Cremona's table of elliptic curves

34496 = 2⁶ · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
34496a (1 curve)	1	2+ 7+ 11+	2+  1  4 7+ 11+  5 -6  6
Curve Equation t Generators 34496a1 [0,1,0,-3201,6047] 1 [163:1960:1]
34496b (1 curve)	1	2+ 7+ 11+	2+ -1  2 7+ 11+  5  6  0
Curve Equation t Generators 34496b1 [0,-1,0,-69057,7007617] 1 [153:8:1]
34496c (1 curve)	1	2+ 7+ 11+	2+ -3  0 7+ 11+ -1 -2  2
Curve Equation t Generators 34496c1 [0,0,0,-4067980,3156681136] 1 [1117:2533:1]
34496d (1 curve)	0	2+ 7+ 11-	2+  1  2 7+ 11-  5  6  0
Curve Equation t 34496d1 [0,1,0,-69057,-7007617] 1
34496e (1 curve)	2	2+ 7+ 11-	2+  1 -2 7+ 11- -3 -2 -4
Curve Equation t Generators 34496e1 [0,1,0,-36129,2146367] 1 [-303:-43120:27]&[34:979:1]
34496f (2 curves)	2	2+ 7+ 11-	2+ -1  0 7+ 11-  1 -6 -2
Curve Equation t Generators 34496f1 [0,-1,0,-1633,25313] 1 [-23:224:1]&[-16:217:1] 34496f2 [0,-1,0,-17313,-862175] 1 [313:-4928:1]&[-72:77:1]
34496g (2 curves)	0	2+ 7+ 11-	2+ -1  0 7+ 11- -5  6 -2
Curve Equation t 34496g1 [0,-1,0,-244673,-30069311] 1 34496g2 [0,-1,0,-17806273,-28914686527] 1
34496h (1 curve)	0	2+ 7+ 11-	2+ -1  4 7+ 11-  5 -6 -6
Curve Equation t 34496h1 [0,-1,0,-3201,-6047] 1
34496i (1 curve)	0	2+ 7+ 11-	2+  3  0 7+ 11- -1 -2 -2
Curve Equation t 34496i1 [0,0,0,-4067980,-3156681136] 1
34496j (1 curve)	0	2+ 7+ 11-	2+  3  4 7+ 11-  1  2 -6
Curve Equation t 34496j1 [0,0,0,-1960588,-1056632080] 1
34496k (1 curve)	0	2+ 7+ 11-	2+ -3 -2 7+ 11-  7  2  0
Curve Equation t 34496k1 [0,0,0,-17836,729904] 1
34496l (2 curves)	2	2+ 7- 11+	2+  0  0 7- 11+ -2 -4 -2
Curve Equation t Generators 34496l1 [0,0,0,-980,32928] 2 [-28:196:1]&[2:176:1] 34496l2 [0,0,0,-22540,1300656] 2 [-168:588:1]&[77:147:1]
34496m (1 curve)	0	2+ 7- 11+	2+  1  1 7- 11+ -2  0 -6
Curve Equation t 34496m1 [0,1,0,-395495,-95899693] 1
34496n (1 curve)	2	2+ 7- 11+	2+  1 -2 7- 11+ -5 -6  0
Curve Equation t Generators 34496n1 [0,1,0,-1409,-20833] 1 [-22:1:1]&[83:664:1]
34496o (1 curve)	0	2+ 7- 11+	2+  1 -3 7- 11+ -2  8  6
Curve Equation t 34496o1 [0,1,0,33,-421] 1
34496p (3 curves)	0	2+ 7- 11+	2+ -1  1 7- 11+  4  2  0
Curve Equation t 34496p1 [0,-1,0,-65,-461] 1 34496p2 [0,-1,0,-2025,64219] 1 34496p3 [0,-1,0,-1532785,730926659] 1
34496q (1 curve)	0	2+ 7- 11+	2+ -1 -1 7- 11+  0  2 -2
Curve Equation t 34496q1 [0,-1,0,-261,-539363] 1
34496r (1 curve)	0	2+ 7- 11+	2+ -1 -1 7- 11+ -4  6 -2
Curve Equation t 34496r1 [0,-1,0,-4181,-113651] 1
34496s (1 curve)	2	2+ 7- 11+	2+ -1 -4 7- 11+ -5  6 -6
Curve Equation t Generators 34496s1 [0,-1,0,-65,1] 1 [-7:8:1]&[-1:8:1]
