Cremona's table of elliptic curves

72618 = 2 · 3 · 7² · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
72618a (1 curve)	1	2+ 3+ 7+ 13- 19-	2+ 3+  1 7+  3 13-  2 19-
Curve Equation t Generators 72618a1 [1,1,0,-260168122,1649576108692] 1 [210916:96484126:1]
72618b (1 curve)	1	2+ 3+ 7+ 13- 19-	2+ 3+ -1 7+  1 13- -2 19-
Curve Equation t Generators 72618b1 [1,1,0,-72643,-13360451] 1 [3394:195409:1]
72618c (2 curves)	0	2+ 3+ 7- 13+ 19+	2+ 3+  0 7-  3 13+ -6 19+
Curve Equation t 72618c1 [1,1,0,-7620,-389808] 1 72618c2 [1,1,0,62205,6014541] 1
72618d (1 curve)	2	2+ 3+ 7- 13+ 19+	2+ 3+ -1 7-  3 13+  0 19+
Curve Equation t Generators 72618d1 [1,1,0,-58188,-5433084] 1 [336:3450:1]&[363:4449:1]
72618e (2 curves)	2	2+ 3+ 7- 13+ 19+	2+ 3+  2 7- -6 13+ -6 19+
Curve Equation t Generators 72618e1 [1,1,0,-6234,194580] 2 [-386:5163:8]&[20:270:1] 72618e2 [1,1,0,-100874,12289572] 2 [23080:-16454:125]&[-1282:40135:8]
72618f (2 curves)	0	2+ 3+ 7- 13+ 19+	2+ 3+ -2 7-  0 13+ -2 19+
Curve Equation t 72618f1 [1,1,0,-85971,8484141] 2 72618f2 [1,1,0,133549,44968365] 2
72618g (2 curves)	0	2+ 3+ 7- 13+ 19+	2+ 3+  3 7- -3 13+  0 19+
Curve Equation t 72618g1 [1,1,0,-2111631,-1211560587] 1 72618g2 [1,1,0,9577074,-4693361868] 1
72618h (2 curves)	0	2+ 3+ 7- 13+ 19+	2+ 3+ -3 7-  0 13+  6 19+
Curve Equation t 72618h1 [1,1,0,416,102544] 1 72618h2 [1,1,0,-153199,23019109] 1
72618i (2 curves)	0	2+ 3+ 7- 13+ 19+	2+ 3+ -4 7-  4 13+ -2 19+
Curve Equation t 72618i1 [1,1,0,-37167,-1736475] 2 72618i2 [1,1,0,111793,-12014715] 2
72618j (2 curves)	1	2+ 3+ 7- 13+ 19-	2+ 3+  0 7-  4 13+ -6 19-
Curve Equation t Generators 72618j1 [1,1,0,-558625,158040373] 2 [47130:113011:125] 72618j2 [1,1,0,-8900385,10216534581] 2 [1554:11103:1]
72618k (4 curves)	1	2+ 3+ 7- 13+ 19-	2+ 3+  2 7-  0 13+  6 19-
Curve Equation t Generators 72618k1 [1,1,0,-7235659,7486283197] 2 [8301:716615:1] 72618k2 [1,1,0,-8239179,5273923005] 4 [248183923:21252999001:29791] 72618k3 [1,1,0,26052981,37858333437] 2 [16122:6244535:27] 72618k4 [1,1,0,-58587659,-168881469315] 2 [98345354359335:-5013038998865180:9786611619]
72618l (2 curves)	1	2+ 3+ 7- 13- 19+	2+ 3+  0 7- -4 13-  2 19+
Curve Equation t Generators 72618l1 [1,1,0,-1670,-15084] 2 [-20:114:1] 72618l2 [1,1,0,-12310,510532] 2 [-56:1042:1]
72618m (1 curve)	0	2+ 3+ 7- 13- 19-	2+ 3+  0 7-  5 13- -2 19-
Curve Equation t 72618m1 [1,1,0,-25,1261] 1
72618n (4 curves)	0	2+ 3+ 7- 13- 19-	2+ 3+  2 7-  0 13- -2 19-
Curve Equation t 72618n1 [1,1,0,-51627699,142760047725] 2 72618n2 [1,1,0,-51878579,141302184045] 4 72618n3 [1,1,0,1895981,420058748173] 2 72618n4 [1,1,0,-109667219,-230752638003] 2
72618o (2 curves)	0	2+ 3+ 7- 13- 19-	2+ 3+  2 7-  2 13-  8 19-
