Cremona's table of elliptic curves

43290 = 2 · 3² · 5 · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
43290a (2 curves)	1	2+ 3+ 5- 13+ 37-	2+ 3+ 5- -2  4 13+ -8 -2
Curve Equation t Generators 43290a1 [1,-1,0,6411,299573] 2 [-13:469:1] 43290a2 [1,-1,0,-47589,3204773] 2 [-173:2584:1]
43290b (2 curves)	1	2+ 3+ 5- 13- 37+	2+ 3+ 5-  0  0 13- -2  6
Curve Equation t Generators 43290b1 [1,-1,0,291,-587] 2 [14:-85:1] 43290b2 [1,-1,0,-1209,-3887] 2 [-13:104:1]
43290c (2 curves)	2	2+ 3+ 5- 13- 37-	2+ 3+ 5-  0 -6 13- -6  0
Curve Equation t Generators 43290c1 [1,-1,0,141,4865] 2 [-11:49:1]&[61:457:1] 43290c2 [1,-1,0,-3609,80615] 2 [-59:322:1]&[-82:2771:8]
43290d (2 curves)	0	2+ 3+ 5- 13- 37-	2+ 3+ 5- -4  4 13-  6  4
Curve Equation t 43290d1 [1,-1,0,-82149,-12908395] 2 43290d2 [1,-1,0,-1464549,-681713515] 2
43290e (2 curves)	2	2+ 3- 5+ 13+ 37+	2+ 3- 5+  0 -2 13+ -2 -4
Curve Equation t Generators 43290e1 [1,-1,0,-180,-324] 2 [18:36:1]&[-9:27:1] 43290e2 [1,-1,0,-1530,23166] 2 [-114:1695:8]&[-3:168:1]
43290f (2 curves)	0	2+ 3- 5+ 13+ 37+	2+ 3- 5+  0 -4 13+  0 -6
Curve Equation t 43290f1 [1,-1,0,-3261555,1301358325] 2 43290f2 [1,-1,0,10378125,9351497461] 2
43290g (2 curves)	0	2+ 3- 5+ 13+ 37+	2+ 3- 5+ -2  0 13+ -2  0
Curve Equation t 43290g1 [1,-1,0,-2483685,1499925141] 2 43290g2 [1,-1,0,-1101285,3159634581] 2
43290h (2 curves)	0	2+ 3- 5+ 13+ 37+	2+ 3- 5+  4  0 13+  4  6
Curve Equation t 43290h1 [1,-1,0,-765,4401] 2 43290h2 [1,-1,0,2565,30375] 2
43290i (2 curves)	0	2+ 3- 5+ 13+ 37+	2+ 3- 5+ -4  0 13+ -4 -2
Curve Equation t 43290i1 [1,-1,0,-613440,-184755200] 2 43290i2 [1,-1,0,-560160,-218204384] 2
43290j (2 curves)	1	2+ 3- 5+ 13+ 37-	2+ 3- 5+  2 -2 13+  0  4
Curve Equation t Generators 43290j1 [1,-1,0,-360,-500] 2 [-10:50:1] 43290j2 [1,-1,0,-4410,-111470] 2 [-37:23:1]
43290k (2 curves)	1	2+ 3- 5+ 13+ 37-	2+ 3- 5+ -2  2 13+  4  8
Curve Equation t Generators 43290k1 [1,-1,0,-38970,-2928204] 2 [471:8877:1] 43290k2 [1,-1,0,-622170,-188735724] 2 [951:8412:1]
43290l (2 curves)	1	2+ 3- 5+ 13+ 37-	2+ 3- 5+ -2  2 13+  4 -8
Curve Equation t Generators 43290l1 [1,-1,0,-7335,243625] 2 [53:-67:1] 43290l2 [1,-1,0,-7785,212395] 2 [21:230:1]
43290m (2 curves)	1	2+ 3- 5+ 13+ 37-	2+ 3- 5+ -2  6 13+  0  4
Curve Equation t Generators 43290m1 [1,-1,0,-55305,-2854899] 2 [-105:1389:1] 43290m2 [1,-1,0,-775305,-262486899] 2 [-667755:498996:1331]
43290n (2 curves)	1	2+ 3- 5+ 13+ 37-	2+ 3- 5+ -2 -6 13+ -4  0
