Cremona's table of elliptic curves

89670 = 2 · 3 · 5 · 7² · 61

Class	r	Atkin-Lehner	Eigenvalues
89670a (4 curves)	0	2+ 3+ 5+ 7- 61+	2+ 3+ 5+ 7-  0  4  0 -2
Curve Equation t 89670a1 [1,1,0,-544023,-152666667] 2 89670a2 [1,1,0,-54023,-416972667] 2 89670a3 [1,1,0,-4531398,3636805908] 2 89670a4 [1,1,0,486202,11256533268] 2
89670b (2 curves)	0	2+ 3+ 5+ 7- 61+	2+ 3+ 5+ 7-  0  6  0 -8
Curve Equation t 89670b1 [1,1,0,-4722988,3936128092] 2 89670b2 [1,1,0,-2579238,7527766842] 2
89670c (2 curves)	0	2+ 3+ 5+ 7- 61+	2+ 3+ 5+ 7-  2  2  0  4
Curve Equation t 89670c1 [1,1,0,-3531063,-2552976747] 2 89670c2 [1,1,0,-2652983,-3852710763] 2
89670d (2 curves)	0	2+ 3+ 5+ 7- 61+	2+ 3+ 5+ 7-  3 -2  0  7
Curve Equation t 89670d1 [1,1,0,-134229966308,18928726452612012] 1 89670d2 [1,1,0,-10872629655983,13799071469488234917] 1
89670e (2 curves)	0	2+ 3+ 5+ 7- 61+	2+ 3+ 5+ 7- -4 -2  0  0
Curve Equation t 89670e1 [1,1,0,-29033,-1797627] 2 89670e2 [1,1,0,25847,-7735643] 2
89670f (2 curves)	1	2+ 3+ 5+ 7- 61-	2+ 3+ 5+ 7-  0  2  0 -2
Curve Equation t Generators 89670f1 [1,1,0,-8427388,-9428190512] 2 [56278649842103977764629:-130651065655784470852927:16782190674005314277] 89670f2 [1,1,0,-134870908,-602928784688] 2 [-1798511224459573:899043936112424:268211336849]
89670g (1 curve)	1	2+ 3+ 5+ 7- 61-	2+ 3+ 5+ 7-  2  1  1 -3
Curve Equation t Generators 89670g1 [1,1,0,-15803,1946757] 1 [83:1061:1]
89670h (2 curves)	1	2+ 3+ 5+ 7- 61-	2+ 3+ 5+ 7-  2  2  6  4
Curve Equation t Generators 89670h1 [1,1,0,-4778,-1691052] 2 [233548:5935154:343] 89670h2 [1,1,0,-243898,-46119548] 2 [2736:139262:1]
89670i (4 curves)	1	2+ 3+ 5+ 7- 61-	2+ 3+ 5+ 7-  4 -6  2  4
Curve Equation t Generators 89670i1 [1,1,0,1592,13168] 2 [1:121:1] 89670i2 [1,1,0,-7228,103132] 4 [-71:550:1] 89670i3 [1,1,0,-58678,-5422598] 2 [-141:340:1] 89670i4 [1,1,0,-96898,11562958] 2 [189:118:1]
89670j (1 curve)	1	2+ 3+ 5+ 7- 61-	2+ 3+ 5+ 7- -4  5 -3 -5
Curve Equation t Generators 89670j1 [1,1,0,1592,-17702] 1 [13:67:1]
89670k (1 curve)	1	2+ 3+ 5+ 7- 61-	2+ 3+ 5+ 7- -5  3  2  1
Curve Equation t Generators 89670k1 [1,1,0,-85890788,306349564368] 1 [5351:-2587:1]
89670l (2 curves)	1	2+ 3+ 5- 7- 61+	2+ 3+ 5- 7-  0 -2  0 -6
Curve Equation t Generators 89670l1 [1,1,0,3,-279] 2 [15:51:1] 89670l2 [1,1,0,-627,-6201] 2 [-15:18:1]
89670m (2 curves)	1	2+ 3+ 5- 7- 61+	2+ 3+ 5- 7-  0  7 -3  7
Curve Equation t Generators 89670m1 [1,1,0,-32022,-2219076] 1 [188595:7180218:125] 89670m2 [1,1,0,-3357,-5968899] 1 [237:2454:1]
89670n (1 curve)	1	2+ 3+ 5- 7- 61+	2+ 3+ 5- 7-  3  7 -6  6
Curve Equation t Generators 89670n1 [1,1,0,-235862,44238804] 1 [363:2391:1]
89670o (2 curves)	1	2+ 3+ 5- 7- 61+	2+ 3+ 5- 7- -4  4  0 -6
Curve Equation t Generators 89670o1 [1,1,0,-932397,345546909] 2 [-587:26581:1] 89670o2 [1,1,0,-618797,582064029] 2 [26958:823441:27]
89670p (1 curve)	0	2+ 3+ 5- 7- 61-	2+ 3+ 5- 7- -3  0 -2 -3
Curve Equation t 89670p1 [1,1,0,-137,-699] 1
89670q (1 curve)	0	2+ 3- 5+ 7+ 61+	2+ 3- 5+ 7+ -3  0  2  3
Curve Equation t 89670q1 [1,0,1,-6739,219566] 1
89670r (4 curves)	1	2+ 3- 5+ 7- 61+	2+ 3- 5+ 7- -4 -6  2 -4
