Cremona's table of elliptic curves

18270 = 2 · 3² · 5 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
18270a (2 curves)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+ -4  6  2  4
Curve Equation t Generators 18270a1 [1,-1,0,-7845,209825] 2 [-55:715:1] 18270a2 [1,-1,0,-41595,-3077425] 2 [-109:445:1]
18270b (2 curves)	0	2+ 3+ 5+ 7- 29+	2+ 3+ 5+ 7- -3 -4  3 -7
Curve Equation t 18270b1 [1,-1,0,107610,-34554924] 3 18270b2 [1,-1,0,-5690805,-5231161675] 1
18270c (4 curves)	1	2+ 3+ 5+ 7- 29-	2+ 3+ 5+ 7-  0  2 -6 -4
Curve Equation t Generators 18270c1 [1,-1,0,-10680,427500] 6 [6:600:1] 18270c2 [1,-1,0,-10830,414990] 6 [147:16040:27] 18270c3 [1,-1,0,-14595,89621] 2 [-98:805:1] 18270c4 [1,-1,0,-149595,-22131379] 2 [-223:430:1]
18270d (1 curve)	0	2+ 3+ 5- 7+ 29+	2+ 3+ 5- 7+ -1  4  3 -5
Curve Equation t 18270d1 [1,-1,0,336,-640] 1
18270e (2 curves)	0	2+ 3+ 5- 7+ 29+	2+ 3+ 5- 7+  4  2 -2 -4
Curve Equation t 18270e1 [1,-1,0,-1554,18260] 2 18270e2 [1,-1,0,-23154,1361780] 2
18270f (2 curves)	0	2+ 3+ 5- 7+ 29+	2+ 3+ 5- 7+  4  2  4  2
Curve Equation t 18270f1 [1,-1,0,-43944,-3507392] 2 18270f2 [1,-1,0,-13224,-8342720] 2
18270g (1 curve)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+  3  4 -7  7
Curve Equation t Generators 18270g1 [1,-1,0,-17619,917333] 1 [97:289:1]
18270h (2 curves)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+ -4 -2 -2  0
Curve Equation t Generators 18270h1 [1,-1,0,-474,18368] 2 [17:114:1] 18270h2 [1,-1,0,-13704,619010] 2 [31:457:1]
18270i (1 curve)	1	2+ 3+ 5- 7- 29+	2+ 3+ 5- 7- -3  0 -3 -1
Curve Equation t Generators 18270i1 [1,-1,0,-99,695] 1 [19:64:1]
18270j (2 curves)	1	2+ 3+ 5- 7- 29+	2+ 3+ 5- 7- -4  4  0 -4
Curve Equation t Generators 18270j1 [1,-1,0,-309,2165] 2 [-14:67:1] 18270j2 [1,-1,0,-189,3773] 2 [7:49:1]
18270k (4 curves)	0	2+ 3+ 5- 7- 29-	2+ 3+ 5- 7-  0  2 -6 -4
Curve Equation t 18270k1 [1,-1,0,-63022839,187210740573] 6 18270k2 [1,-1,0,-1000522839,12181398240573] 6 18270k3 [1,-1,0,-695132214,-6990356775052] 2 18270k4 [1,-1,0,-1248092214,5696646872948] 2
18270l (1 curve)	0	2+ 3- 5+ 7+ 29+	2+ 3- 5+ 7+  1 -5  0 -7
Curve Equation t 18270l1 [1,-1,0,1015695,384695325] 1
18270m (6 curves)	0	2+ 3- 5+ 7+ 29+	2+ 3- 5+ 7+  4 -2  6 -4
Curve Equation t 18270m1 [1,-1,0,-10575,-656019] 2 18270m2 [1,-1,0,-194895,-33059475] 4 18270m3 [1,-1,0,-3118095,-2118470355] 2 18270m4 [1,-1,0,-220815,-23681619] 4 18270m5 [1,-1,0,-1543815,721696581] 2 18270m6 [1,-1,0,687465,-169188075] 2
18270n (2 curves)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+  0 -4  2 -2