Curve Equation t Generators 43290n1 [1,-1,0,-19900120275,1007683611683125] 2 [2975379122595160987863650:84759210356843087006068175:30042264647834783371] 43290n2 [1,-1,0,-64900120275,-5175739388316875] 2 [1489010235326204083255212681471469679:-4758022756557816150669115064161049048737:145781878430773917403970726647]
43290o (1 curve)	1	2+ 3- 5+ 13- 37+	2+ 3- 5+ -1  3 13-  3 -8
Curve Equation t Generators 43290o1 [1,-1,0,-2462715,-1501746075] 1 [2311047954:223221312837:238328]
43290p (4 curves)	0	2+ 3- 5+ 13- 37-	2+ 3- 5+  0  0 13-  6  0
Curve Equation t 43290p1 [1,-1,0,-417885,-103870459] 2 43290p2 [1,-1,0,-429405,-97831675] 4 43290p3 [1,-1,0,556275,-482049739] 2 43290p4 [1,-1,0,-1599405,672730325] 2
43290q (2 curves)	0	2+ 3- 5+ 13- 37-	2+ 3- 5+  0 -2 13- -2 -4
Curve Equation t 43290q1 [1,-1,0,-225090,-40992044] 2 43290q2 [1,-1,0,-3600090,-2628267044] 2
43290r (4 curves)	0	2+ 3- 5+ 13- 37-	2+ 3- 5+  0  4 13- -2  8
Curve Equation t 43290r1 [1,-1,0,-32760,2217280] 2 43290r2 [1,-1,0,-519480,144242176] 4 43290r3 [1,-1,0,-514800,146965000] 2 43290r4 [1,-1,0,-8311680,9225272056] 2
43290s (4 curves)	2	2+ 3- 5+ 13- 37-	2+ 3- 5+ -4  0 13- -2 -4
Curve Equation t Generators 43290s1 [1,-1,0,-21060,-1166000] 2 [-85:110:1]&[-79:44:1] 43290s2 [1,-1,0,-32580,260176] 4 [-1394:7015:8]&[-73:1535:1] 43290s3 [1,-1,0,129420,1977376] 2 [-12:656:1]&[68:3296:1] 43290s4 [1,-1,0,-378900,89680000] 2 [-352:13568:1]&[-100:11300:1]
43290t (4 curves)	2	2+ 3- 5+ 13- 37-	2+ 3- 5+ -4 -4 13- -2 -4
Curve Equation t Generators 43290t1 [1,-1,0,-2790,51300] 2 [48:138:1]&[-12:294:1] 43290t2 [1,-1,0,-43290,3477600] 4 [130:-250:1]&[-123:2694:1] 43290t3 [1,-1,0,-41940,3703590] 2 [103:-736:1]&[-119:2705:1] 43290t4 [1,-1,0,-692640,222048810] 2 [481:-231:1]&[511:905:1]
43290u (2 curves)	1	2+ 3- 5- 13+ 37+	2+ 3- 5-  2 -4 13+ -2  0
Curve Equation t Generators 43290u1 [1,-1,0,-127359,1792525] 2 [505:141061:125] 43290u2 [1,-1,0,-1325439,-584547827] 2 [-2564155545:5500367294:3723875]
43290v (2 curves)	2	2+ 3- 5- 13+ 37-	2+ 3- 5- -2  0 13+ -4 -6
Curve Equation t Generators 43290v1 [1,-1,0,7011,-199355] 2 [29:152:1]&[358:3421:8] 43290v2 [1,-1,0,-37989,-1810355] 2 [-79:-793:1]&[-61:557:1]
43290w (2 curves)	0	2+ 3- 5- 13- 37+	2+ 3- 5-  0  0 13- -2 -6
Curve Equation t 43290w1 [1,-1,0,-24039,-1414787] 2 43290w2 [1,-1,0,-5319,-3575075] 2
43290x (2 curves)	0	2+ 3- 5- 13- 37+	2+ 3- 5-  0  6 13-  4  0
