Cremona's table of elliptic curves

109368 = 2³ · 3² · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
109368a (1 curve)	1	2+ 3+ 7+ 31+	2+ 3+ -2 7+  3  6 -1  5
Curve Equation t Generators 109368a1 [0,0,0,-4116,86436] 1 [0:-294:1]
109368b (1 curve)	0	2+ 3+ 7+ 31-	2+ 3+  0 7+  5 -2 -3  5
Curve Equation t 109368b1 [0,0,0,-26460,-1656396] 1
109368c (2 curves)	2	2+ 3+ 7- 31+	2+ 3+  0 7-  4 -2 -6 -4
Curve Equation t Generators 109368c1 [0,0,0,-1470,21609] 2 [-27:204:1]&[0:147:1] 109368c2 [0,0,0,-735,43218] 2 [7:196:1]&[42:294:1]
109368d (1 curve)	0	2+ 3+ 7- 31+	2+ 3+  0 7-  5  2  3 -5
Curve Equation t 109368d1 [0,0,0,-1296540,568143828] 1
109368e (1 curve)	0	2+ 3+ 7- 31+	2+ 3+ -3 7- -1 -1 -3 -5
Curve Equation t 109368e1 [0,0,0,-308259,-71809794] 1
109368f (1 curve)	1	2+ 3+ 7- 31-	2+ 3+  2 7-  3 -6  1 -5
Curve Equation t Generators 109368f1 [0,0,0,-84,-252] 1 [-6:6:1]
109368g (1 curve)	1	2+ 3+ 7- 31-	2+ 3+  3 7- -4  5 -2  8
Curve Equation t Generators 109368g1 [0,0,0,1764,-138572] 1 [42:98:1]
109368h (2 curves)	1	2+ 3+ 7- 31-	2+ 3+  4 7- -4  2  2 -4
Curve Equation t Generators 109368h1 [0,0,0,882,73745] 2 [140:1715:1] 109368h2 [0,0,0,-21903,1190210] 2 [-5:1140:1]
109368i (2 curves)	1	2+ 3+ 7- 31-	2+ 3+ -4 7-  0  6 -2  4
Curve Equation t Generators 109368i1 [0,0,0,-74382,7825545] 2 [28:2401:1] 109368i2 [0,0,0,-1190847,500186610] 2 [627:132:1]
109368j (1 curve)	0	2+ 3- 7+ 31+	2+ 3-  2 7+  5  4  1  1
Curve Equation t 109368j1 [0,0,0,-78204,-8417612] 1
109368k (2 curves)	1	2+ 3- 7- 31+	2+ 3-  0 7-  2  6  2 -4
Curve Equation t Generators 109368k1 [0,0,0,-30135,1988714] 2 [235:2808:1] 109368k2 [0,0,0,-3675,5359718] 2 [-89:2232:1]
109368l (1 curve)	1	2+ 3- 7- 31+	2+ 3-  1 7-  2 -4 -4  7
Curve Equation t Generators 109368l1 [0,0,0,-61887,6540667] 1 [11:2421:1]
109368m (1 curve)	1	2+ 3- 7- 31+	2+ 3-  1 7- -3  1  1 -3
Curve Equation t Generators 109368m1 [0,0,0,-220182627,-2694050819138] 1 [1833402879109033783447393038466666:305563232987961339424653479429500581:50958695081718223708384765736]
109368n (2 curves)	1	2+ 3- 7- 31+	2+ 3-  2 7- -2  4  0  4
Curve Equation t Generators 109368n1 [0,0,0,-5503239,-21269460870] 2 [7444614073920471117503287549703121:-184026073261396435791126545702161440:2023704560607299987135241499003] 109368n2 [0,0,0,-153740979,-731654358498] 2 [-3717678736008554877:-9478303415005295556:499753361912293]
109368o (4 curves)	1	2+ 3- 7- 31+	2+ 3- -2 7-  0 -2 -2  0
Curve Equation t Generators 109368o1 [0,0,0,-37191,-2593766] 2 [-105:392:1] 109368o2 [0,0,0,-116571,12186790] 4 [-97:4752:1] 109368o3 [0,0,0,253869,73902094] 2 [246:12298:1] 109368o4 [0,0,0,-1757091,896427070] 2 [8338:112365:8]
109368p (1 curve)	1	2+ 3- 7- 31+	2+ 3- -3 7- -2  4  0 -1
Curve Equation t Generators 109368p1 [0,0,0,441,-9261] 1 [15:27:1]
109368q (2 curves)	0	2+ 3- 7- 31-	2+ 3-  0 7-  2  2 -2 -4
Curve Equation t 109368q1 [0,0,0,-1547175,740459482] 2 109368q2 [0,0,0,-1309035,976170454] 2
109368r (1 curve)	0	2+ 3- 7- 31-	2+ 3-  1 7-  0  7  8  6
Curve Equation t 109368r1 [0,0,0,-99372,-12058508] 1
