Cremona's table of elliptic curves

122760 = 2³ · 3² · 5 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
122760a (2 curves)	1	2+ 3+ 5+ 11+ 31+	2+ 3+ 5+  4 11+  4  6  6
Curve Equation t Generators 122760a1 [0,0,0,-230283,19376118] 2 [70314:18644580:1] 122760a2 [0,0,0,807597,145789902] 2 [9326830326:-2473326277100:132651]
122760b (1 curve)	2	2+ 3+ 5+ 11+ 31-	2+ 3+ 5+  1 11+  0 -6 -8
Curve Equation t Generators 122760b1 [0,0,0,8532,621108] 1 [-54:54:1]&[108:1674:1]
122760c (1 curve)	2	2+ 3+ 5+ 11+ 31-	2+ 3+ 5+ -1 11+  0 -2  0
Curve Equation t Generators 122760c1 [0,0,0,-828,9172] 1 [14:-18:1]&[-6:118:1]
122760d (1 curve)	1	2+ 3+ 5+ 11- 31-	2+ 3+ 5+  3 11-  7 -3  4
Curve Equation t Generators 122760d1 [0,0,0,23517,-3178818] 1 [97566:1766556:343]
122760e (2 curves)	0	2+ 3+ 5- 11+ 31+	2+ 3+ 5-  4 11+ -2  0  8
Curve Equation t 122760e1 [0,0,0,-2907,-2906] 2 122760e2 [0,0,0,11613,-23234] 2
122760f (2 curves)	0	2+ 3+ 5- 11+ 31+	2+ 3+ 5- -4 11+  6  4 -4
Curve Equation t 122760f1 [0,0,0,-18747,987974] 2 122760f2 [0,0,0,-18627,1001246] 2
122760g (2 curves)	1	2+ 3+ 5- 11+ 31-	2+ 3+ 5- -2 11+  6 -6  4
Curve Equation t Generators 122760g1 [0,0,0,-2187,25974] 2 [-238:2035:8] 122760g2 [0,0,0,-14067,-622674] 2 [-64310:126503:1000]
122760h (4 curves)	0	2+ 3- 5+ 11+ 31+	2+ 3- 5+  0 11+  2 -6  4
Curve Equation t 122760h1 [0,0,0,-5223,145082] 2 122760h2 [0,0,0,-6843,47558] 4 122760h3 [0,0,0,26637,375662] 2 122760h4 [0,0,0,-66243,-6522082] 2
122760i (2 curves)	0	2+ 3- 5+ 11+ 31+	2+ 3- 5+ -2 11+ -2  6 -4
Curve Equation t 122760i1 [0,0,0,-1398,16153] 2 122760i2 [0,0,0,-7023,-212222] 2
122760j (4 curves)	1	2+ 3- 5+ 11+ 31-	2+ 3- 5+  0 11+  2 -6 -4
Curve Equation t Generators 122760j1 [0,0,0,-7338,146657] 2 [104:713:1] 122760j2 [0,0,0,-50583,-4272982] 4 [383:5704:1] 122760j3 [0,0,0,10797,-13983298] 2 [2866:47909:8] 122760j4 [0,0,0,-803883,-277419562] 2 [1598:50186:1]
122760k (1 curve)	1	2+ 3- 5+ 11+ 31-	2+ 3- 5+ -1 11+ -3 -5  0
Curve Equation t Generators 122760k1 [0,0,0,717,10222] 1 [2:108:1]
122760l (2 curves)	1	2+ 3- 5+ 11+ 31-	2+ 3- 5+  2 11+ -2  4  0
Curve Equation t Generators 122760l1 [0,0,0,-34743,2492458] 2 [251:3096:1] 122760l2 [0,0,0,-32763,2789062] 2 [-121:2232:1]
122760m (2 curves)	1	2+ 3- 5+ 11+ 31-	2+ 3- 5+  2 11+  6 -2  0
Curve Equation t Generators 122760m1 [0,0,0,-10398,-395903] 2 [824:23463:1] 122760m2 [0,0,0,-25743,1043458] 2 [22341:631052:27]
122760n (2 curves)	1	2+ 3- 5+ 11- 31+	2+ 3- 5+  2 11- -2  6  0
Curve Equation t Generators 122760n1 [0,0,0,-1038,-12863] 2 [701:18540:1] 122760n2 [0,0,0,-1263,-6878] 2 [-6:22:1]
122760o (1 curve)	1	2+ 3- 5+ 11- 31+	2+ 3- 5+  3 11- -2  6 -2
Curve Equation t Generators 122760o1 [0,0,0,-344028,-210710828] 1 [1134:29282:1]
122760p (2 curves)	0	2+ 3- 5+ 11- 31-	2+ 3- 5+  2 11-  6 -2 -4
Curve Equation t 122760p1 [0,0,0,-1038,-12247] 2 122760p2 [0,0,0,-16383,-807118] 2