34496t (2 curves)	0	2+ 7- 11+	2+  2  2 7- 11+ -2  0  2
Curve Equation t 34496t1 [0,-1,0,40703,-1378047] 2 34496t2 [0,-1,0,-178817,-11344255] 2
34496u (2 curves)	0	2+ 7- 11+	2+  2  2 7- 11+ -4  0  4
Curve Equation t 34496u1 [0,-1,0,-45537,3882593] 2 34496u2 [0,-1,0,-735457,243008865] 2
34496v (2 curves)	0	2+ 7- 11+	2+  2 -2 7- 11+  4 -4  0
Curve Equation t 34496v1 [0,-1,0,10911,-1668127] 2 34496v2 [0,-1,0,-161569,-23021151] 2
34496w (2 curves)	0	2+ 7- 11+	2+  2  4 7- 11+  2 -2  8
Curve Equation t 34496w1 [0,-1,0,-401,3473] 2 34496w2 [0,-1,0,-6561,206753] 2
34496x (2 curves)	2	2+ 7- 11+	2+ -2 -2 7- 11+  2  0 -2
Curve Equation t Generators 34496x1 [0,1,0,831,4255] 2 [2:77:1]&[9:112:1] 34496x2 [0,1,0,-3649,32031] 2 [251:-3872:1]&[-19:308:1]
34496y (2 curves)	2	2+ 7- 11+	2+ -2 -2 7- 11+  4  0  0
Curve Equation t Generators 34496y1 [0,1,0,-604,4626] 2 [-19:98:1]&[25:76:1] 34496y2 [0,1,0,1111,27607] 2 [-51:-4312:27]&[3:176:1]
34496z (2 curves)	0	2+ 7- 11+	2+ -2 -4 7- 11+ -2  2 -8
Curve Equation t 34496z1 [0,1,0,-19665,-1151921] 2 34496z2 [0,1,0,-321505,-70273281] 2
34496ba (1 curve)	0	2+ 7- 11+	2+  3  0 7- 11+  1  2 -2
Curve Equation t 34496ba1 [0,0,0,-83020,-9203152] 1
34496bb (2 curves)	1	2+ 7- 11-	2+  0  0 7- 11- -2 -4  2
Curve Equation t Generators 34496bb1 [0,0,0,-980,-32928] 2 [53:253:1] 34496bb2 [0,0,0,-22540,-1300656] 2 [445:8763:1]
34496bc (2 curves)	1	2+ 7- 11-	2+  0  0 7- 11- -6  0 -2
Curve Equation t Generators 34496bc1 [0,0,0,16660,-235984] 2 [1022:32928:1] 34496bc2 [0,0,0,-69580,-1926288] 2 [-91:1911:1]
34496bd (4 curves)	1	2+ 7- 11-	2+  0  2 7- 11-  2 -2  0
Curve Equation t Generators 34496bd1 [0,0,0,-11564,15745072] 2 [84:3920:1] 34496bd2 [0,0,0,-1015084,389455920] 4 [7030:583680:1] 34496bd3 [0,0,0,-1893164,-385010640] 2 [-1162:15680:1] 34496bd4 [0,0,0,-16193324,25081416752] 2 [-3164:211288:1]
34496be (4 curves)	1	2+ 7- 11-	2+  0 -2 7- 11-  2  2 -4
Curve Equation t Generators 34496be1 [0,0,0,-5096,139944] 2 [-70:392:1] 34496be2 [0,0,0,-6076,82320] 4 [78:288:1] 34496be3 [0,0,0,21364,620144] 2 [70:1568:1] 34496be4 [0,0,0,-49196,-4143440] 2 [1156:38520:1]
34496bf (2 curves)	1	2+ 7- 11-	2+  0 -4 7- 11-  2  4 -6
Curve Equation t Generators 34496bf1 [0,0,0,-91532,-10838800] 2 [1736:71148:1] 34496bf2 [0,0,0,-1471372,-686960400] 2 [52248:1645028:27]
34496bg (2 curves)	1	2+ 7- 11-	2+  1  0 7- 11- -1  6  2
Curve Equation t Generators 34496bg1 [0,1,0,-80033,-8522305] 1 [2915:156640:1] 34496bg2 [0,1,0,-848353,297422719] 1 [627:3520:1]
