Cremona's table of elliptic curves

40194 = 2 · 3² · 7 · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
40194a (2 curves)	0	2+ 3+ 7+ 11+ 29-	2+ 3+  2 7+ 11+  4 -2 -2
Curve Equation t 40194a1 [1,-1,0,-1387716,629561680] 2 40194a2 [1,-1,0,-1380036,636868432] 2
40194b (2 curves)	0	2+ 3+ 7+ 11- 29+	2+ 3+  4 7+ 11- -2  2  4
Curve Equation t 40194b1 [1,-1,0,1470,-5932] 2 40194b2 [1,-1,0,-6090,-43732] 2
40194c (1 curve)	2	2+ 3+ 7- 11+ 29+	2+ 3+ -1 7- 11+ -5 -5  0
Curve Equation t Generators 40194c1 [1,-1,0,-1230,16964] 1 [-8:166:1]&[19:-23:1]
40194d (2 curves)	0	2+ 3+ 7- 11+ 29+	2+ 3+  2 7- 11+  4  4  0
Curve Equation t 40194d1 [1,-1,0,-1671531,-831383803] 2 40194d2 [1,-1,0,-1667211,-835898203] 2
40194e (2 curves)	1	2+ 3+ 7- 11+ 29-	2+ 3+  2 7- 11+ -2 -2 -2
Curve Equation t Generators 40194e1 [1,-1,0,-306,2180] 2 [8:-18:1] 40194e2 [1,-1,0,-4926,134312] 2 [19:208:1]
40194f (2 curves)	1	2+ 3+ 7- 11+ 29-	2+ 3+  2 7- 11+  4 -2 -2
Curve Equation t Generators 40194f1 [1,-1,0,-1388226,-629214880] 2 [2345:93730:1] 40194f2 [1,-1,0,-1388196,-629243458] 2 [1919:60448:1]
40194g (2 curves)	1	2+ 3+ 7- 11+ 29-	2+ 3+ -3 7- 11+ -1  3  8
Curve Equation t Generators 40194g1 [1,-1,0,-897981,327752901] 3 [2026:81579:1] 40194g2 [1,-1,0,-886236,336734288] 1 [152:14260:1]
40194h (1 curve)	2	2+ 3+ 7- 11- 29-	2+ 3+ -3 7- 11- -5 -3 -4
Curve Equation t Generators 40194h1 [1,-1,0,429,8501] 1 [22:157:1]&[-10:61:1]
40194i (2 curves)	0	2+ 3- 7+ 11+ 29+	2+ 3-  0 7+ 11+ -4  4  0
Curve Equation t 40194i1 [1,-1,0,128403,-5465691] 2 40194i2 [1,-1,0,-539757,-44352603] 2
40194j (4 curves)	0	2+ 3- 7+ 11+ 29+	2+ 3- -2 7+ 11+  6 -6  8
Curve Equation t 40194j1 [1,-1,0,66177,2290189] 2 40194j2 [1,-1,0,-282303,19086925] 4 40194j3 [1,-1,0,-2527623,-1532429195] 2 40194j4 [1,-1,0,-3612663,2641412389] 2
40194k (2 curves)	1	2+ 3- 7+ 11+ 29-	2+ 3-  2 7+ 11+ -2  4  4
Curve Equation t Generators 40194k1 [1,-1,0,-306,13972] 2 [-19:122:1] 40194k2 [1,-1,0,-10746,429484] 2 [-85:893:1]
40194l (2 curves)	1	2+ 3- 7+ 11- 29+	2+ 3- -2 7+ 11-  2  0  8
Curve Equation t Generators 40194l1 [1,-1,0,-67698,6758100] 2 [141:-39:1] 40194l2 [1,-1,0,-1081458,433145556] 2 [579:624:1]
40194m (4 curves)	1	2+ 3- 7+ 11- 29+	2+ 3- -2 7+ 11-  2 -6 -4
Curve Equation t Generators 40194m1 [1,-1,0,2772,-1143936] 2 [105:492:1] 40194m2 [1,-1,0,-148608,-21398580] 4 [-249:471:1] 40194m3 [1,-1,0,-360018,53313714] 2 [909:-22284:1] 40194m4 [1,-1,0,-2359278,-1394224650] 2 [-887:471:1]
40194n (4 curves)	1	2+ 3- 7+ 11- 29+	2+ 3- -2 7+ 11- -2 -2  4
