Cremona's table of elliptic curves

122694 = 2 · 3 · 11² · 13²

Class	r	Atkin-Lehner	Eigenvalues
122694a (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  0  0 11+ 13+  4  4
Curve Equation t Generators 122694a1 [1,1,0,7955165,-22777633523] 2 [35079819559:2264661539677:9393931] 122694a2 [1,1,0,-88415395,-284886282611] 2 [77820380115849645:6485727771928767316:5371327624697]
122694b (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  0  0 11+ 13+ -6 -6
Curve Equation t Generators 122694b1 [1,1,0,-726365,105764157] 2 [-219051:6145614:343] 122694b2 [1,1,0,-9723925,11660430709] 2 [-2465:144967:1]
122694c (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  1  1 11+ 13+ -5  2
Curve Equation t Generators 122694c1 [1,1,0,-2228437,-1283607827] 1 [311742107432917364805:734036780986011612591709:56203893222625]
122694d (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  1 -4 11+ 13+  5  7
Curve Equation t Generators 122694d1 [1,1,0,-1401182,547769292] 1 [-59695:4191219:125]
122694e (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+ -1  1 11+ 13+  5  2
Curve Equation t Generators 122694e1 [1,1,0,-45569318863,3750800834047909] 1 [17137139041701696891388486621168671020528017194290921055:123207142877838138109296389618772775590131269943591245677289:2118525038690461326027734100016661364653191502086375]
122694f (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+ -1 -4 11+ 13+ -5  7
Curve Equation t Generators 122694f1 [1,1,0,-68,-216] 1 [-5:8:1]
122694g (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  2 -2 11+ 13+ -4 -7
Curve Equation t Generators 122694g1 [1,1,0,-4644,-123768] 1 [171:1944:1]
122694h (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+ -2 -2 11+ 13+  4 -7
Curve Equation t Generators 122694h1 [1,1,0,-94975806,356224915116] 1 [-7089:824106:1]
122694i (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  3  0 11+ 13+  7 -5
Curve Equation t Generators 122694i1 [1,1,0,-1453091,669703533] 1 [-95802581:2110376964:79507]
122694j (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  3  3 11+ 13+ -1 -2
Curve Equation t Generators 122694j1 [1,1,0,504,-3648] 1 [83:745:1]
122694k (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  3  3 11+ 13+ -2 -2
Curve Equation t Generators 122694k1 [1,1,0,-4340261,-3484541133] 1 [32459175797:8308104650723:493039]
122694l (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+ -3  0 11+ 13+ -7 -5
Curve Equation t Generators 122694l1 [1,1,0,-2029524,-1107283536] 1 [-775:1317:1]
122694m (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+ -3  3 11+ 13+  1 -2
Curve Equation t Generators 122694m1 [1,1,0,10295646,11285457396] 1 [33789220538469845:3955808025152568498:23166186439843]