122760q (2 curves)	0	2+ 3- 5+ 11- 31-	2+ 3- 5+  2 11- -6  4  8
Curve Equation t 122760q1 [0,0,0,-5914263,-1157464438] 2 122760q2 [0,0,0,23074917,-9152680282] 2
122760r (1 curve)	0	2+ 3- 5+ 11- 31-	2+ 3- 5+  5 11- -6  7 -4
Curve Equation t 122760r1 [0,0,0,-22323,1292078] 1
122760s (2 curves)	1	2+ 3- 5- 11+ 31+	2+ 3- 5-  2 11+  0 -2  2
Curve Equation t Generators 122760s1 [0,0,0,-22647,-1310614] 2 [-85:16:1] 122760s2 [0,0,0,-28227,-615346] 2 [-97:1100:1]
122760t (2 curves)	1	2+ 3- 5- 11+ 31+	2+ 3- 5-  2 11+ -6  4  4
Curve Equation t Generators 122760t1 [0,0,0,2598,71921] 2 [-8:225:1] 122760t2 [0,0,0,-18327,745706] 2 [271:3960:1]
122760u (2 curves)	1	2+ 3- 5- 11+ 31+	2+ 3- 5-  4 11+  4 -6 -4
Curve Equation t Generators 122760u1 [0,0,0,-6219822,5838052961] 2 [1003907476:80206698285:140608] 122760u2 [0,0,0,1027473,18632427554] 2 [27898:4664790:1]
122760v (2 curves)	0	2+ 3- 5- 11+ 31-	2+ 3- 5-  2 11+  4  4  0
Curve Equation t 122760v1 [0,0,0,1338,-5409191] 2 122760v2 [0,0,0,-454287,-115761566] 2
122760w (2 curves)	2	2+ 3- 5- 11+ 31-	2+ 3- 5- -4 11+  2 -6 -2
Curve Equation t Generators 122760w1 [0,0,0,1113,1114] 2 [30:248:1]&[99:1040:1] 122760w2 [0,0,0,-4467,8926] 2 [-58:270:1]&[-25:324:1]
122760x (1 curve)	2	2+ 3- 5- 11- 31+	2+ 3- 5- -1 11- -6 -2 -2
Curve Equation t Generators 122760x1 [0,0,0,12228,1976564] 1 [-62:990:1]&[-82:650:1]
122760y (2 curves)	0	2+ 3- 5- 11- 31+	2+ 3- 5-  2 11- -4  8  4
Curve Equation t 122760y1 [0,0,0,-241662,42613441] 2 122760y2 [0,0,0,234033,189793474] 2
122760z (2 curves)	0	2+ 3- 5- 11- 31+	2+ 3- 5-  4 11-  2  2  6
Curve Equation t 122760z1 [0,0,0,570633,301806826] 2 122760z2 [0,0,0,-4791747,3372305614] 2
122760ba (2 curves)	1	2+ 3- 5- 11- 31-	2+ 3- 5-  2 11- -4  0  0
Curve Equation t Generators 122760ba1 [0,0,0,-2760222,1535701961] 2 [2626:206305:8] 122760ba2 [0,0,0,4487073,8242348754] 2 [-857:61380:1]
122760bb (2 curves)	1	2+ 3- 5- 11- 31-	2+ 3- 5- -2 11-  0  0 -4
Curve Equation t Generators 122760bb1 [0,0,0,-14382,663849] 2 [105:558:1] 122760bb2 [0,0,0,-13887,711666] 2 [-45:1116:1]
122760bc (1 curve)	1	2+ 3- 5- 11- 31-	2+ 3- 5-  4 11- -6  3  5
Curve Equation t Generators 122760bc1 [0,0,0,6228,-759564] 1 [82:550:1]
122760bd (2 curves)	1	2- 3+ 5+ 11- 31+	2- 3+ 5+  4 11- -2  0  8
Curve Equation t Generators 122760bd1 [0,0,0,-26163,78462] 2 [-526:9845:8] 122760bd2 [0,0,0,104517,627318] 2 [314410:8035489:1000]
122760be (2 curves)	1	2- 3+ 5+ 11- 31+	2- 3+ 5+ -4 11-  6 -4 -4
Curve Equation t Generators 122760be1 [0,0,0,-168723,-26675298] 2 [682568:23561659:512] 122760be2 [0,0,0,-167643,-27033642] 2 [5226:376596:1]
122760bf (2 curves)	0	2- 3+ 5+ 11- 31-	2- 3+ 5+ -2 11-  6  6  4
Curve Equation t 122760bf1 [0,0,0,-243,-962] 2 122760bf2 [0,0,0,-1563,23062] 2
122760bg (1 curve)	0	2- 3+ 5- 11+ 31-	2- 3+ 5-  3 11+  7  3  4
Curve Equation t 122760bg1 [0,0,0,2613,117734] 1