Curve Equation t Generators 89670r1 [1,0,1,-1046519,131635802] 2 [-57:13852:1] 89670r2 [1,0,1,-13339639,18733584986] 4 [103:131708:1] 89670r3 [1,0,1,-9991959,28365529882] 2 [446:154689:1] 89670r4 [1,0,1,-213377239,1199675560346] 2 [8446:-2239:1]
89670s (2 curves)	1	2+ 3- 5+ 7- 61+	2+ 3- 5+ 7- -6 -2 -6 -4
Curve Equation t Generators 89670s1 [1,0,1,-2574,48556] 2 [11:141:1] 89670s2 [1,0,1,856,169292] 2 [-24:379:1]
89670t (2 curves)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  0  2  0  6
Curve Equation t 89670t1 [1,0,1,121,96086] 2 89670t2 [1,0,1,-30749,2034722] 2
89670u (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  2 -5 -6  6
Curve Equation t 89670u1 [1,0,1,-117234,-15520508] 1
89670v (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7-  3 -7  6 -6
Curve Equation t 89670v1 [1,0,1,-4814,-129664] 1
89670w (1 curve)	0	2+ 3- 5+ 7- 61-	2+ 3- 5+ 7- -4  1 -3  3
Curve Equation t 89670w1 [1,0,1,-68234,8488316] 1
89670x (1 curve)	1	2+ 3- 5- 7+ 61+	2+ 3- 5- 7+ -5 -3 -2 -1
Curve Equation t Generators 89670x1 [1,0,1,-4208648638,-105090526524112] 1 [46269114:20265300635:216]
89670y (2 curves)	0	2+ 3- 5- 7+ 61-	2+ 3- 5- 7+  3  2  0 -7
Curve Equation t 89670y1 [1,0,1,-2739387068,-55186182748042] 3 89670y2 [1,0,1,-221890401143,-40230560764192102] 1
89670z (2 curves)	0	2+ 3- 5- 7- 61+	2+ 3- 5- 7-  0 -2  0  2
Curve Equation t 89670z1 [1,0,1,-171988,27462866] 2 89670z2 [1,0,1,-2752468,1757416658] 2
89670ba (2 curves)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7-  0  4  4 -6
Curve Equation t Generators 89670ba1 [1,0,1,-4947962108,-85248886269382] 2 [-21636:3428005:1] 89670ba2 [1,0,1,14652037892,-593186806269382] 2 [40849:8552615:1]
89670bb (2 curves)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7-  0 -6  0  8
Curve Equation t Generators 89670bb1 [1,0,1,-96388,-11489362] 2 [459:6175:1] 89670bb2 [1,0,1,-52638,-21954362] 2 [3224:180930:1]
89670bc (2 curves)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7-  2 -2  0 -4
Curve Equation t Generators 89670bc1 [1,0,1,-72063,7432786] 2 [176:369:1] 89670bc2 [1,0,1,-54143,11224658] 2 [18:3193:1]
89670bd (1 curve)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7-  3 -5 -8  0
Curve Equation t Generators 89670bd1 [1,0,1,-318245373,3288258116056] 1 [-19750:1377342:1]
89670be (2 curves)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7- -4  2  0  0
Curve Equation t Generators 89670be1 [1,0,1,-593,5156] 2 [20:27:1] 89670be2 [1,0,1,527,22628] 2 [4:155:1]
89670bf (1 curve)	2	2- 3+ 5+ 7+ 61+	2- 3+ 5+ 7+  3 -5 -6 -1
Curve Equation t Generators 89670bf1 [1,1,1,1469,3233] 1 [-1:42:1]&[139:1638:1]
89670bg (1 curve)	1	2- 3+ 5+ 7+ 61-	2- 3+ 5+ 7+ -5 -6 -4  5
Curve Equation t Generators 89670bg1 [1,1,1,-165376,-323142751] 1 [853:12117:1]
89670bh (4 curves)	1	2- 3+ 5+ 7- 61+	2- 3+ 5+ 7-  0 -6 -2 -4
Curve Equation t Generators 89670bh1 [1,1,1,-28421,-1784581] 2 [237:2086:1] 89670bh2 [1,1,1,-76441,5764163] 4 [-1786:28329:8] 89670bh3 [1,1,1,201389,38325839] 2 [-41810:5482533:1000] 89670bh4 [1,1,1,-1122591,457282503] 2 [17734:744489:8]
