Cremona's table of elliptic curves

118976 = 2⁶ · 11 · 13²

Class	r	Atkin-Lehner	Eigenvalues
118976a (1 curve)	1	2+ 11+ 13+	2+  0  1 -2 11+ 13+ -7  4
Curve Equation t Generators 118976a1 [0,0,0,13,-52] 1 [4:8:1]
118976b (1 curve)	1	2+ 11+ 13+	2+  0 -1 -2 11+ 13+ -7  4
Curve Equation t Generators 118976b1 [0,0,0,2197,114244] 1 [0:338:1]
118976c (1 curve)	1	2+ 11+ 13+	2+  0 -3  0 11+ 13+  7  8
Curve Equation t Generators 118976c1 [0,0,0,-2311244,-1353105936] 1 [2070:52272:1]
118976d (1 curve)	1	2+ 11+ 13+	2+  1 -1 -1 11+ 13+ -1 -4
Curve Equation t Generators 118976d1 [0,1,0,-362561,84125471] 1 [290:1859:1]
118976e (1 curve)	1	2+ 11+ 13+	2+  1 -1  2 11+ 13+ -4  2
Curve Equation t Generators 118976e1 [0,1,0,-901,-38219] 1 [6702804:17929717:148877]
118976f (1 curve)	1	2+ 11+ 13+	2+  1  3 -1 11+ 13+ -5  0
Curve Equation t Generators 118976f1 [0,1,0,-97569,-15360097] 1 [14608525:416795236:15625]
118976g (1 curve)	1	2+ 11+ 13+	2+  1 -3 -4 11+ 13+ -8 -6
Curve Equation t Generators 118976g1 [0,1,0,113,-2729] 1 [30:169:1]
118976h (1 curve)	1	2+ 11+ 13+	2+  1 -3  5 11+ 13+  7  0
Curve Equation t Generators 118976h1 [0,1,0,140383,193264319] 1 [611:22528:1]
118976i (2 curves)	1	2+ 11+ 13+	2+ -1 -3 -2 11+ 13+  6  8
Curve Equation t Generators 118976i1 [0,-1,0,1803,-34451] 1 [516:2197:27] 118976i2 [0,-1,0,-52277,-4609619] 1 [16254348:287655407:35937]
118976j (2 curves)	1	2+ 11+ 13+	2+  2  0  2 11+ 13+  0  7
Curve Equation t Generators 118976j1 [0,-1,0,21407,-1231647] 1 [61748511:830718208:658503] 118976j2 [0,-1,0,-573473,-168154975] 1 [88117167168850638590079:13127741134620685251936256:3965251302028939671]
118976k (1 curve)	1	2+ 11+ 13+	2+  2  1 -2 11+ 13+ -3  6
Curve Equation t Generators 118976k1 [0,-1,0,-225,23009] 1 [65:528:1]
118976l (2 curves)	1	2+ 11+ 13+	2+  2  3  1 11+ 13+  6  8
Curve Equation t Generators 118976l1 [0,-1,0,-70529,48159617] 1 [199927:4907904:343] 118976l2 [0,-1,0,632511,-1274258623] 1 [13631235617622805:-124632639231553536:14896015245125]
118976m (2 curves)	1	2+ 11+ 13+	2+  2  3 -2 11+ 13+ -3  2
Curve Equation t Generators 118976m1 [0,-1,0,-1889,42977] 1 [723:-2816:27] 118976m2 [0,-1,0,14751,-506143] 1 [595815:9285056:3375]
118976n (1 curve)	1	2+ 11+ 13+	2+ -2 -1 -1 11+ 13+  2 -4
Curve Equation t Generators 118976n1 [0,1,0,-714081,-321177089] 1 [1122:17069:1]
118976o (1 curve)	1	2+ 11+ 13+	2+ -2  3 -1 11+ 13+  2  4
Curve Equation t Generators 118976o1 [0,1,0,-97569,11706943] 1 [186:169:1]