Curve Equation t 72618o1 [1,1,0,-285744,-58510080] 2 72618o2 [1,1,0,-97584,-134188032] 2
72618p (1 curve)	0	2+ 3+ 7- 13- 19-	2+ 3+  2 7-  3 13-  2 19-
Curve Equation t 72618p1 [1,1,0,906,-266202] 1
72618q (2 curves)	0	2+ 3+ 7- 13- 19-	2+ 3+  2 7-  4 13-  2 19-
Curve Equation t 72618q1 [1,1,0,-45259,434365] 2 72618q2 [1,1,0,-529099,147618493] 2
72618r (2 curves)	0	2+ 3+ 7- 13- 19-	2+ 3+ -2 7-  2 13- -4 19-
Curve Equation t 72618r1 [1,1,0,-12226,236020] 2 72618r2 [1,1,0,42654,1827540] 2
72618s (1 curve)	0	2+ 3+ 7- 13- 19-	2+ 3+ -2 7-  5 13-  0 19-
Curve Equation t 72618s1 [1,1,0,-116,624] 1
72618t (1 curve)	0	2+ 3- 7+ 13+ 19+	2+ 3-  2 7+  5 13+  0 19+
Curve Equation t 72618t1 [1,0,1,-5710,-231136] 1
72618u (1 curve)	0	2+ 3- 7+ 13+ 19+	2+ 3- -2 7+  3 13+ -2 19+
Curve Equation t 72618u1 [1,0,1,44368,91440416] 1
72618v (1 curve)	1	2+ 3- 7- 13+ 19+	2+ 3-  1 7-  1 13+  2 19+
Curve Equation t Generators 72618v1 [1,0,1,-3559533,4571956120] 1 [13991:1634202:1]
72618w (1 curve)	1	2+ 3- 7- 13+ 19+	2+ 3- -1 7-  3 13+ -2 19+
Curve Equation t Generators 72618w1 [1,0,1,-5309554,-4810018300] 1 [614105:-37322171:125]
72618x (2 curves)	1	2+ 3- 7- 13+ 19+	2+ 3-  2 7-  2 13+  4 19+
Curve Equation t Generators 72618x1 [1,0,1,-250,-724] 2 [22:56:1] 72618x2 [1,0,1,870,-5204] 2 [20:132:1]
72618y (2 curves)	1	2+ 3- 7- 13+ 19+	2+ 3- -2 7-  4 13+ -2 19+
Curve Equation t Generators 72618y1 [1,0,1,-2217717,-155640320] 2 [-352:24288:1] 72618y2 [1,0,1,-25925877,-50710920704] 2 [-45013600:153886071:15625]
72618z (2 curves)	1	2+ 3- 7- 13+ 19+	2+ 3- -4 7-  0 13+ -2 19+
Curve Equation t Generators 72618z1 [1,0,1,-1888,-5638] 2 [-17:155:1] 72618z2 [1,0,1,7422,-42878] 2 [74:-993:1]
72618ba (2 curves)	0	2+ 3- 7- 13+ 19-	2+ 3-  0 7- -4 13+ -2 19-
Curve Equation t 72618ba1 [1,0,1,-81856,4928270] 2 72618ba2 [1,0,1,-603216,-176922098] 2
72618bb (2 curves)	0	2+ 3- 7- 13+ 19-	2+ 3- -2 7-  2 13+ -8 19-
Curve Equation t 72618bb1 [1,0,1,-3538757,-2562473476] 2 72618bb2 [1,0,1,-3370687,-2816797000] 2
72618bc (1 curve)	0	2+ 3- 7- 13- 19+	2+ 3-  0 7- -3 13-  2 19+
Curve Equation t 72618bc1 [1,0,1,-646581,-240886208] 1
72618bd (2 curves)	0	2+ 3- 7- 13- 19+	2+ 3-  0 7-  4 13-  6 19+
Curve Equation t 72618bd1 [1,0,1,-11401,-462388] 2 72618bd2 [1,0,1,-181641,-29811764] 2
72618be (1 curve)	0	2+ 3- 7- 13- 19+	2+ 3-  3 7-  0 13-  2 19+
Curve Equation t 72618be1 [1,0,1,580918,-388651588] 1
72618bf (1 curve)	1	2+ 3- 7- 13- 19-	2+ 3-  1 7-  3 13-  0 19-
Curve Equation t Generators 72618bf1 [1,0,1,-1188,15670] 1 [11:-69:1]
72618bg (2 curves)	1	2+ 3- 7- 13- 19-	2+ 3-  2 7-  0 13-  2 19-
Curve Equation t Generators 72618bg1 [1,0,1,-1755,-24986] 2 [1416:3791:27] 72618bg2 [1,0,1,2725,-130714] 2 [162:2056:1]
