Cremona's table of elliptic curves

123786 = 2 · 3² · 13 · 23²

Class	r	Atkin-Lehner	Eigenvalues
123786a (1 curve)	0	2+ 3+ 13+ 23-	2+ 3+  2  1 -3 13+  0 -2
Curve Equation t 123786a1 [1,-1,0,-106221,13645477] 1
123786b (2 curves)	0	2+ 3+ 13+ 23-	2+ 3+  2  2  4 13+  0  6
Curve Equation t 123786b1 [1,-1,0,-1686,-50908] 2 123786b2 [1,-1,0,-33426,-2342536] 2
123786c (1 curve)	0	2+ 3+ 13+ 23-	2+ 3+ -2 -1  3 13+  0  2
Curve Equation t 123786c1 [1,-1,0,-56191008,-165687372800] 1
123786d (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  0  0 -4 13-  2  0
Curve Equation t Generators 123786d1 [1,-1,0,-165147,-12247003] 2 [-119:2449:1] 123786d2 [1,-1,0,-1307787,567528533] 2 [2122:84637:1]
123786e (1 curve)	1	2+ 3- 13+ 23-	2+ 3-  0  0  1 13+  1  5
Curve Equation t Generators 123786e1 [1,-1,0,57033,46957] 1 [1226:43109:1]
123786f (1 curve)	1	2+ 3- 13+ 23-	2+ 3-  0  0 -1 13+ -1 -5
Curve Equation t Generators 123786f1 [1,-1,0,108,-32] 1 [8:-40:1]
123786g (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  0  0  6 13+  6  0
Curve Equation t Generators 123786g1 [1,-1,0,-132989112,-589640160960] 2 [1348721167835641523049733404556418274519376:983115908192640682076721426525651728464833464:2533700565944815245251111954924177179] 123786g2 [1,-1,0,-97948152,-907552774656] 2 [6930123802242073947400:10108370518414734788146488:3255018058164601]
123786h (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  0  0 -6 13+ -6  0
Curve Equation t Generators 123786h1 [1,-1,0,-251397,48527829] 2 [75:5448:1] 123786h2 [1,-1,0,-185157,74639637] 2 [-14:8795:1]
123786i (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  0  2  0 13+ -4  2
Curve Equation t Generators 123786i1 [1,-1,0,-4489722,4752053428] 2 [2651:105797:1] 123786i2 [1,-1,0,-77618682,263204423860] 2 [63435:8237875:27]
123786j (1 curve)	1	2+ 3- 13+ 23-	2+ 3- -1  1 -6 13+  3  4
Curve Equation t Generators 123786j1 [1,-1,0,18945,-474529523] 1 [14745365240547:732757470510718:5706550403]
123786k (2 curves)	1	2+ 3- 13+ 23-	2+ 3- -1 -1 -2 13+ -3 -6
Curve Equation t Generators 123786k1 [1,-1,0,-12795,855269] 1 [305:4873:1] 123786k2 [1,-1,0,-1012605,-430062841] 1 [2956323869785:168430346275854:817400375]
123786l (1 curve)	1	2+ 3- 13+ 23-	2+ 3-  2 -3  3 13+ -4  2
Curve Equation t Generators 123786l1 [1,-1,0,6939,601717] 1 [6766:194347:8]
123786m (1 curve)	1	2+ 3- 13+ 23-	2+ 3-  2  4  3 13+  3 -5
Curve Equation t Generators 123786m1 [1,-1,0,-5995026,-5648322920] 1 [18521069938679687175471490:343088242414876024897883680:6184948154417760591683]
123786n (1 curve)	1	2+ 3- 13+ 23-	2+ 3- -2  3 -3 13+  4 -2
Curve Equation t Generators 123786n1 [1,-1,0,3670632,-7343114720] 1 [320580578551:113046924749038:2571353]
123786o (1 curve)	1	2+ 3- 13+ 23-	2+ 3- -2 -4 -3 13+ -3  5
Curve Equation t Generators 123786o1 [1,-1,0,-3171368853,68742173180569] 1 [32666:31277:1]