Curve Equation t Generators 40194n1 [1,-1,0,-124398,16918740] 2 [205:-75:1] 40194n2 [1,-1,0,-125118,16713540] 4 [-168:5826:1] 40194n3 [1,-1,0,15822,52145856] 2 [639:-18288:1] 40194n4 [1,-1,0,-277578,-31860216] 2 [-245:4748:1]
40194o (2 curves)	2	2+ 3- 7+ 11- 29-	2+ 3-  0 7+ 11- -4  2 -8
Curve Equation t Generators 40194o1 [1,-1,0,-24732,1503004] 2 [-169:998:1]&[5:1172:1] 40194o2 [1,-1,0,-27342,1168402] 2 [-171:992:1]&[-1:1094:1]
40194p (2 curves)	0	2+ 3- 7+ 11- 29-	2+ 3-  2 7+ 11-  2  4 -6
Curve Equation t 40194p1 [1,-1,0,-2479806,1503668884] 2 40194p2 [1,-1,0,-2440926,1553069812] 2
40194q (1 curve)	2	2+ 3- 7+ 11- 29-	2+ 3- -3 7+ 11- -1 -7 -2
Curve Equation t Generators 40194q1 [1,-1,0,2169,-34259] 1 [26:185:1]&[17:77:1]
40194r (2 curves)	1	2+ 3- 7- 11+ 29+	2+ 3- -2 7- 11+ -6  0  0
Curve Equation t Generators 40194r1 [1,-1,0,-378,-140] 2 [-13:56:1] 40194r2 [1,-1,0,-4338,-108644] 2 [-37:32:1]
40194s (2 curves)	0	2+ 3- 7- 11+ 29-	2+ 3-  2 7- 11+ -2 -4 -4
Curve Equation t 40194s1 [1,-1,0,20439,-1633203] 2 40194s2 [1,-1,0,-146601,-16967475] 2
40194t (4 curves)	0	2+ 3- 7- 11- 29+	2+ 3-  2 7- 11-  2 -2 -8
Curve Equation t 40194t1 [1,-1,0,-4536,108864] 2 40194t2 [1,-1,0,-16056,-658368] 4 40194t3 [1,-1,0,29304,-3733776] 2 40194t4 [1,-1,0,-245736,-46824048] 2
40194u (4 curves)	0	2+ 3- 7- 11- 29+	2+ 3- -2 7- 11- -2 -2  4
Curve Equation t 40194u1 [1,-1,0,-442233,-265925651] 2 40194u2 [1,-1,0,-9473913,-11210515475] 4 40194u3 [1,-1,0,-11913273,-4986732371] 2 40194u4 [1,-1,0,-151541433,-717996427475] 2
40194v (4 curves)	0	2+ 3- 7- 11- 29+	2+ 3- -2 7- 11-  6 -2  4
Curve Equation t 40194v1 [1,-1,0,110502702,-1199978155436] 2 40194v2 [1,-1,0,-1244813778,-15080858480300] 4 40194v3 [1,-1,0,-4860555138,114570225761764] 2 40194v4 [1,-1,0,-19314136098,-1033124547311420] 2
40194w (2 curves)	1	2+ 3- 7- 11- 29-	2+ 3-  0 7- 11- -2  0  2
Curve Equation t Generators 40194w1 [1,-1,0,48,35072] 2 [49:367:1] 40194w2 [1,-1,0,-15792,754208] 2 [43:370:1]
40194x (2 curves)	1	2+ 3- 7- 11- 29-	2+ 3-  0 7- 11-  4  2  0
Curve Equation t Generators 40194x1 [1,-1,0,-3087,-44051] 2 [-34:161:1] 40194x2 [1,-1,0,-44847,-3643763] 2 [-121:74:1]
40194y (2 curves)	1	2+ 3- 7- 11- 29-	2+ 3-  0 7- 11- -4 -6 -4
Curve Equation t Generators 40194y1 [1,-1,0,-477,-2511] 2 [-9:36:1] 40194y2 [1,-1,0,-3087,64827] 2 [-21:357:1]
40194z (2 curves)	1	2- 3+ 7+ 11+ 29-	2- 3+ -4 7+ 11+ -2 -2  4
Curve Equation t Generators 40194z1 [1,-1,1,163,165] 2 [5:-36:1] 40194z2 [1,-1,1,-677,1845] 2 [-19:96:1]
40194ba (2 curves)	1	2- 3+ 7+ 11- 29+	2- 3+ -2 7+ 11-  4  2 -2
Curve Equation t Generators 40194ba1 [1,-1,1,-12489446,-16985675915] 2 [-55059:26095:27] 40194ba2 [1,-1,1,-12420326,-17183027339] 2 [4747:173153:1]