109368s (1 curve)	0	2+ 3- 7- 31-	2+ 3-  1 7- -4 -4  2  2
Curve Equation t 109368s1 [0,0,0,-147,297038] 1
109368t (1 curve)	0	2+ 3- 7- 31-	2+ 3- -1 7-  4  2  0 -1
Curve Equation t 109368t1 [0,0,0,-42483,3380951] 1
109368u (2 curves)	0	2+ 3- 7- 31-	2+ 3-  2 7- -2 -4  6 -4
Curve Equation t 109368u1 [0,0,0,3381,-24010] 2 109368u2 [0,0,0,-14259,-196882] 2
109368v (4 curves)	2	2+ 3- 7- 31-	2+ 3-  2 7- -4 -2 -2 -4
Curve Equation t Generators 109368v1 [0,0,0,-20874,-798847] 2 [-56:441:1]&[4368:6517:27] 109368v2 [0,0,0,-128919,17201450] 4 [-350:4410:1]&[163:720:1] 109368v3 [0,0,0,56301,62580350] 2 [-257:5580:1]&[175:8820:1] 109368v4 [0,0,0,-2042859,1123841558] 2 [319:22464:1]&[679:7056:1]
109368w (2 curves)	0	2+ 3- 7- 31-	2+ 3-  2 7-  6  0  4  4
Curve Equation t 109368w1 [0,0,0,441,-277830] 2 109368w2 [0,0,0,-61299,-5723298] 2
109368x (4 curves)	0	2+ 3- 7- 31-	2+ 3- -2 7- -4  2  2  8
Curve Equation t 109368x1 [0,0,0,-460551,-92794534] 2 109368x2 [0,0,0,-6890331,-6961085530] 4 109368x3 [0,0,0,-6414051,-7964607490] 2 109368x4 [0,0,0,-110243091,-445528187314] 2
109368y (1 curve)	0	2+ 3- 7- 31-	2+ 3- -2 7-  5 -4 -1 -1
Curve Equation t 109368y1 [0,0,0,-3831996,2887240916] 1
109368z (1 curve)	0	2+ 3- 7- 31-	2+ 3-  3 7- -4  2 -8 -1
Curve Equation t 109368z1 [0,0,0,412629,-236406233] 1
109368ba (1 curve)	0	2+ 3- 7- 31-	2+ 3- -3 7-  5 -1  1 -7
Curve Equation t 109368ba1 [0,0,0,-14259,-877394] 1
109368bb (2 curves)	0	2+ 3- 7- 31-	2+ 3-  4 7- -6 -2  2  0
Curve Equation t 109368bb1 [0,0,0,3822,6028225] 2 109368bb2 [0,0,0,-474663,123257050] 2
109368bc (1 curve)	0	2- 3+ 7+ 31+	2- 3+  2 7+ -3  6  1  5
Curve Equation t 109368bc1 [0,0,0,-37044,-2333772] 1
109368bd (1 curve)	1	2- 3+ 7+ 31-	2- 3+  0 7+ -5 -2  3  5
Curve Equation t Generators 109368bd1 [0,0,0,-2940,61348] 1 [32:6:1]
109368be (2 curves)	1	2- 3+ 7- 31+	2- 3+  0 7- -4 -2  6 -4
Curve Equation t Generators 109368be1 [0,0,0,-13230,-583443] 2 [133:98:1] 109368be2 [0,0,0,-6615,-1166886] 2 [315:5292:1]
109368bf (1 curve)	1	2- 3+ 7- 31+	2- 3+  0 7- -5  2 -3 -5
Curve Equation t Generators 109368bf1 [0,0,0,-144060,-21042364] 1 [-5856:134:27]
109368bg (1 curve)	1	2- 3+ 7- 31+	2- 3+  3 7-  1 -1  3 -5
Curve Equation t Generators 109368bg1 [0,0,0,-34251,2659622] 1 [2114:27783:8]
109368bh (1 curve)	2	2- 3+ 7- 31-	2- 3+ -2 7- -3 -6 -1 -5
Curve Equation t Generators 109368bh1 [0,0,0,-756,6804] 1 [36:162:1]&[4:62:1]
109368bi (1 curve)	0	2- 3+ 7- 31-	2- 3+ -3 7-  4  5  2  8
Curve Equation t 109368bi1 [0,0,0,15876,3741444] 1
109368bj (2 curves)	0	2- 3+ 7- 31-	2- 3+  4 7-  0  6  2  4
Curve Equation t 109368bj1 [0,0,0,-669438,-211289715] 2 109368bj2 [0,0,0,-10717623,-13505038470] 2
109368bk (2 curves)	0	2- 3+ 7- 31-	2- 3+ -4 7-  4  2 -2 -4
Curve Equation t 109368bk1 [0,0,0,7938,-1991115] 2 109368bk2 [0,0,0,-197127,-32135670] 2
109368bl (1 curve)	0	2- 3- 7+ 31-	2- 3-  0 7+  1  4 -3  5
Curve Equation t 109368bl1 [0,0,0,-12415620,6191661364] 1
109368bm (1 curve)	0	2- 3- 7- 31+	2- 3-  0 7-  1 -4  3 -5
Curve Equation t 109368bm1 [0,0,0,-608365380,-2123739847852] 1
