Cremona's table of elliptic curves

109725 = 3 · 5² · 7 · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
109725a (4 curves)	1	3+ 5+ 7+ 11+ 19+	1 3+ 5+ 7+ 11+ -2 -2 19+
Curve Equation t Generators 109725a1 [1,1,0,-1925,-105000] 2 [70932:3600526:27] 109725a2 [1,1,0,-47050,-3940625] 4 [2110:10495:8] 109725a3 [1,1,0,-63675,-931500] 2 [58794:275765:216] 109725a4 [1,1,0,-752425,-251527250] 2 [84190:8564755:8]
109725b (4 curves)	1	3+ 5+ 7+ 11+ 19+	-1 3+ 5+ 7+ 11+ -2  2 19+
Curve Equation t Generators 109725b1 [1,1,1,-90213,-10466094] 2 [-174:113:1] 109725b2 [1,1,1,-96338,-8971594] 4 [-226:1262:1] 109725b3 [1,1,1,221287,-55344844] 2 [299:5987:1] 109725b4 [1,1,1,-511963,133172156] 2 [545:3777:1]
109725c (1 curve)	1	3+ 5+ 7+ 11+ 19+	-1 3+ 5+ 7+ 11+ -3  7 19+
Curve Equation t Generators 109725c1 [1,1,1,39187,23099156] 1 [1070:35402:1]
109725d (1 curve)	1	3+ 5+ 7+ 11+ 19+	-2 3+ 5+ 7+ 11+  4  4 19+
Curve Equation t Generators 109725d1 [0,-1,1,-28908,1901468] 1 [98:8:1]
109725e (2 curves)	2	3+ 5+ 7+ 11+ 19-	0 3+ 5+ 7+ 11+ -5  3 19-
Curve Equation t Generators 109725e1 [0,-1,1,1917,-51307] 1 [23:66:1]&[37:262:1] 109725e2 [0,-1,1,-69333,-7026682] 1 [332:2537:1]&[398:5316:1]
109725f (4 curves)	2	3+ 5+ 7+ 11+ 19-	-1 3+ 5+ 7+ 11+  2 -6 19-
Curve Equation t Generators 109725f1 [1,1,1,87,-18594] 2 [50:312:1]&[194:2613:1] 109725f2 [1,1,1,-10038,-383094] 4 [-60:117:1]&[-54:98:1] 109725f3 [1,1,1,-22413,730656] 2 [-104:1448:1]&[-85:1467:1] 109725f4 [1,1,1,-159663,-24622344] 2 [-231:117:1]&[825:19737:1]
109725g (4 curves)	0	3+ 5+ 7+ 11- 19+	-1 3+ 5+ 7+ 11- -2  2 19+
Curve Equation t 109725g1 [1,1,1,-2619113,-1632562594] 2 109725g2 [1,1,1,-2625238,-1624551094] 4 109725g3 [1,1,1,-711613,-3940037344] 2 109725g4 [1,1,1,-4636863,1203793656] 2
109725h (1 curve)	0	3+ 5+ 7+ 11- 19+	2 3+ 5+ 7+ 11-  0 -2 19+
Curve Equation t 109725h1 [0,-1,1,-502554508,4336505822043] 1
109725i (2 curves)	0	3+ 5+ 7+ 11- 19+	2 3+ 5+ 7+ 11- -4 -8 19+
Curve Equation t 109725i1 [0,-1,1,-46758,3903293] 1 109725i2 [0,-1,1,-1312008,-577733707] 1
109725j (2 curves)	1	3+ 5+ 7+ 11- 19-	0 3+ 5+ 7+ 11- -5 -6 19-
Curve Equation t Generators 109725j1 [0,-1,1,-173,1703] 1 [13:38:1] 109725j2 [0,-1,1,1477,-33112] 1 [28:171:1]
109725k (4 curves)	1	3+ 5+ 7+ 11- 19-	1 3+ 5+ 7+ 11-  6  2 19-
Curve Equation t Generators 109725k1 [1,1,0,1225,0] 2 [256:4016:1] 109725k2 [1,1,0,-4900,-6125] 4 [-490:2345:8] 109725k3 [1,1,0,-54775,-4943750] 2 [-1098:1433:8] 109725k4 [1,1,0,-53025,4662000] 2 [20:1890:1]
109725l (1 curve)	0	3+ 5+ 7- 11+ 19+	0 3+ 5+ 7- 11+ -2  5 19+
Curve Equation t 109725l1 [0,-1,1,-3850313,8588434013] 1
109725m (1 curve)	0	3+ 5+ 7- 11+ 19+	0 3+ 5+ 7- 11+  4 -2 19+
Curve Equation t 109725m1 [0,-1,1,-24846283,-26272160907] 1
