Cremona's table of elliptic curves

82950 = 2 · 3 · 5² · 7 · 79

Class	r	Atkin-Lehner	Eigenvalues
82950a (1 curve)	1	2+ 3+ 5+ 7+ 79+	2+ 3+ 5+ 7+  0 -1  0  4
Curve Equation t Generators 82950a1 [1,1,0,-2612200,1582024000] 1 [-2051172591:1129444601579:26730899]
82950b (4 curves)	1	2+ 3+ 5+ 7+ 79+	2+ 3+ 5+ 7+  0  2  2 -8
Curve Equation t Generators 82950b1 [1,1,0,4750,-6727500] 2 [132488:1700875:512] 82950b2 [1,1,0,-507250,-136263500] 4 [-3522:12979:8] 82950b3 [1,1,0,-1139250,270112500] 2 [980:9310:1] 82950b4 [1,1,0,-8067250,-8822703500] 2 [399060:27204695:64]
82950c (4 curves)	0	2+ 3+ 5+ 7+ 79-	2+ 3+ 5+ 7+  6 -2  0 -4
Curve Equation t 82950c1 [1,1,0,-109000,8200000] 2 82950c2 [1,1,0,339000,58824000] 2 82950c3 [1,1,0,-3829000,-2885120000] 2 82950c4 [1,1,0,-3486000,-3422601000] 2
82950d (1 curve)	0	2+ 3+ 5+ 7- 79+	2+ 3+ 5+ 7-  0  5 -4  5
Curve Equation t 82950d1 [1,1,0,725,256375] 1
82950e (1 curve)	0	2+ 3+ 5+ 7- 79+	2+ 3+ 5+ 7-  1 -4  2 -5
Curve Equation t 82950e1 [1,1,0,-31250,-2167500] 1
82950f (2 curves)	2	2+ 3+ 5+ 7- 79+	2+ 3+ 5+ 7- -2 -2 -8  2
Curve Equation t Generators 82950f1 [1,1,0,-1184375,495613125] 2 [15825:40475:27]&[-950:28125:1] 82950f2 [1,1,0,-1223875,460734625] 2 [1740:59155:1]&[-480:30865:1]
82950g (6 curves)	0	2+ 3+ 5+ 7- 79+	2+ 3+ 5+ 7-  4  2 -2  4
Curve Equation t 82950g1 [1,1,0,-92500,367954000] 2 82950g2 [1,1,0,-8284500,9076050000] 4 82950g3 [1,1,0,-15484500,-9075150000] 4 82950g4 [1,1,0,-132156500,584709234000] 2 82950g5 [1,1,0,56545500,-69508320000] 2 82950g6 [1,1,0,-202714500,-1110174780000] 2
82950h (4 curves)	0	2+ 3+ 5+ 7- 79+	2+ 3+ 5+ 7-  4 -2 -2  8
Curve Equation t 82950h1 [1,1,0,-6228000,-5961600000] 2 82950h2 [1,1,0,-99540000,-382288896000] 4 82950h3 [1,1,0,-99432000,-383159700000] 2 82950h4 [1,1,0,-1592640000,-24464498796000] 2
82950i (2 curves)	0	2+ 3+ 5+ 7- 79+	2+ 3+ 5+ 7-  4  4 -2 -6
Curve Equation t 82950i1 [1,1,0,-5400,0] 2 82950i2 [1,1,0,21600,27000] 2
82950j (1 curve)	0	2+ 3+ 5+ 7- 79+	2+ 3+ 5+ 7-  5  1 -4  3
Curve Equation t 82950j1 [1,1,0,5,85] 1
82950k (1 curve)	0	2+ 3+ 5+ 7- 79+	2+ 3+ 5+ 7- -6  5  5 -1
Curve Equation t 82950k1 [1,1,0,-172825,23777125] 1
82950l (1 curve)	1	2+ 3+ 5+ 7- 79-	2+ 3+ 5+ 7-  0  1  4  0
Curve Equation t Generators 82950l1 [1,1,0,-35,45] 1 [1:3:1]
82950m (2 curves)	1	2+ 3+ 5+ 7- 79-	2+ 3+ 5+ 7-  2  2  4  4
Curve Equation t Generators 82950m1 [1,1,0,-691496150,-2246013907500] 2 [-3335:153480:1] 82950m2 [1,1,0,2602675850,-17461794375500] 2 [18820505:-81657968065:1]
82950n (2 curves)	1	2+ 3+ 5+ 7- 79-	2+ 3+ 5+ 7-  2  2 -8 -2
