Cremona's table of elliptic curves

43050 = 2 · 3 · 5² · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
43050a (2 curves)	1	2+ 3+ 5+ 7+ 41+	2+ 3+ 5+ 7+ -3  4 -6  5
Curve Equation t Generators 43050a1 [1,1,0,-700,7000] 1 [15:5:1] 43050a2 [1,1,0,3050,31750] 1 [45:490:1]
43050b (2 curves)	0	2+ 3+ 5+ 7+ 41-	2+ 3+ 5+ 7+ -3  4  0 -7
Curve Equation t 43050b1 [1,1,0,3302100,7348050000] 1 43050b2 [1,1,0,-30153900,-215195358000] 1
43050c (4 curves)	2	2+ 3+ 5+ 7+ 41-	2+ 3+ 5+ 7+ -4 -6 -6  4
Curve Equation t Generators 43050c1 [1,1,0,-2375,43125] 2 [-50:225:1]&[150:525:8] 43050c2 [1,1,0,-4375,-42875] 4 [-55:215:1]&[-51:251:1] 43050c3 [1,1,0,16125,-309375] 2 [30:435:1]&[80:-1265:1] 43050c4 [1,1,0,-56875,-5240375] 2 [320:2915:1]&[-135:80:1]
43050d (1 curve)	0	2+ 3+ 5+ 7- 41+	2+ 3+ 5+ 7-  0  5  1 -1
Curve Equation t 43050d1 [1,1,0,-800,48000] 1
43050e (1 curve)	0	2+ 3+ 5+ 7- 41+	2+ 3+ 5+ 7- -1 -4 -8  1
Curve Equation t 43050e1 [1,1,0,-48750,-4183500] 1
43050f (4 curves)	0	2+ 3+ 5+ 7- 41+	2+ 3+ 5+ 7-  4  6  2 -4
Curve Equation t 43050f1 [1,1,0,-3688125,3318598125] 2 43050f2 [1,1,0,-62512625,190204034625] 4 43050f3 [1,1,0,-66028375,167608309375] 2 43050f4 [1,1,0,-1000188875,12174644185875] 2
43050g (4 curves)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  0  6  2  0
Curve Equation t Generators 43050g1 [1,1,0,-816125,279592125] 2 [-710:22755:1] 43050g2 [1,1,0,-1616125,-359607875] 4 [-835:20630:1] 43050g3 [1,1,0,5673875,-2699697875] 4 [715:41155:1] 43050g4 [1,1,0,-21706125,-38912317875] 2 [9504561:-553996554:1331]
43050h (4 curves)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  0 -6 -2 -4
Curve Equation t Generators 43050h1 [1,1,0,-2550,58500] 2 [21:111:1] 43050h2 [1,1,0,-43050,3420000] 4 [75:750:1] 43050h3 [1,1,0,-45300,3039750] 2 [15:1530:1] 43050h4 [1,1,0,-688800,219746250] 2 [479:-230:1]
43050i (1 curve)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7- -1  4 -2  5
Curve Equation t Generators 43050i1 [1,1,0,-82400,10547250] 1 [-215:4395:1]
43050j (2 curves)	0	2+ 3+ 5- 7+ 41+	2+ 3+ 5- 7+  4  4 -2  4
Curve Equation t 43050j1 [1,1,0,-138950,8116500] 2 43050j2 [1,1,0,501050,62516500] 2
43050k (1 curve)	1	2+ 3+ 5- 7- 41+	2+ 3+ 5- 7-  3  0  3  2
Curve Equation t Generators 43050k1 [1,1,0,-1200,504000] 1 [-40:720:1]
43050l (1 curve)	0	2+ 3- 5+ 7+ 41+	2+ 3- 5+ 7+ -3  0  0 -1
Curve Equation t 43050l1 [1,0,1,-151,-122302] 1
43050m (4 curves)	0	2+ 3- 5+ 7+ 41+	2+ 3- 5+ 7+ -4 -2  2  4
Curve Equation t 43050m1 [1,0,1,2524,408098] 2 43050m2 [1,0,1,-69476,6744098] 4 43050m3 [1,0,1,-192476,-23759902] 2 43050m4 [1,0,1,-1098476,443040098] 2
43050n (2 curves)	2	2+ 3- 5+ 7+ 41+	2+ 3- 5+ 7+ -4 -6  0 -8
Curve Equation t Generators 43050n1 [1,0,1,-38501,2891648] 2 [87:-494:1]&[-1194:19043:8] 43050n2 [1,0,1,-18001,5966648] 2 [22:2351:1]&[-167:2162:1]
43050o (4 curves)	1	2+ 3- 5+ 7+ 41-	2+ 3- 5+ 7+  0  6  2  0
Curve Equation t Generators 43050o1 [1,0,1,-12751,448898] 2 [-38:956:1] 43050o2 [1,0,1,-62751,-5651102] 4 [-118:396:1] 43050o3 [1,0,1,59749,-25006102] 4 [237:1456:1] 43050o4 [1,0,1,-985251,-376496102] 2 [4828:325322:1]
43050p (1 curve)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7- -1  0 -2 -1
Curve Equation t Generators 43050p1 [1,0,1,123224,-77793802] 1 [352:2861:1]
43050q (1 curve)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7-  2 -3 -2  2
Curve Equation t Generators 43050q1 [1,0,1,22999,-454852] 1 [23:282:1]
43050r (1 curve)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7-  3  0 -7 -6
