Cremona's table of elliptic curves

103350 = 2 · 3 · 5² · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
103350a (1 curve)	1	2+ 3+ 5+ 13+ 53+	2+ 3+ 5+  2 -3 13+ -3 -2
Curve Equation t Generators 103350a1 [1,1,0,123225,-1132875] 1 [3981:250203:1]
103350b (2 curves)	0	2+ 3+ 5+ 13+ 53-	2+ 3+ 5+  0 -2 13+  8  2
Curve Equation t 103350b1 [1,1,0,92625,4753125] 2 103350b2 [1,1,0,-407375,39253125] 2
103350c (2 curves)	0	2+ 3+ 5+ 13+ 53-	2+ 3+ 5+  1 -3 13+ -6 -1
Curve Equation t 103350c1 [1,1,0,-540950,159436500] 1 103350c2 [1,1,0,2834050,370711500] 1
103350d (4 curves)	0	2+ 3+ 5+ 13+ 53-	2+ 3+ 5+ -2  6 13+  6 -4
Curve Equation t 103350d1 [1,1,0,-44744525,115128220125] 2 103350d2 [1,1,0,-52744525,71104220125] 2 103350d3 [1,1,0,-139280525,-496516891875] 2 103350d4 [1,1,0,-2092405525,-36838313766875] 2
103350e (1 curve)	0	2+ 3+ 5+ 13+ 53-	2+ 3+ 5+ -3  1 13+ -4  5
Curve Equation t 103350e1 [1,1,0,-170900,70713750] 1
103350f (2 curves)	0	2+ 3+ 5+ 13- 53+	2+ 3+ 5+  0  2 13-  2 -6
Curve Equation t 103350f1 [1,1,0,-363375,-294372862875] 2 103350f2 [1,1,0,-665963375,-6510411262875] 2
103350g (4 curves)	2	2+ 3+ 5+ 13- 53+	2+ 3+ 5+  0 -4 13-  2  0
Curve Equation t Generators 103350g1 [1,1,0,-23625,1387125] 2 [-135:1530:1]&[-54:1611:1] 103350g2 [1,1,0,-28125,815625] 4 [-139:1506:1]&[225:-2550:1] 103350g3 [1,1,0,98625,6265875] 2 [11:2706:1]&[95:-4110:1] 103350g4 [1,1,0,-226875,-41120625] 2 [-259:721:1]&[1505:54285:1]
103350h (1 curve)	1	2+ 3+ 5+ 13- 53-	2+ 3+ 5+  1  5 13-  8 -7
Curve Equation t Generators 103350h1 [1,1,0,-225,-16875] 1 [350:1775:8]
103350i (1 curve)	0	2+ 3+ 5- 13+ 53+	2+ 3+ 5-  2  4 13+  0  1
Curve Equation t 103350i1 [1,1,0,175,-442875] 1
103350j (2 curves)	1	2+ 3+ 5- 13- 53+	2+ 3+ 5- -2  0 13- -8  6
Curve Equation t Generators 103350j1 [1,1,0,-131325,7912125] 2 [339:1410:1] 103350j2 [1,1,0,-1751325,890812125] 2 [951:8826:1]
103350k (1 curve)	1	2+ 3+ 5- 13- 53+	2+ 3+ 5- -2 -3 13-  0  2
Curve Equation t Generators 103350k1 [1,1,0,37675,3622125] 1 [10:1995:1]
103350l (1 curve)	0	2+ 3+ 5- 13- 53-	2+ 3+ 5-  0 -5 13- -4 -1
Curve Equation t 103350l1 [1,1,0,2050,76500] 1
103350m (1 curve)	0	2+ 3+ 5- 13- 53-	2+ 3+ 5-  1 -2 13-  6 -2
Curve Equation t 103350m1 [1,1,0,-10295,-410475] 1
103350n (6 curves)	0	2+ 3- 5+ 13+ 53+	2+ 3- 5+  0  4 13+  6  4
Curve Equation t 103350n1 [1,0,1,42624,29384398] 2 103350n2 [1,0,1,-1207376,489384398] 4 103350n3 [1,0,1,-3319876,-1690715602] 4 103350n4 [1,0,1,-19094876,32114484398] 2 103350n5 [1,0,1,8526374,-11025560602] 2 103350n6 [1,0,1,-48966126,-131873820602] 2
103350o (1 curve)	1	2+ 3- 5+ 13+ 53-	2+ 3- 5+  0  5 13+ -4  2