Curve Equation t Generators 82950n1 [1,1,0,-11900,-318000] 2 [136:708:1] 82950n2 [1,1,0,-169900,-27020000] 2 [-236:160:1]
82950o (1 curve)	1	2+ 3+ 5+ 7- 79-	2+ 3+ 5+ 7- -4 -1  4  1
Curve Equation t Generators 82950o1 [1,1,0,-38250,2956500] 1 [95:-485:1]
82950p (1 curve)	0	2+ 3+ 5- 7+ 79+	2+ 3+ 5- 7+  0  1  8 -7
Curve Equation t 82950p1 [1,1,0,-49920,-4915200] 1
82950q (1 curve)	0	2+ 3+ 5- 7+ 79+	2+ 3+ 5- 7+  2 -5 -3  3
Curve Equation t 82950q1 [1,1,0,-8640950,-9779466000] 1
82950r (1 curve)	0	2+ 3+ 5- 7+ 79+	2+ 3+ 5- 7+  3 -2  2 -7
Curve Equation t 82950r1 [1,1,0,-11825,967125] 1
82950s (1 curve)	1	2+ 3+ 5- 7+ 79-	2+ 3+ 5- 7+  4  5  3 -1
Curve Equation t Generators 82950s1 [1,1,0,-14450,-673500] 1 [-69:66:1]
82950t (1 curve)	1	2+ 3+ 5- 7- 79+	2+ 3+ 5- 7- -4 -5 -8 -8
Curve Equation t Generators 82950t1 [1,1,0,-39825,-3067875] 1 [-115:-30:1]
82950u (4 curves)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+  4 -2  2  4
Curve Equation t 82950u1 [1,0,1,-7501,-249352] 2 82950u2 [1,0,1,-12001,83648] 4 82950u3 [1,0,1,47249,676148] 2 82950u4 [1,0,1,-143251,20821148] 2
82950v (1 curve)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+  4  7  8  1
Curve Equation t 82950v1 [1,0,1,77557749,751004825398] 1
82950w (2 curves)	0	2+ 3- 5+ 7+ 79+	2+ 3- 5+ 7+ -4 -4  2 -2
Curve Equation t 82950w1 [1,0,1,-340026,75907948] 2 82950w2 [1,0,1,-148026,161155948] 2
82950x (1 curve)	1	2+ 3- 5+ 7- 79+	2+ 3- 5+ 7-  3  0 -6 -3
Curve Equation t Generators 82950x1 [1,0,1,-887526,3178587448] 1 [-628:-58749:1]
82950y (1 curve)	1	2+ 3- 5+ 7- 79+	2+ 3- 5+ 7- -3  4  6  1
Curve Equation t Generators 82950y1 [1,0,1,-8026,-440302] 1 [322:5351:1]
82950z (1 curve)	1	2+ 3- 5+ 7- 79+	2+ 3- 5+ 7- -6  1 -5 -1
Curve Equation t Generators 82950z1 [1,0,1,-1956,33118] 1 [23:-33:1]
82950ba (1 curve)	1	2+ 3- 5+ 7- 79+	2+ 3- 5+ 7- -6 -5 -3 -2
Curve Equation t Generators 82950ba1 [1,0,1,-15306,811228] 1 [-22:-1056:1]
82950bb (1 curve)	0	2+ 3- 5+ 7- 79-	2+ 3- 5+ 7-  2 -1 -3  6
Curve Equation t 82950bb1 [1,0,1,34,98] 1
82950bc (2 curves)	0	2+ 3- 5+ 7- 79-	2+ 3- 5+ 7- -2 -2  8  4
Curve Equation t 82950bc1 [1,0,1,-501,3148] 2 82950bc2 [1,0,1,1249,20648] 2
82950bd (1 curve)	1	2+ 3- 5- 7+ 79+	2+ 3- 5- 7+  6  3  2 -2
Curve Equation t Generators 82950bd1 [1,0,1,-5951,-155452] 1 [-52:144:1]
82950be (1 curve)	0	2+ 3- 5- 7+ 79-	2+ 3- 5- 7+  0  5  4 -7
Curve Equation t 82950be1 [1,0,1,351049,26614298] 1
82950bf (1 curve)	0	2+ 3- 5- 7+ 79-	2+ 3- 5- 7+  2  1  1  6