Curve Equation t Generators 43050r1 [1,0,1,4801549,838288298] 1 [261:45796:1]
43050s (2 curves)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7- -6  0  8 -6
Curve Equation t Generators 43050s1 [1,0,1,-1107506026,-14186324118052] 2 [91021:25234961:1] 43050s2 [1,0,1,-1101256026,-14354349118052] 2 [353537:209070381:1]
43050t (4 curves)	0	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7-  0  2 -2  4
Curve Equation t 43050t1 [1,0,1,25099,328448] 2 43050t2 [1,0,1,-102901,2632448] 4 43050t3 [1,0,1,-1002901,-384367552] 2 43050t4 [1,0,1,-1250901,537600448] 2
43050u (1 curve)	0	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7- -1  0 -4 -5
Curve Equation t 43050u1 [1,0,1,-861276,-307743302] 1
43050v (2 curves)	0	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7-  2  6  2 -8
Curve Equation t 43050v1 [1,0,1,-9451,371798] 2 43050v2 [1,0,1,-153451,23123798] 2
43050w (1 curve)	0	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7- -4  3  7  5
Curve Equation t 43050w1 [1,0,1,-135626,23689148] 1
43050x (4 curves)	0	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7- -4 -6  2  4
Curve Equation t 43050x1 [1,0,1,-225501,-40393352] 2 43050x2 [1,0,1,-3587501,-2615685352] 4 43050x3 [1,0,1,-3567001,-2647050352] 2 43050x4 [1,0,1,-57400001,-167389560352] 2
43050y (2 curves)	0	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7-  6 -2  2  0
Curve Equation t 43050y1 [1,0,1,-12001,-528352] 2 43050y2 [1,0,1,-194251,-32968852] 2
43050z (2 curves)	1	2+ 3- 5- 7+ 41+	2+ 3- 5- 7+  0  2  0  6
Curve Equation t Generators 43050z1 [1,0,1,384,20878] 2 [17:-189:1] 43050z2 [1,0,1,-9416,334478] 2 [12:466:1]
43050ba (2 curves)	1	2+ 3- 5- 7+ 41+	2+ 3- 5- 7+  2  2  4 -6
Curve Equation t Generators 43050ba1 [1,0,1,-3571,-82162] 2 [543:12304:1] 43050ba2 [1,0,1,-1971,-155762] 2 [71:216:1]
43050bb (2 curves)	0	2+ 3- 5- 7- 41+	2+ 3- 5- 7-  0  4  6  0
Curve Equation t 43050bb1 [1,0,1,-2076,-35702] 2 43050bb2 [1,0,1,424,-115702] 2
43050bc (2 curves)	2	2+ 3- 5- 7- 41+	2+ 3- 5- 7- -6 -2 -6 -2
Curve Equation t Generators 43050bc1 [1,0,1,-8956,324458] 2 [37:191:1]&[-754:4993:8] 43050bc2 [1,0,1,-13056,-3542] 2 [-112:294:1]&[-67:789:1]
43050bd (2 curves)	1	2+ 3- 5- 7- 41-	2+ 3- 5- 7- -3 -4 -3  2
Curve Equation t Generators 43050bd1 [1,0,1,-451,-23302] 3 [37:86:1] 43050bd2 [1,0,1,-77326,-8282752] 1 [693:16117:1]
43050be (2 curves)	1	2+ 3- 5- 7- 41-	2+ 3- 5- 7-  6 -2 -6  2
Curve Equation t Generators 43050be1 [1,0,1,-17671,872138] 2 [52:281:1] 43050be2 [1,0,1,-280071,57025738] 2 [311:-324:1]
43050bf (1 curve)	0	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+ -2  5  2 -6
Curve Equation t 43050bf1 [1,1,1,-1063,-61219] 1
43050bg (2 curves)	2	2- 3+ 5+ 7+ 41+	2- 3+ 5+ 7+ -6 -4  0 -6
Curve Equation t Generators 43050bg1 [1,1,1,-84088,9348281] 2 [-35:3517:1]&[-325:1737:1] 43050bg2 [1,1,1,-74088,11668281] 2 [171:-2095:1]&[-75:4137:1]
43050bh (2 curves)	1	2- 3+ 5+ 7+ 41-	2- 3+ 5+ 7+  0  1  3 -1
Curve Equation t Generators 43050bh1 [1,1,1,-52038,-5089719] 1 [186798:28449895:8] 43050bh2 [1,1,1,-4341663,-3483837219] 1 [2100074248030962:-320900858604910419:89795023352]
43050bi (2 curves)	1	2- 3+ 5+ 7+ 41-	2- 3+ 5+ 7+ -3  4  3  2
Curve Equation t Generators 43050bi1 [1,1,1,-11263,-2912719] 1 [1039:32772:1] 43050bi2 [1,1,1,-1933138,-1035343969] 1 [11045251:32511273:6859]
43050bj (2 curves)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7-  0 -2  0 -4
Curve Equation t Generators 43050bj1 [1,1,1,-130061313,-567232467969] 2 [-6225:-31888:1] 43050bj2 [1,1,1,-46093313,-1289525203969] 2 [203695:-91976848:1]