34496bh (2 curves)	1	2+ 7- 11-	2+  1  0 7- 11-  5 -6  2
Curve Equation t Generators 34496bh1 [0,1,0,-4993,86239] 1 [-78:85:1] 34496bh2 [0,1,0,-363393,84195551] 1 [346:55:1]
34496bi (3 curves)	1	2+ 7- 11-	2+  1  3 7- 11- -4  6  2
Curve Equation t Generators 34496bi1 [0,1,0,-17509,-897611] 1 [13989816223980:-68804391440561:85474730125] 34496bi2 [0,1,0,-9669,-1695331] 1 [141020:4717867:125] 34496bi3 [0,1,0,86371,43827629] 1 [-13820:717409:125]
34496bj (2 curves)	1	2+ 7- 11-	2+  1 -3 7- 11- -4 -6  8
Curve Equation t Generators 34496bj1 [0,1,0,523,5459] 1 [86:833:1] 34496bj2 [0,1,0,-15157,717331] 1 [30:539:1]
34496bk (1 curve)	1	2+ 7- 11-	2+  1 -4 7- 11- -5  6  6
Curve Equation t Generators 34496bk1 [0,1,0,-65,-1] 1 [-1:8:1]
34496bl (1 curve)	1	2+ 7- 11-	2+ -1  1 7- 11- -2  0  6
Curve Equation t Generators 34496bl1 [0,-1,0,-395495,95899693] 1 [348:539:1]
34496bm (1 curve)	1	2+ 7- 11-	2+ -1  2 7- 11-  3  2  4
Curve Equation t Generators 34496bm1 [0,-1,0,-737,-6047] 1 [41:176:1]
34496bn (1 curve)	1	2+ 7- 11-	2+ -1 -2 7- 11- -5 -6  0
Curve Equation t Generators 34496bn1 [0,-1,0,-1409,20833] 1 [21:-8:1]
34496bo (1 curve)	1	2+ 7- 11-	2+ -1 -3 7- 11- -2  8 -6
Curve Equation t Generators 34496bo1 [0,-1,0,33,421] 1 [12:49:1]
34496bp (2 curves)	1	2+ 7- 11-	2+  2  0 7- 11- -2 -2 -4
Curve Equation t Generators 34496bp1 [0,-1,0,-93,365] 2 [-86:21:8] 34496bp2 [0,-1,0,47,1233] 2 [9:48:1]
34496bq (2 curves)	1	2+ 7- 11-	2+  2  2 7- 11-  0 -4  4
Curve Equation t Generators 34496bq1 [0,-1,0,750223,-265386127] 2 [148107:11095568:27] 34496bq2 [0,-1,0,-4467297,-2547529375] 2 [1868292231:129734325820:328509]
34496br (2 curves)	1	2+ 7- 11-	2+  2 -2 7- 11-  4  0  0
Curve Equation t Generators 34496br1 [0,-1,0,-604,-4626] 2 [6105:91034:27] 34496br2 [0,-1,0,1111,-27607] 2 [901:27048:1]
34496bs (2 curves)	1	2+ 7- 11-	2+ -2  0 7- 11-  2  2  4
Curve Equation t Generators 34496bs1 [0,1,0,-4573,-116061] 2 [1903:82984:1] 34496bs2 [0,1,0,2287,-427505] 2 [67:176:1]
34496bt (2 curves)	1	2+ 7- 11-	2+ -2  2 7- 11-  4  0 -4
Curve Equation t Generators 34496bt1 [0,1,0,-2417,75823] 2 [27:176:1] 34496bt2 [0,1,0,-45537,3723775] 2 [-222:1715:1]
34496bu (1 curve)	1	2+ 7- 11-	2+  3  2 7- 11- -7 -2  0
Curve Equation t Generators 34496bu1 [0,0,0,-364,-2128] 1 [-393:251:27]
34496bv (1 curve)	1	2+ 7- 11-	2+ -3  0 7- 11-  1  2  2
Curve Equation t Generators 34496bv1 [0,0,0,-83020,9203152] 1 [144:-484:1]
34496bw (1 curve)	1	2+ 7- 11-	2+ -3 -1 7- 11- -4 -2 -6
Curve Equation t Generators 34496bw1 [0,0,0,392,-686] 1 [7:49:1]