122694n (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -4 -4 11+ 13+ -2 -2
Curve Equation t Generators 122694n1 [1,1,0,-40765507,80821075405] 2 [1525785:842880967:3375] 122694n2 [1,1,0,-616609347,5892812952525] 2 [64875:56764660:27]
122694o (1 curve)	2	2+ 3+ 11- 13+	2+ 3+  1  0 11- 13+  2 -4
Curve Equation t Generators 122694o1 [1,1,0,-16942,-1081868] 1 [292:-4502:1]&[1327:47455:1]
122694p (1 curve)	0	2+ 3+ 11- 13+	2+ 3+  1 -2 11- 13+ -5 -2
Curve Equation t 122694p1 [1,1,0,-71997,285388173] 1
122694q (1 curve)	0	2+ 3+ 11- 13+	2+ 3+  1 -2 11- 13+ -5  5
Curve Equation t 122694q1 [1,1,0,-528167,-137736243] 1
122694r (1 curve)	0	2+ 3+ 11- 13+	2+ 3+  1  3 11- 13+ -5 -2
Curve Equation t 122694r1 [1,1,0,14518,1497852] 1
122694s (1 curve)	0	2+ 3+ 11- 13+	2+ 3+  1  4 11- 13+ -1  8
Curve Equation t 122694s1 [1,1,0,30248,3089728] 1
122694t (1 curve)	2	2+ 3+ 11- 13+	2+ 3+ -1  0 11- 13+  1 -4
Curve Equation t Generators 122694t1 [1,1,0,1277637,641691549] 1 [1227:63093:1]&[-346:12757:1]
122694u (1 curve)	2	2+ 3+ 11- 13+	2+ 3+ -1  0 11- 13+ -2 -4
Curve Equation t Generators 122694u1 [1,1,0,-23663,1764261] 1 [-1130:12733:8]&[70:-711:1]
122694v (4 curves)	0	2+ 3+ 11- 13+	2+ 3+ -2  0 11- 13+ -2  4
Curve Equation t 122694v1 [1,1,0,112044,322748496] 2 122694v2 [1,1,0,-6431636,6106052880] 4 122694v3 [1,1,0,-15429196,-14762887784] 2 122694v4 [1,1,0,-102132956,397237347720] 2
122694w (1 curve)	0	2+ 3+ 11- 13+	2+ 3+ -2 -2 11- 13+  4 -7
Curve Equation t 122694w1 [1,1,0,-8791,1689901] 1
122694x (4 curves)	0	2+ 3+ 11- 13+	2+ 3+ -2  4 11- 13+ -2 -8
Curve Equation t 122694x1 [1,1,0,-399181,-2026821155] 2 122694x2 [1,1,0,-26573901,-52256108835] 4 122694x3 [1,1,0,-47840861,43177247469] 2 122694x4 [1,1,0,-424102461,-3361840382259] 2
122694y (1 curve)	0	2+ 3+ 11- 13+	2+ 3+ -2  4 11- 13+  4 -1
Curve Equation t 122694y1 [1,1,0,41259,13120749] 1
122694z (1 curve)	0	2+ 3+ 11- 13+	2+ 3+  3 -1 11- 13+ -7  6
Curve Equation t 122694z1 [1,1,0,-603671,253487733] 1
122694ba (2 curves)	1	2+ 3+ 11- 13-	2+ 3+  0  0 11- 13-  0  0
Curve Equation t Generators 122694ba1 [1,1,0,-11768825,-54245223963] 2 [4190435126024899:927739452028024447:84662348471] 122694ba2 [1,1,0,-298872785,-1984674830211] 2 [18417324110608154419855976395:3859597473512278555961842070087:362684178299371199388391]
122694bb (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  0  0 11+ 13+  0  0
Curve Equation t 122694bb1 [1,0,1,398329,-54433546] 2 122694bb2 [1,0,1,-1851061,-467421550] 2
122694bc (1 curve)	0	2+ 3- 11+ 13+	2+ 3-  3  3 11+ 13+  6  6
Curve Equation t 122694bc1 [1,0,1,-882522,517696012] 1
