Cremona's table of elliptic curves

16698 = 2 · 3 · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
16698a (1 curve)	1	2+ 3+ 11+ 23+	2+ 3+  0 -5 11+ -1 -4 -6
Curve Equation t Generators 16698a1 [1,1,0,-979255,540684379] 1 [5253:372050:1]
16698b (1 curve)	1	2+ 3+ 11+ 23+	2+ 3+ -3  1 11+  5  5  6
Curve Equation t Generators 16698b1 [1,1,0,-6294,25524] 1 [171:1911:1]
16698c (1 curve)	0	2+ 3+ 11+ 23-	2+ 3+  0 -3 11+  3  0  6
Curve Equation t 16698c1 [1,1,0,-4579610,4239505428] 1
16698d (1 curve)	0	2+ 3+ 11- 23+	2+ 3+ -1  3 11- -1  1 -4
Curve Equation t 16698d1 [1,1,0,-306253,-60650531] 1
16698e (4 curves)	0	2+ 3+ 11- 23+	2+ 3+  2  0 11-  2 -2  8
Curve Equation t 16698e1 [1,1,0,361,-2427] 2 16698e2 [1,1,0,-2059,-25175] 4 16698e3 [1,1,0,-29889,-2001105] 2 16698e4 [1,1,0,-12949,543283] 2
16698f (1 curve)	0	2+ 3+ 11- 23+	2+ 3+  2 -3 11- -1 -2 -4
Curve Equation t 16698f1 [1,1,0,-385324744,-2917817348288] 1
16698g (1 curve)	2	2+ 3+ 11- 23+	2+ 3+ -3  0 11- -1 -3 -4
Curve Equation t Generators 16698g1 [1,1,0,-24,576] 1 [0:24:1]&[9:30:1]
16698h (1 curve)	2	2+ 3+ 11- 23+	2+ 3+ -3 -3 11- -1  3 -4
Curve Equation t Generators 16698h1 [1,1,0,-71634,7341426] 1 [147:48:1]&[149:-14:1]
16698i (2 curves)	1	2+ 3+ 11- 23-	2+ 3+  0  2 11- -2  8  6
Curve Equation t Generators 16698i1 [1,1,0,5080,85056] 2 [-13:137:1] 16698i2 [1,1,0,-23960,706512] 2 [28:228:1]
16698j (1 curve)	1	2+ 3+ 11- 23-	2+ 3+  3 -4 11-  1 -7  0
Curve Equation t Generators 16698j1 [1,1,0,-761,45753] 1 [152:1787:1]
16698k (1 curve)	1	2+ 3+ 11- 23-	2+ 3+ -3 -1 11-  1 -7  6
Curve Equation t Generators 16698k1 [1,1,0,-21823199,-39091373691] 1 [-2689:13868:1]
16698l (1 curve)	0	2+ 3- 11+ 23+	2+ 3-  1  1 11+  5 -7  2
Curve Equation t 16698l1 [1,0,1,-12235523,-13881553666] 1
16698m (2 curves)	0	2+ 3- 11+ 23+	2+ 3- -2 -2 11+ -4  2  2
Curve Equation t 16698m1 [1,0,1,-42232,-3323146] 2 16698m2 [1,0,1,-15612,-7454570] 2
16698n (1 curve)	0	2+ 3- 11+ 23+	2+ 3-  3  3 11+  1  7  2
Curve Equation t 16698n1 [1,0,1,-433007,109634402] 1
16698o (1 curve)	0	2+ 3- 11+ 23+	2+ 3- -4  3 11+  1  0  2
Curve Equation t 16698o1 [1,0,1,-1461078,-681976088] 1
16698p (1 curve)	1	2+ 3- 11- 23+	2+ 3- -1 -1 11- -1 -7  0
Curve Equation t Generators 16698p1 [1,0,1,-7989,255550] 1 [32:165:1]
16698q (1 curve)	1	2+ 3- 11- 23+	2+ 3-  2  1 11- -3  2  0
Curve Equation t Generators 16698q1 [1,0,1,-1455,22504] 1 [-34:198:1]
