Cremona's table of elliptic curves

27090 = 2 · 3² · 5 · 7 · 43

Class	r	Atkin-Lehner	Eigenvalues
27090a (1 curve)	1	2+ 3+ 5+ 7+ 43+	2+ 3+ 5+ 7+ -5 -4 -2 -4
Curve Equation t Generators 27090a1 [1,-1,0,-3750,-87500] 1 [71:-16:1]
27090b (2 curves)	1	2+ 3+ 5+ 7- 43-	2+ 3+ 5+ 7- -3 -4 -6 -4
Curve Equation t Generators 27090b1 [1,-1,0,-330,2466] 3 [-3:60:1] 27090b2 [1,-1,0,1605,7325] 1 [1:94:1]
27090c (2 curves)	0	2+ 3+ 5- 7+ 43+	2+ 3+ 5- 7+ -4 -6 -2 -6
Curve Equation t 27090c1 [1,-1,0,-11931039,-15859293955] 2 27090c2 [1,-1,0,-11931339,-15858456295] 2
27090d (2 curves)	1	2+ 3+ 5- 7- 43+	2+ 3+ 5- 7-  0 -6  2 -2
Curve Equation t Generators 27090d1 [1,-1,0,-104154,-6612940] 2 [-149:2437:1] 27090d2 [1,-1,0,-795354,268622900] 2 [644:4494:1]
27090e (4 curves)	0	2+ 3- 5+ 7+ 43+	2+ 3- 5+ 7+  0 -2 -6 -8
Curve Equation t 27090e1 [1,-1,0,-3072096000,65532928000000] 2 27090e2 [1,-1,0,-49152096000,4194328576000000] 4 27090e3 [1,-1,0,-49150656000,4194586623136000] 2 27090e4 [1,-1,0,-786433536000,268436439040864000] 2
27090f (2 curves)	0	2+ 3- 5+ 7+ 43+	2+ 3- 5+ 7+  0  4  6 -2
Curve Equation t 27090f1 [1,-1,0,0,-32000] 2 27090f2 [1,-1,0,-15120,-700304] 2
27090g (1 curve)	0	2+ 3- 5+ 7+ 43+	2+ 3- 5+ 7+  1  2  4 -1
Curve Equation t 27090g1 [1,-1,0,-225,81661] 1
27090h (1 curve)	0	2+ 3- 5+ 7+ 43+	2+ 3- 5+ 7+ -1 -2 -2 -6
Curve Equation t 27090h1 [1,-1,0,-4320,-9585864] 1
27090i (4 curves)	0	2+ 3- 5+ 7+ 43+	2+ 3- 5+ 7+ -4  2 -6  4
Curve Equation t 27090i1 [1,-1,0,1711170,-687930300] 2 27090i2 [1,-1,0,-8917650,-6217042464] 4 27090i3 [1,-1,0,-61427520,180833616450] 2 27090i4 [1,-1,0,-126468900,-547258425714] 2
27090j (1 curve)	0	2+ 3- 5+ 7+ 43+	2+ 3- 5+ 7+  5 -2  4 -3
Curve Equation t 27090j1 [1,-1,0,315,-675] 1
27090k (1 curve)	1	2+ 3- 5+ 7+ 43-	2+ 3- 5+ 7+ -1  2  6 -6
Curve Equation t Generators 27090k1 [1,-1,0,-9990,-9531950] 1 [4198:88945:8]
27090l (2 curves)	1	2+ 3- 5+ 7+ 43-	2+ 3- 5+ 7+  6 -2 -4 -6
Curve Equation t Generators 27090l1 [1,-1,0,-72000,0] 2 [-192:2688:1] 27090l2 [1,-1,0,288000,-216000] 2 [183:7563:1]
27090m (6 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  4 -2 -2 -4
Curve Equation t Generators 27090m1 [1,-1,0,-266715,-52950875] 2 [726:11285:1] 27090m2 [1,-1,0,-267435,-52650059] 4 [-2450:6643:8] 27090m3 [1,-1,0,-58455,-132940175] 2 [806:18119:1] 27090m4 [1,-1,0,-487935,46883641] 4 [-382:13511:1] 27090m5 [1,-1,0,1808415,360565051] 2 [36788:2533385:64] 27090m6 [1,-1,0,-6312285,6100713031] 2 [22830:839807:8]
27090n (2 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  4 -2  4 -6
Curve Equation t Generators 27090n1 [1,-1,0,139995,-388312299] 2 [3495183:39637896:4913] 27090n2 [1,-1,0,-7208325,-7235476875] 2 [2538794041575:-461391712944888:76765625]
27090o (4 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  4 -2 -6  8
Curve Equation t Generators 27090o1 [1,-1,0,-225,-11219] 2 [47:260:1] 27090o2 [1,-1,0,-9045,-326975] 4 [-52:53:1] 27090o3 [1,-1,0,-14715,136831] 2 [137:755:1] 27090o4 [1,-1,0,-144495,-21105005] 2 [1421:50684:1]
27090p (2 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  4  4 -2 -6
Curve Equation t Generators 27090p1 [1,-1,0,-225,2025] 2 [0:45:1] 27090p2 [1,-1,0,-4095,101871] 2 [21:147:1]
27090q (4 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  4 -6 -2  0