122694bd (4 curves)	1	2+ 3- 11- 13+	2+ 3-  0  2 11- 13+  6 -4
Curve Equation t Generators 122694bd1 [1,0,1,-112896,-13780934] 2 [395:1617:1] 122694bd2 [1,0,1,91594,-58114366] 2 [35166:6577219:1] 122694bd3 [1,0,1,-1646571,809986582] 2 [-10772380:-188290289:8000] 122694bd4 [1,0,1,-828611,1615186406] 2 [-93849411180:-1816564046429:74088000]
122694be (4 curves)	1	2+ 3- 11- 13+	2+ 3-  0 -4 11- 13+  0 -4
Curve Equation t Generators 122694be1 [1,0,1,7350989,-5515298098] 2 [32878:-5997772:1] 122694be2 [1,0,1,-36818851,-48996088594] 2 [-2300:154517:1] 122694be3 [1,0,1,-76387666,343138965860] 2 [266742:47103815:8] 122694be4 [1,0,1,-1332774226,18725582002532] 2 [13404609330:1753243203613:343000]
122694bf (1 curve)	1	2+ 3- 11- 13+	2+ 3-  1 -2 11- 13+ -7  7
Curve Equation t Generators 122694bf1 [1,0,1,-685468,217333664] 1 [274:-7216:1]
122694bg (1 curve)	1	2+ 3- 11- 13+	2+ 3-  1 -4 11- 13+  7  0
Curve Equation t Generators 122694bg1 [1,0,1,-276488,-62531350] 1 [615:55:1]
122694bh (1 curve)	1	2+ 3- 11- 13+	2+ 3- -1 -2 11- 13+  3 -1
Curve Equation t Generators 122694bh1 [1,0,1,-12224,-183922] 1 [-78:583:1]
122694bi (1 curve)	1	2+ 3- 11- 13+	2+ 3-  2 -2 11- 13+  0 -1
Curve Equation t Generators 122694bi1 [1,0,1,-12510,-541136] 1 [806190:10328999:3375]
122694bj (2 curves)	1	2+ 3- 11- 13+	2+ 3-  2  4 11- 13+  0  2
Curve Equation t Generators 122694bj1 [1,0,1,-133345,26912576] 2 [249291:5953618:343] 122694bj2 [1,0,1,-2382735,1415236084] 2 [-7188:1220296:27]
122694bk (1 curve)	1	2+ 3- 11- 13+	2+ 3- -2  2 11- 13+  4  3
Curve Equation t Generators 122694bk1 [1,0,1,9798,13211746] 1 [2276:107613:1]
122694bl (2 curves)	1	2+ 3- 11- 13+	2+ 3- -3 -1 11- 13+  0  2
Curve Equation t Generators 122694bl1 [1,0,1,-2126420365,-37741933811320] 1 [17142770:5920708123:125] 122694bl2 [1,0,1,-1650674380,-55074169825270] 1 [11086234574460670:3859060660313650583:81182737000]
122694bm (2 curves)	1	2+ 3- 11- 13+	2+ 3- -3  2 11- 13+  3  2
Curve Equation t Generators 122694bm1 [1,0,1,-7505,-438748] 1 [219:-3014:1] 122694bm2 [1,0,1,63280,8197022] 1 [45087:-1509563:343]
122694bn (2 curves)	1	2+ 3- 11- 13+	2+ 3- -3 -4 11- 13+ -3 -7
Curve Equation t Generators 122694bn1 [1,0,1,-6983760,-7009056650] 1 [-1420:7425:1] 122694bn2 [1,0,1,-58821975,170277638650] 1 [19993950:540635293:5832]
122694bo (1 curve)	0	2+ 3- 11- 13-	2+ 3- -1  1 11- 13-  4  0
Curve Equation t 122694bo1 [1,0,1,-67279,-8734750] 1
122694bp (4 curves)	0	2+ 3- 11- 13-	2+ 3-  2 -2 11- 13- -2  6
Curve Equation t 122694bp1 [1,0,1,991350,157377196] 2 122694bp2 [1,0,1,-4325390,1310046428] 2 122694bp3 [1,0,1,-90722415,-332811440414] 2 122694bp4 [1,0,1,-1451807855,-21291893913886] 2
122694bq (2 curves)	0	2- 3+ 11+ 13+	2- 3+  0  0 11+ 13+ -4 -4
