Cremona's table of elliptic curves

109800 = 2³ · 3² · 5² · 61

Class	r	Atkin-Lehner	Eigenvalues
109800a (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+ -2  3  3  7 -4
Curve Equation t Generators 109800a1 [0,0,0,-15,-45] 1 [6:9:1]
109800b (1 curve)	2	2+ 3+ 5+ 61-	2+ 3+ 5+ -1  4  2 -8 -7
Curve Equation t Generators 109800b1 [0,0,0,2700,-229500] 1 [120:-1350:1]&[66:486:1]
109800c (1 curve)	2	2+ 3+ 5+ 61-	2+ 3+ 5+ -4  1 -1  1 -4
Curve Equation t Generators 109800c1 [0,0,0,45765,1092015] 1 [35553:904203:343]&[271:5779:1]
109800d (2 curves)	0	2+ 3+ 5- 61+	2+ 3+ 5-  0  0  4 -2 -4
Curve Equation t 109800d1 [0,0,0,-669735,211009050] 2 109800d2 [0,0,0,-10716435,13502793150] 2
109800e (2 curves)	0	2+ 3+ 5- 61+	2+ 3+ 5-  0  0 -4 -2 -4
Curve Equation t 109800e1 [0,0,0,-1860375,-976893750] 2 109800e2 [0,0,0,-29767875,-62512931250] 2
109800f (1 curve)	0	2+ 3+ 5- 61+	2+ 3+ 5-  2 -3 -3  7 -4
Curve Equation t 109800f1 [0,0,0,-3375,151875] 1
109800g (1 curve)	1	2+ 3+ 5- 61-	2+ 3+ 5-  4 -1  1  1 -4
Curve Equation t Generators 109800g1 [0,0,0,127125,-5055625] 1 [131:3721:1]
109800h (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  1  4 -4 -4  5
Curve Equation t 109800h1 [0,0,0,-17645700,181294818500] 1
109800i (2 curves)	0	2+ 3- 5+ 61+	2+ 3- 5+  2  2 -2 -2 -4
Curve Equation t 109800i1 [0,0,0,-17175,-1061750] 2 109800i2 [0,0,0,-291675,-60628250] 2
109800j (2 curves)	0	2+ 3- 5+ 61+	2+ 3- 5+ -2  0 -6  0  4
Curve Equation t 109800j1 [0,0,0,-277950,-53285375] 2 109800j2 [0,0,0,-4378575,-3526514750] 2
109800k (2 curves)	2	2+ 3- 5+ 61+	2+ 3- 5+ -2  0 -6  4 -4
Curve Equation t Generators 109800k1 [0,0,0,-4950,131625] 2 [210:1125:8]&[-36:513:1] 109800k2 [0,0,0,-10575,-222750] 2 [-89:116:1]&[-29:244:1]
109800l (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+ -2  3 -6  3 -5
Curve Equation t 109800l1 [0,0,0,88125,4918750] 1
109800m (2 curves)	0	2+ 3- 5+ 61+	2+ 3- 5+ -2  4  2 -4 -4
Curve Equation t 109800m1 [0,0,0,-34950,-1450375] 2 109800m2 [0,0,0,-490575,-132214750] 2
109800n (2 curves)	0	2+ 3- 5+ 61+	2+ 3- 5+ -2  4  2  8 -4
Curve Equation t 109800n1 [0,0,0,-7950,61625] 2 109800n2 [0,0,0,-76575,-8104750] 2
109800o (2 curves)	0	2+ 3- 5+ 61+	2+ 3- 5+ -2 -4  2 -4  4
Curve Equation t 109800o1 [0,0,0,-22882950,-8779485375] 2 109800o2 [0,0,0,-278236575,-1783742532750] 2
109800p (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  4  6 -3  7 -1
Curve Equation t 109800p1 [0,0,0,17768925,52268442750] 1
109800q (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+ -4  5 -5  1  8
Curve Equation t 109800q1 [0,0,0,285,-85385] 1
109800r (2 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+  0  2 -2 -4 -4
Curve Equation t Generators 109800r1 [0,0,0,-4350,-109375] 2 [-40:25:1] 109800r2 [0,0,0,-975,-274750] 2 [95:700:1]
109800s (1 curve)	1	2+ 3- 5+ 61-	2+ 3- 5+  2 -4 -5  3  1
Curve Equation t Generators 109800s1 [0,0,0,-12675,670750] 1 [230:3150:1]
109800t (1 curve)	1	2+ 3- 5+ 61-	2+ 3- 5+  3  5  1  2 -4
Curve Equation t Generators 109800t1 [0,0,0,368925,-20943250] 1 [1299707885:226335961116:42875]
109800u (4 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+ -4  0  2  2  4
