Cremona's table of elliptic curves

54390 = 2 · 3 · 5 · 7² · 37

Class	r	Atkin-Lehner	Eigenvalues
54390a (1 curve)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+  5 -1  4 -8
Curve Equation t Generators 54390a1 [1,1,0,-368,-1728] 1 [-8:32:1]
54390b (1 curve)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+  5 -6 -6 -3
Curve Equation t Generators 54390b1 [1,1,0,-19598898,33391788858] 1 [11189:1096698:1]
54390c (1 curve)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+ -1  1  0  0
Curve Equation t 54390c1 [1,1,0,-5140317928,-141515312370368] 1
54390d (1 curve)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+ -1 -1  6  4
Curve Equation t 54390d1 [1,1,0,-128503,-17614043] 1
54390e (2 curves)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7-  0  0  2  0
Curve Equation t Generators 54390e1 [1,1,0,4652917,72631007037] 2 [-9503424099688002:3247260235705180705:12379293893637] 54390e2 [1,1,0,-235392203,1350103126653] 2 [423220182:16313786341:35937]
54390f (2 curves)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7-  0  4  2  2
Curve Equation t Generators 54390f1 [1,1,0,-123,-36567] 2 [41:151:1] 54390f2 [1,1,0,-17273,-870057] 2 [531:11568:1]
54390g (1 curve)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7- -1 -4 -1  0
Curve Equation t Generators 54390g1 [1,1,0,-52846868,147937858272] 1 [551720:3018312:125]
54390h (2 curves)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7-  3 -5  0 -8
Curve Equation t Generators 54390h1 [1,1,0,-108098,-13716492] 1 [-24220:16414:125] 54390h2 [1,1,0,-357473,66590133] 1 [15770:598323:125]
54390i (4 curves)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7-  6 -2  6 -2
Curve Equation t Generators 54390i1 [1,1,0,-15313,-903083] 2 [713:18386:1] 54390i2 [1,1,0,-260313,-51226083] 2 [582777:11289394:729] 54390i3 [1,1,0,113312,7508992] 2 [-1:2720:1] 54390i4 [1,1,0,-513888,63078912] 2 [-123:11217:1]
54390j (1 curve)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+  4  5 -1  4
Curve Equation t 54390j1 [1,1,0,4238,137236] 1
54390k (4 curves)	1	2+ 3+ 5- 7- 37+	2+ 3+ 5- 7-  4 -2  2  0
Curve Equation t Generators 54390k1 [1,1,0,-9561787,-11384363171] 2 [5958:-381379:1] 54390k2 [1,1,0,-9577467,-11345172579] 4 [-1723:7599:1] 54390k3 [1,1,0,-3703347,-25105886091] 2 [22253:-3314564:1] 54390k4 [1,1,0,-15702467,4924052421] 2 [5277:260124:1]
54390l (1 curve)	1	2+ 3+ 5- 7- 37+	2+ 3+ 5- 7- -5 -2 -1 -6
Curve Equation t Generators 54390l1 [1,1,0,-8992,-20865536] 1 [316645:9289111:343]
54390m (2 curves)	2	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7-  0  1 -6 -8
Curve Equation t Generators 54390m1 [1,1,0,2033,155611] 1 [55:634:1]&[125:1481:1] 54390m2 [1,1,0,-167752,26392024] 1 [-2626:55703:8]&[-267:7361:1]
54390n (2 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7-  3  7  3  1
Curve Equation t 54390n1 [1,1,0,6198,515124] 1 54390n2 [1,1,0,-347337,78744261] 1
54390o (2 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7- -4 -2  6  2
Curve Equation t 54390o1 [1,1,0,62548,-23646384] 2 54390o2 [1,1,0,-952732,-331682336] 2
54390p (2 curves)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  2 -2 -2  2
Curve Equation t Generators 54390p1 [1,0,1,50591,-8087404] 2 [403:-9022:1] 54390p2 [1,0,1,-429609,-90873884] 2 [-496:747:1]
