Cremona's table of elliptic curves

18450 = 2 · 3² · 5² · 41

Class	r	Atkin-Lehner	Eigenvalues
18450a (2 curves)	1	2+ 3+ 5+ 41+	2+ 3+ 5+  1  0  4  6 -1
Curve Equation t Generators 18450a1 [1,-1,0,-1542,56116] 1 [29:173:1] 18450a2 [1,-1,0,13458,-1268884] 1 [229:3598:1]
18450b (1 curve)	1	2+ 3+ 5+ 41+	2+ 3+ 5+ -4 -3  2 -1 -6
Curve Equation t Generators 18450b1 [1,-1,0,108,-304] 1 [8:28:1]
18450c (1 curve)	1	2+ 3+ 5+ 41+	2+ 3+ 5+  5  0 -4  2 -3
Curve Equation t Generators 18450c1 [1,-1,0,-62442,-7175284] 1 [14779:1788973:1]
18450d (1 curve)	0	2+ 3+ 5+ 41-	2+ 3+ 5+ -1 -4  0  6  7
Curve Equation t 18450d1 [1,-1,0,-4828317,4084794341] 1
18450e (1 curve)	0	2+ 3+ 5+ 41-	2+ 3+ 5+  4 -4  5  1 -3
Curve Equation t 18450e1 [1,-1,0,183,-659] 1
18450f (1 curve)	1	2+ 3+ 5- 41-	2+ 3+ 5-  4  3 -2 -1 -6
Curve Equation t Generators 18450f1 [1,-1,0,24258,928916] 1 [140:2586:1]
18450g (4 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  0  4 -2 -6  0
Curve Equation t 18450g1 [1,-1,0,-1917,-259259] 2 18450g2 [1,-1,0,-73917,-7675259] 4 18450g3 [1,-1,0,-1180917,-493648259] 2 18450g4 [1,-1,0,-118917,2809741] 2
18450h (1 curve)	0	2+ 3- 5+ 41+	2+ 3- 5+  2 -2 -1  5 -1
Curve Equation t 18450h1 [1,-1,0,-9342,359316] 1
18450i (2 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  2 -2  2 -4  2
Curve Equation t 18450i1 [1,-1,0,-34317,725841] 2 18450i2 [1,-1,0,-315567,-67617909] 2
18450j (2 curves)	0	2+ 3- 5+ 41+	2+ 3- 5+  2  6  2  8 -6
Curve Equation t 18450j1 [1,-1,0,-3192,-54784] 2 18450j2 [1,-1,0,-48192,-4059784] 2
18450k (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+  1 -6  4  0  5
Curve Equation t Generators 18450k1 [1,-1,0,27333,-49795259] 1 [509:9533:1] 18450k2 [1,-1,0,-246042,1345784116] 1 [-1021:23573:1]
18450l (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+  2  0  4 -6 -4
Curve Equation t Generators 18450l1 [1,-1,0,-11817,162841] 2 [-111:368:1] 18450l2 [1,-1,0,44433,1231591] 2 [-21:548:1]
18450m (1 curve)	1	2+ 3- 5+ 41-	2+ 3- 5+  2  3 -2  3  2
Curve Equation t Generators 18450m1 [1,-1,0,-15862617,-24318725459] 1 [236659311224785350:27509812847135949013:15978254214203]
18450n (4 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2  0  4  0  8
Curve Equation t Generators 18450n1 [1,-1,0,-37692,-2758784] 2 [-100:104:1] 18450n2 [1,-1,0,-600192,-178821284] 2 [20309:2881883:1] 18450n3 [1,-1,0,-347067,77594341] 2 [-202:11909:1] 18450n4 [1,-1,0,-707067,-110685659] 2 [-327:9409:1]
18450o (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2  4  4 -2 -8
Curve Equation t Generators 18450o1 [1,-1,0,-14967,-697059] 2 [-71:98:1] 18450o2 [1,-1,0,-5967,-1534059] 2 [289:4418:1]
18450p (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2 -4 -4 -2  0
Curve Equation t Generators 18450p1 [1,-1,0,-102126717,397269359941] 2 [5829:-2152:1] 18450p2 [1,-1,0,-101982717,398445407941] 2 [11589:873368:1]
18450q (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+ -2  6  1  3  5
Curve Equation t Generators 18450q1 [1,-1,0,-342,-7934] 1 [35:131:1] 18450q2 [1,-1,0,3033,197941] 1 [-37:203:1]
18450r (2 curves)	1	2+ 3- 5+ 41-	2+ 3- 5+  4  2 -4 -2  6
Curve Equation t Generators 18450r1 [1,-1,0,-342,-1184] 2 [-6:28:1] 18450r2 [1,-1,0,-2592,50566] 2 [39:68:1]
18450s (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5-  0  0 -6  0 -6
