Cremona's table of elliptic curves

60690 = 2 · 3 · 5 · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
60690a (8 curves)	1	2+ 3+ 5+ 7+ 17+	2+ 3+ 5+ 7+  0  2 17+  8
Curve Equation t Generators 60690a1 [1,1,0,-143783,20917173] 2 [2158:97745:1] 60690a2 [1,1,0,-166903,13708357] 4 [-398:4357:1] 60690a3 [1,1,0,-425558,-81384492] 2 [15459881014052:679737087219310:7066834559] 60690a4 [1,1,0,555597,101419857] 2 [-132363:-8881929:1331] 60690a5 [1,1,0,-1259323,-534904967] 2 [-687:2912:1] 60690a6 [1,1,0,-6344278,-6152807468] 4 [-25539306:568651:17576] 60690a7 [1,1,0,-5881878,-7087132908] 2 [540433279787148:-38548983634186581:87765160384] 60690a8 [1,1,0,-101506198,-393671178092] 2 [7014059452884:197183669951533:584277056]
60690b (4 curves)	1	2+ 3+ 5+ 7+ 17+	2+ 3+ 5+ 7+  0 -4 17+  2
Curve Equation t Generators 60690b1 [1,1,0,-5201283,4565724237] 2 [1497:10956:1] 60690b2 [1,1,0,-83231283,292231122237] 2 [4999:30880:1] 60690b3 [1,1,0,4227342,18555397812] 2 [-16074:361773:8] 60690b4 [1,1,0,-84553458,282465203892] 2 [32989362:-12886078529:216]
60690c (4 curves)	1	2+ 3+ 5+ 7+ 17+	2+ 3+ 5+ 7+  0 -6 17+  0
Curve Equation t Generators 60690c1 [1,1,0,-14823538,21960881332] 2 [1910255820:-915800806:857375] 60690c2 [1,1,0,-15193458,20806656948] 4 [-4453:15954:1] 60690c3 [1,1,0,18214942,99603709188] 2 [1305226045:-4218332870012:125] 60690c4 [1,1,0,-54520578,-131853357468] 2 [-692705:-1111033:125]
60690d (2 curves)	1	2+ 3+ 5+ 7+ 17+	2+ 3+ 5+ 7+ -4  4 17+ -6
Curve Equation t Generators 60690d1 [1,1,0,-5063,-209883] 2 [137:1232:1] 60690d2 [1,1,0,-91763,-10735263] 2 [477:7131:1]
60690e (2 curves)	1	2+ 3+ 5+ 7+ 17+	2+ 3+ 5+ 7+  6  0 17+ -6
Curve Equation t Generators 60690e1 [1,1,0,636517,1408196937] 2 [748:47621:1] 60690e2 [1,1,0,-15619733,22648613187] 2 [5441:311567:1]
60690f (2 curves)	0	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7-  2  4 17+ -8
Curve Equation t 60690f1 [1,1,0,-760798,322406308] 2 60690f2 [1,1,0,-13043298,18124661808] 2
60690g (2 curves)	0	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7- -2  2 17+  6
Curve Equation t 60690g1 [1,1,0,-898,-97292] 2 60690g2 [1,1,0,-37618,-2807228] 2
60690h (2 curves)	2	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7- -2 -6 17+ -4
Curve Equation t Generators 60690h1 [1,1,0,-25293,1687113] 2 [-51:1713:1]&[-16:1453:1] 60690h2 [1,1,0,-415443,102892023] 2 [341:841:1]&[527:5274:1]
60690i (2 curves)	0	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7-  4 -4 17+  0
Curve Equation t 60690i1 [1,1,0,-146673,28633473] 2 60690i2 [1,1,0,-2554043,1569831747] 2
60690j (4 curves)	0	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7-  4  6 17+ -4
Curve Equation t 60690j1 [1,1,0,3802512,-13913457408] 2 60690j2 [1,1,0,-68701808,-205629380352] 4 60690j3 [1,1,0,-217270928,985627537632] 2 60690j4 [1,1,0,-1080201808,-13665255280352] 2
60690k (1 curve)	0	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7- -6  0 17+ -2
Curve Equation t 60690k1 [1,1,0,-15178,713812] 1
60690l (2 curves)	0	2+ 3+ 5+ 7- 17+	2+ 3+ 5+ 7- -6 -4 17+  0
Curve Equation t 60690l1 [1,1,0,-7417573,-7813643123] 2 60690l2 [1,1,0,-118828773,-498624543603] 2
60690m (4 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  0 -4 17+  2
Curve Equation t 60690m1 [1,1,0,155043,-2797011] 2 60690m2 [1,1,0,-625257,-23240871] 2 60690m3 [1,1,0,-2276892,-1392493104] 2 60690m4 [1,1,0,-36956892,-86490277104] 2
60690n (2 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  2 -4 17+  0
Curve Equation t 60690n1 [1,1,0,54815058,221034882996] 2 60690n2 [1,1,0,-387354942,2293131936996] 2