109725n (2 curves)	0	3+ 5+ 7- 11+ 19+	1 3+ 5+ 7- 11+  6  0 19+
Curve Equation t 109725n1 [1,1,0,2659849225,26360458767000] 2 109725n2 [1,1,0,-12015923150,223177242088125] 2
109725o (1 curve)	0	3+ 5+ 7- 11+ 19+	2 3+ 5+ 7- 11+  3  7 19+
Curve Equation t 109725o1 [0,-1,1,-5908,183093] 1
109725p (1 curve)	0	3+ 5+ 7- 11+ 19+	-2 3+ 5+ 7- 11+  0  6 19+
Curve Equation t 109725p1 [0,-1,1,725592,-556305532] 1
109725q (1 curve)	1	3+ 5+ 7- 11+ 19-	1 3+ 5+ 7- 11+  1  4 19-
Curve Equation t Generators 109725q1 [1,1,0,2175,42750] 1 [-14:106:1]
109725r (1 curve)	1	3+ 5+ 7- 11+ 19-	1 3+ 5+ 7- 11+  1  7 19-
Curve Equation t Generators 109725r1 [1,1,0,-45565,3747220] 1 [84:680:1]
109725s (1 curve)	1	3+ 5+ 7- 11+ 19-	-1 3+ 5+ 7- 11+ -5 -4 19-
Curve Equation t Generators 109725s1 [1,1,1,-71345638,231996996656] 1 [5524:77763:1]
109725t (1 curve)	1	3+ 5+ 7- 11- 19+	0 3+ 5+ 7- 11-  1  1 19+
Curve Equation t Generators 109725t1 [0,-1,1,94117,10678043] 1 [-83:1512:1]
109725u (1 curve)	1	3+ 5+ 7- 11- 19+	0 3+ 5+ 7- 11- -4  6 19+
Curve Equation t Generators 109725u1 [0,-1,1,-21383,-987457] 1 [-59:255:1]
109725v (1 curve)	1	3+ 5+ 7- 11- 19+	2 3+ 5+ 7- 11-  1  0 19+
Curve Equation t Generators 109725v1 [0,-1,1,-11758,-486957] 1 [1226:9071:8]
109725w (1 curve)	0	3+ 5+ 7- 11- 19-	1 3+ 5+ 7- 11- -3  3 19-
Curve Equation t 109725w1 [1,1,0,73663487975,-3468093122078750] 1
109725x (2 curves)	0	3+ 5+ 7- 11- 19-	-1 3+ 5+ 7- 11- -2  0 19-
Curve Equation t 109725x1 [1,1,1,-2442838,-9444339094] 2 109725x2 [1,1,1,-83635213,-293130497344] 2
109725y (1 curve)	0	3+ 5+ 7- 11- 19-	2 3+ 5+ 7- 11-  4 -6 19-
Curve Equation t 109725y1 [0,-1,1,-5258,199793] 1
109725z (1 curve)	0	3+ 5+ 7- 11- 19-	2 3+ 5+ 7- 11-  5  5 19-
Curve Equation t 109725z1 [0,-1,1,1591842,2840709593] 1
109725ba (1 curve)	0	3+ 5+ 7- 11- 19-	2 3+ 5+ 7- 11- -5  0 19-
Curve Equation t 109725ba1 [0,-1,1,-1717658,-873720157] 1
109725bb (1 curve)	0	3+ 5- 7+ 11+ 19+	-1 3+ 5- 7+ 11+  1 -3 19+
Curve Equation t 109725bb1 [1,1,1,26590487,2145920687906] 1
109725bc (1 curve)	1	3+ 5- 7+ 11+ 19-	0 3+ 5- 7+ 11+ -5 -8 19-
Curve Equation t Generators 109725bc1 [0,-1,1,307,66713] 1 [47:427:1]
109725bd (1 curve)	0	3+ 5- 7+ 11- 19-	1 3+ 5- 7+ 11-  5 -4 19-
Curve Equation t 109725bd1 [1,1,0,-279450,-63907875] 1
109725be (1 curve)	2	3+ 5- 7+ 11- 19-	-1 3+ 5- 7+ 11- -5  3 19-
Curve Equation t Generators 109725be1 [1,1,1,-13,206] 1 [-6:13:1]&[1:13:1]
109725bf (1 curve)	0	3+ 5- 7- 11+ 19-	0 3+ 5- 7- 11+  6  7 19-
Curve Equation t 109725bf1 [0,-1,1,-148083,22005443] 1
109725bg (2 curves)	1	3+ 5- 7- 11- 19-	1 3+ 5- 7- 11-  2 -2 19-
Curve Equation t Generators 109725bg1 [1,1,0,-7450,73375] 2 [-66:565:1] 109725bg2 [1,1,0,28175,607750] 2 [222:9395:8]