40194bb (1 curve)	1	2- 3+ 7- 11+ 29+	2- 3+  3 7- 11+ -5  3 -4
Curve Equation t Generators 40194bb1 [1,-1,1,3859,-233387] 1 [187:2552:1]
40194bc (2 curves)	0	2- 3+ 7- 11- 29+	2- 3+ -2 7- 11- -2  2 -2
Curve Equation t 40194bc1 [1,-1,1,-2756,-56105] 2 40194bc2 [1,-1,1,-44336,-3582089] 2
40194bd (2 curves)	0	2- 3+ 7- 11- 29+	2- 3+ -2 7- 11-  4  2 -2
Curve Equation t 40194bd1 [1,-1,1,-12494036,17001295795] 2 40194bd2 [1,-1,1,-12493766,17002067131] 2
40194be (2 curves)	0	2- 3+ 7- 11- 29+	2- 3+  3 7- 11- -1 -3  8
Curve Equation t 40194be1 [1,-1,1,-98471,-12438817] 3 40194be2 [1,-1,1,-8081831,-8841246497] 1
40194bf (1 curve)	1	2- 3+ 7- 11- 29-	2- 3+  1 7- 11- -5  5  0
Curve Equation t Generators 40194bf1 [1,-1,1,-137,-583] 1 [15:16:1]
40194bg (2 curves)	1	2- 3+ 7- 11- 29-	2- 3+ -2 7- 11-  4 -4  0
Curve Equation t Generators 40194bg1 [1,-1,1,-185726,30853901] 2 [243:43:1] 40194bg2 [1,-1,1,-185246,31020941] 2 [61:4435:1]
40194bh (2 curves)	1	2- 3- 7+ 11+ 29+	2- 3-  0 7+ 11+  0  2  0
Curve Equation t Generators 40194bh1 [1,-1,1,-1975775,1042400711] 2 [-941:45942:1] 40194bh2 [1,-1,1,-4648415,-2379647545] 2 [-1229:39030:1]
40194bi (2 curves)	1	2- 3- 7+ 11+ 29+	2- 3-  0 7+ 11+  2 -2  6
Curve Equation t Generators 40194bi1 [1,-1,1,535,5609] 2 [-3:64:1] 40194bi2 [1,-1,1,-3425,57881] 2 [-3:262:1]
40194bj (2 curves)	0	2- 3- 7+ 11+ 29-	2- 3-  2 7+ 11+ -2  4  4
Curve Equation t 40194bj1 [1,-1,1,-2484374,-1506354267] 2 40194bj2 [1,-1,1,-2737814,-1180126299] 2
40194bk (2 curves)	0	2- 3- 7+ 11+ 29-	2- 3-  2 7+ 11+ -2 -4 -8
Curve Equation t 40194bk1 [1,-1,1,-1094,14033] 2 40194bk2 [1,-1,1,-2084,-14479] 2
40194bl (2 curves)	0	2- 3- 7+ 11+ 29-	2- 3-  2 7+ 11+  4  8  4
Curve Equation t 40194bl1 [1,-1,1,-289634,184589921] 2 40194bl2 [1,-1,1,-6950354,7042467233] 2
40194bm (2 curves)	2	2- 3- 7+ 11+ 29-	2- 3- -2 7+ 11+ -6 -2 -2
Curve Equation t Generators 40194bm1 [1,-1,1,-7376,247475] 2 [-75:649:1]&[69:217:1] 40194bm2 [1,-1,1,-118256,15681971] 2 [-345:4087:1]&[201:-155:1]
40194bn (2 curves)	0	2- 3- 7+ 11+ 29-	2- 3-  4 7+ 11+  0  4  4
Curve Equation t 40194bn1 [1,-1,1,-12443,-2022361] 2 40194bn2 [1,-1,1,-328253,-72132181] 2
40194bo (2 curves)	0	2- 3- 7+ 11- 29+	2- 3-  0 7+ 11- -2 -6  6
Curve Equation t 40194bo1 [1,-1,1,8225905,-6640500009] 2 40194bo2 [1,-1,1,-41448335,-59116367145] 2
40194bp (2 curves)	0	2- 3- 7+ 11- 29+	2- 3- -2 7+ 11- -2  0  4
Curve Equation t 40194bp1 [1,-1,1,-131,-1249] 2 40194bp2 [1,-1,1,-2741,-54493] 2
40194bq (1 curve)	0	2- 3- 7+ 11- 29+	2- 3-  3 7+ 11-  3  5 -6
Curve Equation t 40194bq1 [1,-1,1,-43673261,111776250773] 1
40194br (2 curves)	1	2- 3- 7+ 11- 29-	2- 3- -4 7+ 11-  4 -8  0