60690o (2 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+ -3  5 17+ -4
Curve Equation t 60690o1 [1,1,0,-1612,153424] 1 60690o2 [1,1,0,14453,-4058819] 1
60690p (4 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  6  2 17+  8
Curve Equation t 60690p1 [1,1,0,9098,4865824] 2 60690p2 [1,1,0,-381052,87499594] 2 60690p3 [1,1,0,-81937,-131850539] 2 60690p4 [1,1,0,-4416937,-3546963539] 2
60690q (2 curves)	0	2+ 3- 5+ 7+ 17+	2+ 3- 5+ 7+ -2  4 17+  6
Curve Equation t 60690q1 [1,0,1,-389434,-94153768] 2 60690q2 [1,0,1,-6241684,-6002585368] 2
60690r (4 curves)	0	2+ 3- 5+ 7+ 17+	2+ 3- 5+ 7+  4 -2 17+  0
Curve Equation t 60690r1 [1,0,1,-7183824,4496851102] 2 60690r2 [1,0,1,-101883344,395719508126] 4 60690r3 [1,0,1,-88936144,500001435806] 2 60690r4 [1,0,1,-1630022864,25330066428062] 2
60690s (2 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7-  0  0 17+ -6
Curve Equation t Generators 60690s1 [1,0,1,-152454,2456333656] 2 [-571:-48267:1] 60690s2 [1,0,1,-28243254,56997430936] 2 [1316:-149349:1]
60690t (2 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7-  2  2 17+ -4
Curve Equation t Generators 60690t1 [1,0,1,-146305534,681143546396] 2 [6841:17387:1] 60690t2 [1,0,1,-2340899284,43593351896396] 2 [223478:-114029:8]
60690u (2 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7-  2 -6 17+  4
Curve Equation t Generators 60690u1 [1,0,1,-739124,-245443534] 2 [990926712:67159297067:205379] 60690u2 [1,0,1,-11836724,-15675546574] 2 [930709415529277960:-48622478910523620474:172222985359853]
60690v (2 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7- -2 -4 17+  0
Curve Equation t Generators 60690v1 [1,0,1,189671,45000956] 2 [178:-9277:1] 60690v2 [1,0,1,-1340329,466668956] 2 [-1064:26771:1]
60690w (4 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7- -4  2 17+ -4
Curve Equation t Generators 60690w1 [1,0,1,-12289,498356] 2 [63891:194122:729] 60690w2 [1,0,1,-35409,-1933868] 4 [-1066:5731:8] 60690w3 [1,0,1,85971,-12275444] 2 [1622:28579:8] 60690w4 [1,0,1,-526709,-147162148] 2 [-417:292:1]
60690x (2 curves)	0	2+ 3- 5+ 7- 17-	2+ 3- 5+ 7-  3  5 17- -4
Curve Equation t 60690x1 [1,0,1,-466019,757033886] 3 60690x2 [1,0,1,4176766,-19970215468] 1
60690y (2 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+  2  2 17+  6
Curve Equation t Generators 60690y1 [1,0,1,-259673,-476178244] 2 [1035:18562:1] 60690y2 [1,0,1,-10871753,-13715809252] 2 [-2001:6250:1]
60690z (2 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+ -2 -2 17+ -4
Curve Equation t Generators 60690z1 [1,0,1,23547,1662448] 2 [-53:542:1] 60690z2 [1,0,1,-149853,16436128] 2 [4282:276950:1]
60690ba (2 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+ -2  4 17+ -8
Curve Equation t Generators 60690ba1 [1,0,1,-2633,65468] 2 [24:-140:1] 60690ba2 [1,0,1,-45133,3686468] 2 [109:200:1]
60690bb (2 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+ -4 -4 17+  0
Curve Equation t Generators 60690bb1 [1,0,1,-508,5798] 2 [7:-55:1] 60690bb2 [1,0,1,-8838,319006] 2 [50:-78:1]
60690bc (2 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+  6 -4 17+  0
Curve Equation t Generators 60690bc1 [1,0,1,-2143678748,-38373422912422] 2 [1409713433453166327286989240078346436977346441589:556695156107051595100953935883720915307230026773219:8279996511997841414246189025539041544186053] 60690bc2 [1,0,1,-34341515548,-2449501992113062] 2 [4759379228291778945605897:3761219926766054532394209967:6988477508617810841]
60690bd (1 curve)	0	2+ 3- 5- 7+ 17-	2+ 3- 5- 7+  6  0 17- -2