Curve Equation t 82950bf1 [1,0,1,-1699951,-853382302] 1
82950bg (1 curve)	0	2+ 3- 5- 7- 79+	2+ 3- 5- 7-  3 -5  4  7
Curve Equation t 82950bg1 [1,0,1,-139276,-20050102] 1
82950bh (2 curves)	0	2+ 3- 5- 7- 79+	2+ 3- 5- 7-  4  2 -2  4
Curve Equation t 82950bh1 [1,0,1,-48826,-4148452] 2 82950bh2 [1,0,1,-31326,-7158452] 2
82950bi (2 curves)	1	2+ 3- 5- 7- 79-	2+ 3- 5- 7-  0  2 -6  5
Curve Equation t Generators 82950bi1 [1,0,1,-1026,43048] 3 [-43:111:1] 82950bi2 [1,0,1,9099,-1074752] 1 [731:19542:1]
82950bj (2 curves)	1	2+ 3- 5- 7- 79-	2+ 3- 5- 7- -2 -2  4  0
Curve Equation t Generators 82950bj1 [1,0,1,-386,1568] 2 [-18:61:1] 82950bj2 [1,0,1,-2836,-57232] 2 [-32:47:1]
82950bk (1 curve)	1	2+ 3- 5- 7- 79-	2+ 3- 5- 7-  4 -3 -3 -5
Curve Equation t Generators 82950bk1 [1,0,1,-18477201,30568702948] 1 [-613:204426:1]
82950bl (2 curves)	1	2+ 3- 5- 7- 79-	2+ 3- 5- 7- -6 -7 -6  2
Curve Equation t Generators 82950bl1 [1,0,1,-174451,26987798] 3 [-1234:57313:8] 82950bl2 [1,0,1,-2148826,-1204718452] 1 [-872:2924:1]
82950bm (1 curve)	0	2- 3+ 5+ 7+ 79+	2- 3+ 5+ 7+  3  5 -4  7
Curve Equation t 82950bm1 [1,1,1,-3481888,-2506262719] 1
82950bn (2 curves)	0	2- 3+ 5+ 7+ 79+	2- 3+ 5+ 7+  4  2  4 -2
Curve Equation t 82950bn1 [1,1,1,29662,-757969] 2 82950bn2 [1,1,1,-128338,-6445969] 2
82950bo (2 curves)	0	2- 3+ 5+ 7+ 79+	2- 3+ 5+ 7+ -4  4  2  2
Curve Equation t 82950bo1 [1,1,1,-238,1031] 2 82950bo2 [1,1,1,512,7031] 2
82950bp (2 curves)	1	2- 3+ 5+ 7+ 79-	2- 3+ 5+ 7+  0 -2  6  5
Curve Equation t Generators 82950bp1 [1,1,1,-25638,5381031] 1 [31688:1012519:512] 82950bp2 [1,1,1,227487,-134343969] 1 [811:23768:1]
82950bq (4 curves)	1	2- 3+ 5+ 7+ 79-	2- 3+ 5+ 7+  0  4 -6  2
Curve Equation t Generators 82950bq1 [1,1,1,-26263,-785719] 2 [-64877032:665169399:681472] 82950bq2 [1,1,1,-208513,36028781] 2 [-19756:549495:64] 82950bq3 [1,1,1,-1798138,-928822969] 2 [5275:366687:1] 82950bq4 [1,1,1,-1807138,-919066969] 2 [-841:3027:1]
82950br (2 curves)	1	2- 3+ 5+ 7+ 79-	2- 3+ 5+ 7+  0 -5  0 -7
Curve Equation t Generators 82950br1 [1,1,1,-2849491463,58545082822781] 1 [30845:-6848:1] 82950br2 [1,1,1,-2446141838,75700929539531] 1 [43025:7056887:1]
82950bs (2 curves)	1	2- 3+ 5+ 7+ 79-	2- 3+ 5+ 7+  4 -2 -2  4
Curve Equation t Generators 82950bs1 [1,1,1,-13713,-621969] 2 [-71:38:1] 82950bs2 [1,1,1,-7713,-1161969] 2 [129:38:1]
82950bt (1 curve)	1	2- 3+ 5+ 7+ 79-	2- 3+ 5+ 7+  4  3  3 -5
Curve Equation t Generators 82950bt1 [1,1,1,-461930013,3821087868531] 1 [12489:8322:1]
82950bu (2 curves)	1	2- 3+ 5+ 7+ 79-	2- 3+ 5+ 7+ -6  7  6  2