89670bi (1 curve)	1	2- 3+ 5+ 7- 61+	2- 3+ 5+ 7-  5  2  4 -1
Curve Equation t Generators 89670bi1 [1,1,1,-2007286,1618730483] 1 [1897:67183:1]
89670bj (1 curve)	1	2- 3+ 5+ 7- 61+	2- 3+ 5+ 7- -6  5  3  5
Curve Equation t Generators 89670bj1 [1,1,1,-428996,-120539707] 1 [2589:125713:1]
89670bk (2 curves)	0	2- 3+ 5+ 7- 61-	2- 3+ 5+ 7-  0  0 -4  6
Curve Equation t 89670bk1 [1,1,1,-981,-981] 2 89670bk2 [1,1,1,3919,-2941] 2
89670bl (2 curves)	0	2- 3+ 5+ 7- 61-	2- 3+ 5+ 7-  0 -2 -8  4
Curve Equation t 89670bl1 [1,1,1,-83056,5396369] 2 89670bl2 [1,1,1,259944,38873169] 2
89670bm (1 curve)	0	2- 3+ 5- 7- 61+	2- 3+ 5- 7-  1  5  0  4
Curve Equation t 89670bm1 [1,1,1,-22590,-2487045] 1
89670bn (1 curve)	2	2- 3+ 5- 7- 61+	2- 3+ 5- 7- -5 -3 -6 -3
Curve Equation t Generators 89670bn1 [1,1,1,-59340,5809005] 1 [673:16133:1]&[-137:3443:1]
89670bo (2 curves)	0	2- 3+ 5- 7- 61+	2- 3+ 5- 7-  6  1  6 -2
Curve Equation t 89670bo1 [1,1,1,1665,22245] 1 89670bo2 [1,1,1,-39495,3035157] 1
89670bp (1 curve)	1	2- 3+ 5- 7- 61-	2- 3+ 5- 7- -2 -1  3  5
Curve Equation t Generators 89670bp1 [1,1,1,930,-26853] 1 [55:-469:1]
89670bq (1 curve)	1	2- 3+ 5- 7- 61-	2- 3+ 5- 7-  3 -4 -2  5
Curve Equation t Generators 89670bq1 [1,1,1,90,15315] 1 [3:-127:1]
89670br (4 curves)	1	2- 3+ 5- 7- 61-	2- 3+ 5- 7-  4  2 -6  8
Curve Equation t Generators 89670br1 [1,1,1,-65710,6442715] 4 [1134:-241:8] 89670br2 [1,1,1,-90210,1170315] 4 [-63462:367673:216] 89670br3 [1,1,1,358140,9778635] 2 [-34440378:68132449975:22425768] 89670br4 [1,1,1,-930560,-344381605] 2 [123844443593508:14558099361526525:8844058432]
89670bs (2 curves)	1	2- 3+ 5- 7- 61-	2- 3+ 5- 7- -4  0  6 -2
Curve Equation t Generators 89670bs1 [1,1,1,-2185,38387] 2 [-29:294:1] 89670bs2 [1,1,1,-2535,24807] 2 [-242:2307:8]
89670bt (4 curves)	1	2- 3+ 5- 7- 61-	2- 3+ 5- 7- -4 -2 -2  0
Curve Equation t Generators 89670bt1 [1,1,1,131760,8995086897] 4 [-2003:27461:1] 89670bt2 [1,1,1,-64093520,194066653745] 4 [1973:-275387:1] 89670bt3 [1,1,1,-135218000,-314729426383] 2 [-6483:541261:1] 89670bt4 [1,1,1,-1020573520,12548727517745] 2 [19053:134533:1]
89670bu (2 curves)	1	2- 3+ 5- 7- 61-	2- 3+ 5- 7- -4 -4  2 -6
Curve Equation t Generators 89670bu1 [1,1,1,-89526480,121244437425] 2 [-8457:527303:1] 89670bu2 [1,1,1,-775526480,-8228198762575] 2 [-16457:287303:1]
89670bv (1 curve)	1	2- 3- 5+ 7+ 61+	2- 3- 5+ 7+  3  4  2 -5
Curve Equation t Generators 89670bv1 [1,0,0,4409,-5239879] 1 [200:1811:1]
89670bw (1 curve)	0	2- 3- 5+ 7+ 61-	2- 3- 5+ 7+ -5  3  6  3
Curve Equation t 89670bw1 [1,0,0,-2907661,-2001211759] 1
89670bx (1 curve)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  2 -1 -2  2
Curve Equation t 89670bx1 [1,0,0,-1226,35706] 1
89670by (1 curve)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7- -2 -3  3 -7
Curve Equation t 89670by1 [1,0,0,280565914,86598294477540] 1
89670bz (2 curves)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7- -2  6 -2  4
Curve Equation t 89670bz1 [1,0,0,-66396,-6519024] 2 89670bz2 [1,0,0,-11516,-16957200] 2