Curve Equation t Generators 109800u1 [0,0,0,-120450,-15958375] 2 [520:7875:1] 109800u2 [0,0,0,-211575,11470250] 4 [3419:198128:1] 109800u3 [0,0,0,800925,89432750] 2 [-49:7076:1] 109800u4 [0,0,0,-2682075,1688939750] 2 [910:1350:1]
109800v (2 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+ -4  2 -2  4 -4
Curve Equation t Generators 109800v1 [0,0,0,13650,-68375] 2 [905:27450:1] 109800v2 [0,0,0,-54975,-548750] 2 [-25:900:1]
109800w (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5-  0 -4  4 -6 -4
Curve Equation t Generators 109800w1 [0,0,0,-23250,1290625] 2 [69:122:1] 109800w2 [0,0,0,-366375,85356250] 2 [4850:335250:1]
109800x (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5-  0 -6 -4 -2  8
Curve Equation t Generators 109800x1 [0,0,0,-855,9450] 2 [-30:90:1] 109800x2 [0,0,0,45,28350] 2 [15:-180:1]
109800y (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5-  3 -4  1  0  2
Curve Equation t Generators 109800y1 [0,0,0,376125,-14881250] 1 [16392150:397194250:389017]
109800z (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5- -3  4 -4 -6  5
Curve Equation t Generators 109800z1 [0,0,0,-61500,-5987500] 1 [550:11250:1]
109800ba (1 curve)	0	2+ 3- 5- 61-	2+ 3- 5-  1  2 -2  4 -4
Curve Equation t 109800ba1 [0,0,0,-5475,156350] 1
109800bb (1 curve)	0	2+ 3- 5- 61-	2+ 3- 5- -2 -2  5 -3  5
Curve Equation t 109800bb1 [0,0,0,142125,33268750] 1
109800bc (1 curve)	2	2+ 3- 5- 61-	2+ 3- 5- -2 -5  1 -3 -4
Curve Equation t Generators 109800bc1 [0,0,0,-75,1775] 1 [-14:9:1]&[-5:45:1]
109800bd (1 curve)	2	2- 3+ 5+ 61+	2- 3+ 5+ -2 -3  3 -7 -4
Curve Equation t Generators 109800bd1 [0,0,0,-135,1215] 1 [9:27:1]&[-11:37:1]
109800be (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+ -1 -4  2  8 -7
Curve Equation t Generators 109800be1 [0,0,0,300,8500] 1 [20:150:1]
109800bf (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+ -4 -1 -1 -1 -4
Curve Equation t Generators 109800bf1 [0,0,0,5085,-40445] 1 [14:183:1]
109800bg (2 curves)	1	2- 3+ 5- 61+	2- 3+ 5-  0  0  4  2 -4
Curve Equation t Generators 109800bg1 [0,0,0,-74415,-7815150] 2 [3925:245290:1] 109800bg2 [0,0,0,-1190715,-500103450] 2 [27345769:-1653621244:6859]
109800bh (2 curves)	1	2- 3+ 5- 61+	2- 3+ 5-  0  0 -4  2 -4
Curve Equation t Generators 109800bh1 [0,0,0,-16743375,26376131250] 2 [1525:66250:1] 109800bh2 [0,0,0,-267910875,1687849143750] 2 [1195295:2368252:125]
109800bi (1 curve)	1	2- 3+ 5- 61+	2- 3+ 5-  2  3 -3 -7 -4
Curve Equation t Generators 109800bi1 [0,0,0,-375,-5625] 1 [25:25:1]
109800bj (1 curve)	0	2- 3+ 5- 61-	2- 3+ 5-  4  1  1 -1 -4
Curve Equation t 109800bj1 [0,0,0,1144125,136501875] 1
109800bk (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -1 -2 -5  6  6
Curve Equation t Generators 109800bk1 [0,0,0,-3675,-238250] 1 [90:400:1]
109800bl (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -1  4  4  0 -3
Curve Equation t Generators 109800bl1 [0,0,0,-909300,333740500] 1 [545:225:1]
109800bm (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+  2 -6  2 -2 -4
Curve Equation t Generators 109800bm1 [0,0,0,-3450,17125] 2 [-10:225:1] 109800bm2 [0,0,0,13425,135250] 2 [5:450:1]
109800bn (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+ -2  0  2 -4  4
Curve Equation t Generators 109800bn1 [0,0,0,-88950,10124125] 2 [246:1769:1] 109800bn2 [0,0,0,-157575,-7649750] 2 [-235:4050:1]