Curve Equation t 43290x1 [1,-1,0,-916929,328728253] 2 43290x2 [1,-1,0,-14556609,21380210365] 2
43290y (2 curves)	0	2+ 3- 5- 13- 37+	2+ 3- 5- -2  4 13- -4 -6
Curve Equation t 43290y1 [1,-1,0,-7489989,-7923603627] 2 43290y2 [1,-1,0,-119989989,-505871103627] 2
43290z (2 curves)	0	2+ 3- 5- 13- 37+	2+ 3- 5-  4  4 13-  2 -6
Curve Equation t 43290z1 [1,-1,0,-234,0] 2 43290z2 [1,-1,0,936,-702] 2
43290ba (4 curves)	1	2+ 3- 5- 13- 37-	2+ 3- 5-  2  6 13- -6 -4
Curve Equation t Generators 43290ba1 [1,-1,0,-2946699,1932081093] 2 [-5778:488403:8] 43290ba2 [1,-1,0,-847179,4629124485] 2 [246:-66723:1] 43290ba3 [1,-1,0,-238151259,1414639287765] 6 [83986:-23996443:1] 43290ba4 [1,-1,0,-238149639,1414659494673] 6 [-15788:1121019:1]
43290bb (2 curves)	1	2+ 3- 5- 13- 37-	2+ 3- 5- -2  2 13-  2 -4
Curve Equation t Generators 43290bb1 [1,-1,0,-353394,-78950700] 2 [-381:717:1] 43290bb2 [1,-1,0,61326,-253381932] 2 [1332:-47466:1]
43290bc (2 curves)	1	2- 3+ 5+ 13+ 37-	2- 3+ 5+ -2 -4 13+  8 -2
Curve Equation t Generators 43290bc1 [1,-1,1,712,-11333] 2 [17:65:1] 43290bc2 [1,-1,1,-5288,-116933] 2 [-53:137:1]
43290bd (2 curves)	1	2- 3+ 5+ 13- 37+	2- 3+ 5+  0  0 13-  2  6
Curve Equation t Generators 43290bd1 [1,-1,1,2617,13231] 2 [11:202:1] 43290bd2 [1,-1,1,-10883,115831] 2 [-77:740:1]
43290be (2 curves)	0	2- 3+ 5+ 13- 37-	2- 3+ 5+  0  6 13-  6  0
Curve Equation t 43290be1 [1,-1,1,1267,-132623] 2 43290be2 [1,-1,1,-32483,-2144123] 2
43290bf (2 curves)	2	2- 3+ 5+ 13- 37-	2- 3+ 5+ -4 -4 13- -6  4
Curve Equation t Generators 43290bf1 [1,-1,1,-9128,481131] 2 [-75:897:1]&[-67:921:1] 43290bf2 [1,-1,1,-162728,25302891] 2 [573:-11239:1]&[203:675:1]
43290bg (2 curves)	1	2- 3- 5+ 13+ 37+	2- 3- 5+ -2  6 13+  2 -4
Curve Equation t Generators 43290bg1 [1,-1,1,-1823,-21369] 2 [95:-858:1] 43290bg2 [1,-1,1,4657,-143193] 2 [83:-942:1]
43290bh (2 curves)	0	2- 3- 5+ 13+ 37-	2- 3- 5+  0  2 13+  4  4
Curve Equation t 43290bh1 [1,-1,1,-2948,-45849] 2 43290bh2 [1,-1,1,-16268,764007] 2
43290bi (1 curve)	0	2- 3- 5+ 13+ 37-	2- 3- 5+  1 -1 13+  5  4
Curve Equation t 43290bi1 [1,-1,1,-668,10657] 1
43290bj (2 curves)	0	2- 3- 5+ 13+ 37-	2- 3- 5+  4  0 13+  2  6
Curve Equation t 43290bj1 [1,-1,1,-7493,249981] 2 43290bj2 [1,-1,1,-2813,555117] 2
43290bk (2 curves)	2	2- 3- 5+ 13- 37+	2- 3- 5+ -4 -6 13-  2 -6
Curve Equation t Generators 43290bk1 [1,-1,1,1597,110787] 2 [-25:246:1]&[27:-430:1] 43290bk2 [1,-1,1,-27203,1619907] 2 [195:-2022:1]&[-169:1254:1]
