3 -2
Curve Equation t Generators 129850cv1 [1,0,0,-15513,-744983] 1 [-72:37:1]&[162:919:1] 129850cv2 [1,0,0,-19888,-292608] 1 [-128:464:1]&[-64:-816:1]
129850cw (1 curve)	0	2- 5+ 7- 53-	2-  3 5+ 7-  0  1  1  3
Curve Equation t 129850cw1 [1,-1,1,4493070,32867667697] 1
129850cx (1 curve)	0	2- 5+ 7- 53-	2-  3 5+ 7-  3 -6 -2  2
Curve Equation t 129850cx1 [1,-1,1,-1651005,816948997] 1
129850cy (1 curve)	0	2- 5+ 7- 53-	2- -3 5+ 7- -6 -3 -5  5
Curve Equation t 129850cy1 [1,-1,1,-60255,-7733253] 1
129850cz (1 curve)	0	2- 5- 7+ 53-	2-  0 5- 7+  2  4 -2 -4
Curve Equation t 129850cz1 [1,-1,1,-2680,72447] 1
129850da (1 curve)	0	2- 5- 7+ 53-	2-  0 5- 7+ -6  4 -2  4
Curve Equation t 129850da1 [1,-1,1,-31228866430,-2144758699778803] 1
129850db (1 curve)	2	2- 5- 7+ 53-	2- -1 5- 7+ -4 -6  4  0
Curve Equation t Generators 129850db1 [1,1,1,-68993,11170431] 1 [-225:-3808:1]&[-249:3728:1]
129850dc (1 curve)	0	2- 5- 7+ 53-	2- -3 5- 7+  5 -2 -2  8
Curve Equation t 129850dc1 [1,-1,1,-117585,40476867] 1
129850dd (1 curve)	0	2- 5- 7- 53+	2-  1 5- 7- -4 -1  0 -1
Curve Equation t 129850dd1 [1,0,0,-12888,36392] 1
129850de (1 curve)	0	2- 5- 7- 53+	2- -1 5- 7- -4  5  4 -7
Curve Equation t 129850de1 [1,1,1,-612225013,5179514613531] 1
129850df (2 curves)	0	2- 5- 7- 53+	2-  2 5- 7-  6  7  6 -2
Curve Equation t 129850df1 [1,1,1,-1915313,1257514831] 1 129850df2 [1,1,1,-164987313,815619012431] 1
129850dg (1 curve)	1	2- 5- 7- 53-	2-  0 5- 7-  2 -4  2  4
Curve Equation t Generators 129850dg1 [1,-1,1,-131305,-24586803] 1 [16580864332008:-1390866098895:38204652032]
129850dh (1 curve)	1	2- 5- 7- 53-	2-  0 5- 7- -6 -4  2 -4
Curve Equation t Generators 129850dh1 [1,-1,1,-637323805,6253122908197] 1 [-16181:3519340:1]
129850di (1 curve)	1	2- 5- 7- 53-	2-  1 5- 7- -4  6 -4  0
Curve Equation t Generators 129850di1 [1,0,0,-1408,-32768] 1 [96:-896:1]
129850dj (1 curve)	1	2- 5- 7- 53-	2-  3 5- 7-  5  2  2 -8
Curve Equation t Generators 129850dj1 [1,-1,1,-2400,-117323] 1 [12530106:62448625:157464]

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