Cremona's table of elliptic curves

36975 = 3 · 5² · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
36975a (1 curve)	1	3+ 5+ 17+ 29+	1 3+ 5+ -3 -4 -3 17+  1
Curve Equation t Generators 36975a1 [1,1,0,-35150,-3529875] 1 [15020:1833215:1]
36975b (1 curve)	1	3+ 5+ 17+ 29+	-1 3+ 5+ -1  0  1 17+ -1
Curve Equation t Generators 36975b1 [1,1,1,212,-94] 1 [20:102:1]
36975c (2 curves)	1	3+ 5+ 17+ 29+	-1 3+ 5+  2  2 -2 17+  2
Curve Equation t Generators 36975c1 [1,1,1,-544963,154617656] 2 [400:712:1] 36975c2 [1,1,1,-534838,160652156] 2 [-70:14097:1]
36975d (2 curves)	1	3+ 5+ 17+ 29+	-1 3+ 5+ -4  2 -2 17+  2
Curve Equation t Generators 36975d1 [1,1,1,-2313,-39594] 2 [-30:77:1] 36975d2 [1,1,1,-8688,266406] 2 [105:-778:1]
36975e (2 curves)	1	3+ 5+ 17+ 29+	2 3+ 5+  2 -3  1 17+  5
Curve Equation t Generators 36975e1 [0,-1,1,-151758,23035043] 1 [39907134:139704661:157464] 36975e2 [0,-1,1,982992,-797401957] 1 [7122315007196507539746578232626841491814:-8640211078789049655992317444391627175672719:4839658647786867971647143467749944]
36975f (1 curve)	1	3+ 5+ 17+ 29+	2 3+ 5+  2  5  1 17+ -7
Curve Equation t Generators 36975f1 [0,-1,1,-6808,-931107] 1 [2632393759699726:-19338836386126795:18079623134936]
36975g (6 curves)	0	3+ 5+ 17+ 29-	1 3+ 5+  0  4  2 17+  4
Curve Equation t 36975g1 [1,1,0,-22500,1285875] 2 36975g2 [1,1,0,-32625,0] 4 36975g3 [1,1,0,130500,163125] 2 36975g4 [1,1,0,-357750,-82256625] 4 36975g5 [1,1,0,-198375,-155728500] 2 36975g6 [1,1,0,-5719125,-5266706250] 2
36975h (1 curve)	2	3+ 5+ 17+ 29-	-1 3+ 5+ -1 -4  6 17+ -1
Curve Equation t Generators 36975h1 [1,1,1,-104128,22575566] 1 [-364:3705:1]&[-306:5242:1]
36975i (2 curves)	0	3+ 5+ 17- 29+	0 3+ 5+  1  0  4 17- -4
Curve Equation t 36975i1 [0,-1,1,14467,-916282] 1 36975i2 [0,-1,1,-471533,-124998157] 1
36975j (4 curves)	0	3+ 5+ 17- 29+	-1 3+ 5+  0  4  2 17-  8
Curve Equation t 36975j1 [1,1,1,1262,145406] 2 36975j2 [1,1,1,-34863,2385156] 4 36975j3 [1,1,1,-96488,-8460844] 2 36975j4 [1,1,1,-551238,157297656] 2
36975k (1 curve)	1	3+ 5+ 17- 29-	0 3+ 5+ -1  0 -4 17-  0
Curve Equation t Generators 36975k1 [0,-1,1,77367,-16772332] 1 [5882:451562:1]
36975l (4 curves)	1	3+ 5+ 17- 29-	-1 3+ 5+  0  4 -6 17-  4
Curve Equation t Generators 36975l1 [1,1,1,-5813,293906] 4 [26:388:1] 36975l2 [1,1,1,-110938,14170406] 4 [74:2487:1] 36975l3 [1,1,1,-129063,9204156] 2 [-30:3627:1] 36975l4 [1,1,1,-1774813,909335156] 2 [799:1063:1]
36975m (1 curve)	1	3+ 5+ 17- 29-	-1 3+ 5+ -3  0  1 17-  0
Curve Equation t Generators 36975m1 [1,1,1,1207,-37924] 1 [246:3778:1]
36975n (4 curves)	1	3+ 5+ 17- 29-	-1 3+ 5+  4  0  2 17- -8
Curve Equation t Generators 36975n1 [1,1,1,562,2906] 2 [44:317:1] 36975n2 [1,1,1,-2563,21656] 4 [-4:180:1] 36975n3 [1,1,1,-20688,-1138344] 2 [-80:152:1] 36975n4 [1,1,1,-34438,2444156] 4 [121:198:1]
36975o (2 curves)	0	3+ 5- 17+ 29+	-1 3+ 5-  4  0 -4 17+  4
Curve Equation t 36975o1 [1,1,1,-61388,5804156] 2 36975o2 [1,1,1,-29513,11860406] 2
36975p (2 curves)	1	3+ 5- 17+ 29-	-1 3+ 5- -2  0 -4 17+ -8
Curve Equation t Generators 36975p1 [1,1,1,-79068888,269851516656] 2 [4860:17507:1] 36975p2 [1,1,1,-1264149513,17299460097906] 2 [21406:208928:1]