109800bo (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -2  6 -4  5  4
Curve Equation t Generators 109800bo1 [0,0,0,3525,-58250] 1 [178:1413:8]
109800bp (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+ -2 -6  6 -6  4
Curve Equation t Generators 109800bp1 [0,0,0,-8175,1863250] 2 [5:-1350:1] 109800bp2 [0,0,0,-282675,57586750] 2 [-85:9000:1]
109800bq (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+  4 -6 -1  5  7
Curve Equation t Generators 109800bq1 [0,0,0,-7401675,-7784284250] 1 [480060341586179649507665590:70740679229698298268393797400:21755882135240639802863]
109800br (4 curves)	0	2- 3- 5+ 61-	2- 3- 5+  0  0  2  6  4
Curve Equation t 109800br1 [0,0,0,-260850,-63630875] 2 109800br2 [0,0,0,-4446975,-3609278750] 4 109800br3 [0,0,0,-4721475,-3138511250] 2 109800br4 [0,0,0,-71150475,-231001510250] 2
109800bs (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+  0 -2  6  0 -4
Curve Equation t 109800bs1 [0,0,0,-12922950,-5785745875] 2 109800bs2 [0,0,0,48586425,-44967217750] 2
109800bt (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+ -1  2  2 -4 -4
Curve Equation t 109800bt1 [0,0,0,-136875,19543750] 1
109800bu (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+  2 -5 -1  3 -4
Curve Equation t 109800bu1 [0,0,0,-1875,221875] 1
109800bv (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+ -3  3  5 -6 -8
Curve Equation t 109800bv1 [0,0,0,-75,121750] 1
109800bw (4 curves)	0	2- 3- 5+ 61-	2- 3- 5+  4  0  2 -6  4
Curve Equation t 109800bw1 [0,0,0,-21450,399125] 2 109800bw2 [0,0,0,-274575,55327250] 4 109800bw3 [0,0,0,-207075,83204750] 2 109800bw4 [0,0,0,-4392075,3542849750] 4
109800bx (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+  4  6  6  0 -4
Curve Equation t 109800bx1 [0,0,0,1050,-342875] 2 109800bx2 [0,0,0,-67575,-6587750] 2
109800by (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+ -4  2  2  2 -4
Curve Equation t 109800by1 [0,0,0,-22575,-1304750] 2 109800by2 [0,0,0,-18075,-1840250] 2
109800bz (4 curves)	0	2- 3- 5+ 61-	2- 3- 5+ -4  4  2  6 -4
Curve Equation t 109800bz1 [0,0,0,-372450,-87480875] 2 109800bz2 [0,0,0,-400575,-73502750] 4 109800bz3 [0,0,0,971925,-467410250] 2 109800bz4 [0,0,0,-2223075,1215004750] 2
109800ca (2 curves)	2	2- 3- 5- 61+	2- 3- 5-  0 -4 -4  6 -4
Curve Equation t Generators 109800ca1 [0,0,0,-930,10325] 2 [10:45:1]&[14:7:1] 109800ca2 [0,0,0,-14655,682850] 2 [71:-16:1]&[-11:918:1]
109800cb (2 curves)	0	2- 3- 5- 61+	2- 3- 5-  0 -6  4  2  8
Curve Equation t 109800cb1 [0,0,0,-21375,1181250] 2 109800cb2 [0,0,0,1125,3543750] 2
109800cc (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  2  3  6 -3 -5
Curve Equation t 109800cc1 [0,0,0,3525,39350] 1
109800cd (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  3  4  4  6  5
Curve Equation t 109800cd1 [0,0,0,-2460,-47900] 1
109800ce (1 curve)	2	2- 3- 5- 61+	2- 3- 5- -3 -4 -1  0  2
Curve Equation t Generators 109800ce1 [0,0,0,15045,-119050] 1 [10:180:1]&[94:1458:1]
109800cf (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  4  5  5 -1  8
Curve Equation t 109800cf1 [0,0,0,7125,-10673125] 1
109800cg (1 curve)	1	2- 3- 5- 61-	2- 3- 5-  2 -2 -5  3  5
Curve Equation t Generators 109800cg1 [0,0,0,5685,266150] 1 [-190:2745:8]

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