Curve Equation t 60690bd1 [1,0,1,-4386593,3537664148] 1
60690be (2 curves)	0	2+ 3- 5- 7- 17+	2+ 3- 5- 7- -2  4 17+ -6
Curve Equation t 60690be1 [1,0,1,-486538,-341619844] 2 60690be2 [1,0,1,-10890538,-13816880644] 2
60690bf (4 curves)	0	2+ 3- 5- 7- 17+	2+ 3- 5- 7-  4 -2 17+  0
Curve Equation t 60690bf1 [1,0,1,-1018,-7972] 2 60690bf2 [1,0,1,-6798,209356] 4 60690bf3 [1,0,1,1872,708748] 2 60690bf4 [1,0,1,-107948,13642076] 2
60690bg (2 curves)	0	2+ 3- 5- 7- 17+	2+ 3- 5- 7-  4  4 17+  6
Curve Equation t 60690bg1 [1,0,1,135907012,8031690518906] 2 60690bg2 [1,0,1,-5282842988,142876200518906] 2
60690bh (1 curve)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  1  1 17-  0
Curve Equation t Generators 60690bh1 [1,1,1,-1362641,-1046005441] 1 [1080113:1122005014:1]
60690bi (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7- -2  4 17+ -4
Curve Equation t Generators 60690bi1 [1,1,1,1354,-1357] 2 [9:103:1] 60690bi2 [1,1,1,-5446,-17677] 2 [-33:373:1]
60690bj (8 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  4 -2 17+  4
Curve Equation t Generators 60690bj1 [1,1,1,60684,4361013] 2 [61:-2911:1] 60690bj2 [1,1,1,-309236,38689589] 4 [-373:10301:1] 60690bj3 [1,1,1,-2181956,-1213785547] 4 [2951:132899:1] 60690bj4 [1,1,1,-4355236,3495591989] 2 [3027:132871:1] 60690bj5 [1,1,1,367024,-3876959851] 2 [223664543:10970159225:79507] 60690bj6 [1,1,1,-34694456,-78671565547] 4 [8153:420763:1] 60690bj7 [1,1,1,-34477706,-79702775347] 2 [3577324028:184766263963:438976] 60690bj8 [1,1,1,-555111206,-5034288025747] 2 [1496380678:-418461696037:17576]
60690bk (1 curve)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7-  2  4 17-  2
Curve Equation t 60690bk1 [1,1,1,-60696,-8723751] 1
60690bl (8 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  0  2 17+ -4
Curve Equation t Generators 60690bl1 [1,1,1,-11855,-179755] 2 [-85:514:1] 60690bl2 [1,1,1,-104335,12804437] 4 [-305:4198:1] 60690bl3 [1,1,1,-774815,-262832203] 2 [-2082160:1079683:4096] 60690bl4 [1,1,1,-23415,32257605] 2 [-271:4470:1] 60690bl5 [1,1,1,-1664935,826189157] 2 [745:-354:1] 60690bl6 [1,1,1,-780595,-258719155] 4 [-3866:21429:8] 60690bl7 [1,1,1,210675,-869737983] 2 [73980062:-4837936319:17576] 60690bl8 [1,1,1,-1864345,615650345] 2 [14630:454077:8]
60690bm (8 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  0  2 17+ -4
Curve Equation t Generators 60690bm1 [1,1,1,-9342220,13096493357] 4 [-403:129801:1] 60690bm2 [1,1,1,-157310220,759328710957] 4 [8845:240521:1] 60690bm3 [1,1,1,67231220,-89093758675] 4 [3605:445569:1] 60690bm4 [1,1,1,-165171020,679236591917] 2 [3377745:28603093:343] 60690bm5 [1,1,1,-2516937420,48601242116397] 2 [29075:17991:1] 60690bm6 [1,1,1,-294018780,-743389758675] 4 [34855:5582075:1] 60690bm7 [1,1,1,-3843661280,-91653993754675] 2 [58567463955:-6730668631175:753571] 60690bm8 [1,1,1,-2524376280,48299495237325] 2 [6502540585:684929381775:148877]
60690bn (1 curve)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  1 -3 17+  8
Curve Equation t Generators 60690bn1 [1,1,1,-720,7857] 1 [-3:101:1]
60690bo (1 curve)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+ -1 -5 17+ -4
Curve Equation t Generators 60690bo1 [1,1,1,1030330,-35743993] 1 [2417:127561:1]
60690bp (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  3 -1 17+ -4
Curve Equation t Generators 60690bp1 [1,1,1,-1740,-16800723] 1 [139995:4586247:125] 60690bp2 [1,1,1,-5013000,-4322475315] 1 [257431410508425735:-7059700971709046559:87735540012875]
60690bq (4 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  4 -6 17+ -4