118976p (1 curve)	1	2+ 11+ 13+	2+ -2  3  2 11+ 13+  1  6
Curve Equation t Generators 118976p1 [0,1,0,-4907046369,-132307275256961] 1 [1050239143030999276148770534463929139628837772116087419172988225445:179447282077503210399925610726274664630253782052960501998660693308416:11023373522301146742328910021239775008993980308692248633562375]
118976q (1 curve)	1	2+ 11+ 13+	2+ -2 -4  2 11+ 13+  8 -1
Curve Equation t Generators 118976q1 [0,1,0,-225,3199] 1 [-13:64:1]
118976r (1 curve)	1	2+ 11+ 13+	2+  3 -3  2 11+ 13+ -6  4
Curve Equation t Generators 118976r1 [0,0,0,-2704,70304] 1 [49335:621413:3375]
118976s (1 curve)	1	2+ 11+ 13+	2+ -3  1  4 11+ 13+ -4 -2
Curve Equation t Generators 118976s1 [0,0,0,10478,232882] 1 [6045:115427:125]
118976t (2 curves)	0	2+ 11+ 13-	2+  0  0 -4 11+ 13-  2 -4
Curve Equation t 118976t1 [0,0,0,-2080,-36504] 2 118976t2 [0,0,0,-1820,-45968] 2
118976u (1 curve)	2	2+ 11+ 13-	2+  0  1 -1 11+ 13-  0  4
Curve Equation t Generators 118976u1 [0,0,0,8788,-5940688] 1 [166:304:1]&[676:17576:1]
118976v (2 curves)	0	2+ 11+ 13-	2+  0  2  4 11+ 13- -2 -4
Curve Equation t 118976v1 [0,0,0,-364,8112] 2 118976v2 [0,0,0,-8684,310960] 2
118976w (1 curve)	0	2+ 11+ 13-	2+  0 -3 -1 11+ 13-  8 -4
Curve Equation t 118976w1 [0,0,0,-41329964,-105132355536] 1
118976x (1 curve)	0	2+ 11+ 13-	2+ -3 -1  1 11+ 13-  1  2
Curve Equation t 118976x1 [0,0,0,-2381548,-2239639376] 1
118976y (1 curve)	2	2+ 11- 13+	2+  0  1  2 11- 13+ -7 -4
Curve Equation t Generators 118976y1 [0,0,0,13,52] 1 [12:44:1]&[16:66:1]
118976z (1 curve)	2	2+ 11- 13+	2+  0 -1  2 11- 13+ -7 -4
Curve Equation t Generators 118976z1 [0,0,0,2197,-114244] 1 [40:194:1]&[35828:6781632:1]
118976ba (1 curve)	0	2+ 11- 13+	2+  0  3  0 11- 13+  7 -8
Curve Equation t 118976ba1 [0,0,0,-13676,-615888] 1
118976bb (3 curves)	0	2+ 11- 13+	2+  1  1  2 11- 13+ -2  0
Curve Equation t 118976bb1 [0,1,0,-225,3017] 1 118976bb2 [0,1,0,-6985,-409343] 1 118976bb3 [0,1,0,-5286545,-4680255943] 1
118976bc (2 curves)	0	2+ 11- 13+	2+  1  1 -3 11- 13+  3  0
Curve Equation t 118976bc1 [0,1,0,3028255,312056447] 1 118976bc2 [0,1,0,-302091105,-2021536776193] 1
118976bd (1 curve)	0	2+ 11- 13+	2+ -1 -1  2 11- 13+  0 -6
Curve Equation t 118976bd1 [0,-1,0,-163141,25423709] 1
118976be (1 curve)	0	2+ 11- 13+	2+ -1 -1  2 11- 13+  4 -2
Curve Equation t 118976be1 [0,-1,0,-1947781,1303582877] 1
118976bf (1 curve)	0	2+ 11- 13+	2+ -1  3  1 11- 13+ -5  0
Curve Equation t 118976bf1 [0,-1,0,-97569,15360097] 1
