Cremona's table of elliptic curves

128478 = 2 · 3 · 7² · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
128478a (1 curve)	0	2+ 3+ 7+ 19+ 23-	2+ 3+ -1 7+  2 -1  5 19+
Curve Equation t 128478a1 [1,1,0,8609422,20566911156] 1
128478b (1 curve)	2	2+ 3+ 7- 19+ 23+	2+ 3+ -1 7-  0 -1  3 19+
Curve Equation t Generators 128478b1 [1,1,0,19512,21577536] 1 [80:-4904:1]&[631:16585:1]
128478c (1 curve)	0	2+ 3+ 7- 19+ 23+	2+ 3+ -1 7- -2 -5  4 19+
Curve Equation t 128478c1 [1,1,0,-101458543,393309632101] 1
128478d (1 curve)	0	2+ 3+ 7- 19+ 23+	2+ 3+ -1 7- -6  3 -4 19+
Curve Equation t 128478d1 [1,1,0,-14088,-663816] 1
128478e (2 curves)	2	2+ 3+ 7- 19+ 23+	2+ 3+  2 7- -2 -6 -2 19+
Curve Equation t Generators 128478e1 [1,1,0,-772559,-261538395] 2 [-517:401:1]&[-505:620:1] 128478e2 [1,1,0,-623599,-365244347] 2 [1051:11377:1]&[3751:221932:1]
128478f (1 curve)	0	2+ 3+ 7- 19+ 23+	2+ 3+  2 7- -5 -2 -2 19+
Curve Equation t 128478f1 [1,1,0,-5569,-173963] 1
128478g (1 curve)	0	2+ 3+ 7- 19+ 23+	2+ 3+ -2 7-  2  1 -6 19+
Curve Equation t 128478g1 [1,1,0,2066354,475782196] 1
128478h (2 curves)	0	2+ 3+ 7- 19+ 23+	2+ 3+ -3 7-  0  1  3 19+
Curve Equation t 128478h1 [1,1,0,23626991,-1627158833579] 1 128478h2 [1,1,0,-212667424,43961831535616] 1
128478i (2 curves)	1	2+ 3+ 7- 19+ 23-	2+ 3+  0 7-  0  1  3 19+
Curve Equation t Generators 128478i1 [1,1,0,1690,-406566] 1 [643:16020:1] 128478i2 [1,1,0,-15215,11031357] 1 [41236:1029501:64]
128478j (2 curves)	1	2+ 3+ 7- 19+ 23-	2+ 3+  0 7-  0 -5  0 19+
Curve Equation t Generators 128478j1 [1,1,0,3650,202504] 1 [90:1082:1] 128478j2 [1,1,0,-182305,29931637] 1 [258:263:1]
128478k (1 curve)	1	2+ 3+ 7- 19+ 23-	2+ 3+  0 7- -1  1 -7 19+
Curve Equation t Generators 128478k1 [1,1,0,-37265,787221] 1 [-5397:17471:27]
128478l (1 curve)	1	2+ 3+ 7- 19+ 23-	2+ 3+  1 7-  0 -1  4 19+
Curve Equation t Generators 128478l1 [1,1,0,816903,588530853] 1 [198134:31104329:8]
128478m (1 curve)	1	2+ 3+ 7- 19+ 23-	2+ 3+  2 7- -2  3 -5 19+
Curve Equation t Generators 128478m1 [1,1,0,8172146,-7861474508] 1 [12115713:805645592:4913]
128478n (1 curve)	1	2+ 3+ 7- 19+ 23-	2+ 3+  2 7- -5  0  4 19+
Curve Equation t Generators 128478n1 [1,1,0,-151273854,-717638791932] 1 [439144888:77537934314:12167]
128478o (2 curves)	1	2+ 3+ 7- 19+ 23-	2+ 3+ -2 7-  0 -6 -2 19+
Curve Equation t Generators 128478o1 [1,1,0,-36236,-2309040] 2 [-127:578:1] 128478o2 [1,1,0,-557596,-160489664] 2 [-431:274:1]
128478p (1 curve)	1	2+ 3+ 7- 19+ 23-	2+ 3+  3 7- -2 -6 -6 19+
Curve Equation t Generators 128478p1 [1,1,0,-116001,15687477] 1 [183:-885:1]