Curve Equation t Generators 18450s1 [1,-1,0,53343,-7552899] 2 [16755:2160564:1] 18450s2 [1,-1,0,-407457,-80820099] 2 [-231:1083:1]
18450t (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5-  1  2 -1 -4 -6
Curve Equation t Generators 18450t1 [1,-1,0,-4617,608791] 1 [-25:854:1]
18450u (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5-  1  4 -3  6 -2
Curve Equation t Generators 18450u1 [1,-1,0,964008,-180667584] 1 [173816983707:7208318562162:184220009]
18450v (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5- -1  4  2  8  1
Curve Equation t Generators 18450v1 [1,-1,0,-18612,-992304] 1 [489:10083:1]
18450w (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5- -3 -2 -1  0 -6
Curve Equation t Generators 18450w1 [1,-1,0,-7092,-231984] 1 [675:17046:1]
18450x (2 curves)	1	2+ 3- 5- 41+	2+ 3- 5- -4  4  2 -4 -2
Curve Equation t Generators 18450x1 [1,-1,0,2133,13041] 2 [3:138:1] 18450x2 [1,-1,0,-9117,114291] 2 [-81:603:1]
18450y (1 curve)	1	2+ 3- 5- 41+	2+ 3- 5- -5 -6  1  4  6
Curve Equation t Generators 18450y1 [1,-1,0,-492,15416] 1 [19:103:1]
18450z (1 curve)	0	2+ 3- 5- 41-	2+ 3- 5-  1  0  2  0 -5
Curve Equation t 18450z1 [1,-1,0,4383,-23459] 1
18450ba (1 curve)	2	2+ 3- 5- 41-	2+ 3- 5- -2 -1 -6 -7  2
Curve Equation t Generators 18450ba1 [1,-1,0,-342,2916] 1 [-21:33:1]&[24:-102:1]
18450bb (1 curve)	0	2- 3+ 5+ 41+	2- 3+ 5+ -1  4  0 -6  7
Curve Equation t 18450bb1 [1,-1,1,-536480,-151109853] 1
18450bc (1 curve)	0	2- 3+ 5+ 41+	2- 3+ 5+  4  4  5 -1 -3
Curve Equation t 18450bc1 [1,-1,1,1645,16147] 1
18450bd (2 curves)	1	2- 3+ 5+ 41-	2- 3+ 5+  1  0  4 -6 -1
Curve Equation t Generators 18450bd1 [1,-1,1,1495,46497] 1 [209:2970:1] 18450bd2 [1,-1,1,-13880,-1501253] 1 [229:2585:1]
18450be (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+ -4  3  2  1 -6
Curve Equation t Generators 18450be1 [1,-1,1,970,7237] 1 [25:203:1]
18450bf (1 curve)	1	2- 3+ 5+ 41-	2- 3+ 5+  5  0 -4 -2 -3
Curve Equation t Generators 18450bf1 [1,-1,1,-561980,194294647] 1 [16459:2101145:1]
18450bg (1 curve)	1	2- 3+ 5- 41+	2- 3+ 5-  4 -3 -2  1 -6
Curve Equation t Generators 18450bg1 [1,-1,1,2695,-35303] 1 [19:140:1]
18450bh (8 curves)	1	2- 3- 5+ 41+	2- 3- 5+  0 -4  2  2 -4
Curve Equation t Generators 18450bh1 [1,-1,1,-1100255,-443485753] 2 [-611:930:1] 18450bh2 [1,-1,1,-1388255,-192925753] 4 [-741:21070:1] 18450bh3 [1,-1,1,-12638255,17154574247] 4 [5509:335920:1] 18450bh4 [1,-1,1,5253745,-1508041753] 2 [1473:96346:1] 18450bh5 [1,-1,1,-201750755,1103038549247] 4 [690747321819:652759300988:83453453] 18450bh6 [1,-1,1,-3525755,41375599247] 2 [34323481:2630667280:6859] 18450bh7 [1,-1,1,-3228012005,70592049371747] 2 [113392928470368408534:-56443379066023481707:3456786898454408] 18450bh8 [1,-1,1,-201289505,1108332776747] 2 [2317712721744730198344:61937124369018770836163:326672781477360128]
18450bi (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+ -1  2  1  4 -6
Curve Equation t Generators 18450bi1 [1,-1,1,-185,4907] 1 [30:503:8]
18450bj (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+ -1  4  3 -6 -2
Curve Equation t Generators 18450bj1 [1,-1,1,38560,-1453053] 1 [125:2241:1]
18450bk (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  2  2 -2  4 -6
Curve Equation t Generators 18450bk1 [1,-1,1,-13730,-363103] 2 [-71:535:1] 18450bk2 [1,-1,1,-193730,-32763103] 2 [-251:175:1]