123786p (1 curve)	1	2+ 3- 13+ 23-	2+ 3-  3 -3  2 13+ -1  4
Curve Equation t Generators 123786p1 [1,-1,0,-66753,-6875537] 1 [38425945848378:4825188257769247:2416893688]
123786q (2 curves)	1	2+ 3- 13+ 23-	2+ 3- -4 -2  0 13+  0 -2
Curve Equation t Generators 123786q1 [1,-1,0,214146,99299524] 2 [-40:9542:1] 123786q2 [1,-1,0,-2356794,1238225944] 2 [-339:44870:1]
123786r (2 curves)	0	2+ 3- 13- 23-	2+ 3-  0  2 -4 13- -8  0
Curve Equation t 123786r1 [1,-1,0,-3775572,2876581264] 2 123786r2 [1,-1,0,-60717132,182117223832] 2
123786s (2 curves)	0	2+ 3- 13- 23-	2+ 3-  0 -2  4 13-  8  0
Curve Equation t 123786s1 [1,-1,0,-7137,-234563] 2 123786s2 [1,-1,0,-114777,-14938187] 2
123786t (4 curves)	0	2+ 3- 13- 23-	2+ 3-  0 -2  6 13- -6 -2
Curve Equation t 123786t1 [1,-1,0,342693,1700934309] 2 123786t2 [1,-1,0,-19463067,32158232037] 2 123786t3 [1,-1,0,-3085227,-46009541835] 2 123786t4 [1,-1,0,-212283567,-1179320628951] 2
123786u (4 curves)	0	2+ 3- 13- 23-	2+ 3-  2  4  4 13-  6  0
Curve Equation t 123786u1 [1,-1,0,157014,-139901580] 2 123786u2 [1,-1,0,-3270906,-2153461788] 4 123786u3 [1,-1,0,-9841086,9219519792] 2 123786u4 [1,-1,0,-51547446,-142435431720] 2
123786v (1 curve)	1	2- 3+ 13+ 23-	2- 3+  2 -1 -3 13+  0  2
Curve Equation t Generators 123786v1 [1,-1,1,-505719074,4474064784673] 1 [12001:359039:1]
123786w (1 curve)	1	2- 3+ 13+ 23-	2- 3+ -2  1  3 13+  0 -2
Curve Equation t Generators 123786w1 [1,-1,1,-955991,-367471889] 1 [5827:435134:1]
123786x (2 curves)	1	2- 3+ 13+ 23-	2- 3+ -2  2 -4 13+  0  6
Curve Equation t Generators 123786x1 [1,-1,1,-15176,1389691] 2 [1406:15547:8] 123786x2 [1,-1,1,-300836,63549307] 2 [29:7391:1]
123786y (2 curves)	0	2- 3+ 13- 23-	2- 3+  0  0  4 13- -2  0
Curve Equation t 123786y1 [1,-1,1,-18350,459709] 2 123786y2 [1,-1,1,-145310,-20971139] 2
123786z (1 curve)	0	2- 3- 13+ 23-	2- 3-  2 -4 -5 13+ -7  7
Curve Equation t 123786z1 [1,-1,1,-910244,-335765285] 1
123786ba (1 curve)	0	2- 3- 13+ 23-	2- 3- -2  4  5 13+  7 -7
Curve Equation t 123786ba1 [1,-1,1,-1721,28045] 1
123786bb (2 curves)	0	2- 3- 13+ 23-	2- 3-  4  0  2 13+  2  8
Curve Equation t 123786bb1 [1,-1,1,-122333,-16437931] 2 123786bb2 [1,-1,1,-118193,-17605411] 2
123786bc (2 curves)	0	2- 3- 13+ 23-	2- 3- -4  0 -2 13+ -2 -8
Curve Equation t 123786bc1 [1,-1,1,-64713992,200388587195] 2 123786bc2 [1,-1,1,-62523932,214580175995] 2
123786bd (2 curves)	1	2- 3- 13- 23-	2- 3-  0  0 -2 13- -2  6
Curve Equation t Generators 123786bd1 [1,-1,1,-534125,152551441] 2 [-1378:124471:8] 123786bd2 [1,-1,1,-8580215,9675903565] 2 [17758:307459:8]
123786be (2 curves)	1	2- 3- 13- 23-	2- 3-  0  2  2 13- -6  6
Curve Equation t Generators 123786be1 [1,-1,1,-145310,143526701] 2 [-303:12787:1] 123786be2 [1,-1,1,-5096750,4409687405] 2 [2871:114475:1]
123786bf (2 curves)	1	2- 3- 13- 23-	2- 3-  0  2  6 13-  6 -7