72618bh (2 curves)	1	2+ 3- 7- 13- 19-	2+ 3-  2 7-  2 13-  0 19-
Curve Equation t Generators 72618bh1 [1,0,1,-84845,-9456856] 2 [1068:32908:1] 72618bh2 [1,0,1,-29965,-21508504] 2 [382:4586:1]
72618bi (2 curves)	1	2+ 3- 7- 13- 19-	2+ 3- -2 7- -6 13-  6 19-
Curve Equation t Generators 72618bi1 [1,0,1,-305492,-67657390] 2 [984:23689:1] 72618bi2 [1,0,1,-4942852,-4230151726] 2 [-1283:719:1]
72618bj (1 curve)	1	2- 3+ 7+ 13+ 19-	2- 3+  3 7+  1 13+ -2 19-
Curve Equation t Generators 72618bj1 [1,1,1,14356,-45234547] 1 [813:-22871:1]
72618bk (6 curves)	1	2- 3+ 7- 13+ 19+	2- 3+  0 7-  0 13+ -6 19+
Curve Equation t Generators 72618bk1 [1,1,1,-1669578,-802761513] 2 [-855:1211:1] 72618bk2 [1,1,1,713782,-2905838377] 2 [1273:7595:1] 72618bk3 [1,1,1,-19874058,33848069079] 2 [-5013:89285:1] 72618bk4 [1,1,1,-6430418,78900395447] 2 [-56575975:-1079316203:12167] 72618bk5 [1,1,1,-1606577358,24784995655335] 2 [-262879956795:-42180148333995:7189057] 72618bk6 [1,1,1,-1606568048,24785297284439] 2 [-526359284426793008630804:-84456584634687641132705095:14394517450105613248]
72618bl (3 curves)	1	2- 3+ 7- 13+ 19+	2- 3+  3 7- -6 13+  0 19+
Curve Equation t Generators 72618bl1 [1,1,1,634451,-144034717] 1 [1303:53172:1] 72618bl2 [1,1,1,-6562669,8720954339] 1 [22000259:629406036:12167] 72618bl3 [1,1,1,-581429689,5396031037403] 1 [833063184055621314017824841:-376590946992721284555316662:59831447035786166099087]
72618bm (2 curves)	0	2- 3+ 7- 13+ 19-	2- 3+  0 7- -4 13+ -6 19-
Curve Equation t 72618bm1 [1,1,1,-37493,-2809717] 2 72618bm2 [1,1,1,-40153,-2391565] 2
72618bn (1 curve)	0	2- 3+ 7- 13+ 19-	2- 3+ -1 7-  3 13+  0 19-
Curve Equation t 72618bn1 [1,1,1,-9101,-337975] 1
72618bo (4 curves)	0	2- 3+ 7- 13+ 19-	2- 3+  2 7-  0 13+ -6 19-
Curve Equation t 72618bo1 [1,1,1,-192277,31369211] 2 72618bo2 [1,1,1,-3049957,2048891291] 4 72618bo3 [1,1,1,-3023497,2086221059] 2 72618bo4 [1,1,1,-48799297,131190128243] 2
72618bp (6 curves)	0	2- 3+ 7- 13+ 19-	2- 3+  2 7-  4 13+ -2 19-
Curve Equation t 72618bp1 [1,1,1,-1912,-202567] 2 72618bp2 [1,1,1,-64632,-6324039] 4 72618bp3 [1,1,1,-99912,1296441] 4 72618bp4 [1,1,1,-1032872,-404464327] 2 72618bp5 [1,1,1,396948,10836153] 2 72618bp6 [1,1,1,-1161252,480173049] 2
72618bq (1 curve)	0	2- 3+ 7- 13+ 19-	2- 3+ -2 7-  0 13+ -2 19-
Curve Equation t 72618bq1 [1,1,1,-449,-3865] 1
72618br (1 curve)	0	2- 3+ 7- 13+ 19-	2- 3+ -4 7-  1 13+ -2 19-
Curve Equation t 72618br1 [1,1,1,-3725,86141] 1
72618bs (1 curve)	0	2- 3+ 7- 13- 19+	2- 3+  3 7- -5 13-  8 19+
Curve Equation t 72618bs1 [1,1,1,-357799,-163363747] 1
72618bt (1 curve)	1	2- 3+ 7- 13- 19-	2- 3+ -1 7-  3 13-  0 19-
Curve Equation t Generators 72618bt1 [1,1,1,-806,19235] 1 [69:-581:1]