43050bk (2 curves)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7- -4  2  4  4
Curve Equation t 43050bk1 [1,1,1,-271338,-14760969] 2 43050bk2 [1,1,1,1040662,-114472969] 2
43050bl (2 curves)	1	2- 3+ 5- 7+ 41+	2- 3+ 5- 7+  0 -4 -6  0
Curve Equation t Generators 43050bl1 [1,1,1,-83,-319] 2 [-50:31:8] 43050bl2 [1,1,1,17,-919] 2 [19:-92:1]
43050bm (1 curve)	1	2- 3+ 5- 7+ 41+	2- 3+ 5- 7+  3  0  7 -6
Curve Equation t Generators 43050bm1 [1,1,1,192062,6783131] 1 [-35:157:1]
43050bn (2 curves)	1	2- 3+ 5- 7+ 41+	2- 3+ 5- 7+ -6  2  6 -2
Curve Equation t Generators 43050bn1 [1,1,1,-223888,40557281] 2 [-371:8713:1] 43050bn2 [1,1,1,-326388,-442719] 2 [-3218:66579:8]
43050bo (2 curves)	0	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+  6  2  6  2
Curve Equation t 43050bo1 [1,1,1,-441763,109017281] 2 43050bo2 [1,1,1,-7001763,7128217281] 2
43050bp (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  0 -2  0  6
Curve Equation t 43050bp1 [1,1,1,9612,2609781] 2 43050bp2 [1,1,1,-235388,41809781] 2
43050bq (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  2 -2 -4 -6
Curve Equation t 43050bq1 [1,1,1,-89263,-10270219] 2 43050bq2 [1,1,1,-49263,-19470219] 2
43050br (1 curve)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+ -1  4  2  7
Curve Equation t Generators 43050br1 [1,0,0,-12963,-611583] 1 [302:4649:1]
43050bs (1 curve)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  3  0 -3  2
Curve Equation t Generators 43050bs1 [1,0,0,-48,4032] 1 [6:-66:1]
43050bt (1 curve)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  4 -1 -3 -3
Curve Equation t Generators 43050bt1 [1,0,0,-1589963,787134417] 1 [796:4705:1]
43050bu (4 curves)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  4  2 -6  0
Curve Equation t Generators 43050bu1 [1,0,0,19412,155792] 2 [32:884:1] 43050bu2 [1,0,0,-78588,1233792] 4 [-138:3144:1] 43050bu3 [1,0,0,-796088,-272133708] 2 [-488:694:1] 43050bu4 [1,0,0,-929088,343985292] 2 [732:7134:1]
43050bv (1 curve)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  2 -1  6  6
Curve Equation t 43050bv1 [1,0,0,-1113,14217] 1
43050bw (1 curve)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -3 -4  4  7
Curve Equation t 43050bw1 [1,0,0,-15813,-1190133] 1
43050bx (1 curve)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -4 -1 -3 -3
Curve Equation t 43050bx1 [1,0,0,-3163,1586567] 1
43050by (4 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -4  2 -6  0
Curve Equation t 43050by1 [1,0,0,-1052713,-412038583] 2 43050by2 [1,0,0,-1893213,338527917] 4 43050by3 [1,0,0,7075537,2625559167] 2 43050by4 [1,0,0,-24309963,46091114667] 2
43050bz (1 curve)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  5 -4  0  3
Curve Equation t 43050bz1 [1,0,0,23912,-1398208] 1
43050ca (4 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -4  2 -2 -4
Curve Equation t Generators 43050ca1 [1,0,0,-3292813,2113977617] 2 [562:20719:1] 43050ca2 [1,0,0,-11484813,-12590662383] 4 [7122:-520161:1] 43050ca3 [1,0,0,21443187,-71498854383] 2 [6338:-567985:1] 43050ca4 [1,0,0,-175484813,-894746662383] 2 [-7658:9079:1]
43050cb (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  5 -4 -2 -1
Curve Equation t Generators 43050cb1 [1,0,0,4112,159392] 1 [122:-1636:1]
43050cc (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7-  4 -4  2  4
Curve Equation t Generators 43050cc1 [1,0,0,-5558,64932] 2 [-68:394:1] 43050cc2 [1,0,0,20042,500132] 2 [68:-1510:1]

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