Curve Equation t 122694bq1 [1,1,1,962574902,30321843093719] 2 122694bq2 [1,1,1,-10698262858,379130150841047] 2
122694br (2 curves)	0	2- 3+ 11+ 13+	2- 3+  0  0 11+ 13+  6  6
Curve Equation t 122694br1 [1,1,1,-6003,-82191] 2 122694br2 [1,1,1,-80363,-8797183] 2
122694bs (1 curve)	0	2- 3+ 11+ 13+	2- 3+  1 -1 11+ 13+  5 -2
Curve Equation t 122694bs1 [1,1,1,-269640940,1707133813133] 1
122694bt (1 curve)	0	2- 3+ 11+ 13+	2- 3+  1  4 11+ 13+ -5 -7
Curve Equation t 122694bt1 [1,1,1,-11580,-416811] 1
122694bu (1 curve)	0	2- 3+ 11+ 13+	2- 3+ -1 -1 11+ 13+ -5 -2
Curve Equation t 122694bu1 [1,1,1,-376605941,-2818203366373] 1
122694bv (1 curve)	0	2- 3+ 11+ 13+	2- 3+ -1  4 11+ 13+  5 -7
Curve Equation t 122694bv1 [1,1,1,-8291,246137] 1
122694bw (1 curve)	0	2- 3+ 11+ 13+	2- 3+  2  2 11+ 13+  4  7
Curve Equation t 122694bw1 [1,1,1,-561987,161925369] 1
122694bx (1 curve)	0	2- 3+ 11+ 13+	2- 3+ -2  2 11+ 13+ -4  7
Curve Equation t 122694bx1 [1,1,1,-784924,-267993835] 1
122694by (1 curve)	0	2- 3+ 11+ 13+	2- 3+  3  0 11+ 13+ -7  5
Curve Equation t 122694by1 [1,1,1,-12009,-508617] 1
122694bz (1 curve)	0	2- 3+ 11+ 13+	2- 3+  3 -3 11+ 13+  1  2
Curve Equation t 122694bz1 [1,1,1,60921,5160189] 1
122694ca (1 curve)	0	2- 3+ 11+ 13+	2- 3+  3 -3 11+ 13+  2  2
Curve Equation t 122694ca1 [1,1,1,-525171644,4635298389899] 1
122694cb (1 curve)	0	2- 3+ 11+ 13+	2- 3+ -3  0 11+ 13+  7  5
Curve Equation t 122694cb1 [1,1,1,-245572467,1472566524177] 1
122694cc (1 curve)	0	2- 3+ 11+ 13+	2- 3+ -3 -3 11+ 13+ -1  2
Curve Equation t 122694cc1 [1,1,1,85088,-8440255] 1
122694cd (2 curves)	0	2- 3+ 11+ 13+	2- 3+ -4  4 11+ 13+  2  2
Curve Equation t 122694cd1 [1,1,1,-336905,-60875209] 2 122694cd2 [1,1,1,-5095945,-4429673929] 2
122694ce (1 curve)	1	2- 3+ 11- 13+	2- 3+  1  0 11- 13+  1  4
Curve Equation t Generators 122694ce1 [1,1,1,215920565,1408716730169] 1 [2879849611:996213869622:24389]
122694cf (1 curve)	1	2- 3+ 11- 13+	2- 3+  1  0 11- 13+ -2  4
Curve Equation t Generators 122694cf1 [1,1,1,-140,749] 1 [9:13:1]
122694cg (1 curve)	1	2- 3+ 11- 13+	2- 3+  1 -3 11- 13+  4 -2
Curve Equation t Generators 122694cg1 [1,1,1,-941080,-369874471] 1 [1799:-62247:1]
122694ch (1 curve)	1	2- 3+ 11- 13+	2- 3+  1 -4 11- 13+  1 -8
Curve Equation t Generators 122694ch1 [1,1,1,3659945,-4094128147] 1 [1451:64650:1]
122694ci (1 curve)	1	2- 3+ 11- 13+	2- 3+ -1  0 11- 13+  2  4
Curve Equation t Generators 122694ci1 [1,1,1,-2863286,-2362547725] 1 [9634119:789564089:1331]
122694cj (1 curve)	1	2- 3+ 11- 13+	2- 3+ -1  2 11- 13+ -5  2
Curve Equation t Generators 122694cj1 [1,1,1,-426,129735] 1 [-5:365:1]
122694ck (1 curve)	1	2- 3+ 11- 13+	2- 3+ -1  2 11- 13+ -5 -5