16698r (4 curves)	1	2+ 3- 11- 23+	2+ 3-  2 -4 11-  2  2  0
Curve Equation t Generators 16698r1 [1,0,1,-20078380,-57442922902] 2 [306779413048635479759701:22851632265491799689819795:35290553678706964357] 16698r2 [1,0,1,-376921900,-2815700595094] 4 [61075254719014991155297548860074711618195777323:23516298928303904066780487377780860282063358307565:403791555100444626412746518578589498560507] 16698r3 [1,0,1,-6030196780,-180238079429014] 2 [164917313909287831134283704331766667964572785729170528923436732533250815425779976292:55919292405981985696835075277884096383907513700378510668485337373831450416068393547866:1030538432592531386916818032116284104460718201952556443464138652585782137634811] 16698r4 [1,0,1,-433143340,-1920385407382] 2 [-20120846743356154996459924239:-2548253996503038778051818589561:2575125216158977223661681]
16698s (2 curves)	1	2+ 3- 11- 23+	2+ 3-  3 -1 11-  5 -6 -1
Curve Equation t Generators 16698s1 [1,0,1,-2302,54932] 3 [55:281:1] 16698s2 [1,0,1,17663,-583948] 1 [105765:28654:3375]
16698t (2 curves)	1	2+ 3- 11- 23+	2+ 3- -3  1 11-  7  3 -8
Curve Equation t Generators 16698t1 [1,0,1,-15370,-389380] 1 [-56:572:1] 16698t2 [1,0,1,-581650,170679452] 1 [384:1804:1]
16698u (1 curve)	0	2+ 3- 11- 23-	2+ 3- -1  5 11-  5 -1  6
Curve Equation t 16698u1 [1,0,1,-2630059,-1167350890] 1
16698v (1 curve)	0	2- 3+ 11+ 23+	2- 3+  0  5 11+  1  4  6
Curve Equation t 16698v1 [1,1,1,-8093,-409903] 1
16698w (1 curve)	2	2- 3+ 11+ 23+	2- 3+ -3 -1 11+ -5 -5 -6
Curve Equation t Generators 16698w1 [1,1,1,-52,-43] 1 [-7:9:1]&[-5:13:1]
16698x (1 curve)	1	2- 3+ 11+ 23-	2- 3+  0  3 11+ -3  0 -6
Curve Equation t Generators 16698x1 [1,1,1,-37848,-3202407] 1 [1029:-32899:1]
16698y (1 curve)	1	2- 3+ 11- 23+	2- 3+  1 -1 11-  5 -3  0
Curve Equation t Generators 16698y1 [1,1,1,-56570,5151719] 1 [303:3841:1]
16698z (1 curve)	1	2- 3+ 11- 23+	2- 3+ -2 -1 11- -7  6  0
Curve Equation t Generators 16698z1 [1,1,1,1390106,-13643280925] 1 [2305:41439:1]
16698ba (2 curves)	1	2- 3+ 11- 23+	2- 3+ -2  2 11-  2  0  0
Curve Equation t Generators 16698ba1 [1,1,1,-184,-2155] 2 [430:2847:8] 16698ba2 [1,1,1,-3814,-92179] 2 [201698:384105:2744]
16698bb (4 curves)	1	2- 3+ 11- 23+	2- 3+ -2 -4 11-  2 -6  0
Curve Equation t Generators 16698bb1 [1,1,1,-5335074,4740779055] 4 [-2535:45795:1] 16698bb2 [1,1,1,-5489954,4450719791] 4 [-2543:45707:1] 16698bb3 [1,1,1,-20852114,-31890005905] 2 [-3269:38447:1] 16698bb4 [1,1,1,7394126,22230750191] 2 [118091:40533429:1]