34496bx (1 curve)	1	2+ 7- 11-	2+ -3 -3 7- 11-  0  6  4
Curve Equation t Generators 34496bx1 [0,0,0,-784,-10976] 1 [161:2009:1]
34496by (1 curve)	1	2+ 7- 11-	2+ -3 -4 7- 11- -1 -2  6
Curve Equation t Generators 34496by1 [0,0,0,-40012,3080560] 1 [142:512:1]
34496bz (2 curves)	0	2- 7+ 11+	2-  1  0 7+ 11+  1 -6  2
Curve Equation t 34496bz1 [0,1,0,-1633,-25313] 1 34496bz2 [0,1,0,-17313,862175] 1
34496ca (2 curves)	0	2- 7+ 11+	2-  1  0 7+ 11+ -5  6  2
Curve Equation t 34496ca1 [0,1,0,-244673,30069311] 1 34496ca2 [0,1,0,-17806273,28914686527] 1
34496cb (1 curve)	0	2- 7+ 11+	2- -1 -2 7+ 11+ -3 -2  4
Curve Equation t 34496cb1 [0,-1,0,-36129,-2146367] 1
34496cc (1 curve)	0	2- 7+ 11+	2-  3 -2 7+ 11+  7  2  0
Curve Equation t 34496cc1 [0,0,0,-17836,-729904] 1
34496cd (1 curve)	0	2- 7+ 11+	2- -3  4 7+ 11+  1  2  6
Curve Equation t 34496cd1 [0,0,0,-1960588,1056632080] 1
34496ce (2 curves)	1	2- 7- 11+	2-  0  0 7- 11+ -6  0  2
Curve Equation t Generators 34496ce1 [0,0,0,16660,235984] 2 [18:736:1] 34496ce2 [0,0,0,-69580,1926288] 2 [557:11661:1]
34496cf (4 curves)	1	2- 7- 11+	2-  0  2 7- 11+  2 -2  0
Curve Equation t Generators 34496cf1 [0,0,0,-11564,-15745072] 2 [2653292:57194192:4913] 34496cf2 [0,0,0,-1015084,-389455920] 4 [341902818577810:-57843233188263936:11930499125] 34496cf3 [0,0,0,-1893164,385010640] 2 [2344804:63596120:12167] 34496cf4 [0,0,0,-16193324,-25081416752] 2 [14328930:4848353216:125]
34496cg (2 curves)	1	2- 7- 11+	2-  0  2 7- 11+  4  2 -6
Curve Equation t Generators 34496cg1 [0,0,0,-1216964,517386688] 2 [16023:55223:27] 34496cg2 [0,0,0,-19478284,33088277040] 2 [23608137:895735:9261]
34496ch (4 curves)	1	2- 7- 11+	2-  0 -2 7- 11+  2  2  4
Curve Equation t Generators 34496ch1 [0,0,0,-5096,-139944] 2 [20670:235152:125] 34496ch2 [0,0,0,-6076,-82320] 4 [634:15840:1] 34496ch3 [0,0,0,21364,-620144] 2 [378:7840:1] 34496ch4 [0,0,0,-49196,4143440] 2 [-203:2401:1]
34496ci (2 curves)	1	2- 7- 11+	2-  0 -2 7- 11+ -4 -2  6
Curve Equation t Generators 34496ci1 [0,0,0,-24836,-1508416] 2 [245:2667:1] 34496ci2 [0,0,0,-397516,-96467280] 2 [38559:1280287:27]
34496cj (2 curves)	1	2- 7- 11+	2-  0 -4 7- 11+  2  4  6
Curve Equation t Generators 34496cj1 [0,0,0,-91532,10838800] 2 [162:512:1] 34496cj2 [0,0,0,-1471372,686960400] 2 [-672:37044:1]
34496ck (1 curve)	1	2- 7- 11+	2-  1  1 7- 11+ -2  0 -2
Curve Equation t Generators 34496ck1 [0,1,0,-555,4871] 1 [-26:49:1]
34496cl (1 curve)	1	2- 7- 11+	2-  1  2 7- 11+  3  2 -4
Curve Equation t Generators 34496cl1 [0,1,0,-737,6047] 1 [-31:8:1]