128478q (1 curve)	1	2+ 3+ 7- 19+ 23-	2+ 3+ -3 7- -2  3  0 19+
Curve Equation t Generators 128478q1 [1,1,0,2621,259099] 1 [-15:473:1]
128478r (1 curve)	1	2+ 3+ 7- 19+ 23-	2+ 3+  4 7-  3  2  4 19+
Curve Equation t Generators 128478r1 [1,1,0,-53,-195] 1 [10:15:1]
128478s (1 curve)	1	2+ 3+ 7- 19- 23+	2+ 3+  1 7-  0  7 -3 19-
Curve Equation t Generators 128478s1 [1,1,0,53973,-17710083] 1 [26830:230921:125]
128478t (1 curve)	1	2+ 3+ 7- 19- 23+	2+ 3+ -1 7-  0  1 -3 19-
Curve Equation t Generators 128478t1 [1,1,0,-1313,17781] 1 [10:71:1]
128478u (4 curves)	1	2+ 3+ 7- 19- 23+	2+ 3+ -2 7-  0 -2  6 19-
Curve Equation t Generators 128478u1 [1,1,0,-187646,-14958684] 2 [1476:53358:1] 128478u2 [1,1,0,-2540626,-1558984160] 4 [75928:20879548:1] 128478u3 [1,1,0,-2084436,-2135882034] 2 [4859316:1336311801:64] 128478u4 [1,1,0,-40644496,-99752657150] 2 [-417378199084:209101175627:113379904]
128478v (2 curves)	1	2+ 3+ 7- 19- 23+	2+ 3+ -2 7-  4  6  0 19-
Curve Equation t Generators 128478v1 [1,1,0,-186,-1056] 2 [17:24:1] 128478v2 [1,1,0,-116,-1770] 2 [29:128:1]
128478w (1 curve)	1	2+ 3+ 7- 19- 23+	2+ 3+ -4 7-  3  4 -6 19-
Curve Equation t Generators 128478w1 [1,1,0,510163,-162231075] 1 [386:9419:1]
128478x (1 curve)	0	2+ 3- 7+ 19+ 23+	2+ 3-  1 7+  0 -1  3 19+
Curve Equation t 128478x1 [1,0,1,-64363,-6291946] 1
128478y (1 curve)	2	2+ 3- 7+ 19+ 23+	2+ 3- -1 7+  0 -7  3 19+
Curve Equation t Generators 128478y1 [1,0,1,1101,51790] 1 [47:432:1]&[-17:176:1]
128478z (1 curve)	0	2+ 3- 7+ 19+ 23+	2+ 3-  4 7+  3 -4  6 19+
Curve Equation t 128478z1 [1,0,1,10411,474464] 1
128478ba (1 curve)	1	2+ 3- 7+ 19- 23+	2+ 3-  1 7+  0  1 -3 19-
Curve Equation t Generators 128478ba1 [1,0,1,956062,-7398226636] 1 [13773:1611289:1]
128478bb (1 curve)	1	2+ 3- 7+ 19- 23+	2+ 3- -2 7+ -5  2  2 19-
Curve Equation t Generators 128478bb1 [1,0,1,-272907,58850614] 1 [-433:10008:1]
128478bc (2 curves)	1	2+ 3- 7+ 19- 23+	2+ 3-  3 7+  0 -1 -3 19-
Curve Equation t Generators 128478bc1 [1,0,1,482183,4743972188] 3 [6619:542522:1] 128478bc2 [1,0,1,-4340152,-128169225082] 1 [19849:2747963:1]
128478bd (1 curve)	0	2+ 3- 7+ 19- 23-	2+ 3-  0 7+ -1 -1  7 19-
Curve Equation t 128478bd1 [1,0,1,-761,-2404] 1
128478be (1 curve)	2	2+ 3- 7+ 19- 23-	2+ 3- -2 7+ -5  0 -4 19-
Curve Equation t Generators 128478be1 [1,0,1,-3087222,2091800344] 1 [-127:-49755:1]&[-1438:60369:1]
128478bf (1 curve)	0	2+ 3- 7+ 19- 23-	2+ 3- -3 7+ -2  6  6 19-
Curve Equation t 128478bf1 [1,0,1,-5684075,-5397856810] 1
128478bg (1 curve)	2	2+ 3- 7+ 19- 23-	2+ 3- -4 7+  3 -2 -4 19-
Curve Equation t Generators 128478bg1 [1,0,1,-2623,59042] 1 [-50:281:1]&[-45:316:1]
