Cremona's table of elliptic curves

31878 = 2 · 3² · 7 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
31878a (1 curve)	2	2+ 3+ 7+ 11- 23+	2+ 3+ -2 7+ 11- -3 -3 -1
Curve Equation t Generators 31878a1 [1,-1,0,-813,-29191] 1 [73:508:1]&[44:115:1]
31878b (2 curves)	2	2+ 3+ 7+ 11- 23+	2+ 3+ -2 7+ 11- -6  0 -4
Curve Equation t Generators 31878b1 [1,-1,0,-768,8960] 2 [16:-32:1]&[-5:115:1] 31878b2 [1,-1,0,-12528,542864] 2 [59:51:1]&[-4:772:1]
31878c (1 curve)	2	2+ 3+ 7- 11+ 23+	2+ 3+ -2 7- 11+ -3  3 -3
Curve Equation t Generators 31878c1 [1,-1,0,552,63296] 1 [-35:31:1]&[-16:232:1]
31878d (1 curve)	2	2+ 3- 7+ 11+ 23+	2+ 3-  0 7+ 11+ -1 -5 -5
Curve Equation t Generators 31878d1 [1,-1,0,-117,553] 1 [2:-19:1]&[-7:35:1]
31878e (1 curve)	0	2+ 3- 7+ 11+ 23+	2+ 3-  1 7+ 11+  3  0 -6
Curve Equation t 31878e1 [1,-1,0,-1044,-128304] 1
31878f (1 curve)	1	2+ 3- 7+ 11+ 23-	2+ 3-  1 7+ 11+  1 -4 -6
Curve Equation t Generators 31878f1 [1,-1,0,3051,6691] 1 [5:146:1]
31878g (4 curves)	1	2+ 3- 7+ 11+ 23-	2+ 3- -2 7+ 11+ -2  2  0
Curve Equation t Generators 31878g1 [1,-1,0,134442,-263804684] 2 [289905:13841014:125] 31878g2 [1,-1,0,-5441238,-4725463820] 4 [-1287:12661:1] 31878g3 [1,-1,0,-13820598,13345463956] 2 [5337:299954:1] 31878g4 [1,-1,0,-86272758,-308409484460] 2 [1477495:70316797:125]
31878h (1 curve)	1	2+ 3- 7+ 11- 23+	2+ 3- -2 7+ 11-  0  0 -4
Curve Equation t Generators 31878h1 [1,-1,0,-483,-3979] 1 [705:362:27]
31878i (4 curves)	1	2+ 3- 7+ 11- 23+	2+ 3- -2 7+ 11- -6  6  8
Curve Equation t Generators 31878i1 [1,-1,0,-2976783,-2864179171] 2 [288362670:3909678827:132651] 31878i2 [1,-1,0,-53348163,-149938534495] 4 [467077:318941521:1] 31878i3 [1,-1,0,-59108973,-115561476901] 2 [12611145:8611376341:27] 31878i4 [1,-1,0,-853529433,-9597678789385] 2 [2296463615:-1568062287850:4913]
31878j (1 curve)	0	2+ 3- 7+ 11- 23-	2+ 3-  1 7+ 11-  3  2  1
Curve Equation t 31878j1 [1,-1,0,-7974,273496] 1
31878k (2 curves)	1	2+ 3- 7- 11+ 23+	2+ 3- -1 7- 11+ -1  2 -5
Curve Equation t Generators 31878k1 [1,-1,0,-2328165,-1272505451] 1 [-966:9107:1] 31878k2 [1,-1,0,-283521105,1837564802689] 1 [42686160:3822822773:6859]
31878l (1 curve)	1	2+ 3- 7- 11+ 23+	2+ 3-  2 7- 11+ -4 -4  4
Curve Equation t Generators 31878l1 [1,-1,0,279,27085] 1 [543:12380:1]
31878m (4 curves)	1	2+ 3- 7- 11+ 23+	2+ 3- -2 7- 11+  2 -2  0
Curve Equation t Generators 31878m1 [1,-1,0,-1188,-14256] 2 [-15:12:1] 31878m2 [1,-1,0,-4068,84240] 4 [-9:351:1] 31878m3 [1,-1,0,7812,476280] 2 [63:1071:1] 31878m4 [1,-1,0,-62028,5961384] 2 [165:363:1]
31878n (2 curves)	0	2+ 3- 7- 11+ 23-	2+ 3- -3 7- 11+  5  0  5
Curve Equation t 31878n1 [1,-1,0,-2196,9936] 1 31878n2 [1,-1,0,-136836,19516896] 3
31878o (2 curves)	0	2+ 3- 7- 11+ 23-	2+ 3-  4 7- 11+  0  2  0
Curve Equation t 31878o1 [1,-1,0,34740,-847152] 2 31878o2 [1,-1,0,-147420,-6858432] 2