43290bl (1 curve)	1	2- 3- 5+ 13- 37-	2- 3- 5+  1  3 13- -3 -4
Curve Equation t Generators 43290bl1 [1,-1,1,-293,-11779] 1 [33:100:1]
43290bm (2 curves)	1	2- 3- 5+ 13- 37-	2- 3- 5+ -1 -3 13-  3  2
Curve Equation t Generators 43290bm1 [1,-1,1,-224798,-46072753] 1 [7158:169577:8] 43290bm2 [1,-1,1,1498477,158382587] 3 [437145:288809218:1]
43290bn (2 curves)	1	2- 3- 5+ 13- 37-	2- 3- 5+  2 -4 13-  6  4
Curve Equation t Generators 43290bn1 [1,-1,1,-113,-3] 2 [-74:141:8] 43290bn2 [1,-1,1,-1283,-17319] 2 [-4494:3391:216]
43290bo (4 curves)	0	2- 3- 5- 13+ 37+	2- 3- 5-  0  0 13+  2  4
Curve Equation t 43290bo1 [1,-1,1,-1060277,408632141] 2 43290bo2 [1,-1,1,-16831157,26581984589] 4 43290bo3 [1,-1,1,-16697957,27023302829] 2 43290bo4 [1,-1,1,-269298437,1701045972461] 2
43290bp (4 curves)	0	2- 3- 5- 13+ 37+	2- 3- 5-  0  0 13+ -2  4
Curve Equation t 43290bp1 [1,-1,1,-1242077,-532432299] 2 43290bp2 [1,-1,1,-1354577,-430147299] 4 43290bp3 [1,-1,1,3588673,-2848385199] 2 43290bp4 [1,-1,1,-8097827,8532980601] 2
43290bq (4 curves)	0	2- 3- 5- 13+ 37+	2- 3- 5-  0  0 13+ -2 -8
Curve Equation t 43290bq1 [1,-1,1,-6047066147,152178714886371] 2 43290bq2 [1,-1,1,-92408405027,10811896950986979] 4 43290bq3 [1,-1,1,-88077327107,11871086310359331] 2 43290bq4 [1,-1,1,-1478520905027,691973638365986979] 2
43290br (2 curves)	0	2- 3- 5- 13+ 37+	2- 3- 5-  0  6 13+ -2  4
Curve Equation t 43290br1 [1,-1,1,-131882,-11476119] 2 43290br2 [1,-1,1,-1881482,-992651799] 2
43290bs (1 curve)	0	2- 3- 5- 13+ 37+	2- 3- 5- -1 -5 13+ -3  4
Curve Equation t 43290bs1 [1,-1,1,-137433481682,19614184800994001] 1
43290bt (4 curves)	0	2- 3- 5- 13+ 37+	2- 3- 5-  4  4 13+ -6  0
Curve Equation t 43290bt1 [1,-1,1,-55832,-5014501] 2 43290bt2 [1,-1,1,-101912,4496411] 4 43290bt3 [1,-1,1,377608,34418459] 2 43290bt4 [1,-1,1,-1318712,582719771] 2
43290bu (4 curves)	0	2- 3- 5- 13+ 37+	2- 3- 5-  4 -4 13+  6 -4
Curve Equation t 43290bu1 [1,-1,1,-182822,-30041931] 2 43290bu2 [1,-1,1,-185702,-29044299] 4 43290bu3 [1,-1,1,147298,-122017899] 2 43290bu4 [1,-1,1,-564782,127743189] 2
43290bv (4 curves)	0	2- 3- 5- 13+ 37+	2- 3- 5- -4  4 13+  6  4
Curve Equation t 43290bv1 [1,-1,1,-3227,-52549] 2 43290bv2 [1,-1,1,-17807,874739] 4 43290bv3 [1,-1,1,12163,3500111] 2 43290bv4 [1,-1,1,-281057,57420839] 2
43290bw (4 curves)	2	2- 3- 5- 13+ 37+	2- 3- 5- -4 -4 13+ -6 -4