128478bh (1 curve)	1	2+ 3- 7- 19+ 23+	2+ 3-  2 7-  2 -7  1 19+
Curve Equation t Generators 128478bh1 [1,0,1,-58314975,-724723089422] 1 [1157972:129695469:64]
128478bi (2 curves)	1	2+ 3- 7- 19+ 23+	2+ 3-  2 7-  4 -6  0 19+
Curve Equation t Generators 128478bi1 [1,0,1,-9140,334814] 2 [10270:41607:125] 128478bi2 [1,0,1,-5710,590006] 2 [250:3722:1]
128478bj (4 curves)	1	2+ 3- 7- 19+ 23+	2+ 3-  2 7- -4  2 -2 19+
Curve Equation t Generators 128478bj1 [1,0,1,-9630,-363632] 2 [57992:-6467:512] 128478bj2 [1,0,1,-13550,-40624] 4 [-51:745:1] 128478bj3 [1,0,1,54070,-311104] 2 [1846:38643:8] 128478bj4 [1,0,1,-143890,20918048] 2 [-167:6431:1]
128478bk (1 curve)	1	2+ 3- 7- 19+ 23+	2+ 3-  4 7-  0 -1  1 19+
Curve Equation t Generators 128478bk1 [1,0,1,-415154,-102992956] 1 [52498191372:1922005804741:31554496]
128478bl (1 curve)	0	2+ 3- 7- 19+ 23-	2+ 3-  4 7- -4 -3  4 19+
Curve Equation t 128478bl1 [1,0,1,-36139,-17205226] 1
128478bm (1 curve)	0	2+ 3- 7- 19- 23+	2+ 3-  2 7-  2 -1  6 19-
Curve Equation t 128478bm1 [1,0,1,42170,-1381096] 1
128478bn (2 curves)	0	2+ 3- 7- 19- 23+	2+ 3- -2 7- -6 -6  4 19-
Curve Equation t 128478bn1 [1,0,1,-156061057,371088661556] 2 128478bn2 [1,0,1,532353663,2756583349300] 2
128478bo (1 curve)	1	2+ 3- 7- 19- 23-	2+ 3-  1 7-  2  1 -5 19-
Curve Equation t Generators 128478bo1 [1,0,1,175702,-59936740] 1 [285:3505:1]
128478bp (2 curves)	1	2+ 3- 7- 19- 23-	2+ 3-  2 7-  0  6  2 19-
Curve Equation t Generators 128478bp1 [1,0,1,-740,6626] 2 [-15:127:1] 128478bp2 [1,0,1,-11380,466274] 2 [-59:995:1]
128478bq (2 curves)	1	2+ 3- 7- 19- 23-	2+ 3- -2 7-  6 -6  0 19-
Curve Equation t Generators 128478bq1 [1,0,1,-29867,1977686] 2 [536:11565:1] 128478bq2 [1,0,1,-16147,3805190] 2 [-150:1765:1]
128478br (1 curve)	0	2- 3+ 7+ 19+ 23+	2- 3+  0 7+  1  6 -8 19+
Curve Equation t 128478br1 [1,1,1,-20131063,37897107149] 1
128478bs (1 curve)	0	2- 3+ 7+ 19+ 23+	2- 3+  0 7+ -5  0 -2 19+
Curve Equation t 128478bs1 [1,1,1,6467,191687] 1
128478bt (1 curve)	0	2- 3+ 7+ 19+ 23+	2- 3+  4 7+ -1  7  3 19+
Curve Equation t 128478bt1 [1,1,1,-175666,27085631] 1
128478bu (1 curve)	1	2- 3+ 7+ 19- 23+	2- 3+  3 7+  2  2  2 19-
Curve Equation t Generators 128478bu1 [1,1,1,-208433604,1158156249669] 1 [533428:-265639:64]
128478bv (1 curve)	1	2- 3+ 7+ 19- 23+	2- 3+ -3 7+  5 -4 -4 19-
Curve Equation t Generators 128478bv1 [1,1,1,-80843092,-279845228293] 1 [49143699115851263755370:3383755409077698134620643:3833786636697841208]
128478bw (1 curve)	0	2- 3+ 7+ 19- 23-	2- 3+  1 7+ -4 -5  3 19-
Curve Equation t 128478bw1 [1,1,1,-50,2953523] 1