Curve Equation t Generators 103350o1 [1,0,1,-1940401,-2212005052] 1 [60043:14678714:1]
103350p (2 curves)	1	2+ 3- 5+ 13+ 53-	2+ 3- 5+  2 -4 13+  2  2
Curve Equation t Generators 103350p1 [1,0,1,-18526,634448] 2 [22:476:1] 103350p2 [1,0,1,53474,4378448] 2 [-8:1991:1]
103350q (2 curves)	1	2+ 3- 5+ 13+ 53-	2+ 3- 5+ -2 -6 13+ -6 -8
Curve Equation t Generators 103350q1 [1,0,1,-194043151,1039353573698] 2 [8887:125156:1] 103350q2 [1,0,1,-244043151,462053573698] 2 [-11128:1347126:1]
103350r (1 curve)	1	2+ 3- 5+ 13- 53+	2+ 3- 5+  1  3 13-  4  7
Curve Equation t Generators 103350r1 [1,0,1,89349,13471198] 1 [62:-4419:1]
103350s (2 curves)	1	2+ 3- 5+ 13- 53+	2+ 3- 5+ -2  0 13-  4 -2
Curve Equation t Generators 103350s1 [1,0,1,35724,-4380302] 2 [47446:590918:343] 103350s2 [1,0,1,-284276,-47900302] 2 [-378:2551:1]
103350t (2 curves)	1	2+ 3- 5+ 13- 53+	2+ 3- 5+ -2  2 13-  2  4
Curve Equation t Generators 103350t1 [1,0,1,-30401,2024948] 2 [132:-629:1] 103350t2 [1,0,1,-50401,-975052] 2 [-68:1496:1]
103350u (1 curve)	1	2+ 3- 5+ 13- 53+	2+ 3- 5+  3  0 13-  2 -4
Curve Equation t Generators 103350u1 [1,0,1,1441999,-777658102] 1 [1362:-61619:1]
103350v (1 curve)	0	2+ 3- 5+ 13- 53-	2+ 3- 5+  0  4 13-  2  7
Curve Equation t 103350v1 [1,0,1,-241,-1852] 1
103350w (1 curve)	1	2+ 3- 5- 13+ 53+	2+ 3- 5-  2  1 13+  0 -2
Curve Equation t Generators 103350w1 [1,0,1,-8703326,9882548048] 1 [1701:-1619:1]
103350x (1 curve)	1	2+ 3- 5- 13+ 53+	2+ 3- 5- -3  6 13+  6 -6
Curve Equation t Generators 103350x1 [1,0,1,-4317951,9048777298] 1 [2852:139761:1]
103350y (2 curves)	0	2+ 3- 5- 13+ 53-	2+ 3- 5-  0  0 13+  6 -8
Curve Equation t 103350y1 [1,0,1,49,391298] 2 103350y2 [1,0,1,-79951,8551298] 2
103350z (1 curve)	0	2+ 3- 5- 13+ 53-	2+ 3- 5- -2  4 13+  4 -3
Curve Equation t 103350z1 [1,0,1,974,-40252] 1
103350ba (1 curve)	0	2+ 3- 5- 13+ 53-	2+ 3- 5-  4  6 13+  3 -1
Curve Equation t 103350ba1 [1,0,1,-8076,456298] 1
103350bb (2 curves)	0	2+ 3- 5- 13- 53+	2+ 3- 5- -2  0 13-  4  6
Curve Equation t 103350bb1 [1,0,1,-4271828826,-77017139838452] 2 103350bb2 [1,0,1,-25243348826,1482676745601548] 2
103350bc (1 curve)	0	2- 3+ 5+ 13+ 53+	2- 3+ 5+ -1 -1 13+  0 -3
Curve Equation t 103350bc1 [1,1,1,-57688,5371031] 1
103350bd (4 curves)	2	2- 3+ 5+ 13+ 53+	2- 3+ 5+ -4  0 13+ -2 -4
Curve Equation t Generators 103350bd1 [1,1,1,-3363,73281] 2 [25:62:1]&[-29:398:1] 103350bd2 [1,1,1,-5363,-26719] 4 [-69:178:1]&[-55:352:1] 103350bd3 [1,1,1,21137,-185719] 2 [51:988:1]&[33870:2188511:8] 103350bd4 [1,1,1,-63863,-6227719] 2 [-1202:1099:8]&[-145:172:1]
103350be (1 curve)	1	2- 3+ 5+ 13+ 53-	2- 3+ 5+  0  3 13+  0 -6