109725bh (1 curve)	0	3- 5+ 7+ 11+ 19+	1 3- 5+ 7+ 11+  1  3 19+
Curve Equation t 109725bh1 [1,0,1,-7151,-235177] 1
109725bi (2 curves)	0	3- 5+ 7+ 11+ 19+	1 3- 5+ 7+ 11+  6  0 19+
Curve Equation t 109725bi1 [1,0,1,1599,-32177] 2 109725bi2 [1,0,1,-10776,-329177] 2
109725bj (1 curve)	0	3- 5+ 7+ 11+ 19+	-1 3- 5+ 7+ 11+ -1  3 19+
Curve Equation t 109725bj1 [1,0,0,-21219463,127610546042] 1
109725bk (4 curves)	2	3- 5+ 7+ 11+ 19+	-1 3- 5+ 7+ 11+ -2 -2 19+
Curve Equation t Generators 109725bk1 [1,0,0,-4813,-14008] 2 [-43:359:1]&[-4:74:1] 109725bk2 [1,0,0,-49938,4272867] 4 [-1914:13707:8]&[-153:2964:1] 109725bk3 [1,0,0,-23813,8740242] 2 [-143:3109:1]&[-134:3154:1] 109725bk4 [1,0,0,-798063,274345992] 2 [516:-246:1]&[4326:5787:8]
109725bl (1 curve)	0	3- 5+ 7+ 11+ 19+	2 3- 5+ 7+ 11+ -4  0 19+
Curve Equation t 109725bl1 [0,1,1,-10858,-388181] 1
109725bm (1 curve)	1	3- 5+ 7+ 11+ 19-	0 3- 5+ 7+ 11+  0 -4 19-
Curve Equation t Generators 109725bm1 [0,1,1,-8760883,-18855653231] 1 [5693:-340313:1]
109725bn (1 curve)	1	3- 5+ 7+ 11+ 19-	0 3- 5+ 7+ 11+  0  6 19-
Curve Equation t Generators 109725bn1 [0,1,1,-133,394] 1 [26:17:8]
109725bo (1 curve)	1	3- 5+ 7+ 11+ 19-	0 3- 5+ 7+ 11+ -6 -7 19-
Curve Equation t Generators 109725bo1 [0,1,1,-5923,173674] 1 [62:-221:1]
109725bp (2 curves)	1	3- 5+ 7+ 11- 19+	1 3- 5+ 7+ 11-  0  6 19+
Curve Equation t Generators 109725bp1 [1,0,1,-8401,259823] 2 [-274:5833:8] 109725bp2 [1,0,1,12974,1371323] 2 [206:10393:8]
109725bq (4 curves)	1	3- 5+ 7+ 11- 19+	-1 3- 5+ 7+ 11- -2 -6 19+
Curve Equation t Generators 109725bq1 [1,0,0,55812,26750367] 2 [123:-6018:1] 109725bq2 [1,0,0,-1072313,402415992] 4 [1111:-24695:1] 109725bq3 [1,0,0,-3316688,-1835225883] 2 [-668:9409:1] 109725bq4 [1,0,0,-16877938,26687170367] 2 [2387:44:1]
109725br (1 curve)	1	3- 5+ 7+ 11- 19+	-2 3- 5+ 7+ 11-  1  0 19+
Curve Equation t Generators 109725br1 [0,1,1,-2408,158594] 1 [-47:-413:1]
109725bs (2 curves)	0	3- 5+ 7+ 11- 19-	1 3- 5+ 7+ 11-  4  2 19-
Curve Equation t 109725bs1 [1,0,1,-112501,13786523] 2 109725bs2 [1,0,1,79874,56109023] 2
109725bt (1 curve)	1	3- 5+ 7- 11+ 19+	1 3- 5+ 7- 11+ -1  3 19+
Curve Equation t Generators 109725bt1 [1,0,1,1063619,17167365503] 1 [4693:351947:1]
109725bu (1 curve)	0	3- 5+ 7- 11+ 19-	0 3- 5+ 7- 11+  0  0 19-
Curve Equation t 109725bu1 [0,1,1,-3281283,-2483504281] 1
109725bv (6 curves)	0	3- 5+ 7- 11+ 19-	1 3- 5+ 7- 11+  2 -2 19-
Curve Equation t 109725bv1 [1,0,1,-1083001,437781023] 2 109725bv2 [1,0,1,-17373126,27870351523] 4 109725bv3 [1,0,1,-17418251,27718280273] 4 109725bv4 [1,0,1,-277970001,1783772095273] 2 109725bv5 [1,0,1,-4058876,69185780273] 2 109725bv6 [1,0,1,-31499626,-23481599227] 2
109725bw (4 curves)	0	3- 5+ 7- 11+ 19-	1 3- 5+ 7- 11+  6  6 19-