118976bg (2 curves)	0	2+ 11- 13+	2+ -1  3 -2 11- 13+  0  2
Curve Equation t 118976bg1 [0,-1,0,61291,-2678963] 1 118976bg2 [0,-1,0,-1128469,-471444403] 1
118976bh (1 curve)	0	2+ 11- 13+	2+ -1 -3  4 11- 13+ -8  6
Curve Equation t 118976bh1 [0,-1,0,113,2729] 1
118976bi (2 curves)	0	2+ 11- 13+	2+  2  0 -2 11- 13+  0 -7
Curve Equation t 118976bi1 [0,-1,0,3617727,-2691457471] 1 118976bi2 [0,-1,0,-96916993,-369824147967] 1
118976bj (1 curve)	0	2+ 11- 13+	2+  2 -1  2 11- 13+ -3 -6
Curve Equation t 118976bj1 [0,-1,0,-38081,50398529] 1
118976bk (2 curves)	0	2+ 11- 13+	2+  2 -3  2 11- 13+ -3 -2
Curve Equation t 118976bk1 [0,-1,0,-319297,93143361] 1 118976bk2 [0,-1,0,2492863,-1102024639] 1
118976bl (1 curve)	0	2+ 11- 13+	2+ -2  1  3 11- 13+ -6  0
Curve Equation t 118976bl1 [0,1,0,-225,-915329] 1
118976bm (1 curve)	0	2+ 11- 13+	2+ -2 -3 -2 11- 13+  1 -6
Curve Equation t 118976bm1 [0,1,0,-29035777,-60230725281] 1
118976bn (1 curve)	0	2+ 11- 13+	2+ -2  4 -2 11- 13+  8  1
Curve Equation t 118976bn1 [0,1,0,-38081,7180447] 1
118976bo (1 curve)	0	2+ 11- 13+	2+  3  1 -4 11- 13+ -4  2
Curve Equation t 118976bo1 [0,0,0,10478,-232882] 1
118976bp (1 curve)	0	2+ 11- 13+	2+ -3  3  3 11- 13+ -5  4
Curve Equation t 118976bp1 [0,0,0,19604,1089712] 1
118976bq (2 curves)	1	2+ 11- 13-	2+  0  0  4 11- 13-  2  4
Curve Equation t Generators 118976bq1 [0,0,0,-351520,-80199288] 2 [6664403508138:4080192205476772:17779581] 118976bq2 [0,0,0,-307580,-100991696] 2 [1499338:1835901144:1]
118976br (1 curve)	1	2+ 11- 13-	2+  0 -1  1 11- 13-  0 -4
Curve Equation t Generators 118976br1 [0,0,0,52,-2704] 1 [13:13:1]
118976bs (2 curves)	1	2+ 11- 13-	2+  0 -2 -4 11- 13- -2  4
Curve Equation t Generators 118976bs1 [0,0,0,-61516,17822064] 2 [1262:44160:1] 118976bs2 [0,0,0,-1467596,683179120] 2 [654:1760:1]
118976bt (1 curve)	1	2+ 11- 13-	2+  0  3  1 11- 13-  8  4
Curve Equation t Generators 118976bt1 [0,0,0,-244556,-47852688] 1 [37133733340717:3032795425826569:5535839609]
118976bu (1 curve)	1	2+ 11- 13-	2+ -3  1 -1 11- 13-  1 -2
Curve Equation t Generators 118976bu1 [0,0,0,-14092,-1019408] 1 [702:18304:1]
118976bv (4 curves)	0	2- 11+ 13+	2-  0  2 -4 11+ 13+ -6  4
Curve Equation t 118976bv1 [0,0,0,-32279,-2232152] 2 118976bv2 [0,0,0,-33124,-2109120] 4 118976bv3 [0,0,0,41236,-10229232] 2 118976bv4 [0,0,0,-121004,13885040] 2
118976bw (1 curve)	0	2- 11+ 13+	2-  0  3  0 11+ 13+  7  8
Curve Equation t 118976bw1 [0,0,0,-13676,615888] 1
118976bx (1 curve)	0	2- 11+ 13+	2-  1  1  4 11+ 13+  0  2