Curve Equation t Generators 82950bu1 [1,1,1,-6978,213111] 1 [39:27:1] 82950bu2 [1,1,1,-85953,-9672129] 1 [-159:158:1]
82950bv (2 curves)	1	2- 3+ 5+ 7- 79+	2- 3+ 5+ 7-  2 -2  2  0
Curve Equation t Generators 82950bv1 [1,1,1,-38688,3817281] 2 [81:-1147:1] 82950bv2 [1,1,1,-670688,211113281] 2 [425:1537:1]
82950bw (2 curves)	1	2- 3+ 5+ 7- 79+	2- 3+ 5+ 7- -2 -2  4  6
Curve Equation t Generators 82950bw1 [1,1,1,-29509722213,-1246819170848469] 2 [-118905:24161852:1] 82950bw2 [1,1,1,-195184730213,32270228997599531] 2 [207975:-26034788:1]
82950bx (1 curve)	1	2- 3+ 5+ 7- 79+	2- 3+ 5+ 7-  6 -3 -2 -2
Curve Equation t Generators 82950bx1 [1,1,1,-238,-1339] 1 [-82:135:8]
82950by (2 curves)	1	2- 3+ 5+ 7- 79+	2- 3+ 5+ 7- -6  6  4 -2
Curve Equation t Generators 82950by1 [1,1,1,-14963,63281] 2 [-25:662:1] 82950by2 [1,1,1,-172963,27555281] 2 [-55:6102:1]
82950bz (2 curves)	0	2- 3+ 5+ 7- 79-	2- 3+ 5+ 7-  0 -4  6  6
Curve Equation t 82950bz1 [1,1,1,-5688,-139719] 2 82950bz2 [1,1,1,-86688,-9859719] 2
82950ca (1 curve)	0	2- 3+ 5+ 7- 79-	2- 3+ 5+ 7-  2 -1 -1  6
Curve Equation t 82950ca1 [1,1,1,-42498763,-106672787719] 1
82950cb (2 curves)	0	2- 3+ 5+ 7- 79-	2- 3+ 5+ 7-  2 -2  4  4
Curve Equation t 82950cb1 [1,1,1,-9165688,10573188281] 2 82950cb2 [1,1,1,-1997688,26686852281] 2
82950cc (2 curves)	1	2- 3+ 5- 7+ 79+	2- 3+ 5- 7+  4 -2  2  4
Curve Equation t Generators 82950cc1 [1,1,1,-1953,-33969] 2 [65:312:1] 82950cc2 [1,1,1,-1253,-57769] 2 [1713:8606:27]
82950cd (1 curve)	1	2- 3+ 5- 7+ 79+	2- 3+ 5- 7+ -6 -1  5 -1
Curve Equation t Generators 82950cd1 [1,1,1,-48888,4139781] 1 [129:-37:1]
82950ce (1 curve)	1	2- 3+ 5- 7+ 79+	2- 3+ 5- 7+ -6  5  3 -2
Curve Equation t Generators 82950ce1 [1,1,1,-382638,101403531] 1 [285:-4093:1]
82950cf (1 curve)	0	2- 3+ 5- 7+ 79-	2- 3+ 5- 7+  2  1  3  6
Curve Equation t 82950cf1 [1,1,1,862,12281] 1
82950cg (2 curves)	0	2- 3+ 5- 7+ 79-	2- 3+ 5- 7+ -2  2 -4  0
Curve Equation t 82950cg1 [1,1,1,-9638,196031] 2 82950cg2 [1,1,1,-70888,-7153969] 2
82950ch (1 curve)	1	2- 3+ 5- 7- 79-	2- 3+ 5- 7-  0 -5 -4 -7
Curve Equation t Generators 82950ch1 [1,1,1,14042,218531] 1 [205:-3533:1]
82950ci (4 curves)	1	2- 3- 5+ 7+ 79+	2- 3- 5+ 7+  0 -2  2 -4
Curve Equation t Generators 82950ci1 [1,0,0,-554463,-142652583] 2 [-378:-3411:1] 82950ci2 [1,0,0,-2122463,1038051417] 4 [-524:45055:1] 82950ci3 [1,0,0,3407537,5545001417] 2 [476:85055:1] 82950ci4 [1,0,0,-32740463,72102429417] 2 [3472:-18611:1]
82950cj (2 curves)	1	2- 3- 5+ 7+ 79+	2- 3- 5+ 7+ -2  2 -4  6