Curve Equation t Generators 122694ck1 [1,1,1,-89260311,-302160224475] 1 [-66552777:1856850778:12167]
122694cl (1 curve)	1	2- 3+ 11- 13+	2- 3+ -1 -3 11- 13+ -5  2
Curve Equation t Generators 122694cl1 [1,1,1,2453454,3278513415] 1 [57006:4920151:8]
122694cm (4 curves)	1	2- 3+ 11- 13+	2- 3+  2  0 11- 13+ -6  0
Curve Equation t Generators 122694cm1 [1,1,1,-3149572,-2502541579] 2 [33703514222549443:2690650885947857623:4844824797961] 122694cm2 [1,1,1,-52636152,-147003355179] 4 [316427453860790928526102693265:11310947067697801359324082187943:35204621052054081403986049] 122694cm3 [1,1,1,-54885542,-133757147347] 2 [-4873714678230414372:-178830648737805768467:1265740214304448] 122694cm4 [1,1,1,-842172042,-9407311901811] 2 [48520461183411998840059669863110897939621392960818519245062:-24956798427946163458545588744045186331664590937586506087851587:181501017386519766262153006337107538775803485533525512]
122694cn (1 curve)	1	2- 3+ 11- 13+	2- 3+  2 -4 11- 13+  4  1
Curve Equation t Generators 122694cn1 [1,1,1,6972683,28791421979] 1 [10379:1099056:1]
122694co (1 curve)	1	2- 3+ 11- 13+	2- 3+ -2  2 11- 13+ -4  7
Curve Equation t Generators 122694co1 [1,1,1,-1063774,-2254577005] 1 [19652595:7782499493:125]
122694cp (4 curves)	1	2- 3+ 11- 13+	2- 3+ -2  4 11- 13+ -2 -4
Curve Equation t Generators 122694cp1 [1,1,1,-21819509,-39186943333] 2 [-71745:204412:27] 122694cp2 [1,1,1,-28363189,-13752967909] 4 [76580553:-5254360124:9261] 122694cp3 [1,1,1,109872051,-108250577973] 2 [3482784181258431:520248317961545314:681239706399] 122694cp4 [1,1,1,-271297309,1708649942891] 2 [11454344292363:387832485224122:961504803]
122694cq (4 curves)	1	2- 3+ 11- 13+	2- 3+ -2 -4 11- 13+ -2  4
Curve Equation t Generators 122694cq1 [1,1,1,-41324,-74755] 2 [-5:365:1] 122694cq2 [1,1,1,-450304,115748381] 4 [2926:1575:8] 122694cq3 [1,1,1,-245814,221592405] 2 [103598:11729863:8] 122694cq4 [1,1,1,-7198474,7430764661] 2 [334554:-164335:216]
122694cr (1 curve)	1	2- 3+ 11- 13+	2- 3+  3  1 11- 13+  8 -6
Curve Equation t Generators 122694cr1 [1,1,1,-11697254,-347761862557] 1 [642153:514257559:1]
122694cs (1 curve)	1	2- 3+ 11- 13+	2- 3+ -3  1 11- 13+ -7 -6
Curve Equation t Generators 122694cs1 [1,1,1,-3572,114005] 1 [17:-251:1]
122694ct (2 curves)	1	2- 3+ 11- 13+	2- 3+ -4  0 11- 13+  0  0
Curve Equation t Generators 122694ct1 [1,1,1,-47053575,124756493181] 2 [3307:-74662:1] 122694ct2 [1,1,1,-753771015,7965079772541] 2 [11523:893994:1]
122694cu (2 curves)	0	2- 3+ 11- 13-	2- 3+  0  0 11- 13-  0  0
Curve Equation t 122694cu1 [1,1,1,-69638,-24717373] 2 122694cu2 [1,1,1,-1768478,-904036957] 2
122694cv (2 curves)	1	2- 3- 11+ 13+	2- 3-  0  0 11+ 13+  0  0
