Cremona's table of elliptic curves

37485 = 3² · 5 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
37485a (1 curve)	1	3+ 5+ 7+ 17+	2 3+ 5+ 7+  6  1 17+ -3
Curve Equation t Generators 37485a1 [0,0,1,-27783,7114763] 1 [98:20821:8]
37485b (2 curves)	2	3+ 5+ 7- 17+	-1 3+ 5+ 7-  0  0 17+ -4
Curve Equation t Generators 37485b1 [1,-1,1,-83,5562] 2 [2:-75:1]&[6:69:1] 37485b2 [1,-1,1,-5228,145506] 2 [-642:1983:8]&[30:107:1]
37485c (1 curve)	2	3+ 5+ 7- 17+	-2 3+ 5+ 7- -6 -1 17+  3
Curve Equation t Generators 37485c1 [0,0,1,-63,768] 1 [2:25:1]&[11:37:1]
37485d (2 curves)	1	3+ 5+ 7- 17-	1 3+ 5+ 7-  4 -6 17-  0
Curve Equation t Generators 37485d1 [1,-1,0,-118484655,-496381241224] 2 [1115442066519233334292351688:-96765302565189978065545469468:67741074410554691018839] 37485d2 [1,-1,0,-118438350,-496788641875] 2 [149319809277365396:17196255938553057269:7325120355461]
37485e (2 curves)	1	3+ 5+ 7- 17-	1 3+ 5+ 7- -4  2 17- -8
Curve Equation t Generators 37485e1 [1,-1,0,-30,55] 2 [-26:97:8] 37485e2 [1,-1,0,75,286] 2 [2:-22:1]
37485f (2 curves)	1	3+ 5+ 7- 17-	-1 3+ 5+ 7- -2 -2 17-  0
Curve Equation t Generators 37485f1 [1,-1,1,-818,9776] 2 [16:-33:1] 37485f2 [1,-1,1,-13313,594542] 2 [72:-110:1]
37485g (2 curves)	1	3+ 5+ 7- 17-	-1 3+ 5+ 7-  4 -2 17-  8
Curve Equation t Generators 37485g1 [1,-1,1,-13313,442936] 2 [566:12907:1] 37485g2 [1,-1,1,32992,2813752] 2 [-52:1003:1]
37485h (2 curves)	1	3+ 5+ 7- 17-	-1 3+ 5+ 7- -4  6 17-  0
Curve Equation t Generators 37485h1 [1,-1,1,-268673,-53535128] 2 [662:7310:1] 37485h2 [1,-1,1,-268568,-53579144] 2 [1130:32372:1]
37485i (1 curve)	1	3+ 5- 7+ 17-	-2 3+ 5- 7+ -6  1 17- -3
Curve Equation t Generators 37485i1 [0,0,1,-3087,-263510] 1 [343:-6248:1]
37485j (2 curves)	1	3+ 5- 7- 17+	1 3+ 5- 7-  2 -2 17+  0
Curve Equation t Generators 37485j1 [1,-1,0,-7359,-256600] 2 [1059953480:18538698228:3048625] 37485j2 [1,-1,0,-119814,-15932827] 2 [173780:6166931:125]
37485k (2 curves)	1	3+ 5- 7- 17+	1 3+ 5- 7-  4  6 17+  0
Curve Equation t Generators 37485k1 [1,-1,0,-2418054,1447866503] 2 [1382:26589:1] 37485k2 [1,-1,0,-2417109,1449053990] 2 [-614:52282:1]
37485l (2 curves)	1	3+ 5- 7- 17+	1 3+ 5- 7- -4 -2 17+  8
Curve Equation t Generators 37485l1 [1,-1,0,-1479,-15912] 2 [17720:193012:125] 37485l2 [1,-1,0,3666,-105435] 2 [556:12897:1]
37485m (2 curves)	1	3+ 5- 7- 17+	-1 3+ 5- 7-  4  2 17+ -8
Curve Equation t Generators 37485m1 [1,-1,1,-272,-1214] 2 [20:22:1] 37485m2 [1,-1,1,673,-8396] 2 [32:196:1]
37485n (2 curves)	1	3+ 5- 7- 17+	-1 3+ 5- 7- -4 -6 17+  0
Curve Equation t Generators 37485n1 [1,-1,1,-13164962,18388878736] 2 [1066:74069:1] 37485n2 [1,-1,1,-13159817,18403965934] 2 [1952:-13259:1]
37485o (2 curves)	0	3+ 5- 7- 17-	1 3+ 5- 7-  0  0 17- -4
Curve Equation t 37485o1 [1,-1,0,-744,-149437] 2 37485o2 [1,-1,0,-47049,-3881620] 2
37485p (1 curve)	0	3+ 5- 7- 17-	2 3+ 5- 7-  6 -1 17-  3
Curve Equation t 37485p1 [0,0,1,-567,-20743] 1
37485q (1 curve)	0	3- 5+ 7+ 17+	1 3- 5+ 7+  2 -4 17+  2
Curve Equation t 37485q1 [1,-1,0,-293715,-61266794] 1
37485r (4 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  0  2 17+  0