Curve Equation t Generators 27090q1 [1,-1,0,-337680,-76204800] 2 [1197:34524:1] 27090q2 [1,-1,0,-5418000,-4852721664] 4 [-14903552279:7293845202:11089567] 27090q3 [1,-1,0,-5433120,-4824262800] 2 [-1308:7224:1] 27090q4 [1,-1,0,-86688000,-310639223664] 2 [-23188990164008591:11594485922765298:4314030085639]
27090r (2 curves)	2	2+ 3- 5+ 7- 43-	2+ 3- 5+ 7- -6 -2  0 -2
Curve Equation t Generators 27090r1 [1,-1,0,-1125,14661] 2 [-30:159:1]&[-27:171:1] 27090r2 [1,-1,0,-225,36801] 2 [12:183:1]&[-210:1347:8]
27090s (1 curve)	1	2+ 3- 5- 7+ 43+	2+ 3- 5- 7+  3 -2  6 -2
Curve Equation t Generators 27090s1 [1,-1,0,260532621,-959090306315] 1 [13841:2294897:1]
27090t (4 curves)	1	2+ 3- 5- 7+ 43+	2+ 3- 5- 7+  4  2 -6  4
Curve Equation t Generators 27090t1 [1,-1,0,-14019,642005] 2 [295:4555:1] 27090t2 [1,-1,0,-16899,361493] 4 [-107:1021:1] 27090t3 [1,-1,0,60501,2698973] 2 [13:1861:1] 27090t4 [1,-1,0,-140379,-19963315] 2 [1171:37102:1]
27090u (2 curves)	1	2+ 3- 5- 7+ 43+	2+ 3- 5- 7+ -4  6  4 -6
Curve Equation t Generators 27090u1 [1,-1,0,-97494,48431348] 2 [73:6421:1] 27090u2 [1,-1,0,-2677974,1682907380] 2 [132005:638234:125]
27090v (2 curves)	0	2+ 3- 5- 7+ 43-	2+ 3- 5- 7+  0  4 -4  0
Curve Equation t 27090v1 [1,-1,0,-171864,-27924480] 2 27090v2 [1,-1,0,-2764944,-1768918392] 2
27090w (1 curve)	0	2+ 3- 5- 7+ 43-	2+ 3- 5- 7+ -5  2  6 -2
Curve Equation t 27090w1 [1,-1,0,-7029,248373] 1
27090x (2 curves)	2	2+ 3- 5- 7- 43+	2+ 3- 5- 7- -2 -6 -8 -6
Curve Equation t Generators 27090x1 [1,-1,0,-56574,5180868] 2 [147:-231:1]&[-231:2541:1] 27090x2 [1,-1,0,-34074,9325368] 2 [-258:1074:1]&[-188:3104:1]
27090y (4 curves)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7-  0 -4  0 -4
Curve Equation t Generators 27090y1 [1,-1,0,42786,7960788] 2 [-111:1410:1] 27090y2 [1,-1,0,-433494,96263100] 2 [211:3657:1] 27090y3 [1,-1,0,-2116674,1187736480] 6 [-651:48174:1] 27090y4 [1,-1,0,-33881904,75918616578] 6 [-3143:390614:1]
27090z (2 curves)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7-  3  2  0 -1
Curve Equation t Generators 27090z1 [1,-1,0,10656,345600] 1 [-29:122:1] 27090z2 [1,-1,0,-252504,49395528] 3 [-533:5954:1]
27090ba (2 curves)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7-  4  0 -2 -2
Curve Equation t Generators 27090ba1 [1,-1,0,756,0] 2 [21:-168:1] 27090ba2 [1,-1,0,-3024,2268] 2 [-18:234:1]
27090bb (2 curves)	0	2- 3+ 5+ 7+ 43+	2- 3+ 5+ 7+  4 -6  2 -6
Curve Equation t 27090bb1 [1,-1,1,-107379353,428308316137] 2 27090bb2 [1,-1,1,-107382053,428285702017] 2
27090bc (2 curves)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7-  0 -6 -2 -2
Curve Equation t Generators 27090bc1 [1,-1,1,-11573,248781] 2 [15:272:1] 27090bc2 [1,-1,1,-88373,-9919539] 2 [-177:480:1]
27090bd (1 curve)	1	2- 3+ 5- 7+ 43+	2- 3+ 5- 7+  5 -4  2 -4
Curve Equation t Generators 27090bd1 [1,-1,1,-33752,2396251] 1 [121:209:1]
27090be (2 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  3 -4  6 -4
Curve Equation t Generators 27090be1 [1,-1,1,178,-331] 3 [3:13:1] 27090be2 [1,-1,1,-2972,-63611] 1 [1214:13159:8]
27090bf (1 curve)	1	2- 3- 5+ 7+ 43+	2- 3- 5+ 7+ -3  2 -6  2
Curve Equation t Generators 27090bf1 [1,-1,1,247,-8823] 1 [47:-348:1]
27090bg (2 curves)	1	2- 3- 5+ 7+ 43+	2- 3- 5+ 7+ -4  4 -2  6