Curve Equation t Generators 18270n1 [1,-1,0,-59445,-5361035] 2 [482:8579:1] 18270n2 [1,-1,0,28035,-19865219] 2 [1143:38216:1]
18270o (1 curve)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+ -3 -1  2 -5
Curve Equation t Generators 18270o1 [1,-1,0,135,-2219] 1 [23:101:1]
18270p (2 curves)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+  4  4 -4  0
Curve Equation t Generators 18270p1 [1,-1,0,-5535,-157059] 2 [102:525:1] 18270p2 [1,-1,0,-4635,-210519] 2 [150:1491:1]
18270q (4 curves)	1	2+ 3- 5+ 7- 29+	2+ 3- 5+ 7-  4  2 -2 -8
Curve Equation t Generators 18270q1 [1,-1,0,-1440,-20304] 2 [-20:24:1] 18270q2 [1,-1,0,-3060,35100] 4 [-30:330:1] 18270q3 [1,-1,0,-42210,3347190] 2 [133:203:1] 18270q4 [1,-1,0,10170,249426] 2 [33:771:1]
18270r (1 curve)	1	2+ 3- 5+ 7- 29+	2+ 3- 5+ 7-  5  1  4 -1
Curve Equation t Generators 18270r1 [1,-1,0,11475,-16475] 1 [5:200:1]
18270s (4 curves)	0	2+ 3- 5+ 7- 29-	2+ 3- 5+ 7-  0  2  0  2
Curve Equation t 18270s1 [1,-1,0,14940,372816] 2 18270s2 [1,-1,0,-68580,3229200] 2 18270s3 [1,-1,0,-291060,61641216] 6 18270s4 [1,-1,0,-4681080,3899396700] 6
18270t (1 curve)	0	2+ 3- 5+ 7- 29-	2+ 3- 5+ 7-  5 -7  6  1
Curve Equation t 18270t1 [1,-1,0,-92520,-11047104] 1
18270u (2 curves)	1	2+ 3- 5- 7+ 29+	2+ 3- 5- 7+ -4  4  6 -6
Curve Equation t Generators 18270u1 [1,-1,0,-1044,7888] 2 [-1:95:1] 18270u2 [1,-1,0,3276,53680] 2 [21:352:1]
18270v (4 curves)	1	2+ 3- 5- 7+ 29+	2+ 3- 5- 7+ -4 -6  2  4
Curve Equation t Generators 18270v1 [1,-1,0,200286,-90835052] 2 [372:5734:1] 18270v2 [1,-1,0,-2221794,-1133782700] 4 [-1044:7382:1] 18270v3 [1,-1,0,-34450074,-77817752132] 2 [-3393:2684:1] 18270v4 [1,-1,0,-8746794,8772472300] 2 [2351:33452:1]
18270w (1 curve)	0	2+ 3- 5- 7+ 29-	2+ 3- 5- 7+  5  2  3  5
Curve Equation t 18270w1 [1,-1,0,-6545484,6447579088] 1
18270x (1 curve)	0	2+ 3- 5- 7- 29+	2+ 3- 5- 7- -3  5  2  7
Curve Equation t 18270x1 [1,-1,0,-46484109,-121973488385] 1
18270y (2 curves)	1	2+ 3- 5- 7- 29-	2+ 3- 5- 7- -3  5  0  5
Curve Equation t Generators 18270y1 [1,-1,0,-16119,-783675] 1 [1518:13011:8] 18270y2 [1,-1,0,-11529,-1242297] 3 [147:399:1]
18270z (1 curve)	0	2- 3+ 5+ 7+ 29+	2- 3+ 5+ 7+ -3  4  7  7
Curve Equation t 18270z1 [1,-1,1,-1958,-33323] 1
18270ba (2 curves)	0	2- 3+ 5+ 7+ 29+	2- 3+ 5+ 7+  4 -2  2  0
Curve Equation t 18270ba1 [1,-1,1,-53,-663] 2 18270ba2 [1,-1,1,-1523,-22419] 2
18270bb (1 curve)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+  1  4 -3 -5
Curve Equation t Generators 18270bb1 [1,-1,1,37,11] 1 [3:10:1]