Curve Equation t Generators 37485r1 [1,-1,0,-79830,-19709649] 2 [8766:815877:1] 37485r2 [1,-1,0,-1687275,-842400000] 4 [-4760823450:-2357900525:6434856] 37485r3 [1,-1,0,-2104020,-394065729] 2 [-1254:17097:1] 37485r4 [1,-1,0,-26989650,-53962206075] 2 [3942817771899060:304863871879373661:415160936000]
37485s (4 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  0  6 17+ -4
Curve Equation t Generators 37485s1 [1,-1,0,6165,311800] 2 [296:5144:1] 37485s2 [1,-1,0,-48960,3431875] 4 [-306:18479:8] 37485s3 [1,-1,0,-236385,-41062820] 2 [-1746:3359:8] 37485s4 [1,-1,0,-743535,246949870] 2 [36404:160691:64]
37485t (1 curve)	1	3- 5+ 7- 17+	1 3- 5+ 7-  3 -1 17+ -6
Curve Equation t Generators 37485t1 [1,-1,0,-450,450225] 1 [1200:18805:27]
37485u (4 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  0  2 17+  4
Curve Equation t Generators 37485u1 [1,-1,1,126337,2407542] 2 [159650:52228296:29791] 37485u2 [1,-1,1,-510908,19740606] 4 [-682:7455:1] 37485u3 [1,-1,1,-5196533,-4536561144] 2 [-36789:115535:27] 37485u4 [1,-1,1,-6021203,5677711512] 2 [1472:807:1]
37485v (4 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  0 -6 17+ -4
Curve Equation t Generators 37485v1 [1,-1,1,18292,-10434378] 2 [511720:-9975162:1331] 37485v2 [1,-1,1,-618953,-180451344] 4 [-472:2760:1] 37485v3 [1,-1,1,-1631048,561211872] 2 [1178:15948:1] 37485v4 [1,-1,1,-9802778,-11810847324] 2 [-48759:26500:27]
37485w (2 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  2  6 17+  0
Curve Equation t Generators 37485w1 [1,-1,1,187342,65171152] 2 [-12332:305573:64] 37485w2 [1,-1,1,-1742033,760517902] 2 [371668:27450695:64]
37485x (4 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  4 -2 17+  4
Curve Equation t Generators 37485x1 [1,-1,1,13882,-838708] 2 [220:3471:1] 37485x2 [1,-1,1,-94163,-8488294] 4 [-162:1660:1] 37485x3 [1,-1,1,-510908,133538402] 2 [-432:16753:1] 37485x4 [1,-1,1,-1406138,-641385034] 2 [-684:562:1]
37485y (1 curve)	1	3- 5+ 7- 17+	2 3- 5+ 7-  4  4 17+  4
Curve Equation t Generators 37485y1 [0,0,1,-7203,-121851] 1 [-6236758882962:-49322984501817:152444461688]
37485z (1 curve)	1	3- 5+ 7- 17+	-2 3- 5+ 7- -6 -1 17+  6
Curve Equation t Generators 37485z1 [0,0,1,191247,-87462342] 1 [623:16537:1]
37485ba (1 curve)	0	3- 5+ 7- 17-	0 3- 5+ 7- -2  5 17- -2
Curve Equation t 37485ba1 [0,0,1,-2099094438,37022586393294] 1
37485bb (2 curves)	0	3- 5+ 7- 17-	0 3- 5+ 7-  6  1 17- -2
Curve Equation t 37485bb1 [0,0,1,-62328,-7794761] 1 37485bb2 [0,0,1,-5460168,-4910855252] 1
37485bc (2 curves)	0	3- 5+ 7- 17-	0 3- 5+ 7-  6  4 17-  4
Curve Equation t 37485bc1 [0,0,1,-33348,2343703] 1 37485bc2 [0,0,1,-76188,-4755956] 1
37485bd (2 curves)	0	3- 5+ 7- 17-	-1 3- 5+ 7- -2 -2 17-  0
Curve Equation t 37485bd1 [1,-1,1,-3758,-87244] 2 37485bd2 [1,-1,1,-1553,-190438] 2
37485be (2 curves)	0	3- 5+ 7- 17-	-1 3- 5+ 7-  4  4 17- -6
Curve Equation t 37485be1 [1,-1,1,33727,-3934528] 2 37485be2 [1,-1,1,-263948,-42513208] 2
37485bf (1 curve)	0	3- 5+ 7- 17-	2 3- 5+ 7-  2 -3 17-  0
Curve Equation t 37485bf1 [0,0,1,3087,6466493] 1
37485bg (1 curve)	0	3- 5+ 7- 17-	2 3- 5+ 7- -2  1 17- -6
Curve Equation t 37485bg1 [0,0,1,-4408383,3570524613] 1