Curve Equation t Generators 27090bg1 [1,-1,1,-25853,13344581] 2 [15:-3608:1] 27090bg2 [1,-1,1,-1016573,392592197] 2 [-225:24808:1]
27090bh (1 curve)	0	2- 3- 5+ 7+ 43-	2- 3- 5+ 7+ -3  6 -6  2
Curve Equation t 27090bh1 [1,-1,1,-10868,438797] 1
27090bi (2 curves)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  0  0 -8 -8
Curve Equation t 27090bi1 [1,-1,1,17257,-913269] 2 27090bi2 [1,-1,1,-101813,-8676633] 2
27090bj (4 curves)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  0  6 -2  4
Curve Equation t 27090bj1 [1,-1,1,-60008,5525872427] 2 27090bj2 [1,-1,1,-47245928,123075436331] 4 27090bj3 [1,-1,1,-96781928,-179609338069] 2 27090bj4 [1,-1,1,-752684648,7948366069547] 2
27090bk (1 curve)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7- -3  6  4 -5
Curve Equation t 27090bk1 [1,-1,1,-1283,-17373] 1
27090bl (4 curves)	1	2- 3- 5+ 7- 43-	2- 3- 5+ 7-  4  2 -6  4
Curve Equation t Generators 27090bl1 [1,-1,1,-3308,-61329] 2 [-27:101:1] 27090bl2 [1,-1,1,-14828,639087] 4 [-55:1161:1] 27090bl3 [1,-1,1,17572,3023727] 2 [-73:1197:1] 27090bl4 [1,-1,1,-231548,42942831] 2 [285:57:1]
27090bm (1 curve)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+  1 -2 -6  6
Curve Equation t Generators 27090bm1 [1,-1,1,-949622,-491974779] 1 [1241:14859:1]
27090bn (2 curves)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+ -2 -2  0 -6
Curve Equation t Generators 27090bn1 [1,-1,1,-177488987,910178118411] 2 [7781:-17436:1] 27090bn2 [1,-1,1,-177258587,912658789131] 2 [7269:-94236:1]
27090bo (1 curve)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+  3 -2  0 -1
Curve Equation t Generators 27090bo1 [1,-1,1,-569102,-173570371] 1 [877:691:1]
27090bp (2 curves)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+  4  2  0 -2
Curve Equation t Generators 27090bp1 [1,-1,1,-1472,-23389] 2 [99:841:1] 27090bp2 [1,-1,1,-24152,-1438621] 2 [183:403:1]
27090bq (4 curves)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+ -4  2 -6 -4
Curve Equation t Generators 27090bq1 [1,-1,1,913,133751] 2 [-21:334:1] 27090bq2 [1,-1,1,-34367,2377559] 4 [-3:1576:1] 27090bq3 [1,-1,1,-88547,-6919729] 2 [-89:544:1] 27090bq4 [1,-1,1,-544667,154855199] 2 [483:1828:1]
27090br (2 curves)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+ -4 -2  4  6
Curve Equation t Generators 27090br1 [1,-1,1,-3362,78909] 2 [29:57:1] 27090br2 [1,-1,1,-54392,4896141] 2 [-642:23967:8]
27090bs (4 curves)	1	2- 3- 5- 7- 43+	2- 3- 5- 7- -4 -2  2  0
Curve Equation t Generators 27090bs1 [1,-1,1,-29867,128891] 4 [-149:1194:1] 27090bs2 [1,-1,1,-317867,-68645509] 4 [-329:654:1] 27090bs3 [1,-1,1,-163067,-135704869] 2 [1219:37806:1] 27090bs4 [1,-1,1,-5080667,-4406603749] 2 [-1301:654:1]
27090bt (6 curves)	0	2- 3- 5- 7- 43-	2- 3- 5- 7-  0 -4  6  2
Curve Equation t 27090bt1 [1,-1,1,-1653332,-817907929] 2 27090bt2 [1,-1,1,-26453912,-52363433401] 2 27090bt3 [1,-1,1,85333,-2427268741] 6 27090bt4 [1,-1,1,-26586347,-51812551429] 6 27090bt5 [1,-1,1,-768002,65536768001] 6 27090bt6 [1,-1,1,-248494082,1485899020289] 6
27090bu (4 curves)	0	2- 3- 5- 7- 43-	2- 3- 5- 7-  4 -6  6  8
Curve Equation t 27090bu1 [1,-1,1,1003,41181] 2 27090bu2 [1,-1,1,-13577,560229] 4 27090bu3 [1,-1,1,-48407,-3466119] 2 27090bu4 [1,-1,1,-212027,37630689] 2

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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