54390q (2 curves)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7- -2  4 -2 -4
Curve Equation t Generators 54390q1 [1,0,1,-187241129,-987650066644] 2 [1042952559:-100378704806:50653] 54390q2 [1,0,1,-2997097129,-63154028153044] 2 [-1601061521:785264474:50653]
54390r (1 curve)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  3 -6  3  6
Curve Equation t Generators 54390r1 [1,0,1,-9434,354512] 1 [123:967:1]
54390s (1 curve)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  4 -5  1 -4
Curve Equation t Generators 54390s1 [1,0,1,86,-388] 1 [78:257:8]
54390t (4 curves)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7- -4 -2  2 -4
Curve Equation t Generators 54390t1 [1,0,1,23641,-981718] 2 [60:778:1] 54390t2 [1,0,1,-117479,-8715094] 4 [671:14316:1] 54390t3 [1,0,1,-852479,296750906] 2 [1095226:15894096:1331] 54390t4 [1,0,1,-1640399,-808552678] 2 [1700:35433:1]
54390u (2 curves)	2	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7- -4  2 -6 -2
Curve Equation t Generators 54390u1 [1,0,1,1276,69122] 2 [-24:169:1]&[-15:223:1] 54390u2 [1,0,1,-19444,964226] 2 [-155:587:1]&[-107:1403:1]
54390v (1 curve)	0	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7- -5  2  7  2
Curve Equation t 54390v1 [1,0,1,9921,198202] 1
54390w (2 curves)	0	2+ 3- 5- 7+ 37-	2+ 3- 5- 7+  3  5  0  8
Curve Equation t 54390w1 [1,0,1,-5296828,4688866298] 3 54390w2 [1,0,1,-17516203,-22892964202] 1
54390x (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7- -1 -2  7  2
Curve Equation t 54390x1 [1,0,1,72,928] 1
54390y (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7- -1 -2 -7  2
Curve Equation t 54390y1 [1,0,1,-1269273,112900693756] 1
54390z (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7- -3  5 -5 -1
Curve Equation t 54390z1 [1,0,1,-173,-1522] 1
54390ba (4 curves)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7-  4 -2  2 -8
Curve Equation t 54390ba1 [1,0,1,-69746038,210822379016] 2 54390ba2 [1,0,1,-1097350518,13991409497608] 4 54390ba3 [1,0,1,-1078785398,14487662581256] 2 54390ba4 [1,0,1,-17557587318,895456842421768] 2
54390bb (4 curves)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7- -4 -2 -2 -4
Curve Equation t 54390bb1 [1,0,1,315387,-192592592] 2 54390bb2 [1,0,1,-3698693,-2458139344] 4 54390bb3 [1,0,1,-14141573,17846996528] 2 54390bb4 [1,0,1,-57481093,-167742211024] 2
54390bc (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7- -4 -3  6  0
Curve Equation t 54390bc1 [1,0,1,-1892798,1411032368] 1
54390bd (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7-  5  1 -4  8
Curve Equation t 54390bd1 [1,0,1,-18058,538556] 1
54390be (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7-  5  6  6  3
Curve Equation t 54390be1 [1,0,1,-399978,-97409294] 1
54390bf (2 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  0  0 -2  0
Curve Equation t Generators 54390bf1 [1,0,1,94957,-211738642] 2 [1119:-36560:1] 54390bf2 [1,0,1,-4803923,-3936846994] 2 [4695:-279848:1]
54390bg (4 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  0  2  2  4