31878p (1 curve)	2	2+ 3- 7- 11- 23+	2+ 3- -4 7- 11- -1 -7  1
Curve Equation t Generators 31878p1 [1,-1,0,-11394,2196904] 1 [92:-1432:1]&[-139:1109:1]
31878q (2 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  0 7- 11- -1  3  5
Curve Equation t Generators 31878q1 [1,-1,0,-3387273237,75882571232373] 1 [35386:555747:1] 31878q2 [1,-1,0,-274371542037,55316825404416117] 3 [-461894:289201475:1]
31878r (4 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  0 7- 11-  2  0 -4
Curve Equation t Generators 31878r1 [1,-1,0,-274842,-60736716] 2 [5787:435429:1] 31878r2 [1,-1,0,-4514202,-3690476748] 2 [3108:109326:1] 31878r3 [1,-1,0,1741158,104688180] 6 [-28699986:6772973271:941192] 31878r4 [1,-1,0,-7019082,845804484] 6 [237300:115470978:1]
31878s (2 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  0 7- 11- -2  4  8
Curve Equation t Generators 31878s1 [1,-1,0,-117,-3483] 2 [34:159:1] 31878s2 [1,-1,0,-4257,-105327] 2 [-38:41:1]
31878t (2 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  0 7- 11- -4  6 -4
Curve Equation t Generators 31878t1 [1,-1,0,198,108] 1 [1:17:1] 31878t2 [1,-1,0,-2952,65502] 3 [-17:341:1]
31878u (2 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  0 7- 11-  6 -4 -2
Curve Equation t Generators 31878u1 [1,-1,0,-34902,-2503872] 2 [262:2376:1] 31878u2 [1,-1,0,-558612,-160559550] 2 [2539:120320:1]
31878v (6 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  2 7- 11- -2 -2 -4
Curve Equation t Generators 31878v1 [1,-1,0,937944,-45130176] 2 [448:21336:1] 31878v2 [1,-1,0,-3785976,-359743248] 4 [3004:-125472:1] 31878v3 [1,-1,0,-38792556,92582726652] 4 [-951:359103:1] 31878v4 [1,-1,0,-44362116,-113494136796] 2 [11023:852846:1] 31878v5 [1,-1,0,-17796546,192393558990] 2 [15:438315:1] 31878v6 [1,-1,0,-619893846,5940669888954] 2 [17683:-721669:1]
31878w (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3-  3 7- 11-  1 -2 -1
Curve Equation t Generators 31878w1 [1,-1,0,-22923,1296837] 1 [22:885:1]
31878x (1 curve)	1	2- 3+ 7+ 11+ 23-	2- 3+  2 7+ 11+ -3  3 -1
Curve Equation t Generators 31878x1 [1,-1,1,-7319,795475] 1 [-610:7915:8]
31878y (2 curves)	1	2- 3+ 7+ 11+ 23-	2- 3+  2 7+ 11+ -6  0 -4
Curve Equation t Generators 31878y1 [1,-1,1,-6914,-235007] 2 [1069:34295:1] 31878y2 [1,-1,1,-112754,-14544575] 2 [475:5999:1]
31878z (1 curve)	1	2- 3+ 7- 11- 23-	2- 3+  2 7- 11- -3 -3 -3
Curve Equation t Generators 31878z1 [1,-1,1,61,-2365] 1 [15:34:1]
31878ba (1 curve)	1	2- 3- 7+ 11+ 23+	2- 3- -1 7+ 11+ -3 -2  1
Curve Equation t Generators 31878ba1 [1,-1,1,-116078,15244413] 1 [153:947:1]
31878bb (4 curves)	1	2- 3- 7+ 11+ 23+	2- 3-  2 7+ 11+ -6 -2  4
Curve Equation t Generators 31878bb1 [1,-1,1,-9014,-327099] 2 [845:23967:1] 31878bb2 [1,-1,1,-9734,-271227] 4 [-33:131:1] 31878bb3 [1,-1,1,24286,-1768107] 2 [3369:194045:1] 31878bb4 [1,-1,1,-55274,4792821] 2 [165:297:1]