128478bx (1 curve)	0	2- 3+ 7+ 19- 23-	2- 3+  2 7+  3  4 -4 19-
Curve Equation t 128478bx1 [1,1,1,235248,24154353] 1
128478by (4 curves)	1	2- 3+ 7- 19+ 23+	2- 3+  2 7-  0 -6  2 19+
Curve Equation t Generators 128478by1 [1,1,1,-932,865829] 2 [-1:931:1] 128478by2 [1,1,1,-142052,20283941] 4 [-85:5677:1] 128478by3 [1,1,1,-277292,-24723931] 2 [-169:4249:1] 128478by4 [1,1,1,-2264732,1310873381] 2 [875:-103:1]
128478bz (2 curves)	1	2- 3+ 7- 19+ 23+	2- 3+  2 7-  6 -6  2 19+
Curve Equation t Generators 128478bz1 [1,1,1,-76094178042,-8077348120172409] 2 [1081626099329:475985603340499:2571353] 128478bz2 [1,1,1,-66331935482,-10225908370511737] 2 [2439786840933845235195:1088704176577622817277793:5847078977223875]
128478ca (2 curves)	1	2- 3+ 7- 19+ 23+	2- 3+ -3 7- -6 -2  6 19+
Curve Equation t Generators 128478ca1 [1,1,1,19158,-782433] 1 [43:329:1] 128478ca2 [1,1,1,-196932,45893007] 1 [-26060:503657:64]
128478cb (1 curve)	0	2- 3+ 7- 19- 23+	2- 3+ -1 7- -6  1 -3 19-
Curve Equation t 128478cb1 [1,1,1,-19286,-1084525] 1
128478cc (1 curve)	0	2- 3+ 7- 19- 23+	2- 3+ -2 7- -1  1  3 19-
Curve Equation t 128478cc1 [1,1,1,-29,-43] 1
128478cd (1 curve)	1	2- 3+ 7- 19- 23-	2- 3+  0 7-  0  1  3 19-
Curve Equation t Generators 128478cd1 [1,1,1,31947,2616795] 1 [-57:812:1]
128478ce (2 curves)	1	2- 3+ 7- 19- 23-	2- 3+  2 7-  4 -2 -6 19-
Curve Equation t Generators 128478ce1 [1,1,1,-22002,-765969] 2 [-125:287:1] 128478ce2 [1,1,1,-152342,22278143] 2 [12909:1459645:1]
128478cf (1 curve)	1	2- 3- 7+ 19+ 23+	2- 3-  1 7+ -6 -1  3 19+
Curve Equation t Generators 128478cf1 [1,0,0,-945015,369156969] 1 [-780:25527:1]
128478cg (1 curve)	1	2- 3- 7+ 19+ 23+	2- 3-  2 7+ -1 -1 -3 19+
Curve Equation t Generators 128478cg1 [1,0,0,-1422,10422] 1 [-66:1209:8]
128478ch (2 curves)	0	2- 3- 7+ 19- 23+	2- 3-  3 7+ -6  2 -6 19-
Curve Equation t 128478ch1 [1,0,0,391,2337] 3 128478ch2 [1,0,0,-4019,-134373] 1
128478ci (2 curves)	0	2- 3- 7- 19+ 23+	2- 3-  2 7- -2  2  2 19+
Curve Equation t 128478ci1 [1,0,0,-12692,544620] 2 128478ci2 [1,0,0,-3382,1328522] 2
128478cj (1 curve)	0	2- 3- 7- 19+ 23+	2- 3-  3 7-  5  4  4 19+
Curve Equation t 128478cj1 [1,0,0,-1649859,815639607] 1
128478ck (1 curve)	0	2- 3- 7- 19+ 23+	2- 3- -3 7-  2  1  4 19+
Curve Equation t 128478ck1 [1,0,0,-234582797,-1496901780879] 1
128478cl (1 curve)	0	2- 3- 7- 19+ 23+	2- 3- -3 7-  2 -2 -2 19+
Curve Equation t 128478cl1 [1,0,0,-4253747,-3377156511] 1
128478cm (1 curve)	1	2- 3- 7- 19+ 23-	2- 3- -1 7-  2  1  0 19+
Curve Equation t Generators 128478cm1 [1,0,0,135107352589,-16109817802086303] 1 [4999483962:9731758752987:1331]