Curve Equation t Generators 54390bg1 [1,0,1,3026802,-331219472] 2 [4484:-323805:1] 54390bg2 [1,0,1,-12285698,-2670969472] 4 [-2466:113620:1] 54390bg3 [1,0,1,-123331948,524487788528] 2 [21544:2794055:1] 54390bg4 [1,0,1,-146239448,-679512477472] 2 [22194:-2658200:1]
54390bh (1 curve)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7- -1  1 -6 -4
Curve Equation t Generators 54390bh1 [1,0,1,-2623,50978] 1 [19:-100:1]
54390bi (1 curve)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7- -1 -1  0  0
Curve Equation t Generators 54390bi1 [1,0,1,-104904448,412566099278] 1 [-4391:890195:1]
54390bj (1 curve)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  5  2 -3 -6
Curve Equation t Generators 54390bj1 [1,0,1,-1102428,452200858] 1 [49899:1831549:27]
54390bk (1 curve)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+  1 -3  3  1
Curve Equation t Generators 54390bk1 [1,1,1,1788744,1682169] 1 [69:11165:1]
54390bl (1 curve)	1	2- 3+ 5+ 7- 37+	2- 3+ 5+ 7- -1 -2 -6 -1
Curve Equation t Generators 54390bl1 [1,1,1,78434,5923259] 1 [-41:1645:1]
54390bm (1 curve)	1	2- 3+ 5+ 7- 37+	2- 3+ 5+ 7- -5  4  3  0
Curve Equation t Generators 54390bm1 [1,1,1,-85751,-109331251] 1 [1091:32578:1]
54390bn (4 curves)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7-  0  6  6  4
Curve Equation t 54390bn1 [1,1,1,-20091,1087113] 4 54390bn2 [1,1,1,-24011,627689] 4 54390bn3 [1,1,1,84769,4848353] 2 54390bn4 [1,1,1,-195511,-32917711] 2
54390bo (2 curves)	2	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7-  0 -6  2 -6
Curve Equation t Generators 54390bo1 [1,1,1,-353326,80918123] 2 [497:-5577:1]&[-539:10999:1] 54390bo2 [1,1,1,-5657646,5177308779] 2 [1393:-1993:1]&[97:67991:1]
54390bp (1 curve)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7- -3  0  3  4
Curve Equation t 54390bp1 [1,1,1,-13793011,-27523865167] 1
54390bq (6 curves)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7-  4  2 -2  4
Curve Equation t 54390bq1 [1,1,1,-87466,-9919561] 2 54390bq2 [1,1,1,-150186,6086583] 4 54390bq3 [1,1,1,575014,48438263] 2 54390bq4 [1,1,1,-1878906,989382519] 4 54390bq5 [1,1,1,-1364406,1543807719] 2 54390bq6 [1,1,1,-30052926,63400471623] 2
54390br (2 curves)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7-  4  4 -6 -4
Curve Equation t 54390br1 [1,1,1,-11026,627983] 2 54390br2 [1,1,1,-196246,33374879] 2
54390bs (1 curve)	2	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7- -6 -3 -4 -6
Curve Equation t Generators 54390bs1 [1,1,1,34,83] 1 [-18:11:8]&[-1:7:1]
54390bt (1 curve)	1	2- 3+ 5- 7+ 37+	2- 3+ 5- 7+ -5  1  2 -4
Curve Equation t Generators 54390bt1 [1,1,1,-1768215,904266285] 1 [755:-966:1]
54390bu (1 curve)	0	2- 3+ 5- 7+ 37-	2- 3+ 5- 7+ -3  1  8  0
Curve Equation t 54390bu1 [1,1,1,-61790,5398427] 1
54390bv (1 curve)	0	2- 3+ 5- 7+ 37-	2- 3+ 5- 7+ -3  6 -2  7
Curve Equation t 54390bv1 [1,1,1,-164690,-28990753] 1
54390bw (1 curve)	0	2- 3+ 5- 7+ 37-	2- 3+ 5- 7+  5  5 -5  5
Curve Equation t 54390bw1 [1,1,1,264060,-19438203] 1
54390bx (2 curves)	0	2- 3+ 5- 7- 37+	2- 3+ 5- 7-  0  0  2  6
Curve Equation t 54390bx1 [1,1,1,-63995,-9405943] 2 54390bx2 [1,1,1,-1161595,-482252023] 2
54390by (1 curve)	0	2- 3+ 5- 7- 37+	2- 3+ 5- 7- -1  4 -3 -4
Curve Equation t 54390by1 [1,1,1,-1732690,-878591953] 1
54390bz (2 curves)	0	2- 3+ 5- 7- 37+	2- 3+ 5- 7- -2  4 -6  0