122760bh (2 curves)	0	2- 3+ 5- 11- 31+	2- 3+ 5-  4 11-  4 -6  6
Curve Equation t 122760bh1 [0,0,0,-25587,-717634] 2 122760bh2 [0,0,0,89733,-5399626] 2
122760bi (1 curve)	1	2- 3+ 5- 11- 31-	2- 3+ 5-  1 11-  0  6 -8
Curve Equation t Generators 122760bi1 [0,0,0,948,-23004] 1 [57:465:1]
122760bj (1 curve)	1	2- 3+ 5- 11- 31-	2- 3+ 5- -1 11-  0  2  0
Curve Equation t Generators 122760bj1 [0,0,0,-7452,-247644] 1 [53205:1073061:125]
122760bk (4 curves)	1	2- 3- 5+ 11+ 31+	2- 3- 5+  0 11+  2  2  8
Curve Equation t Generators 122760bk1 [0,0,0,-1098,13797] 2 [22:17:1] 122760bk2 [0,0,0,-2223,-19278] 4 [-39:90:1] 122760bk3 [0,0,0,7677,-144018] 2 [27:288:1] 122760bk4 [0,0,0,-30123,-2011338] 2 [-101:28:1]
122760bl (4 curves)	1	2- 3- 5+ 11+ 31+	2- 3- 5+ -4 11+  2 -6 -8
Curve Equation t Generators 122760bl1 [0,0,0,-230178,42505373] 2 [278:29:1] 122760bl2 [0,0,0,-230223,42487922] 4 [121:4050:1] 122760bl3 [0,0,0,-180723,61268222] 2 [187:5832:1] 122760bl4 [0,0,0,-280443,22590758] 2 [59:2500:1]
122760bm (4 curves)	1	2- 3- 5+ 11+ 31+	2- 3- 5+ -4 11+ -6 -6  0
Curve Equation t Generators 122760bm1 [0,0,0,-1254738,-422917963] 2 [1382:21967:1] 122760bm2 [0,0,0,-18832863,-31455339838] 4 [-2491:682:1] 122760bm3 [0,0,0,-17595363,-35767532338] 2 [121259:42199432:1] 122760bm4 [0,0,0,-301320363,-2013218147338] 2 [121747:42022332:1]
122760bn (2 curves)	0	2- 3- 5+ 11+ 31-	2- 3- 5+  0 11+  0  0 -6
Curve Equation t 122760bn1 [0,0,0,-4909683,-4187224258] 2 122760bn2 [0,0,0,-4822203,-4343621002] 2
122760bo (4 curves)	2	2- 3- 5+ 11- 31+	2- 3- 5+  0 11- -6  2  4
Curve Equation t Generators 122760bo1 [0,0,0,-7338,240037] 4 [-94:315:1]&[-46:693:1] 122760bo2 [0,0,0,-12783,-163982] 4 [-79:594:1]&[-57:616:1] 122760bo3 [0,0,0,48597,-1281098] 2 [107:2268:1]&[222:4522:1] 122760bo4 [0,0,0,-161283,-24904082] 2 [-229:144:1]&[1787:73440:1]
122760bp (4 curves)	0	2- 3- 5+ 11- 31+	2- 3- 5+  0 11- -6 -6  8
Curve Equation t 122760bp1 [0,0,0,-136623,-19183822] 2 122760bp2 [0,0,0,-267843,23620142] 4 122760bp3 [0,0,0,947157,178411142] 2 122760bp4 [0,0,0,-3582363,2608282838] 2
122760bq (2 curves)	1	2- 3- 5+ 11- 31-	2- 3- 5+ -2 11-  2 -8  4
Curve Equation t Generators 122760bq1 [0,0,0,-1263,-16558] 2 [-23:18:1] 122760bq2 [0,0,0,717,-63682] 2 [43:216:1]
122760br (4 curves)	1	2- 3- 5+ 11- 31-	2- 3- 5+  4 11- -6 -6  4
Curve Equation t Generators 122760br1 [0,0,0,-1326018,-587713043] 2 [6389:501732:1] 122760br2 [0,0,0,-1369263,-547330862] 4 [-822:4774:1] 122760br3 [0,0,0,2006637,-2820661922] 2 [1158:32494:1] 122760br4 [0,0,0,-5437083,4310459782] 2 [1739:10692:1]
122760bs (4 curves)	1	2- 3- 5+ 11- 31-	2- 3- 5+ -4 11-  2  2  8
Curve Equation t Generators 122760bs1 [0,0,0,4542,-218707] 2 [409:-8370:1] 122760bs2 [0,0,0,-38703,-2458798] 4 [-118:682:1] 122760bs3 [0,0,0,-178203,26640902] 2 [331:1980:1] 122760bs4 [0,0,0,-591123,-174924322] 2 [-442:34:1]
122760bt (4 curves)	0	2- 3- 5- 11+ 31+	2- 3- 5-  0 11+  2  2  4