Curve Equation t Generators 123786bf1 [1,-1,1,-216725,-43294939] 1 [3526215:176670182:1331] 123786bf2 [1,-1,1,1425820,128186759] 3 [111:16909:1]
123786bg (2 curves)	1	2- 3- 13- 23-	2- 3-  0 -2  6 13-  6 -2
Curve Equation t Generators 123786bg1 [1,-1,1,-740435,-247600029] 2 [17406805:6486819294:125] 123786bg2 [1,-1,1,-11881175,-15759966405] 2 [23171138705:-8656118709144:166375]
123786bh (2 curves)	1	2- 3- 13- 23-	2- 3-  0 -2 -6 13- -6  7
Curve Equation t Generators 123786bh1 [1,-1,1,-410,3665] 1 [15:19:1] 123786bh2 [1,-1,1,2695,-11239] 1 [87:892:1]
123786bi (4 curves)	1	2- 3- 13- 23-	2- 3-  0  4  0 13-  0 -2
Curve Equation t Generators 123786bi1 [1,-1,1,92740,-1223842021] 2 [92304913218:2568543360139:66923416] 123786bi2 [1,-1,1,-16618370,-25568587069] 2 [3901652422811242218:379963190037658880759:346510508721272] 123786bi3 [1,-1,1,-83677055,-294623114137] 2 [4602633:340461946:343] 123786bi4 [1,-1,1,-1338867095,-18855871349641] 2 [34754391:-10225575536:343]
123786bj (2 curves)	1	2- 3- 13- 23-	2- 3-  0  4  4 13- -4  0
Curve Equation t Generators 123786bj1 [1,-1,1,44131990,-126768975447] 2 [5213:492303:1] 123786bj2 [1,-1,1,-271236650,-1236109703511] 2 [3571705:-475172829:125]
123786bk (2 curves)	1	2- 3- 13- 23-	2- 3-  0 -4 -4 13-  4  0
Curve Equation t Generators 123786bk1 [1,-1,1,83425,10397319] 2 [167:-5466:1] 123786bk2 [1,-1,1,-512735,101729031] 2 [-753:8150:1]
123786bl (2 curves)	1	2- 3- 13- 23-	2- 3-  2  2  2 13- -4 -4
Curve Equation t Generators 123786bl1 [1,-1,1,-24540674,-54671019519] 2 [25793:4045599:1] 123786bl2 [1,-1,1,-410752994,-3204000761727] 2 [1898324:-210373929:64]
123786bm (2 curves)	1	2- 3- 13- 23-	2- 3-  2  2 -4 13-  2 -4
Curve Equation t Generators 123786bm1 [1,-1,1,835456,-283117089] 2 [363032846:16950787389:195112] 123786bm2 [1,-1,1,-4734914,-2658322857] 2 [74849812418934:1338979471746361:29047689224]
123786bn (4 curves)	1	2- 3- 13- 23-	2- 3-  2 -4 -4 13-  2  8
Curve Equation t Generators 123786bn1 [1,-1,1,-92939,227700123] 2 [-469:13194:1] 123786bn2 [1,-1,1,-6187019,5870818203] 4 [-753:100886:1] 123786bn3 [1,-1,1,-11138459,-4850039685] 2 [-147945:10285726:125] 123786bn4 [1,-1,1,-98740859,377678104251] 2 [-3007:806112:1]
123786bo (2 curves)	1	2- 3- 13- 23-	2- 3- -2 -2  0 13- -6  0
Curve Equation t Generators 123786bo1 [1,-1,1,-23764631,44611132335] 2 [1823:-86610:1] 123786bo2 [1,-1,1,-380268311,2854287935151] 2 [11207:3918:1]
123786bp (3 curves)	1	2- 3- 13- 23-	2- 3- -3  1  6 13- -3 -2
Curve Equation t Generators 123786bp1 [1,-1,1,2281,68249] 1 [2307438:45055747:5832] 123786bp2 [1,-1,1,-21524,-2416993] 1 [3571:211401:1] 123786bp3 [1,-1,1,-2187779,-1244980861] 1 [4935161:269033598:1331]
123786bq (1 curve)	1	2- 3- 13- 23-	2- 3- -3 -3 -2 13-  1 -6
Curve Equation t Generators 123786bq1 [1,-1,1,208591,166491649] 1 [857:30782:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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