Curve Equation t 118976bx1 [0,1,0,-1915,31747] 1
118976by (1 curve)	0	2- 11+ 13+	2-  1 -1 -2 11+ 13+  0  6
Curve Equation t 118976by1 [0,1,0,-163141,-25423709] 1
118976bz (1 curve)	0	2- 11+ 13+	2-  1 -1 -2 11+ 13+  4  2
Curve Equation t 118976bz1 [0,1,0,-1947781,-1303582877] 1
118976ca (2 curves)	0	2- 11+ 13+	2-  1  3  2 11+ 13+  0 -2
Curve Equation t 118976ca1 [0,1,0,61291,2678963] 1 118976ca2 [0,1,0,-1128469,471444403] 1
118976cb (3 curves)	0	2- 11+ 13+	2- -1  1 -2 11+ 13+ -2  0
Curve Equation t 118976cb1 [0,-1,0,-225,-3017] 1 118976cb2 [0,-1,0,-6985,409343] 1 118976cb3 [0,-1,0,-5286545,4680255943] 1
118976cc (2 curves)	0	2- 11+ 13+	2- -1  1  3 11+ 13+  3  0
Curve Equation t 118976cc1 [0,-1,0,3028255,-312056447] 1 118976cc2 [0,-1,0,-302091105,2021536776193] 1
118976cd (1 curve)	0	2- 11+ 13+	2-  2  0 -2 11+ 13+  4 -5
Curve Equation t 118976cd1 [0,-1,0,1508607,-835431871] 1
118976ce (1 curve)	0	2- 11+ 13+	2-  2  1 -3 11+ 13+ -6  0
Curve Equation t 118976ce1 [0,-1,0,-225,915329] 1
118976cf (1 curve)	0	2- 11+ 13+	2-  2  1  5 11+ 13+  6 -4
Curve Equation t 118976cf1 [0,-1,0,216095,-680031] 1
118976cg (1 curve)	0	2- 11+ 13+	2-  2 -3  2 11+ 13+  1  6
Curve Equation t 118976cg1 [0,-1,0,-29035777,60230725281] 1
118976ch (1 curve)	0	2- 11+ 13+	2-  2  4  2 11+ 13+  8 -1
Curve Equation t 118976ch1 [0,-1,0,-38081,-7180447] 1
118976ci (2 curves)	0	2- 11+ 13+	2- -2  0  2 11+ 13+  0  7
Curve Equation t 118976ci1 [0,1,0,3617727,2691457471] 1 118976ci2 [0,1,0,-96916993,369824147967] 1
118976cj (1 curve)	0	2- 11+ 13+	2- -2  0 -2 11+ 13+  4 -5
Curve Equation t 118976cj1 [0,1,0,8927,383007] 1
118976ck (1 curve)	0	2- 11+ 13+	2- -2 -1 -2 11+ 13+ -3  6
Curve Equation t 118976ck1 [0,1,0,-38081,-50398529] 1
118976cl (2 curves)	0	2- 11+ 13+	2- -2 -3 -2 11+ 13+ -3  2
Curve Equation t 118976cl1 [0,1,0,-319297,-93143361] 1 118976cl2 [0,1,0,2492863,1102024639] 1
118976cm (1 curve)	0	2- 11+ 13+	2-  3  3 -3 11+ 13+ -5 -4
Curve Equation t 118976cm1 [0,0,0,19604,-1089712] 1
118976cn (1 curve)	0	2- 11+ 13+	2- -3  1  0 11+ 13+ -4  6
Curve Equation t 118976cn1 [0,0,0,338,-30758] 1
118976co (2 curves)	1	2- 11+ 13-	2-  0  0 -4 11+ 13-  2 -4
Curve Equation t Generators 118976co1 [0,0,0,-351520,80199288] 2 [337:99:1] 118976co2 [0,0,0,-307580,100991696] 2 [9125:870111:1]
118976cp (1 curve)	1	2- 11+ 13-	2-  0  1  3 11+ 13- -4  0
Curve Equation t Generators 118976cp1 [0,0,0,-53612,-4777968] 1 [41453204:830072672:79507]
118976cq (1 curve)	1	2- 11+ 13-	2-  0 -1 -1 11+ 13-  0  4