Curve Equation t 122760bt1 [0,0,0,-2847,-21854] 2 122760bt2 [0,0,0,-24627,1472254] 4 122760bt3 [0,0,0,-4827,3773014] 2 122760bt4 [0,0,0,-392907,94794406] 2
122760bu (2 curves)	0	2- 3- 5- 11+ 31+	2- 3- 5- -2 11+  4  0  0
Curve Equation t 122760bu1 [0,0,0,-10504542,13121112701] 2 122760bu2 [0,0,0,-168132567,839123489306] 2
122760bv (2 curves)	2	2- 3- 5- 11+ 31+	2- 3- 5- -4 11+ -4  2  0
Curve Equation t Generators 122760bv1 [0,0,0,-174342,28018901] 2 [242:-25:1]&[-298:7315:1] 122760bv2 [0,0,0,-173847,28185914] 2 [-455:3618:1]&[643:13500:1]
122760bw (2 curves)	1	2- 3- 5- 11+ 31-	2- 3- 5-  0 11+  4 -6 -8
Curve Equation t Generators 122760bw1 [0,0,0,-58782,6769469] 2 [118:-1215:1] 122760bw2 [0,0,0,-1000407,385114394] 2 [-757:26620:1]
122760bx (1 curve)	1	2- 3- 5- 11+ 31-	2- 3- 5-  3 11+ -2  5  8
Curve Equation t Generators 122760bx1 [0,0,0,54933,-111841274] 1 [7186:205875:8]
122760by (4 curves)	1	2- 3- 5- 11+ 31-	2- 3- 5- -4 11+  6  2 -4
Curve Equation t Generators 122760by1 [0,0,0,-33807,1661906] 4 [-143:1890:1] 122760by2 [0,0,0,-206787,-34906066] 4 [1298:43400:1] 122760by3 [0,0,0,94533,-128134474] 2 [431606:15275000:343] 122760by4 [0,0,0,-3275787,-2282027866] 2 [2090:952:1]
122760bz (2 curves)	1	2- 3- 5- 11- 31+	2- 3- 5-  0 11-  0  0 -4
Curve Equation t Generators 122760bz1 [0,0,0,-4497762,-1617604891] 2 [-1702:33275:1] 122760bz2 [0,0,0,15926433,-12225931774] 2 [1367:110000:1]
122760ca (2 curves)	1	2- 3- 5- 11- 31+	2- 3- 5-  0 11- -6 -2  2
Curve Equation t Generators 122760ca1 [0,0,0,-207,4914] 2 [10:62:1] 122760ca2 [0,0,0,-5787,168966] 2 [27:180:1]
122760cb (2 curves)	1	2- 3- 5- 11- 31+	2- 3- 5-  2 11- -4 -6  2
Curve Equation t Generators 122760cb1 [0,0,0,-359967,-81202174] 2 [-323:1170:1] 122760cb2 [0,0,0,-5722347,-5268768586] 2 [4195:211068:1]
122760cc (2 curves)	1	2- 3- 5- 11- 31+	2- 3- 5- -2 11-  2  0  8
Curve Equation t Generators 122760cc1 [0,0,0,-1362,20941] 2 [2:135:1] 122760cc2 [0,0,0,-22287,1280626] 2 [75:176:1]
122760cd (1 curve)	1	2- 3- 5- 11- 31+	2- 3- 5-  3 11-  0 -5  2
Curve Equation t Generators 122760cd1 [0,0,0,-4219227,-3335882346] 1 [92985615769578:672824539296405:38820476456]
122760ce (1 curve)	1	2- 3- 5- 11- 31+	2- 3- 5- -3 11-  6 -6  2
Curve Equation t Generators 122760ce1 [0,0,0,-32941452,72771649796] 1 [26546:3645:8]
122760cf (4 curves)	1	2- 3- 5- 11- 31+	2- 3- 5-  4 11- -2  2  4
Curve Equation t Generators 122760cf1 [0,0,0,-114447,14894354] 4 [-190:33561:8] 122760cf2 [0,0,0,-136227,8826446] 4 [-9354:826595:216] 122760cf3 [0,0,0,477573,66400886] 2 [19025827629130:-963101600092134:61864208875] 122760cf4 [0,0,0,-1098507,-437094106] 2 [13921065001274:280069238972250:9896830523]
122760cg (2 curves)	0	2- 3- 5- 11- 31-	2- 3- 5-  0 11- -4  0  2
Curve Equation t 122760cg1 [0,0,0,-4467,-105154] 2 122760cg2 [0,0,0,5253,-499786] 2

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