Curve Equation t Generators 43290bw1 [1,-1,1,-2012,-5601] 2 [-33:171:1]&[-31:177:1] 43290bw2 [1,-1,1,-20012,1088799] 4 [-157:663:1]&[107:-459:1] 43290bw3 [1,-1,1,-8312,2343039] 2 [-147:683:1]&[29:-1473:1] 43290bw4 [1,-1,1,-319712,69660159] 2 [329:-93:1]&[3262:19479:8]
43290bx (1 curve)	0	2- 3- 5- 13+ 37+	2- 3- 5-  5  5 13+  3  2
Curve Equation t 43290bx1 [1,-1,1,-8592737,-9692867631] 1
43290by (2 curves)	1	2- 3- 5- 13+ 37-	2- 3- 5- -2  0 13+ -4  4
Curve Equation t Generators 43290by1 [1,-1,1,-145967,19992359] 2 [297:1516:1] 43290by2 [1,-1,1,-483467,-105962641] 2 [-413:5016:1]
43290bz (2 curves)	1	2- 3- 5- 13- 37+	2- 3- 5-  2  0 13- -2  2
Curve Equation t Generators 43290bz1 [1,-1,1,-19652,-1012521] 2 [-93:111:1] 43290bz2 [1,-1,1,10768,-3884169] 2 [141:579:1]
43290ca (2 curves)	1	2- 3- 5- 13- 37+	2- 3- 5-  2  6 13- -8 -4
Curve Equation t Generators 43290ca1 [1,-1,1,-96467,8447091] 2 [371:-5046:1] 43290ca2 [1,-1,1,-557267,-153201549] 2 [-381:2114:1]
43290cb (2 curves)	1	2- 3- 5- 13- 37+	2- 3- 5- -2  2 13-  8  0
Curve Equation t Generators 43290cb1 [1,-1,1,-16322,795521] 2 [111:-641:1] 43290cb2 [1,-1,1,-32522,-1031839] 2 [-41:501:1]
43290cc (2 curves)	1	2- 3- 5- 13- 37+	2- 3- 5- -2 -2 13-  0  0
Curve Equation t Generators 43290cc1 [1,-1,1,-932,10631] 2 [-9:139:1] 43290cc2 [1,-1,1,-2732,-41209] 2 [-21:91:1]
43290cd (2 curves)	1	2- 3- 5- 13- 37+	2- 3- 5- -2  4 13-  4 -8
Curve Equation t Generators 43290cd1 [1,-1,1,-16142,-777459] 2 [191:1659:1] 43290cd2 [1,-1,1,-29642,723741] 2 [201:1589:1]
43290ce (1 curve)	1	2- 3- 5- 13- 37+	2- 3- 5-  3 -5 13- -7  8
Curve Equation t Generators 43290ce1 [1,-1,1,-32177,2272609] 1 [79:-508:1]
43290cf (2 curves)	1	2- 3- 5- 13- 37+	2- 3- 5- -4  2 13- -4 -4
Curve Equation t Generators 43290cf1 [1,-1,1,-11642,193209] 2 [-13:-579:1] 43290cf2 [1,-1,1,42358,1446009] 2 [347:-7779:1]
43290cg (4 curves)	0	2- 3- 5- 13- 37-	2- 3- 5-  2  0 13- -6  8
Curve Equation t 43290cg1 [1,-1,1,-14432,-656161] 2 43290cg2 [1,-1,1,-2282,-1735081] 2 43290cg3 [1,-1,1,-114467,14595491] 6 43290cg4 [1,-1,1,20533,46833491] 6
43290ch (4 curves)	2	2- 3- 5- 13- 37-	2- 3- 5- -4 -6 13- -6 -4
Curve Equation t Generators 43290ch1 [1,-1,1,-126707,-17290861] 2 [-1698:1511:8]&[-203:286:1] 43290ch2 [1,-1,1,-175307,-2769181] 2 [-267:5128:1]&[-51:2482:1] 43290ch3 [1,-1,1,-591242,160029641] 6 [-735:14407:1]&[-6018:109943:8] 43290ch4 [1,-1,1,-9231242,10797597641] 6 [-3399:55519:1]&[-2931:114019:1]

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