128478cn (1 curve)	1	2- 3- 7- 19+ 23-	2- 3- -1 7- -2  1  8 19+
Curve Equation t Generators 128478cn1 [1,0,0,-47531,-15494991] 1 [550:-11447:1]
128478co (1 curve)	1	2- 3- 7- 19+ 23-	2- 3- -1 7- -4  5 -3 19+
Curve Equation t Generators 128478co1 [1,0,0,-1,-8611] 1 [50:-367:1]
128478cp (2 curves)	1	2- 3- 7- 19+ 23-	2- 3-  2 7-  2 -2  0 19+
Curve Equation t Generators 128478cp1 [1,0,0,538,-730752] 2 [96:408:1] 128478cp2 [1,0,0,-118532,-15423990] 2 [24582:1341459:8]
128478cq (6 curves)	1	2- 3- 7- 19+ 23-	2- 3-  2 7- -4  2  6 19+
Curve Equation t Generators 128478cq1 [1,0,0,-491225687,30774228503913] 4 [37078:7952341:1] 128478cq2 [1,0,0,-18042853207,928199474578025] 4 [-100600:41585885:1] 128478cq3 [1,0,0,-28624842247,-286229799210727] 2 [-112192:38954501:1] 128478cq4 [1,0,0,-288286904487,59577914703620025] 4 [38771580:1660521:125] 128478cq5 [1,0,0,-287888194427,59750927039697837] 2 [-7984845770:45096534629701:166375] 128478cq6 [1,0,0,-4612590435027,3812987758002435333] 2 [76419305975370:-38205642512931:61629875]
128478cr (1 curve)	1	2- 3- 7- 19+ 23-	2- 3- -2 7-  2 -3 -5 19+
Curve Equation t Generators 128478cr1 [1,0,0,-589,7433] 1 [32:131:1]
128478cs (2 curves)	1	2- 3- 7- 19+ 23-	2- 3- -2 7-  2 -6  4 19+
Curve Equation t Generators 128478cs1 [1,0,0,-143680839,661975462665] 2 [6486:50853:1] 128478cs2 [1,0,0,-100654919,1066169560329] 2 [-11126:904909:1]
128478ct (1 curve)	1	2- 3- 7- 19+ 23-	2- 3- -2 7-  3 -4  4 19+
Curve Equation t Generators 128478ct1 [1,0,0,4801,-69735] 1 [22:205:1]
128478cu (2 curves)	1	2- 3- 7- 19+ 23-	2- 3- -2 7-  4  2  6 19+
Curve Equation t Generators 128478cu1 [1,0,0,-449,2169] 2 [-20:67:1] 128478cu2 [1,0,0,-3109,-65395] 2 [-34:53:1]
128478cv (1 curve)	1	2- 3- 7- 19- 23+	2- 3-  0 7-  1 -6  8 19-
Curve Equation t Generators 128478cv1 [1,0,0,-410838,-110545884] 1 [960:19014:1]
128478cw (1 curve)	1	2- 3- 7- 19- 23+	2- 3-  0 7-  4  3  5 19-
Curve Equation t Generators 128478cw1 [1,0,0,-985048,391753760] 1 [-262:25268:1]
128478cx (1 curve)	1	2- 3- 7- 19- 23+	2- 3-  0 7- -5  0  2 19-
Curve Equation t Generators 128478cx1 [1,0,0,132,-540] 1 [48:318:1]
128478cy (1 curve)	1	2- 3- 7- 19- 23+	2- 3- -2 7-  6 -7  1 19-
Curve Equation t Generators 128478cy1 [1,0,0,-114514,-37112860] 1 [2062:91138:1]
128478cz (1 curve)	1	2- 3- 7- 19- 23+	2- 3- -4 7- -1 -7 -3 19-
Curve Equation t Generators 128478cz1 [1,0,0,-3585,-79479] 1 [-36:75:1]
128478da (2 curves)	0	2- 3- 7- 19- 23-	2- 3-  2 7-  6  6 -4 19-
Curve Equation t 128478da1 [1,0,0,-894692,-336250608] 2 128478da2 [1,0,0,-14442212,-21126274800] 2

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