Curve Equation t Generators 122694cv1 [1,0,0,3292,41196] 2 [5620:418534:1] 122694cv2 [1,0,0,-15298,349790] 2 [-1058:2557:8]
122694cw (1 curve)	1	2- 3- 11+ 13+	2- 3-  3 -3 11+ 13+ -6 -6
Curve Equation t Generators 122694cw1 [1,0,0,-106785104,-689160177408] 1 [64624:16163296:1]
122694cx (2 curves)	0	2- 3- 11- 13+	2- 3-  1  1 11- 13+ -4  6
Curve Equation t 122694cx1 [1,0,0,-118080726475,-15634295365061647] 1 122694cx2 [1,0,0,334404316535,981201238024624343] 1
122694cy (1 curve)	0	2- 3- 11- 13+	2- 3-  1  2 11- 13+  3  1
Curve Equation t 122694cy1 [1,0,0,-2065775,-402010311] 1
122694cz (1 curve)	0	2- 3- 11- 13+	2- 3-  1  4 11- 13+ -7  0
Curve Equation t 122694cz1 [1,0,0,-2285,46773] 1
122694da (1 curve)	0	2- 3- 11- 13+	2- 3- -1  2 11- 13+ -7 -7
Curve Equation t 122694da1 [1,0,0,-115844011,477597904367] 1
122694db (1 curve)	0	2- 3- 11- 13+	2- 3-  2  2 11- 13+  0  1
Curve Equation t 122694db1 [1,0,0,-1513652,718738032] 1
122694dc (1 curve)	0	2- 3- 11- 13+	2- 3- -2 -2 11- 13+ -4 -3
Curve Equation t 122694dc1 [1,0,0,1185616,-17583648642] 1
122694dd (2 curves)	0	2- 3- 11- 13+	2- 3- -2  4 11- 13+  8 -6
Curve Equation t 122694dd1 [1,0,0,-6789494,17463769764] 2 122694dd2 [1,0,0,-150750454,711557142308] 2
122694de (2 curves)	0	2- 3- 11- 13+	2- 3-  3 -2 11- 13+  3 -2
Curve Equation t 122694de1 [1,0,0,-1268264,-962660544] 1 122694de2 [1,0,0,10694401,17998163481] 1
122694df (2 curves)	0	2- 3- 11- 13+	2- 3-  3  4 11- 13+ -3  7
Curve Equation t 122694df1 [1,0,0,-41324,-3193464] 1 122694df2 [1,0,0,-348059,77477841] 1
122694dg (2 curves)	0	2- 3- 11- 13+	2- 3-  3  5 11- 13+  0  2
Curve Equation t 122694dg1 [1,0,0,265411,117230697] 1 122694dg2 [1,0,0,-12617459,17279790111] 1
122694dh (4 curves)	0	2- 3- 11- 13+	2- 3-  4 -2 11- 13+  2  0
Curve Equation t 122694dh1 [1,0,0,-920631,-247906647] 2 122694dh2 [1,0,0,2351209,-1612263927] 2 122694dh3 [1,0,0,-205819611,1136505868653] 2 122694dh4 [1,0,0,-205615121,1138876930203] 2
122694di (2 curves)	0	2- 3- 11- 13+	2- 3- -4 -4 11- 13+ -4 -4
Curve Equation t 122694di1 [1,0,0,-20875,20220641] 2 122694di2 [1,0,0,-1247815,531854621] 2
122694dj (1 curve)	1	2- 3- 11- 13-	2- 3-  1 -1 11- 13-  4  0
Curve Equation t Generators 122694dj1 [1,0,0,-11370070,-19178875132] 1 [807880:-53039666:125]
122694dk (4 curves)	1	2- 3- 11- 13-	2- 3- -2  2 11- 13- -2 -6
Curve Equation t Generators 122694dk1 [1,0,0,5866,72084] 2 [10:358:1] 122694dk2 [1,0,0,-25594,594320] 2 [-64:1436:1] 122694dk3 [1,0,0,-536819,-151525791] 2 [4014:247737:1] 122694dk4 [1,0,0,-8590579,-9692009887] 2 [122106:5599811:27]

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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