Curve Equation t Generators 118976cq1 [0,0,0,52,2704] 1 [0:52:1]
118976cr (1 curve)	1	2- 11+ 13-	2-  0 -1  3 11+ 13- -4  0
Curve Equation t Generators 118976cr1 [0,0,0,-9060428,10497195696] 1 [13013:1447823:1]
118976cs (2 curves)	1	2- 11+ 13-	2-  0 -2  4 11+ 13- -2 -4
Curve Equation t Generators 118976cs1 [0,0,0,-61516,-17822064] 2 [1248518706078:50763534381568:736314327] 118976cs2 [0,0,0,-1467596,-683179120] 2 [2330846:188851872:343]
118976ct (1 curve)	1	2- 11+ 13-	2-  0  3 -1 11+ 13-  8 -4
Curve Equation t Generators 118976ct1 [0,0,0,-244556,47852688] 1 [2912:155012:1]
118976cu (1 curve)	1	2- 11+ 13-	2-  3  1  1 11+ 13-  1  2
Curve Equation t Generators 118976cu1 [0,0,0,-14092,1019408] 1 [3783:36179:27]
118976cv (4 curves)	1	2- 11- 13+	2-  0  2  4 11- 13+ -6 -4
Curve Equation t Generators 118976cv1 [0,0,0,-32279,2232152] 2 [500284738850:13957582158429:614125000] 118976cv2 [0,0,0,-33124,2109120] 4 [-883779:7364175:4913] 118976cv3 [0,0,0,41236,10229232] 2 [-5560781583:-83450559275:45499293] 118976cv4 [0,0,0,-121004,-13885040] 2 [-3786:15400:27]
118976cw (1 curve)	1	2- 11- 13+	2-  0 -3  0 11- 13+  7 -8
Curve Equation t Generators 118976cw1 [0,0,0,-2311244,1353105936] 1 [845:1859:1]
118976cx (2 curves)	1	2- 11- 13+	2-  1 -3  2 11- 13+  6 -8
Curve Equation t Generators 118976cx1 [0,1,0,1803,34451] 1 [7378:99203:343] 118976cx2 [0,1,0,-52277,4609619] 1 [134:169:1]
118976cy (1 curve)	1	2- 11- 13+	2- -1  1 -4 11- 13+  0 -2
Curve Equation t Generators 118976cy1 [0,-1,0,-1915,-31747] 1 [11980:101231:125]
118976cz (1 curve)	1	2- 11- 13+	2- -1 -1  1 11- 13+ -1  4
Curve Equation t Generators 118976cz1 [0,-1,0,-362561,-84125471] 1 [23877:3688256:1]
118976da (1 curve)	1	2- 11- 13+	2- -1 -1 -2 11- 13+ -4 -2
Curve Equation t Generators 118976da1 [0,-1,0,-901,38219] 1 [22:169:1]
118976db (1 curve)	1	2- 11- 13+	2- -1 -3 -5 11- 13+  7  0
Curve Equation t Generators 118976db1 [0,-1,0,140383,-193264319] 1 [555:7436:1]
118976dc (1 curve)	1	2- 11- 13+	2-  2  0  2 11- 13+  4  5
Curve Equation t Generators 118976dc1 [0,-1,0,8927,-383007] 1 [1299:10648:27]
118976dd (1 curve)	1	2- 11- 13+	2-  2 -1  1 11- 13+  2  4
Curve Equation t Generators 118976dd1 [0,-1,0,-714081,321177089] 1 [-277:22308:1]
118976de (1 curve)	1	2- 11- 13+	2-  2  3  1 11- 13+  2 -4
Curve Equation t Generators 118976de1 [0,-1,0,-97569,-11706943] 1 [1222587245:104700081252:166375]
118976df (1 curve)	1	2- 11- 13+	2-  2  3 -2 11- 13+  1 -6