Curve Equation t Generators 60690bq1 [1,1,1,4515330,1243465275] 4 [15105:-1882681:1] 60690bq2 [1,1,1,-19159550,10202039867] 4 [237:75211:1] 60690bq3 [1,1,1,-173231230,-870225168325] 2 [-8057:54603:1] 60690bq4 [1,1,1,-243885950,1464451519547] 2 [9485:63271:1]
60690br (4 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+ -4 -2 17+  8
Curve Equation t Generators 60690br1 [1,1,1,-3185,-777985] 4 [105:190:1] 60690br2 [1,1,1,-147685,-21759385] 4 [14555:1748154:1] 60690br3 [1,1,1,-248835,11701035] 2 [9258664970:1111820171989:636056] 60690br4 [1,1,1,-2358535,-1395139405] 2 [320199180:38289572803:21952]
60690bs (1 curve)	0	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+ -2  4 17-  6
Curve Equation t 60690bs1 [1,1,1,-26305,1849025] 1
60690bt (4 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  4 -6 17+  0
Curve Equation t Generators 60690bt1 [1,0,0,-293341,-59824975] 2 [-7422:10237:27] 60690bt2 [1,0,0,-663261,121361841] 4 [-144:14697:1] 60690bt3 [1,0,0,2088019,869159745] 2 [3260296:-188520773:2197] 60690bt4 [1,0,0,-9333261,10970999841] 2 [2168:29375:1]
60690bu (6 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -4 -2 17+ -4
Curve Equation t Generators 60690bu1 [1,0,0,2884,-83184] 2 [330:5904:1] 60690bu2 [1,0,0,-20236,-864640] 4 [-82:536:1] 60690bu3 [1,0,0,-106936,12712580] 2 [496:8794:1] 60690bu4 [1,0,0,-303456,-64362564] 4 [-420684:188742:1331] 60690bu5 [1,0,0,-283226,-73308270] 2 [648246874:-160265508437:10648] 60690bu6 [1,0,0,-4855206,-4118151114] 2 [-6936020432:3468392845:5451776]
60690bv (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  2  4 17+  6
Curve Equation t 60690bv1 [1,0,0,-91,371] 1
60690bw (6 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -4  6 17+  4
Curve Equation t 60690bw1 [1,0,0,884334,310979076] 2 60690bw2 [1,0,0,-5034386,2928237060] 4 60690bw3 [1,0,0,-31761106,-66673487164] 4 60690bw4 [1,0,0,-73007186,240058147140] 2 60690bw5 [1,0,0,12455894,-237766746964] 2 60690bw6 [1,0,0,-503605626,-4349983670820] 2
60690bx (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  1 -5 17- -4
Curve Equation t Generators 60690bx1 [1,0,0,297765364,-177694594284] 1 [87880:26501866:1]
60690by (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -1 -3 17-  8
Curve Equation t Generators 60690by1 [1,0,0,-208086,40058916] 1 [260:1754:1]
60690bz (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -3 -1 17- -4
Curve Equation t Generators 60690bz1 [1,0,0,-6,-3420] 3 [54:366:1] 60690bz2 [1,0,0,-17346,-880824] 1 [26980:278116:125]
60690ca (4 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  0 -2 17+  0
Curve Equation t 60690ca1 [1,0,0,4040,1854272] 4 60690ca2 [1,0,0,-204040,34439600] 4 60690ca3 [1,0,0,-498820,-87776188] 2 60690ca4 [1,0,0,-3238540,2242948700] 2
60690cb (4 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  0 -2 17+ -8
Curve Equation t 60690cb1 [1,0,0,655735,-38228583] 4 60690cb2 [1,0,0,-2673545,-309231975] 4 60690cb3 [1,0,0,-26464025,52110711657] 2 60690cb4 [1,0,0,-32151545,-70060075575] 2
60690cc (2 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  2  4 17+ -4
Curve Equation t 60690cc1 [1,0,0,391300,-9405168] 2 60690cc2 [1,0,0,-1573900,-75828928] 2
60690cd (1 curve)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -2  4 17+  2
Curve Equation t 60690cd1 [1,0,0,-210,-1788] 1
60690ce (1 curve)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -1  1 17+  0
Curve Equation t Generators 60690ce1 [1,0,0,-4715,-213183] 1 [304:4993:1]

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