36975q (1 curve)	1	3+ 5- 17- 29+	1 3+ 5-  1 -4 -1 17-  0
Curve Equation t Generators 36975q1 [1,1,0,-1180450,-494142875] 1 [134388980:1198957685:103823]
36975r (2 curves)	1	3+ 5- 17- 29+	1 3+ 5-  4 -2  0 17-  6
Curve Equation t Generators 36975r1 [1,1,0,-1720,-16325] 2 [-26:121:1] 36975r2 [1,1,0,5505,-110250] 2 [1310:17615:8]
36975s (2 curves)	1	3+ 5- 17- 29+	1 3+ 5- -4 -4  4 17-  0
Curve Equation t Generators 36975s1 [1,1,0,-1075,19000] 2 [24:76:1] 36975s2 [1,1,0,-19200,1015875] 2 [66:171:1]
36975t (1 curve)	0	3+ 5- 17- 29-	2 3+ 5-  4 -5 -2 17- -6
Curve Equation t 36975t1 [0,-1,1,-2958,115193] 1
36975u (1 curve)	0	3- 5+ 17+ 29+	-1 3- 5+ -1 -4  1 17+  0
Curve Equation t 36975u1 [1,0,0,-47218,-3953143] 1
36975v (2 curves)	0	3- 5+ 17+ 29+	-1 3- 5+  2  2 -2 17+ -6
Curve Equation t 36975v1 [1,0,0,-13926588,6335419167] 2 36975v2 [1,0,0,52503537,49315710042] 2
36975w (1 curve)	1	3- 5+ 17+ 29-	0 3- 5+  2  1  1 17+  5
Curve Equation t Generators 36975w1 [0,1,1,-154383,29649269] 1 [297:3175:1]
36975x (1 curve)	1	3- 5+ 17+ 29-	0 3- 5+ -2 -3 -7 17+ -3
Curve Equation t Generators 36975x1 [0,1,1,-433,3544] 1 [4:43:1]
36975y (1 curve)	1	3- 5+ 17+ 29-	0 3- 5+ -3 -4 -4 17+  0
Curve Equation t Generators 36975y1 [0,1,1,-89383,-10315481] 1 [28873:4905937:1]
36975z (1 curve)	1	3- 5+ 17+ 29-	0 3- 5+  4  3 -4 17+  0
Curve Equation t Generators 36975z1 [0,1,1,-73908383,249797293394] 1 [14572:1505749:1]
36975ba (2 curves)	1	3- 5+ 17+ 29-	-1 3- 5+ -2 -4  2 17+  0
Curve Equation t Generators 36975ba1 [1,0,0,-1463,-11208] 2 [-33:54:1] 36975ba2 [1,0,0,4912,-81333] 2 [18:105:1]
36975bb (2 curves)	1	3- 5+ 17+ 29-	-1 3- 5+ -4  2 -2 17+ -6
Curve Equation t Generators 36975bb1 [1,0,0,-67338,6650667] 2 [111:684:1] 36975bb2 [1,0,0,-124713,-6373458] 2 [-114:-2466:1]
36975bc (1 curve)	1	3- 5+ 17- 29+	2 3- 5+  0 -3 -3 17-  1
Curve Equation t Generators 36975bc1 [0,1,1,492,-10231] 1 [282:1823:8]
36975bd (2 curves)	1	3- 5- 17+ 29+	-1 3- 5-  4 -4 -4 17+  0
Curve Equation t Generators 36975bd1 [1,0,0,-43,152] 2 [1:10:1] 36975bd2 [1,0,0,-768,8127] 2 [3:75:1]
36975be (2 curves)	1	3- 5- 17+ 29+	-1 3- 5- -4 -2  0 17+  6
Curve Equation t Generators 36975be1 [1,0,0,-43013,-1954608] 2 [-173:649:1] 36975be2 [1,0,0,137612,-14056483] 2 [377:-9751:1]
36975bf (1 curve)	0	3- 5- 17+ 29-	1 3- 5-  3  0 -1 17+  0
Curve Equation t 36975bf1 [1,0,1,30174,-4800827] 1
36975bg (1 curve)	2	3- 5- 17+ 29-	-2 3- 5- -4 -5  2 17+ -6
Curve Equation t Generators 36975bg1 [0,1,1,-118,874] 1 [8:22:1]&[-86:251:8]
36975bh (2 curves)	0	3- 5- 17- 29+	1 3- 5- -4  0  4 17-  4
Curve Equation t 36975bh1 [1,0,1,-2456,46433] 2 36975bh2 [1,0,1,-1181,94883] 2
36975bi (1 curve)	1	3- 5- 17- 29-	1 3- 5-  1 -4 -6 17- -1
Curve Equation t Generators 36975bi1 [1,0,1,-2603201,2827152173] 1 [531:-40199:1]
36975bj (2 curves)	1	3- 5- 17- 29-	1 3- 5-  2  0  4 17- -8
Curve Equation t Generators 36975bj1 [1,0,1,-3162756,2158812133] 2 [-217:53352:1] 36975bj2 [1,0,1,-50565981,138395680783] 2 [39574:-791829:8]

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