34496cm (1 curve)	1	2- 7- 11+	2-  1 -3 7- 11+  6  0 -6
Curve Equation t Generators 34496cm1 [0,1,0,-947,-24529] 1 [2942:159593:1]
34496cn (2 curves)	1	2- 7- 11+	2- -1  0 7- 11+ -1  6 -2
Curve Equation t Generators 34496cn1 [0,-1,0,-80033,8522305] 1 [135:400:1] 34496cn2 [0,-1,0,-848353,-297422719] 1 [-54594871:179826800:103823]
34496co (2 curves)	1	2- 7- 11+	2- -1  0 7- 11+  5 -6 -2
Curve Equation t Generators 34496co1 [0,-1,0,-4993,-86239] 1 [-681:4096:27] 34496co2 [0,-1,0,-363393,-84195551] 1 [-1173765:3968:3375]
34496cp (3 curves)	1	2- 7- 11+	2- -1  3 7- 11+ -4  6 -2
Curve Equation t Generators 34496cp1 [0,-1,0,-17509,897611] 1 [110:539:1] 34496cp2 [0,-1,0,-9669,1695331] 1 [8430:144991:125] 34496cp3 [0,-1,0,86371,-43827629] 1 [2009534499810:-77501377056103:1386195875]
34496cq (2 curves)	1	2- 7- 11+	2- -1 -3 7- 11+ -4 -6 -8
Curve Equation t Generators 34496cq1 [0,-1,0,523,-5459] 1 [12:49:1] 34496cq2 [0,-1,0,-15157,-717331] 1 [460:9457:1]
34496cr (2 curves)	1	2- 7- 11+	2-  2  0 7- 11+  2  2 -4
Curve Equation t Generators 34496cr1 [0,-1,0,-4573,116061] 2 [41259:1610776:27] 34496cr2 [0,-1,0,2287,427505] 2 [6109:477456:1]
34496cs (2 curves)	1	2- 7- 11+	2-  2  2 7- 11+  4  0  4
Curve Equation t Generators 34496cs1 [0,-1,0,-2417,-75823] 2 [133:1392:1] 34496cs2 [0,-1,0,-45537,-3723775] 2 [6825:24940:27]
34496ct (2 curves)	1	2- 7- 11+	2- -2  0 7- 11+  0  6  6
Curve Equation t Generators 34496ct1 [0,1,0,-15353,801415] 2 [51:392:1] 34496ct2 [0,1,0,-252513,48755167] 2 [303:-392:1]
34496cu (2 curves)	1	2- 7- 11+	2- -2  0 7- 11+ -2 -2  4
Curve Equation t Generators 34496cu1 [0,1,0,-93,-365] 2 [11:8:1] 34496cu2 [0,1,0,47,-1233] 2 [23:112:1]
34496cv (2 curves)	1	2- 7- 11+	2- -2  2 7- 11+  0 -4 -4
Curve Equation t Generators 34496cv1 [0,1,0,750223,265386127] 2 [79:18032:1] 34496cv2 [0,1,0,-4467297,2547529375] 2 [2741:104420:1]
34496cw (2 curves)	1	2- 7- 11+	2- -2  4 7- 11+  4  6 -2
Curve Equation t Generators 34496cw1 [0,1,0,6599,2360007] 2 [58:1715:1] 34496cw2 [0,1,0,-230561,41017087] 2 [-467:6860:1]
34496cx (1 curve)	1	2- 7- 11+	2-  3 -1 7- 11+ -4 -2  6
Curve Equation t Generators 34496cx1 [0,0,0,392,686] 1 [-693:12887:729]
34496cy (1 curve)	1	2- 7- 11+	2-  3 -3 7- 11+  0  6 -4
Curve Equation t Generators 34496cy1 [0,0,0,-784,10976] 1 [651:2107:27]
34496cz (1 curve)	1	2- 7- 11+	2-  3 -4 7- 11+ -1 -2 -6
Curve Equation t Generators 34496cz1 [0,0,0,-40012,-3080560] 1 [-61241508:1237888:531441]
34496da (1 curve)	1	2- 7- 11+	2- -3  1 7- 11+ -6  4 -6