Curve Equation t Generators 103350be1 [1,1,1,162,2031] 1 [25:137:1]
103350bf (1 curve)	1	2- 3+ 5+ 13+ 53-	2- 3+ 5+  2  1 13+  1  2
Curve Equation t Generators 103350bf1 [1,1,1,-2438,47531] 1 [39:97:1]
103350bg (1 curve)	1	2- 3+ 5+ 13+ 53-	2- 3+ 5+ -3 -4 13+  6 -8
Curve Equation t Generators 103350bg1 [1,1,1,11130437,-11608961719] 1 [1075:39462:1]
103350bh (2 curves)	1	2- 3+ 5+ 13- 53+	2- 3+ 5+  0  0 13- -4  4
Curve Equation t Generators 103350bh1 [1,1,1,-338,29531] 2 [125:1337:1] 103350bh2 [1,1,1,-16588,809531] 2 [9300:73543:64]
103350bi (1 curve)	1	2- 3+ 5+ 13- 53+	2- 3+ 5+  2  4 13- -4 -3
Curve Equation t Generators 103350bi1 [1,1,1,24362,-5031469] 1 [129:463:1]
103350bj (2 curves)	1	2- 3+ 5+ 13- 53+	2- 3+ 5+  2 -6 13-  6  8
Curve Equation t Generators 103350bj1 [1,1,1,-344563,-75536719] 2 [-349:1710:1] 103350bj2 [1,1,1,-5464563,-4919056719] 2 [-1349:710:1]
103350bk (2 curves)	1	2- 3+ 5+ 13- 53+	2- 3+ 5+  4 -2 13- -2  2
Curve Equation t Generators 103350bk1 [1,1,1,-988,-49219] 2 [85:657:1] 103350bk2 [1,1,1,-26988,-1713219] 2 [215:1467:1]
103350bl (1 curve)	1	2- 3+ 5+ 13- 53+	2- 3+ 5+ -4  6 13- -3 -1
Curve Equation t Generators 103350bl1 [1,1,1,-323,3521] 1 [21:70:1]
103350bm (1 curve)	1	2- 3+ 5- 13+ 53+	2- 3+ 5-  0  4 13+ -2  7
Curve Equation t Generators 103350bm1 [1,1,1,-6013,-231469] 1 [135:1132:1]
103350bn (2 curves)	0	2- 3+ 5- 13+ 53-	2- 3+ 5-  2  0 13+ -4  6
Curve Equation t 103350bn1 [1,1,1,-170873153,-616205467969] 2 103350bn2 [1,1,1,-1009733953,11861010071231] 2
103350bo (2 curves)	2	2- 3+ 5- 13- 53+	2- 3+ 5-  0  0 13- -6 -8
Curve Equation t Generators 103350bo1 [1,1,1,2,3131] 2 [-5:57:1]&[1:55:1] 103350bo2 [1,1,1,-3198,67131] 2 [45:107:1]&[-59:263:1]
103350bp (1 curve)	1	2- 3+ 5- 13- 53-	2- 3+ 5- -2  1 13-  0 -2
Curve Equation t Generators 103350bp1 [1,1,1,-348133,78921131] 1 [-25:9372:1]
103350bq (1 curve)	1	2- 3+ 5- 13- 53-	2- 3+ 5-  3  6 13- -6 -6
Curve Equation t Generators 103350bq1 [1,1,1,-172718,72321131] 1 [-475:7127:1]
103350br (1 curve)	1	2- 3- 5+ 13+ 53+	2- 3- 5+  0 -5 13+  4 -1
Curve Equation t Generators 103350br1 [1,0,0,82,612] 1 [16:70:1]
103350bs (1 curve)	1	2- 3- 5+ 13+ 53+	2- 3- 5+ -5  0 13+ -6  4
Curve Equation t Generators 103350bs1 [1,0,0,-813,13617] 1 [12:-81:1]
103350bt (2 curves)	0	2- 3- 5+ 13+ 53-	2- 3- 5+ -2 -2 13+ -2 -4
Curve Equation t 103350bt1 [1,0,0,-5313,90117] 2 103350bt2 [1,0,0,-36563,-2628633] 2
103350bu (1 curve)	0	2- 3- 5+ 13+ 53-	2- 3- 5+  4 -5 13+ -5  2
Curve Equation t 103350bu1 [1,0,0,-4463538,-3666301308] 1
103350bv (1 curve)	0	2- 3- 5+ 13+ 53-	2- 3- 5+  5  5 13+ -4 -1
Curve Equation t 103350bv1 [1,0,0,-75713,-9182583] 1