31878bc (1 curve)	1	2- 3- 7+ 11+ 23+	2- 3- -2 7+ 11+ -4  0  4
Curve Equation t Generators 31878bc1 [1,-1,1,-15941,-2413763] 1 [275:3596:1]
31878bd (1 curve)	0	2- 3- 7+ 11- 23+	2- 3-  0 7+ 11- -1  3 -1
Curve Equation t 31878bd1 [1,-1,1,-11275115,14599151039] 1
31878be (1 curve)	0	2- 3- 7- 11+ 23+	2- 3-  1 7- 11+  5  4  0
Curve Equation t 31878be1 [1,-1,1,-570497,-165713263] 1
31878bf (2 curves)	0	2- 3- 7- 11+ 23+	2- 3- -2 7- 11+ -4  4  6
Curve Equation t 31878bf1 [1,-1,1,12593929,-32476743025] 2 31878bf2 [1,-1,1,-108633551,-366919114849] 2
31878bg (2 curves)	0	2- 3- 7- 11+ 23+	2- 3- -3 7- 11+ -1 -6 -1
Curve Equation t 31878bg1 [1,-1,1,-2804,50699] 1 31878bg2 [1,-1,1,-219119,39533879] 3
31878bh (1 curve)	0	2- 3- 7- 11+ 23+	2- 3-  4 7- 11+ -1  1 -3
Curve Equation t 31878bh1 [1,-1,1,922,-17611] 1
31878bi (1 curve)	1	2- 3- 7- 11+ 23-	2- 3-  0 7- 11+  0  2  4
Curve Equation t Generators 31878bi1 [1,-1,1,-4520,1273195] 1 [-115:569:1]
31878bj (2 curves)	1	2- 3- 7- 11+ 23-	2- 3-  0 7- 11+  0  2  4
Curve Equation t Generators 31878bj1 [1,-1,1,115,-170459] 2 [77:500:1] 31878bj2 [1,-1,1,-45425,-3649715] 2 [-125:314:1]
31878bk (2 curves)	1	2- 3- 7- 11+ 23-	2- 3-  0 7- 11+  0  2 -6
Curve Equation t Generators 31878bk1 [1,-1,1,-53825,16914381] 2 [827:22770:1] 31878bk2 [1,-1,1,-1371515,617253945] 2 [-3810:274635:8]
31878bl (4 curves)	1	2- 3- 7- 11+ 23-	2- 3-  0 7- 11+ -4  6 -4
Curve Equation t Generators 31878bl1 [1,-1,1,330160,297908003] 2 [104295:4193567:125] 31878bl2 [1,-1,1,-5180180,4212453539] 2 [150899805:1123832843:91125] 31878bl3 [1,-1,1,-25691495,50163161375] 6 [771:175150:1] 31878bl4 [1,-1,1,-411142055,3208853410463] 6 [-20187:1821658:1]
31878bm (1 curve)	1	2- 3- 7- 11+ 23-	2- 3-  3 7- 11+ -3 -4 -3
Curve Equation t Generators 31878bm1 [1,-1,1,-446,-3171] 1 [-9:11:1]
31878bn (1 curve)	1	2- 3- 7- 11+ 23-	2- 3- -3 7- 11+ -3 -4  6
Curve Equation t Generators 31878bn1 [1,-1,1,5322901,-8931881541] 1 [1967:94650:1]
31878bo (2 curves)	1	2- 3- 7- 11- 23+	2- 3- -2 7- 11-  0  0 -2
Curve Equation t Generators 31878bo1 [1,-1,1,-1065521,427837537] 2 [1975:76628:1] 31878bo2 [1,-1,1,-17095601,27210895201] 2 [2371:-2572:1]
31878bp (2 curves)	1	2- 3- 7- 11- 23+	2- 3- -3 7- 11- -1  0  2
Curve Equation t Generators 31878bp1 [1,-1,1,-20939,-1162573] 1 [237:2554:1] 31878bp2 [1,-1,1,31846,-5615143] 3 [129:727:1]
31878bq (2 curves)	0	2- 3- 7- 11- 23-	2- 3-  0 7- 11-  5  3  5
Curve Equation t 31878bq1 [1,-1,1,-75605,-7982611] 1 31878bq2 [1,-1,1,-51980,-13073137] 3
31878br (2 curves)	0	2- 3- 7- 11- 23-	2- 3-  2 7- 11- -6  6 -6
Curve Equation t 31878br1 [1,-1,1,-1454,-24199] 2 31878br2 [1,-1,1,-24224,-1445047] 2
31878bs (1 curve)	0	2- 3- 7- 11- 23-	2- 3- -3 7- 11- -1  8  4
Curve Equation t 31878bs1 [1,-1,1,-464,-1187031] 1

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