72618bu (2 curves)	1	2- 3+ 7- 13- 19-	2- 3+  2 7-  0 13-  2 19-
Curve Equation t Generators 72618bu1 [1,1,1,-162,-309] 2 [-140:443:64] 72618bu2 [1,1,1,-2052,-36597] 2 [595190:14194383:1000]
72618bv (2 curves)	1	2- 3+ 7- 13- 19-	2- 3+  2 7-  0 13-  6 19-
Curve Equation t Generators 72618bv1 [1,1,1,-17002217,-26991091597] 2 [2867548396178112:-136121856558479975:487815118848] 72618bv2 [1,1,1,-16998787,-27002521729] 2 [4444868630:328573739361:551368]
72618bw (1 curve)	1	2- 3+ 7- 13- 19-	2- 3+  3 7-  2 13-  4 19-
Curve Equation t Generators 72618bw1 [1,1,1,-9899,-395431] 1 [22105:220166:125]
72618bx (1 curve)	2	2- 3- 7+ 13+ 19-	2- 3- -3 7+ -5 13+ -8 19-
Curve Equation t Generators 72618bx1 [1,0,0,-7302,475236] 1 [1572:61458:1]&[-100:506:1]
72618by (1 curve)	0	2- 3- 7+ 13- 19+	2- 3-  1 7+  3 13-  0 19+
Curve Equation t 72618by1 [1,0,0,-445950,114587514] 1
72618bz (1 curve)	0	2- 3- 7+ 13- 19+	2- 3-  2 7+  0 13-  2 19+
Curve Equation t 72618bz1 [1,0,0,-22002,1259628] 1
72618ca (1 curve)	0	2- 3- 7- 13+ 19+	2- 3-  1 7-  3 13+  0 19+
Curve Equation t 72618ca1 [1,0,0,-39495,-6716151] 1
72618cb (2 curves)	0	2- 3- 7- 13+ 19+	2- 3- -2 7-  0 13+ -2 19+
Curve Equation t 72618cb1 [1,0,0,-7939,82109] 2 72618cb2 [1,0,0,-100549,12251063] 2
72618cc (2 curves)	0	2- 3- 7- 13+ 19+	2- 3- -2 7-  0 13+ -6 19+
Curve Equation t 72618cc1 [1,0,0,-346984,78641660] 2 72618cc2 [1,0,0,-346914,78674994] 2
72618cd (2 curves)	0	2- 3- 7- 13+ 19+	2- 3- -2 7-  6 13+  0 19+
Curve Equation t 72618cd1 [1,0,0,-1569,22329] 2 72618cd2 [1,0,0,1371,97005] 2
72618ce (1 curve)	1	2- 3- 7- 13+ 19-	2- 3-  1 7-  2 13+  0 19-
Curve Equation t Generators 72618ce1 [1,0,0,-295,35069] 1 [-34:95:1]
72618cf (1 curve)	1	2- 3- 7- 13+ 19-	2- 3- -3 7- -5 13+  0 19-
Curve Equation t Generators 72618cf1 [1,0,0,17198,194564] 1 [284:-5434:1]
72618cg (2 curves)	1	2- 3- 7- 13- 19+	2- 3-  0 7- -4 13-  6 19+
Curve Equation t Generators 72618cg1 [1,0,0,-1837158,958221396] 2 [102:27732:1] 72618cg2 [1,0,0,-1967498,814404240] 2 [64:26212:1]
72618ch (1 curve)	1	2- 3- 7- 13- 19+	2- 3-  1 7- -2 13-  0 19+
Curve Equation t Generators 72618ch1 [1,0,0,930,-9276] 1 [20:122:1]
72618ci (4 curves)	1	2- 3- 7- 13- 19+	2- 3- -2 7-  4 13- -6 19+
Curve Equation t Generators 72618ci1 [1,0,0,-87074,9880884] 4 [-20:3418:1] 72618ci2 [1,0,0,-95894,7755264] 4 [-1868:208609:64] 72618ci3 [1,0,0,267196,52560570] 2 [590486100:-20698926909:1000000] 72618ci4 [1,0,0,-600104,-173054442] 2 [41649055887450:-409030819094403:44738875000]
72618cj (1 curve)	1	2- 3- 7- 13- 19+	2- 3- -3 7-  1 13-  2 19+
Curve Equation t Generators 72618cj1 [1,0,0,293,131921] 1 [62:593:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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