16698bc (1 curve)	1	2- 3+ 11- 23+	2- 3+  3  1 11- -3 -1  0
Curve Equation t Generators 16698bc1 [1,1,1,-17338274,-27794274001] 1 [-154572:96937:64]
16698bd (1 curve)	1	2- 3+ 11- 23+	2- 3+ -3  0 11-  1  3  4
Curve Equation t Generators 16698bd1 [1,1,1,-2967,-781395] 1 [655:16370:1]
16698be (1 curve)	0	2- 3+ 11- 23-	2- 3+ -1  3 11- -1 -3 -2
Curve Equation t 16698be1 [1,1,1,-3451,-78385] 1
16698bf (4 curves)	0	2- 3+ 11- 23-	2- 3+  2  0 11-  2  6  4
Curve Equation t 16698bf1 [1,1,1,-8412,537021] 2 16698bf2 [1,1,1,-163292,25317821] 4 16698bf3 [1,1,1,-192332,15653309] 2 16698bf4 [1,1,1,-2612332,1624051133] 2
16698bg (1 curve)	0	2- 3+ 11- 23-	2- 3+  3  4 11- -1  7  0
Curve Equation t 16698bg1 [1,1,1,-92144,-61357867] 1
16698bh (1 curve)	1	2- 3- 11+ 23+	2- 3-  1 -1 11+ -5  7 -2
Curve Equation t Generators 16698bh1 [1,0,0,-101120,10420224] 1 [76:1744:1]
16698bi (2 curves)	1	2- 3- 11+ 23+	2- 3- -2  2 11+  4 -2 -2
Curve Equation t Generators 16698bi1 [1,0,0,-349,2465] 2 [-8:73:1] 16698bi2 [1,0,0,-129,5589] 2 [54:369:1]
16698bj (1 curve)	1	2- 3- 11+ 23+	2- 3-  3 -3 11+ -1 -7 -2
Curve Equation t Generators 16698bj1 [1,0,0,-52393789,-145975783183] 1 [-1256933668:628678463:300763]
16698bk (1 curve)	1	2- 3- 11+ 23+	2- 3- -4 -3 11+ -1  0 -2
Curve Equation t Generators 16698bk1 [1,0,0,-12075,511281] 1 [120:-951:1]
16698bl (4 curves)	0	2- 3- 11- 23+	2- 3-  0 -2 11- -2  0 -2
Curve Equation t 16698bl1 [1,0,0,-4298,-113772] 2 16698bl2 [1,0,0,-69638,-7079016] 2 16698bl3 [1,0,0,22927,-230295] 2 16698bl4 [1,0,0,-93233,-1879767] 2
16698bm (2 curves)	0	2- 3- 11- 23+	2- 3-  3  1 11- -5  6  1
Curve Equation t 16698bm1 [1,0,0,-19,-43] 1 16698bm2 [1,0,0,146,452] 1
16698bn (2 curves)	0	2- 3- 11- 23+	2- 3-  4 -2 11-  6  0 -6
Curve Equation t 16698bn1 [1,0,0,570089,196327913] 2 16698bn2 [1,0,0,-3611671,1940121833] 2
16698bo (1 curve)	1	2- 3- 11- 23-	2- 3- -1  3 11- -1 -3 -2
Curve Equation t Generators 16698bo1 [1,0,0,-7490931,7890556257] 1 [846:46041:1]
16698bp (1 curve)	1	2- 3- 11- 23-	2- 3-  2 -3 11- -1 -6  4
Curve Equation t Generators 16698bp1 [1,0,0,1268,-9712] 1 [76:688:1]
16698bq (2 curves)	1	2- 3- 11- 23-	2- 3- -3  1 11- -5  3 -2
Curve Equation t Generators 16698bq1 [1,0,0,-554122,125941124] 1 [-496:16946:1] 16698bq2 [1,0,0,-42257377,105727374281] 1 [2474:126539:1]

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