18450bl (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  2 -2  1 -7  5
Curve Equation t Generators 18450bl1 [1,-1,1,-39380,93944247] 1 [293:10221:1] 18450bl2 [1,-1,1,-130395380,573147128247] 1 [6593:-3279:1]
18450bm (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  2 -2  6 -6 -2
Curve Equation t Generators 18450bm1 [1,-1,1,-3605,-3603] 2 [-21:260:1] 18450bm2 [1,-1,1,14395,-39603] 2 [95:1428:1]
18450bn (2 curves)	1	2- 3- 5+ 41+	2- 3- 5+  2 -2 -6  0 -2
Curve Equation t Generators 18450bn1 [1,-1,1,-11858855,-15091142853] 2 [-8810852141707720611:-11413105153160404080:3832375872278771] 18450bn2 [1,-1,1,-187640105,-989270830353] 2 [-83360625372687451400531797945746:37228738374069198773623734341955:10529565810990459202001966536]
18450bo (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+  3 -2  1  0 -6
Curve Equation t Generators 18450bo1 [1,-1,1,-177305,-29175303] 1 [503:2700:1]
18450bp (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+ -3  2 -4 -4  5
Curve Equation t Generators 18450bp1 [1,-1,1,-5,-51253] 1 [822:7685:8]
18450bq (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+ -3 -2  4  0  3
Curve Equation t Generators 18450bq1 [1,-1,1,-4730,126897] 1 [59:195:1]
18450br (4 curves)	1	2- 3- 5+ 41+	2- 3- 5+ -4  0  2  2  0
Curve Equation t Generators 18450br1 [1,-1,1,-312005,63687997] 2 [-1:8000:1] 18450br2 [1,-1,1,-4920005,4201671997] 4 [1129:8660:1] 18450br3 [1,-1,1,-78720005,268848471997] 2 [5125:-2284:1] 18450br4 [1,-1,1,-4848005,4330551997] 2 [1225:14516:1]
18450bs (4 curves)	1	2- 3- 5+ 41+	2- 3- 5+ -4  4 -2  2 -4
Curve Equation t Generators 18450bs1 [1,-1,1,-2030,-32403] 2 [-21:35:1] 18450bs2 [1,-1,1,-6530,165597] 4 [69:165:1] 18450bs3 [1,-1,1,-98780,11973597] 2 [7294:204843:8] 18450bs4 [1,-1,1,13720,975597] 2 [-258:5775:8]
18450bt (1 curve)	1	2- 3- 5+ 41+	2- 3- 5+  5 -6 -1 -4  6
Curve Equation t Generators 18450bt1 [1,-1,1,-20,127] 1 [-5:11:1]
18450bu (2 curves)	0	2- 3- 5+ 41-	2- 3- 5+ -1  2  0  4 -1
Curve Equation t 18450bu1 [1,-1,1,518620,54434247] 1 18450bu2 [1,-1,1,-270460130,1712064629247] 1
18450bv (1 curve)	0	2- 3- 5+ 41-	2- 3- 5+  2 -1  6  7  2
Curve Equation t 18450bv1 [1,-1,1,-8555,355947] 1
18450bw (1 curve)	0	2- 3- 5+ 41-	2- 3- 5+ -2 -2  7  7  7
Curve Equation t 18450bw1 [1,-1,1,-60755,5780747] 1
18450bx (4 curves)	0	2- 3- 5+ 41-	2- 3- 5+  4  6  4  0  2
Curve Equation t 18450bx1 [1,-1,1,-116105,-12266103] 2 18450bx2 [1,-1,1,243895,-73466103] 2 18450bx3 [1,-1,1,-2870105,1871145897] 2 18450bx4 [1,-1,1,-2307605,2626020897] 2
18450by (2 curves)	0	2- 3- 5- 41+	2- 3- 5-  0  0  6  0 -6
Curve Equation t 18450by1 [1,-1,1,1333570,-942778803] 2 18450by2 [1,-1,1,-10186430,-10112698803] 2
18450bz (1 curve)	0	2- 3- 5- 41+	2- 3- 5-  1  4 -2 -8  1
Curve Equation t 18450bz1 [1,-1,1,-465305,-124503303] 1
18450ca (2 curves)	0	2- 3- 5- 41+	2- 3- 5-  4  4 -2  4 -2
Curve Equation t 18450ca1 [1,-1,1,85,87] 2 18450ca2 [1,-1,1,-365,987] 2
18450cb (1 curve)	1	2- 3- 5- 41-	2- 3- 5- -1  0 -2  0 -5
Curve Equation t Generators 18450cb1 [1,-1,1,175,-223] 1 [9:40:1]
18450cc (1 curve)	1	2- 3- 5- 41-	2- 3- 5- -2  3  2 -3  2
Curve Equation t Generators 18450cc1 [1,-1,1,-634505,-194422903] 1 [1779:64720:1]

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