Curve Equation t 109725bw1 [1,0,1,-19251,952273] 2 109725bw2 [1,0,1,-64376,-5184727] 4 109725bw3 [1,0,1,127999,-30193477] 2 109725bw4 [1,0,1,-978751,-372763477] 2
109725bx (6 curves)	1	3- 5+ 7- 11- 19-	1 3- 5+ 7- 11-  2  6 19-
Curve Equation t Generators 109725bx1 [1,0,1,174124,60231773] 2 [16401:525154:27] 109725bx2 [1,0,1,-1656001,708096023] 4 [-2794:283543:8] 109725bx3 [1,0,1,-7116126,-6608471477] 4 [-1853:15626:1] 109725bx4 [1,0,1,-25477876,49495296023] 2 [200244:1198363:64] 109725bx5 [1,0,1,9211999,-32504877727] 2 [2367:49441:1] 109725bx6 [1,0,1,-110806251,-448950544727] 2 [-48682:40363:8]
109725by (1 curve)	1	3- 5+ 7- 11- 19-	1 3- 5+ 7- 11-  5 -3 19-
Curve Equation t Generators 109725by1 [1,0,1,-326,26423] 1 [2395:19398:125]
109725bz (1 curve)	1	3- 5+ 7- 11- 19-	-1 3- 5+ 7- 11-  1  7 19-
Curve Equation t Generators 109725bz1 [1,0,0,5687,-32758] 1 [17:-271:1]
109725ca (4 curves)	1	3- 5+ 7- 11- 19-	-1 3- 5+ 7- 11- -2 -2 19-
Curve Equation t Generators 109725ca1 [1,0,0,-1375688,-621165633] 2 [-677:370:1] 109725ca2 [1,0,0,-1390813,-606812008] 4 [-739:4559:1] 109725ca3 [1,0,0,725312,-2289131383] 2 [1736:63959:1] 109725ca4 [1,0,0,-3748938,1994199867] 2 [-1887:49422:1]
109725cb (4 curves)	1	3- 5+ 7- 11- 19-	-1 3- 5+ 7- 11- -2 -2 19-
Curve Equation t Generators 109725cb1 [1,0,0,-560063,161278992] 2 [441:105:1] 109725cb2 [1,0,0,-560188,161203367] 4 [15069:-135547:27] 109725cb3 [1,0,0,-431563,237220742] 2 [1507:-55616:1] 109725cb4 [1,0,0,-690813,80346492] 2 [-333:16704:1]
109725cc (1 curve)	1	3- 5+ 7- 11- 19-	-1 3- 5+ 7- 11- -5  4 19-
Curve Equation t Generators 109725cc1 [1,0,0,-11178,-511263] 1 [261:-3921:1]
109725cd (1 curve)	1	3- 5- 7+ 11+ 19+	0 3- 5- 7+ 11+  2 -5 19+
Curve Equation t Generators 109725cd1 [0,1,1,-96257833,1073361735994] 1 [6682:853555:1]
109725ce (1 curve)	0	3- 5- 7+ 11+ 19-	1 3- 5- 7+ 11+  5  4 19-
Curve Equation t 109725ce1 [1,0,1,-2853826,1855975973] 1
109725cf (1 curve)	2	3- 5- 7+ 11+ 19-	-1 3- 5- 7+ 11+ -1 -4 19-
Curve Equation t Generators 109725cf1 [1,0,0,87,342] 1 [6:-36:1]&[-3:9:1]
109725cg (1 curve)	2	3- 5- 7+ 11+ 19-	-1 3- 5- 7+ 11+ -1 -7 19-
Curve Equation t Generators 109725cg1 [1,0,0,-1139138,470680767] 1 [-1098:20499:1]&[2227:93649:1]
109725ch (2 curves)	1	3- 5- 7+ 11- 19-	-1 3- 5- 7+ 11- -2  2 19-
Curve Equation t Generators 109725ch1 [1,0,0,-298,587] 2 [-17:37:1] 109725ch2 [1,0,0,1127,4862] 2 [-2:52:1]
109725ci (1 curve)	1	3- 5- 7- 11+ 19-	0 3- 5- 7- 11+  5  8 19-
Curve Equation t Generators 109725ci1 [0,1,1,7667,8354494] 1 [1658:67687:1]
109725cj (2 curves)	0	3- 5- 7- 11- 19-	0 3- 5- 7- 11-  5  6 19-
Curve Equation t 109725cj1 [0,1,1,-4333,204244] 3 109725cj2 [0,1,1,36917,-4065131] 1

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