18270bc (2 curves)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+ -4  2  2 -4
Curve Equation t Generators 18270bc1 [1,-1,1,-173,-619] 2 [-9:16:1] 18270bc2 [1,-1,1,-2573,-49579] 2 [-29:16:1]
18270bd (2 curves)	1	2- 3+ 5+ 7+ 29-	2- 3+ 5+ 7+ -4  2 -4  2
Curve Equation t Generators 18270bd1 [1,-1,1,-395498,95095081] 2 [-527:12791:1] 18270bd2 [1,-1,1,-119018,225372457] 2 [233:14383:1]
18270be (4 curves)	1	2- 3+ 5+ 7- 29+	2- 3+ 5+ 7-  0  2  6 -4
Curve Equation t Generators 18270be1 [1,-1,1,-77236913,258927848417] 6 [-7233:666292:1] 18270be2 [1,-1,1,-138676913,-210940695583] 6 [69615:18062236:1] 18270be3 [1,-1,1,-567205553,-5054122789919] 2 [-1715005:-46768292:125] 18270be4 [1,-1,1,-9004705553,-328888747789919] 2 [-2247964890045:1081507663372:41063625]
18270bf (1 curve)	0	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7-  3  0  3 -1
Curve Equation t 18270bf1 [1,-1,1,-893,-17873] 1
18270bg (2 curves)	0	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7-  4  4  0 -4
Curve Equation t 18270bg1 [1,-1,1,-2783,-55673] 2 18270bg2 [1,-1,1,-1703,-100169] 2
18270bh (2 curves)	0	2- 3+ 5- 7+ 29-	2- 3+ 5- 7+  4  6 -2  4
Curve Equation t 18270bh1 [1,-1,1,-872,-7481] 2 18270bh2 [1,-1,1,-4622,115519] 2
18270bi (4 curves)	0	2- 3+ 5- 7- 29+	2- 3+ 5- 7-  0  2  6 -4
Curve Equation t 18270bi1 [1,-1,1,-1622,-2779] 6 18270bi2 [1,-1,1,-16622,825221] 6 18270bi3 [1,-1,1,-96122,-11446379] 2 18270bi4 [1,-1,1,-97472,-11107259] 2
18270bj (2 curves)	1	2- 3+ 5- 7- 29-	2- 3+ 5- 7-  3 -4 -3 -7
Curve Equation t Generators 18270bj1 [1,-1,1,-632312,193957499] 3 [-531:19753:1] 18270bj2 [1,-1,1,968488,932014459] 1 [-161:27863:1]
18270bk (4 curves)	1	2- 3- 5+ 7+ 29+	2- 3- 5+ 7+  0 -2 -2  4
Curve Equation t Generators 18270bk1 [1,-1,1,142,-143] 2 [5:23:1] 18270bk2 [1,-1,1,-578,-719] 4 [-17:71:1] 18270bk3 [1,-1,1,-6878,-217439] 2 [-47:41:1] 18270bk4 [1,-1,1,-5798,170497] 2 [53:73:1]
18270bl (2 curves)	1	2- 3- 5+ 7+ 29+	2- 3- 5+ 7+  4  4 -4  0
Curve Equation t Generators 18270bl1 [1,-1,1,-788,3831] 2 [-19:117:1] 18270bl2 [1,-1,1,2812,26871] 2 [11:237:1]
18270bm (1 curve)	0	2- 3- 5+ 7+ 29-	2- 3- 5+ 7+ -1 -1 -4 -7
Curve Equation t 18270bm1 [1,-1,1,-1328,-25819] 1
18270bn (4 curves)	0	2- 3- 5+ 7+ 29-	2- 3- 5+ 7+  4 -2 -6  4
Curve Equation t 18270bn1 [1,-1,1,-1328,-15613] 2 18270bn2 [1,-1,1,-5828,157187] 4 18270bn3 [1,-1,1,-90878,10567307] 2 18270bn4 [1,-1,1,7222,752267] 2
18270bo (2 curves)	0	2- 3- 5+ 7+ 29-	2- 3- 5+ 7+  4  4  6 -2