Curve Equation t Generators 82950cj1 [1,0,0,-36813,2671617] 2 [-6412:151331:64] 82950cj2 [1,0,0,-76313,-4082883] 2 [5606:132647:8]
82950ck (1 curve)	1	2- 3- 5+ 7+ 79+	2- 3- 5+ 7+  3  4  2 -1
Curve Equation t Generators 82950ck1 [1,0,0,15912,57792] 1 [264:12368:27]
82950cl (1 curve)	1	2- 3- 5+ 7+ 79+	2- 3- 5+ 7+ -4  5  8 -8
Curve Equation t Generators 82950cl1 [1,0,0,-1593,-24543] 1 [-24:15:1]
82950cm (2 curves)	0	2- 3- 5+ 7+ 79-	2- 3- 5+ 7+  0  0  2 -2
Curve Equation t 82950cm1 [1,0,0,-33971763,-76213501983] 2 82950cm2 [1,0,0,-35267763,-70084717983] 2
82950cn (2 curves)	0	2- 3- 5+ 7+ 79-	2- 3- 5+ 7+ -6  6  2 -8
Curve Equation t 82950cn1 [1,0,0,6937,130617] 2 82950cn2 [1,0,0,-32563,1118117] 2
82950co (1 curve)	0	2- 3- 5+ 7- 79+	2- 3- 5+ 7-  2  5  3  3
Curve Equation t 82950co1 [1,0,0,-345638,-78235728] 1
82950cp (2 curves)	0	2- 3- 5+ 7- 79+	2- 3- 5+ 7- -4 -4  6  6
Curve Equation t 82950cp1 [1,0,0,-858040463,-3800339720583] 2 82950cp2 [1,0,0,3123271537,-29093614856583] 2
82950cq (2 curves)	1	2- 3- 5+ 7- 79-	2- 3- 5+ 7-  0  0 -2 -6
Curve Equation t Generators 82950cq1 [1,0,0,-10521938,-10284320508] 2 [-2492:22750:1] 82950cq2 [1,0,0,-157977938,-764226848508] 2 [-7292:8350:1]
82950cr (2 curves)	1	2- 3- 5+ 7- 79-	2- 3- 5+ 7-  0 -6 -8  6
Curve Equation t Generators 82950cr1 [1,0,0,13387,1517217] 2 [22:-1361:1] 82950cr2 [1,0,0,-144613,18739217] 2 [392:-4921:1]
82950cs (2 curves)	1	2- 3- 5+ 7- 79-	2- 3- 5+ 7- -2 -2  6 -4
Curve Equation t Generators 82950cs1 [1,0,0,-505313,309532617] 2 [346:-13445:1] 82950cs2 [1,0,0,-10617313,13303452617] 2 [1442:30779:1]
82950ct (1 curve)	1	2- 3- 5+ 7- 79-	2- 3- 5+ 7-  4 -5 -3 -1
Curve Equation t Generators 82950ct1 [1,0,0,-578,-5388] 1 [-14:10:1]
82950cu (1 curve)	0	2- 3- 5- 7+ 79+	2- 3- 5- 7+  5 -1  4  3
Curve Equation t 82950cu1 [1,0,0,112,10392] 1
82950cv (1 curve)	2	2- 3- 5- 7+ 79+	2- 3- 5- 7+ -6 -5 -5 -1
Curve Equation t Generators 82950cv1 [1,0,0,-6913,190217] 1 [1202:40979:1]&[-88:389:1]
82950cw (1 curve)	1	2- 3- 5- 7+ 79-	2- 3- 5- 7+  0 -1 -4  0
Curve Equation t Generators 82950cw1 [1,0,0,-888,7392] 1 [2:74:1]
82950cx (1 curve)	1	2- 3- 5- 7- 79+	2- 3- 5- 7-  0  1  0  4
Curve Equation t Generators 82950cx1 [1,0,0,-104488,12656192] 1 [-208:5144:1]
82950cy (1 curve)	1	2- 3- 5- 7- 79+	2- 3- 5- 7-  0 -1 -8 -7
Curve Equation t Generators 82950cy1 [1,0,0,-1248013,-611903983] 1 [3202:166399:1]
82950cz (1 curve)	1	2- 3- 5- 7- 79+	2- 3- 5- 7-  3  2 -2 -7
Curve Equation t Generators 82950cz1 [1,0,0,-473,7737] 1 [22:79:1]

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