Curve Equation t Generators 118976df1 [0,-1,0,-4907046369,132307275256961] 1 [199697280737808393626800:1624483011800123398047201:5053391897341856921]
118976dg (1 curve)	1	2- 11- 13+	2-  2 -4 -2 11- 13+  8  1
Curve Equation t Generators 118976dg1 [0,-1,0,-225,-3199] 1 [543:64:27]
118976dh (1 curve)	1	2- 11- 13+	2- -2  0  2 11- 13+  4  5
Curve Equation t Generators 118976dh1 [0,1,0,1508607,835431871] 1 [14759:1799512:1]
118976di (2 curves)	1	2- 11- 13+	2- -2  0 -2 11- 13+  0 -7
Curve Equation t Generators 118976di1 [0,1,0,21407,1231647] 1 [151:2816:1] 118976di2 [0,1,0,-573473,168154975] 1 [12189:32768:27]
118976dj (1 curve)	1	2- 11- 13+	2- -2  1  2 11- 13+ -3 -6
Curve Equation t Generators 118976dj1 [0,1,0,-225,-23009] 1 [34:99:1]
118976dk (1 curve)	1	2- 11- 13+	2- -2  1 -5 11- 13+  6  4
Curve Equation t Generators 118976dk1 [0,1,0,216095,680031] 1 [719:22984:1]
118976dl (2 curves)	1	2- 11- 13+	2- -2  3 -1 11- 13+  6 -8
Curve Equation t Generators 118976dl1 [0,1,0,-70529,-48159617] 1 [306313:8414848:343] 118976dl2 [0,1,0,632511,1274258623] 1 [7791:692224:1]
118976dm (2 curves)	1	2- 11- 13+	2- -2  3  2 11- 13+ -3 -2
Curve Equation t Generators 118976dm1 [0,1,0,-1889,-42977] 1 [346:6391:1] 118976dm2 [0,1,0,14751,506143] 1 [66:1331:1]
118976dn (1 curve)	1	2- 11- 13+	2-  3  1  0 11- 13+ -4 -6
Curve Equation t Generators 118976dn1 [0,0,0,338,30758] 1 [4251:53911:27]
118976do (1 curve)	1	2- 11- 13+	2- -3 -3 -2 11- 13+ -6 -4
Curve Equation t Generators 118976do1 [0,0,0,-2704,-70304] 1 [65:169:1]
118976dp (2 curves)	0	2- 11- 13-	2-  0  0  4 11- 13-  2  4
Curve Equation t 118976dp1 [0,0,0,-2080,36504] 2 118976dp2 [0,0,0,-1820,45968] 2
118976dq (1 curve)	0	2- 11- 13-	2-  0  1  1 11- 13-  0 -4
Curve Equation t 118976dq1 [0,0,0,8788,5940688] 1
118976dr (1 curve)	2	2- 11- 13-	2-  0  1 -3 11- 13- -4  0
Curve Equation t Generators 118976dr1 [0,0,0,-53612,4777968] 1 [3666:-1144:27]&[38:1672:1]
118976ds (1 curve)	0	2- 11- 13-	2-  0 -1 -3 11- 13- -4  0
Curve Equation t 118976ds1 [0,0,0,-9060428,-10497195696] 1
118976dt (2 curves)	0	2- 11- 13-	2-  0  2 -4 11- 13- -2  4
Curve Equation t 118976dt1 [0,0,0,-364,-8112] 2 118976dt2 [0,0,0,-8684,-310960] 2
118976du (1 curve)	0	2- 11- 13-	2-  0 -3  1 11- 13-  8  4
Curve Equation t 118976du1 [0,0,0,-41329964,105132355536] 1
118976dv (1 curve)	0	2- 11- 13-	2-  3 -1 -1 11- 13-  1 -2
Curve Equation t 118976dv1 [0,0,0,-2381548,2239639376] 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
Back to Tables and computations