Curve Equation t 18270bo1 [1,-1,1,-1009339223,12338114097647] 2 18270bo2 [1,-1,1,-850086743,16362551669231] 2
18270bp (2 curves)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7-  0  0 -4 -4
Curve Equation t Generators 18270bp1 [1,-1,1,-67883,-5150469] 2 [-109:1026:1] 18270bp2 [1,-1,1,162517,-32706309] 2 [323:7146:1]
18270bq (1 curve)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7-  3 -3 -4 -1
Curve Equation t Generators 18270bq1 [1,-1,1,-5828,356487] 1 [-7:633:1]
18270br (2 curves)	1	2- 3- 5+ 7- 29-	2- 3- 5+ 7- -3  2 -3 -7
Curve Equation t Generators 18270br1 [1,-1,1,-68,-1519] 1 [126:203:8] 18270br2 [1,-1,1,607,40601] 3 [-27:76:1]
18270bs (2 curves)	0	2- 3- 5- 7+ 29+	2- 3- 5- 7+  0  0  2  6
Curve Equation t 18270bs1 [1,-1,1,-33287,-2329189] 2 18270bs2 [1,-1,1,-33017,-2369041] 2
18270bt (1 curve)	0	2- 3- 5- 7+ 29+	2- 3- 5- 7+ -1  3 -4 -5
Curve Equation t 18270bt1 [1,-1,1,-4778132,4467365439] 1
18270bu (1 curve)	0	2- 3- 5- 7+ 29+	2- 3- 5- 7+ -1  6 -1  7
Curve Equation t 18270bu1 [1,-1,1,-7817,-282999] 1
18270bv (4 curves)	1	2- 3- 5- 7+ 29-	2- 3- 5- 7+ -4  2  6 -4
Curve Equation t Generators 18270bv1 [1,-1,1,-3047,64671] 4 [-61:174:1] 18270bv2 [1,-1,1,-5927,-74721] 4 [-43:336:1] 18270bv3 [1,-1,1,-79007,-8522769] 2 [-159:104:1] 18270bv4 [1,-1,1,21073,-582321] 2 [137:2136:1]
18270bw (4 curves)	1	2- 3- 5- 7+ 29-	2- 3- 5- 7+ -4  6 -6  4
Curve Equation t Generators 18270bw1 [1,-1,1,130693,-10219669] 4 [81:904:1] 18270bw2 [1,-1,1,-606587,-87191701] 4 [-453:9946:1] 18270bw3 [1,-1,1,-8227067,-9076309909] 2 [-1649:2854:1] 18270bw4 [1,-1,1,-4782587,3966869099] 2 [1987:47026:1]
18270bx (4 curves)	1	2- 3- 5- 7- 29+	2- 3- 5- 7-  0 -4 -6  2
Curve Equation t Generators 18270bx1 [1,-1,1,-1002272,365673791] 2 [513315:7771397:1331] 18270bx2 [1,-1,1,769198,1517837879] 2 [-48972:1427779:64] 18270bx3 [1,-1,1,-79963907,275245775939] 6 [3627:179626:1] 18270bx4 [1,-1,1,-79954187,275316028211] 6 [-9039:513874:1]
18270by (2 curves)	1	2- 3- 5- 7- 29+	2- 3- 5- 7- -3  2 -3 -1
Curve Equation t Generators 18270by1 [1,-1,1,-91382,-11627611] 1 [477:7051:1] 18270by2 [1,-1,1,578083,19491941] 3 [-9:3784:1]
18270bz (1 curve)	1	2- 3- 5- 7- 29+	2- 3- 5- 7- -5  1  4 -3
Curve Equation t Generators 18270bz1 [1,-1,1,1318,-114919] 1 [81:679:1]
18270ca (4 curves)	0	2- 3- 5- 7- 29-	2- 3- 5- 7-  0 -4  0 -4
Curve Equation t 18270ca1 [1,-1,1,-50297,-4329079] 2 18270ca2 [1,-1,1,-49397,-4492159] 2 18270ca3 [1,-1,1,-72032,-216061] 6 18270ca4 [1,-1,1,287968,-1944061] 6

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