103350bw (2 curves)	0	2- 3- 5+ 13- 53+	2- 3- 5+  0 -6 13-  0  6
Curve Equation t 103350bw1 [1,0,0,-121991088,-801679166208] 2 103350bw2 [1,0,0,-2234491088,-40645541666208] 2
103350bx (2 curves)	0	2- 3- 5+ 13- 53+	2- 3- 5+  2  0 13- -8  2
Curve Equation t 103350bx1 [1,0,0,-479238188,5252532718992] 2 103350bx2 [1,0,0,-8291738188,290588470218992] 2
103350by (2 curves)	0	2- 3- 5+ 13- 53+	2- 3- 5+  2  4 13-  2 -2
Curve Equation t 103350by1 [1,0,0,-57648188,-155957281008] 2 103350by2 [1,0,0,60449812,-712789351008] 2
103350bz (2 curves)	0	2- 3- 5+ 13- 53+	2- 3- 5+  4  6 13-  4 -2
Curve Equation t 103350bz1 [1,0,0,-3254074713,71531630295417] 2 103350bz2 [1,0,0,-52082199713,4574900770920417] 2
103350ca (1 curve)	0	2- 3- 5+ 13- 53+	2- 3- 5+ -4 -3 13-  4  2
Curve Equation t 103350ca1 [1,0,0,-124213,-16955083] 1
103350cb (2 curves)	2	2- 3- 5+ 13- 53+	2- 3- 5+ -4 -6 13-  0 -6
Curve Equation t Generators 103350cb1 [1,0,0,792287,241721417] 2 [-238:6419:1]&[-178:9839:1] 103350cb2 [1,0,0,-4327713,2233401417] 2 [-2262:22347:1]&[1872:-27261:1]
103350cc (1 curve)	0	2- 3- 5+ 13- 53+	2- 3- 5+  5  0 13-  6  0
Curve Equation t 103350cc1 [1,0,0,14057242037,182682771314417] 1
103350cd (2 curves)	1	2- 3- 5+ 13- 53-	2- 3- 5+  0  0 13-  0  0
Curve Equation t Generators 103350cd1 [1,0,0,163287,-21740583] 2 [1562:62819:1] 103350cd2 [1,0,0,-876713,-199580583] 2 [-602:10795:1]
103350ce (2 curves)	1	2- 3- 5+ 13- 53-	2- 3- 5+  0  2 13- -2  2
Curve Equation t Generators 103350ce1 [1,0,0,-72488,-7779408] 2 [442:6604:1] 103350ce2 [1,0,0,-1170988,-487823908] 2 [2132:80834:1]
103350cf (2 curves)	1	2- 3- 5+ 13- 53-	2- 3- 5+  0  4 13- -4  4
Curve Equation t Generators 103350cf1 [1,0,0,-671963,278022417] 2 [712:-13031:1] 103350cf2 [1,0,0,-11656963,15316487417] 2 [-1264:168059:1]
103350cg (1 curve)	1	2- 3- 5+ 13- 53-	2- 3- 5+ -2  4 13-  0  1
Curve Equation t Generators 103350cg1 [1,0,0,7,-3543] 1 [16:19:1]
103350ch (1 curve)	0	2- 3- 5- 13+ 53+	2- 3- 5- -1 -2 13+ -6 -2
Curve Equation t 103350ch1 [1,0,0,-257388,-50794608] 1
103350ci (2 curves)	1	2- 3- 5- 13+ 53-	2- 3- 5-  2  0 13+  8  6
Curve Equation t Generators 103350ci1 [1,0,0,-5253,63297] 2 [-18:399:1] 103350ci2 [1,0,0,-70053,7126497] 2 [198:-1113:1]
103350cj (1 curve)	1	2- 3- 5- 13+ 53-	2- 3- 5-  2 -3 13+  0  2
Curve Equation t Generators 103350cj1 [1,0,0,1507,28977] 1 [22:-281:1]
103350ck (2 curves)	1	2- 3- 5- 13- 53+	2- 3- 5- -1 -3 13-  6 -1
Curve Equation t Generators 103350ck1 [1,0,0,-21638,1275492] 3 [88:190:1] 103350ck2 [1,0,0,113362,2965692] 1 [238:-6710:1]

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