37485bh (1 curve)	0	3- 5+ 7- 17-	-2 3- 5+ 7-  2  5 17- -8
Curve Equation t 37485bh1 [0,0,1,-3423,-179132] 1
37485bi (2 curves)	1	3- 5- 7+ 17+	0 3- 5- 7+  6 -4 17+ -4
Curve Equation t Generators 37485bi1 [0,0,1,-1634052,-803890215] 1 [-735:269:1] 37485bi2 [0,0,1,-3733212,1631292822] 3 [30:38978:1]
37485bj (1 curve)	0	3- 5- 7+ 17-	1 3- 5- 7+  3  1 17-  6
Curve Equation t 37485bj1 [1,-1,0,-9,-1310] 1
37485bk (1 curve)	0	3- 5- 7+ 17-	2 3- 5- 7+  4 -4 17- -4
Curve Equation t 37485bk1 [0,0,1,-147,355] 1
37485bl (2 curves)	0	3- 5- 7- 17+	-1 3- 5- 7-  0  0 17+ -2
Curve Equation t 37485bl1 [1,-1,1,-1112,-74014] 2 37485bl2 [1,-1,1,-34187,-2415724] 2
37485bm (2 curves)	0	3- 5- 7- 17+	-1 3- 5- 7-  0 -4 17+ -2
Curve Equation t 37485bm1 [1,-1,1,51128428,-357315573954] 2 37485bm2 [1,-1,1,-551663447,-4416998293704] 2
37485bn (1 curve)	0	3- 5- 7- 17+	2 3- 5- 7-  2  3 17+  0
Curve Equation t 37485bn1 [0,0,1,63,-18853] 1
37485bo (1 curve)	0	3- 5- 7- 17+	-2 3- 5- 7-  2 -5 17+  8
Curve Equation t 37485bo1 [0,0,1,-167727,61442190] 1
37485bp (1 curve)	1	3- 5- 7- 17-	0 3- 5- 7-  2 -3 17-  2
Curve Equation t Generators 37485bp1 [0,0,1,-15582,1106775] 1 [-7:1102:1]
37485bq (1 curve)	1	3- 5- 7- 17-	1 3- 5- 7-  2  4 17- -2
Curve Equation t Generators 37485bq1 [1,-1,0,-5994,180333] 1 [52:59:1]
37485br (6 curves)	1	3- 5- 7- 17-	1 3- 5- 7-  4  2 17-  4
Curve Equation t Generators 37485br1 [1,-1,0,-1722114,870273823] 2 [1020162:-1054241:1331] 37485br2 [1,-1,0,-1724319,867935200] 4 [1318:193381:8] 37485br3 [1,-1,0,-787194,1806747025] 2 [4038:311701:8] 37485br4 [1,-1,0,-2696724,-220574957] 4 [-558:33599:1] 37485br5 [1,-1,0,10685421,-1764874490] 4 [40518:3395041:8] 37485br6 [1,-1,0,-31637349,-68352594332] 2 [56326:-1952903:8]
37485bs (4 curves)	1	3- 5- 7- 17-	1 3- 5- 7- -4 -2 17- -8
Curve Equation t Generators 37485bs1 [1,-1,0,-147744,-21821157] 2 [-6218723408:3174835259:28094464] 37485bs2 [1,-1,0,-149949,-21134520] 4 [-115960:611925:512] 37485bs3 [1,-1,0,112446,-87415497] 2 [3642:218679:1] 37485bs4 [1,-1,0,-447624,89064765] 2 [-4338:107127:8]
37485bt (6 curves)	1	3- 5- 7- 17-	1 3- 5- 7- -4 -6 17-  4
Curve Equation t Generators 37485bt1 [1,-1,0,15426,1821343] 2 [-18:1249:1] 37485bt2 [1,-1,0,-163179,22432360] 4 [-264:6992:1] 37485bt3 [1,-1,0,-659304,-182864165] 4 [16078:642211:8] 37485bt4 [1,-1,0,-2524734,1544690713] 2 [-1048:55649:1] 37485bt5 [1,-1,0,961371,-941664200] 2 [233931550:-10876642121:125000] 37485bt6 [1,-1,0,-10217979,-12568995230] 2 [-1846:1364:1]
37485bu (2 curves)	1	3- 5- 7- 17-	-1 3- 5- 7-  2 -6 17-  0
Curve Equation t Generators 37485bu1 [1,-1,1,3823,-191096] 2 [52:356:1] 37485bu2 [1,-1,1,-35552,-2207096] 2 [-103:646:1]
37485bv (4 curves)	1	3- 5- 7- 17-	-1 3- 5- 7- -4  2 17-  0
Curve Equation t Generators 37485bv1 [1,-1,1,-16547,-814894] 2 [150:172:1] 37485bv2 [1,-1,1,-18752,-582046] 4 [-68:646:1] 37485bv3 [1,-1,1,58423,-4193836] 2 [114:1927:1] 37485bv4 [1,-1,1,-131207,17905556] 2 [-194:6099:1]
37485bw (1 curve)	1	3- 5- 7- 17-	-2 3- 5- 7-  2  1 17- -2
Curve Equation t Generators 37485bw1 [0,0,1,-147,10890] 1 [35:220:1]

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