109368bn (2 curves)	0	2- 3- 7- 31+	2- 3-  0 7- -2  2 -2 -2
Curve Equation t 109368bn1 [0,0,0,-127155,-3890306] 2 109368bn2 [0,0,0,-1555995,-746029802] 2
109368bo (2 curves)	2	2- 3- 7- 31+	2- 3-  0 7- -2  2 -6 -8
Curve Equation t Generators 109368bo1 [0,0,0,-27930,2695637] 2 [-182:1323:1]&[14:1519:1] 109368bo2 [0,0,0,-506415,138681074] 2 [-182:14994:1]&[385:882:1]
109368bp (2 curves)	0	2- 3- 7- 31+	2- 3-  0 7- -2  6  6  0
Curve Equation t 109368bp1 [0,0,0,-52815,-4671758] 2 109368bp2 [0,0,0,-54075,-4437146] 2
109368bq (2 curves)	0	2- 3- 7- 31+	2- 3- -2 7- -4  2  2 -2
Curve Equation t 109368bq1 [0,0,0,-40131,2722734] 2 109368bq2 [0,0,0,-163611,-22689450] 2
109368br (1 curve)	0	2- 3- 7- 31+	2- 3-  3 7-  4 -3  0  0
Curve Equation t 109368br1 [0,0,0,-4116,1277332] 1
109368bs (1 curve)	0	2- 3- 7- 31+	2- 3- -3 7-  0 -3 -4 -6
Curve Equation t 109368bs1 [0,0,0,4084836,-32884668124] 1
109368bt (1 curve)	0	2- 3- 7- 31+	2- 3- -3 7-  6  0 -4  3
Curve Equation t 109368bt1 [0,0,0,3381,800219] 1
109368bu (2 curves)	0	2- 3- 7- 31+	2- 3-  4 7- -2 -6 -6  0
Curve Equation t 109368bu1 [0,0,0,-68943,-2184910] 2 109368bu2 [0,0,0,-624603,188406470] 2
109368bv (2 curves)	1	2- 3- 7- 31-	2- 3-  0 7- -2 -6 -6  0
Curve Equation t Generators 109368bv1 [0,0,0,-2587935,1602412994] 2 [-1127:55566:1] 109368bv2 [0,0,0,-2649675,1521941078] 2 [-1133:55404:1]
109368bw (1 curve)	1	2- 3- 7- 31-	2- 3-  1 7-  2  2 -6 -1
Curve Equation t Generators 109368bw1 [0,0,0,-147,9947] 1 [1:99:1]
109368bx (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7-  0  6  0  3
Curve Equation t Generators 109368bx1 [0,0,0,1617,-16121] 1 [65:603:1]
109368by (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7- -3  3  1  5
Curve Equation t Generators 109368by1 [0,0,0,469077,27103174] 1 [-14:41013:8]
109368bz (2 curves)	1	2- 3- 7- 31-	2- 3-  2 7- -4 -2 -2  2
Curve Equation t Generators 109368bz1 [0,0,0,-819,-7938] 2 [-14:28:1] 109368bz2 [0,0,0,-3339,66150] 2 [58:260:1]
109368ca (2 curves)	1	2- 3- 7- 31-	2- 3- -2 7-  0  2 -6 -6
Curve Equation t Generators 109368ca1 [0,0,0,-28371,-1728034] 2 [211:1296:1] 109368ca2 [0,0,0,24549,-7432810] 2 [1394:11691:8]
109368cb (4 curves)	1	2- 3- 7- 31-	2- 3- -2 7- -4  2  6 -4
Curve Equation t Generators 109368cb1 [0,0,0,-123186,-16641331] 2 [581:10388:1] 109368cb2 [0,0,0,-125391,-16014670] 4 [-182:882:1] 109368cb3 [0,0,0,112749,-69691426] 2 [539:12152:1] 109368cb4 [0,0,0,-398811,77768390] 2 [686:11270:1]
109368cc (1 curve)	1	2- 3- 7- 31-	2- 3- -3 7-  4  3  0  0
Curve Equation t Generators 109368cc1 [0,0,0,-84,-3724] 1 [28:-126:1]
109368cd (2 curves)	1	2- 3- 7- 31-	2- 3- -4 7- -2  6  6  0
Curve Equation t Generators 109368cd1 [0,0,0,-1407,6370] 2 [-19:162:1] 109368cd2 [0,0,0,-12747,-549290] 2 [-61:36:1]
109368ce (2 curves)	1	2- 3- 7- 31-	2- 3- -4 7- -6  6 -6 -6
Curve Equation t Generators 109368ce1 [0,0,0,-1658307,-813277010] 2 [-798:1372:1] 109368ce2 [0,0,0,-3087147,797025670] 2 [40026:8000132:1]

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