89670ca (4 curves)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  4  6 -6  8
Curve Equation t 89670ca1 [1,0,0,-105841,12694121] 2 89670ca2 [1,0,0,-1673841,833385321] 4 89670ca3 [1,0,0,-1654241,853859481] 2 89670ca4 [1,0,0,-26781441,53343419961] 2
89670cb (6 curves)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  4 -6  6  4
Curve Equation t 89670cb1 [1,0,0,-184963976,-968137283520] 2 89670cb2 [1,0,0,-201020296,-790108018624] 4 89670cb3 [1,0,0,522078584,-5179462840000] 2 89670cb4 [1,0,0,-1181020296,14993183981376] 4 89670cb5 [1,0,0,642269704,57101337215376] 2 89670cb6 [1,0,0,-18684310296,983019638747376] 2
89670cc (2 curves)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7- -4  0 -6  2
Curve Equation t 89670cc1 [1,0,0,-107066,-13488000] 2 89670cc2 [1,0,0,-124216,-8881510] 2
89670cd (6 curves)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7- -4  2 -2 -4
Curve Equation t 89670cd1 [1,0,0,354024,1275003456] 2 89670cd2 [1,0,0,-15702296,23211147840] 4 89670cd3 [1,0,0,-39222296,-62669780160] 2 89670cd4 [1,0,0,-249083416,1513069541696] 4 89670cd5 [1,0,0,-246931336,1540499522960] 2 89670cd6 [1,0,0,-3985333416,96837510291696] 2
89670ce (2 curves)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7- -4  4 -2  6
Curve Equation t 89670ce1 [1,0,0,-1827071,-353743335] 2 89670ce2 [1,0,0,-15827071,23986656665] 2
89670cf (1 curve)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  5 -3 -4  0
Curve Equation t 89670cf1 [1,0,0,489,-309] 1
89670cg (1 curve)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  6 -3  3  1
Curve Equation t 89670cg1 [1,0,0,-1226,-297690] 1
89670ch (1 curve)	1	2- 3- 5+ 7- 61-	2- 3- 5+ 7-  1 -1  4 -8
Curve Equation t Generators 89670ch1 [1,0,0,-26554571,-56790880749] 1 [124478:14464301:8]
89670ci (1 curve)	1	2- 3- 5- 7+ 61-	2- 3- 5- 7+  5 -2 -4  1
Curve Equation t Generators 89670ci1 [1,0,0,-40965,-4725183] 1 [314:3503:1]
89670cj (2 curves)	1	2- 3- 5- 7- 61+	2- 3- 5- 7-  0  2  8 -4
Curve Equation t Generators 89670cj1 [1,0,0,-1695,-15975] 2 [-30:105:1] 89670cj2 [1,0,0,5305,-112575] 2 [40:385:1]
89670ck (1 curve)	1	2- 3- 5- 7- 61+	2- 3- 5- 7-  1 -3  0  4
Curve Equation t Generators 89670ck1 [1,0,0,87170,2165078852] 1 [284:-47182:1]
89670cl (1 curve)	1	2- 3- 5- 7- 61+	2- 3- 5- 7- -5  6  4 -5
Curve Equation t Generators 89670cl1 [1,0,0,-3375,941625] 1 [-90:765:1]
89670cm (2 curves)	0	2- 3- 5- 7- 61-	2- 3- 5- 7-  2  6 -6 -4
Curve Equation t 89670cm1 [1,0,0,5585,-354775] 2 89670cm2 [1,0,0,-54195,-4216563] 2
89670cn (2 curves)	0	2- 3- 5- 7- 61-	2- 3- 5- 7-  2 -6  6 -4
Curve Equation t 89670cn1 [1,0,0,-2031590,1114272480] 2 89670cn2 [1,0,0,-1863520,1306309262] 2
89670co (1 curve)	0	2- 3- 5- 7- 61-	2- 3- 5- 7-  3  5  6  1
Curve Equation t 89670co1 [1,0,0,71980,-893040] 1
89670cp (1 curve)	0	2- 3- 5- 7- 61-	2- 3- 5- 7- -3 -1  0  4
Curve Equation t 89670cp1 [1,0,0,-1637140,-1860415600] 1
89670cq (2 curves)	0	2- 3- 5- 7- 61-	2- 3- 5- 7-  6  2  6  4
Curve Equation t 89670cq1 [1,0,0,-15761390,-24085938108] 2 89670cq2 [1,0,0,-15747670,-24129960100] 2

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