Curve Equation t 54390bz1 [1,1,1,-28583220,-58831318155] 2 54390bz2 [1,1,1,-457333220,-3764603318155] 2
54390ca (1 curve)	2	2- 3+ 5- 7- 37+	2- 3+ 5- 7- -2 -5 -8 -6
Curve Equation t Generators 54390ca1 [1,1,1,-11180,556877] 1 [-123:361:1]&[237:-3479:1]
54390cb (2 curves)	0	2- 3+ 5- 7- 37+	2- 3+ 5- 7-  4  4  2  6
Curve Equation t 54390cb1 [1,1,1,-223980,40776525] 2 54390cb2 [1,1,1,-3585380,2611575245] 2
54390cc (1 curve)	0	2- 3+ 5- 7- 37+	2- 3+ 5- 7- -5  1  0  0
Curve Equation t 54390cc1 [1,1,1,-9220,-339655] 1
54390cd (1 curve)	0	2- 3+ 5- 7- 37+	2- 3+ 5- 7- -5  1  5  3
Curve Equation t 54390cd1 [1,1,1,-13770,-823593] 1
54390ce (6 curves)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7-  0  4  6 -2
Curve Equation t Generators 54390ce1 [1,1,1,450750,-223693233] 2 [825:26243:1] 54390ce2 [1,1,1,-3939650,-2545336753] 2 [2785:88571:1] 54390ce3 [1,1,1,-4206210,7403899215] 2 [-1947:91623:1] 54390ce4 [1,1,1,-88241210,318736767215] 2 [5043:42433:1] 54390ce5 [1,1,1,-446614470,3632665616607] 2 [23526:12238233:8] 54390ce6 [1,1,1,-7145833220,232499415616607] 2 [415526:9494233:8]
54390cf (1 curve)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7-  2 -1 -4  6
Curve Equation t Generators 54390cf1 [1,1,1,76670,-2523025] 1 [413:9783:1]
54390cg (2 curves)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7- -2 -2  2 -2
Curve Equation t Generators 54390cg1 [1,1,1,-50,-1765] 2 [230:1057:8] 54390cg2 [1,1,1,-2500,-48805] 2 [12930:24395:216]
54390ch (2 curves)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7-  3 -2 -3 -2
Curve Equation t Generators 54390ch1 [1,1,1,-4086405,4240546827] 1 [967:-35044:1] 54390ch2 [1,1,1,-360837765,2638100614155] 1 [12463:-283732:1]
54390ci (2 curves)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7- -3  4 -3  4
Curve Equation t Generators 54390ci1 [1,1,1,1175,-196393] 1 [55:168:1] 54390ci2 [1,1,1,-10585,5340215] 1 [433:8848:1]
54390cj (4 curves)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7-  4 -2  2 -8
Curve Equation t Generators 54390cj1 [1,1,1,351280,290548145] 4 [-195:14749:1] 54390cj2 [1,1,1,-5015200,3974100017] 4 [-113:67431:1] 54390cj3 [1,1,1,-17452380,-23566791375] 2 [596945:-5927873:125] 54390cj4 [1,1,1,-78441700,267369640817] 2 [5881:-100401:1]
54390ck (1 curve)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+ -5 -1  0  0
Curve Equation t Generators 54390ck1 [1,0,0,-451781,115146261] 1 [298:2497:1]
54390cl (1 curve)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7- -2  5  8  6
Curve Equation t 54390cl1 [1,0,0,-547821,-192652335] 1
54390cm (1 curve)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7-  5 -2  7  2
Curve Equation t 54390cm1 [1,0,0,-12986,-606684] 1
54390cn (1 curve)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7- -5 -1 -2  4
Curve Equation t 54390cn1 [1,0,0,-36086,-2641500] 1
54390co (1 curve)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7- -5  2 -3  6
Curve Equation t 54390co1 [1,0,0,-6371,-199935] 1
54390cp (4 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  0  2 -2  0
Curve Equation t Generators 54390cp1 [1,0,0,3919,-76455] 2 [1026:32415:1] 54390cp2 [1,0,0,-20581,-698755] 4 [-26552:258697:512] 54390cp3 [1,0,0,-140631,19781775] 2 [1062:14343:8] 54390cp4 [1,0,0,-292531,-60908485] 2 [-211960232:29220427:681472]