Curve Equation t Generators 34496da1 [0,0,0,98,-4802] 1 [49:343:1]
34496db (1 curve)	1	2- 7- 11+	2- -3  2 7- 11+ -7 -2  0
Curve Equation t Generators 34496db1 [0,0,0,-364,2128] 1 [-6:64:1]
34496dc (2 curves)	0	2- 7- 11-	2-  0  2 7- 11-  4  2  6
Curve Equation t 34496dc1 [0,0,0,-1216964,-517386688] 2 34496dc2 [0,0,0,-19478284,-33088277040] 2
34496dd (2 curves)	2	2- 7- 11-	2-  0 -2 7- 11- -4 -2 -6
Curve Equation t Generators 34496dd1 [0,0,0,-24836,1508416] 2 [16:-1056:1]&[-126:1624:1] 34496dd2 [0,0,0,-397516,96467280] 2 [368:-132:1]&[-336:13860:1]
34496de (3 curves)	0	2- 7- 11-	2-  1  1 7- 11-  4  2  0
Curve Equation t 34496de1 [0,1,0,-65,461] 1 34496de2 [0,1,0,-2025,-64219] 1 34496de3 [0,1,0,-1532785,-730926659] 1
34496df (1 curve)	0	2- 7- 11-	2-  1 -1 7- 11-  0  2  2
Curve Equation t 34496df1 [0,1,0,-261,539363] 1
34496dg (1 curve)	0	2- 7- 11-	2-  1 -1 7- 11- -4  6  2
Curve Equation t 34496dg1 [0,1,0,-4181,113651] 1
34496dh (1 curve)	0	2- 7- 11-	2- -1  1 7- 11- -2  0  2
Curve Equation t 34496dh1 [0,-1,0,-555,-4871] 1
34496di (1 curve)	0	2- 7- 11-	2- -1 -3 7- 11-  6  0  6
Curve Equation t 34496di1 [0,-1,0,-947,24529] 1
34496dj (2 curves)	0	2- 7- 11-	2-  2  0 7- 11-  0  6 -6
Curve Equation t 34496dj1 [0,-1,0,-15353,-801415] 2 34496dj2 [0,-1,0,-252513,-48755167] 2
34496dk (2 curves)	0	2- 7- 11-	2-  2 -2 7- 11-  2  0  2
Curve Equation t 34496dk1 [0,-1,0,831,-4255] 2 34496dk2 [0,-1,0,-3649,-32031] 2
34496dl (2 curves)	0	2- 7- 11-	2-  2  4 7- 11-  4  6  2
Curve Equation t 34496dl1 [0,-1,0,6599,-2360007] 2 34496dl2 [0,-1,0,-230561,-41017087] 2
34496dm (2 curves)	0	2- 7- 11-	2-  2 -4 7- 11- -2  2  8
Curve Equation t 34496dm1 [0,-1,0,-19665,1151921] 2 34496dm2 [0,-1,0,-321505,70273281] 2
34496dn (2 curves)	0	2- 7- 11-	2- -2  2 7- 11- -2  0 -2
Curve Equation t 34496dn1 [0,1,0,40703,1378047] 2 34496dn2 [0,1,0,-178817,11344255] 2
34496do (2 curves)	0	2- 7- 11-	2- -2  2 7- 11- -4  0 -4
Curve Equation t 34496do1 [0,1,0,-45537,-3882593] 2 34496do2 [0,1,0,-735457,-243008865] 2
34496dp (2 curves)	0	2- 7- 11-	2- -2 -2 7- 11-  4 -4  0
Curve Equation t 34496dp1 [0,1,0,10911,1668127] 2 34496dp2 [0,1,0,-161569,23021151] 2
34496dq (2 curves)	0	2- 7- 11-	2- -2  4 7- 11-  2 -2 -8
Curve Equation t 34496dq1 [0,1,0,-401,-3473] 2 34496dq2 [0,1,0,-6561,-206753] 2
34496dr (1 curve)	0	2- 7- 11-	2-  3  1 7- 11- -6  4  6
Curve Equation t 34496dr1 [0,0,0,98,4802] 1

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

Part of Computational Number Theory
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