Curve Equation t Generators 40194br1 [1,-1,1,733,24995] 2 [15:-206:1] 40194br2 [1,-1,1,-9707,338195] 2 [117:-950:1]
40194bs (4 curves)	0	2- 3- 7- 11+ 29+	2- 3-  0 7- 11+  2 -6  2
Curve Equation t 40194bs1 [1,-1,1,-267845,147556505] 2 40194bs2 [1,-1,1,-6137555,5845870973] 2 40194bs3 [1,-1,1,-31059320,66632698811] 6 40194bs4 [1,-1,1,-496949360,4264115603195] 6
40194bt (2 curves)	0	2- 3- 7- 11+ 29+	2- 3- -2 7- 11+  2  0  6
Curve Equation t 40194bt1 [1,-1,1,-401,3165] 2 40194bt2 [1,-1,1,-131,7161] 2
40194bu (2 curves)	0	2- 3- 7- 11+ 29+	2- 3- -2 7- 11+ -6  0  6
Curve Equation t 40194bu1 [1,-1,1,-5756756,-5233992393] 2 40194bu2 [1,-1,1,-158036,-14980244169] 2
40194bv (4 curves)	1	2- 3- 7- 11+ 29-	2- 3- -2 7- 11+  2  2  0
Curve Equation t Generators 40194bv1 [1,-1,1,-12543206,17100867957] 4 [-343:146331:1] 40194bv2 [1,-1,1,-13280486,14978091381] 4 [3347:-91197:1] 40194bv3 [1,-1,1,28208794,89824752501] 2 [-685:265257:1] 40194bv4 [1,-1,1,-66566246,-195735117963] 2 [-4657:117429:1]
40194bw (2 curves)	1	2- 3- 7- 11+ 29-	2- 3- -2 7- 11+  2  2  6
Curve Equation t Generators 40194bw1 [1,-1,1,859,13497] 2 [22:993:8] 40194bw2 [1,-1,1,-6071,143781] 2 [726:4257:8]
40194bx (4 curves)	1	2- 3- 7- 11+ 29-	2- 3- -2 7- 11+  2 -6  4
Curve Equation t Generators 40194bx1 [1,-1,1,-851,3827] 2 [-27:94:1] 40194bx2 [1,-1,1,-7331,-237229] 4 [-51:70:1] 40194bx3 [1,-1,1,-1391,-615013] 4 [147:1456:1] 40194bx4 [1,-1,1,-116951,-15364789] 2 [559:9400:1]
40194by (2 curves)	1	2- 3- 7- 11- 29+	2- 3-  0 7- 11- -2  6  2
Curve Equation t Generators 40194by1 [1,-1,1,-3425,143025] 2 [15:-316:1] 40194by2 [1,-1,1,-66785,6656433] 2 [131:-444:1]
40194bz (2 curves)	1	2- 3- 7- 11- 29+	2- 3- -2 7- 11- -2 -8  4
Curve Equation t Generators 40194bz1 [1,-1,1,59449,13221951] 2 [-13:3534:1] 40194bz2 [1,-1,1,-608711,160484415] 2 [-457:18750:1]
40194ca (2 curves)	0	2- 3- 7- 11- 29-	2- 3-  2 7- 11- -2  4  4
Curve Equation t 40194ca1 [1,-1,1,-84299,9436763] 2 40194ca2 [1,-1,1,-100139,5654171] 2
40194cb (4 curves)	0	2- 3- 7- 11- 29-	2- 3- -2 7- 11- -2  2  0
Curve Equation t 40194cb1 [1,-1,1,-4446446,-3903093763] 4 40194cb2 [1,-1,1,-72748526,-238807607299] 4 40194cb3 [1,-1,1,-74356286,-227698628803] 2 40194cb4 [1,-1,1,-1163974046,-15284625077059] 2
40194cc (2 curves)	0	2- 3- 7- 11- 29-	2- 3-  3 7- 11-  5  3  2
Curve Equation t 40194cc1 [1,-1,1,-851,-241117] 1 40194cc2 [1,-1,1,7654,6505049] 3
40194cd (2 curves)	0	2- 3- 7- 11- 29-	2- 3-  4 7- 11- -2  2  0
Curve Equation t 40194cd1 [1,-1,1,1237,-106441] 2 40194cd2 [1,-1,1,-27473,-1656781] 2

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