54390cq (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  1 -1  1  5
Curve Equation t Generators 54390cq1 [1,0,0,-42386,3355260] 1 [118:-74:1]
54390cr (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -1  2  3 -6
Curve Equation t Generators 54390cr1 [1,0,0,15807644,-2625831664] 1 [2048:-196828:1]
54390cs (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  2  1  4 -6
Curve Equation t Generators 54390cs1 [1,0,0,3756829,876668001] 1 [1768:113335:1]
54390ct (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -3 -1 -8  0
Curve Equation t Generators 54390ct1 [1,0,0,-1261,-15919] 1 [-22:47:1]
54390cu (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -3 -6  2 -7
Curve Equation t Generators 54390cu1 [1,0,0,-3361,84041] 1 [26:107:1]
54390cv (6 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  4  2 -2 -4
Curve Equation t Generators 54390cv1 [1,0,0,-41406,-11167164] 2 [2076:93042:1] 54390cv2 [1,0,0,-1044926,-410367420] 4 [-596:1186:1] 54390cv3 [1,0,0,-1436926,-74580220] 4 [-1024:18494:1] 54390cv4 [1,0,0,-16709246,-26290956924] 2 [-2360:1186:1] 54390cv5 [1,0,0,5707274,-593249140] 2 [446:44954:1] 54390cv6 [1,0,0,-14853126,21936037500] 2 [2454:15090:1]
54390cw (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -4 -1  6  0
Curve Equation t Generators 54390cw1 [1,0,0,-83546,-10532124] 1 [648:14082:1]
54390cx (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  5 -5  5 -5
Curve Equation t Generators 54390cx1 [1,0,0,5389,57441] 1 [106:1297:1]
54390cy (1 curve)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+ -1  2  6  1
Curve Equation t 54390cy1 [1,0,0,3843265,-2020148103] 1
54390cz (2 curves)	1	2- 3- 5- 7- 37+	2- 3- 5- 7-  2 -2  2  2
Curve Equation t Generators 54390cz1 [1,0,0,-51221220,-141104015088] 2 [33464:5951468:1] 54390cz2 [1,0,0,-819541220,-9030412751088] 2 [1068168:121615076:27]
54390da (2 curves)	1	2- 3- 5- 7- 37+	2- 3- 5- 7- -2  2 -6 -6
Curve Equation t Generators 54390da1 [1,0,0,-56155,8083025] 2 [410:-7555:1] 54390da2 [1,0,0,-1036155,405767025] 2 [690:-4755:1]
54390db (1 curve)	1	2- 3- 5- 7- 37+	2- 3- 5- 7- -3 -2 -3  2
Curve Equation t Generators 54390db1 [1,0,0,11710,-108648] 1 [172:2560:1]
54390dc (1 curve)	1	2- 3- 5- 7- 37+	2- 3- 5- 7- -4  1  2 -4
Curve Equation t Generators 54390dc1 [1,0,0,40865,16017497] 1 [704:19493:1]
54390dd (2 curves)	0	2- 3- 5- 7- 37-	2- 3- 5- 7-  0  6 -2  6
Curve Equation t 54390dd1 [1,0,0,-17312975,-27806855175] 2 54390dd2 [1,0,0,-277224655,-1776648585223] 2
54390de (1 curve)	0	2- 3- 5- 7- 37-	2- 3- 5- 7-  1  3 -3 -1
Curve Equation t 54390de1 [1,0,0,87648455,-314038663] 1
54390df (2 curves)	0	2- 3- 5- 7- 37-	2- 3- 5- 7-  4 -4  6  4
Curve Equation t 54390df1 [1,0,0,-225,-1863] 2 54390df2 [1,0,0,-4005,-97875] 2
54390dg (4 curves)	0	2- 3- 5- 7- 37-	2- 3- 5- 7-  4 -6 -6 -4
Curve Equation t 54390dg1 [1,0,0,-1030,86372] 4 54390dg2 [1,0,0,-36310,2647700] 4 54390dg3 [1,0,0,-56890,-698608] 2 54390dg4 [1,0,0,-580210,170060120] 2
54390dh (1 curve)	0	2- 3- 5- 7- 37-	2- 3- 5- 7- -6  3  4  6
Curve Equation t 54390dh1 [1,0,0,1665,-23535] 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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