Cremona's table of elliptic curves

54150 = 2 · 3 · 5² · 19²

Class	r	Atkin-Lehner	Eigenvalues
54150a (1 curve)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  1  2  3 -4 19+
Curve Equation t Generators 54150a1 [1,1,0,-46194650,121624564500] 1 [127260:110835570:343]
54150b (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  1 -3 -2  6 19+
Curve Equation t Generators 54150b1 [1,1,0,13350,-1750500] 1 [1005:31560:1] 54150b2 [1,1,0,-798900,-275478750] 1 [1215:22830:1]
54150c (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  2  0  2  2 19+
Curve Equation t Generators 54150c1 [1,1,0,-36525,3700125] 2 [26:1651:1] 54150c2 [1,1,0,-644525,198868125] 2 [74:12275:1]
54150d (1 curve)	1	2+ 3+ 5+ 19+	2+ 3+ 5+ -2  5  0 -1 19+
Curve Equation t Generators 54150d1 [1,1,0,715,399255] 1 [478:6259:8]
54150e (1 curve)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -1 -2 -3 -4 19-
Curve Equation t 54150e1 [1,1,0,-9841950,-12455167500] 1
54150f (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2 -2  0  2 19-
Curve Equation t 54150f1 [1,1,0,-158125,-65421875] 2 54150f2 [1,1,0,-3587625,-2613540375] 2
54150g (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2  4 -6 -4 19-
Curve Equation t 54150g1 [1,1,0,-708650,805084500] 2 54150g2 [1,1,0,-18036650,29413612500] 2
54150h (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -2 -3  6 -2 19-
Curve Equation t 54150h1 [1,1,0,1722685,-51097395] 1 54150h2 [1,1,0,-179376575,924770189625] 1
54150i (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -2 -6  0 -2 19-
Curve Equation t 54150i1 [1,1,0,-889150,-354447500] 2 54150i2 [1,1,0,-14607150,-21493885500] 2
54150j (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -4  4  0  2 19-
Curve Equation t 54150j1 [1,1,0,-862075,307671625] 2 54150j2 [1,1,0,-771825,374727375] 2
54150k (1 curve)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  5  1  6 -4 19-
Curve Equation t 54150k1 [1,1,0,-77375,8317125] 1
54150l (1 curve)	1	2+ 3+ 5- 19-	2+ 3+ 5-  2  5  0  1 19-
Curve Equation t Generators 54150l1 [1,1,0,50,-7250] 1 [85:745:1]
54150m (4 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5- -2  2  6 -2 19-
Curve Equation t Generators 54150m1 [1,1,0,-1090,18400] 2 [-21:191:1] 54150m2 [1,1,0,-19140,1011150] 2 [75:30:1] 54150m3 [1,1,0,-10115,-1885875] 2 [2449:119891:1] 54150m4 [1,1,0,-298915,-62822675] 2 [3293059:157796521:1331]
54150n (1 curve)	1	2+ 3+ 5- 19-	2+ 3+ 5- -4 -1  0 -8 19-
Curve Equation t Generators 54150n1 [1,1,0,-185200,-32038400] 1 [720:14080:1]
54150o (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  0  2  4  2 19+
Curve Equation t 54150o1 [1,0,1,-2640001,-1612621852] 2 54150o2 [1,0,1,-6069501,3442461148] 2
54150p (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+  2 -3  0  7 19+
Curve Equation t 54150p1 [1,0,1,-1919806,1043868848] 1
54150q (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -2  0  2  6 19+
Curve Equation t 54150q1 [1,0,1,-5651,-168802] 2 54150q2 [1,0,1,-91151,-10599802] 2
54150r (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+  3  2  7  0 19+
Curve Equation t 54150r1 [1,0,1,789499,-347136352] 1
54150s (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+ -3  1 -2 -2 19+
Curve Equation t 54150s1 [1,0,1,103599,-26821052] 1
54150t (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  4  6 -4 -6 19+
Curve Equation t 54150t1 [1,0,1,-21330776,1919420198] 2 54150t2 [1,0,1,-240818776,1434737084198] 2
54150u (2 curves)	2	2+ 3- 5+ 19+	2+ 3- 5+ -4 -2 -4 -6 19+
Curve Equation t Generators 54150u1 [1,0,1,-24176,-1400002] 2 [-786:1757:8]&[-87:259:1] 54150u2 [1,0,1,-62176,4071998] 2 [-263:1631:1]&[-98:-2989:1]
54150v (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  1  6  5  0 19-
Curve Equation t Generators 54150v1 [1,0,1,-901,-12052] 1 [37:56:1] 54150v2 [1,0,1,6224,59198] 1 [-141:4457:27]
54150w (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  2 -3  2  5 19-
Curve Equation t Generators 54150w1 [1,0,1,-4701,157048] 1 [58:254:1]
54150x (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2  0  2  0 19-
Curve Equation t Generators 54150x1 [1,0,1,-203251,-435671602] 2 [967:16016:1] 54150x2 [1,0,1,-9950251,-11995613602] 2 [17212:2208581:1] 54150x3 [1,0,1,1827374,11695282148] 2 [1091988:142707799:64] 54150x4 [1,0,1,-67484626,206046130148] 2 [2501333796:301474997923:140608]
54150y (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2  3  2 -6 19-
Curve Equation t Generators 54150y1 [1,0,1,2519,-56512] 1 [163:2084:1] 54150y2 [1,0,1,-24556,2401898] 1 [4971:52373:27]
54150z (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2 -3  2 -3 19-
Curve Equation t Generators 54150z1 [1,0,1,-27435286,-55318180312] 1 [6842884941806:5557675934421799:10360232] 54150z2 [1,0,1,1886939,-165616661872] 1 [294089564393536131042014290964105997426426:238860979296335477740944997352330140309382669:445262039942474239752124871847413432]
54150ba (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2  5 -6 -3 19-
Curve Equation t Generators 54150ba1 [1,0,1,-331,2768] 1 [16:-49:1]
54150bb (8 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  4  0  2 -6 19-
Curve Equation t Generators 54150bb1 [1,0,1,13349,-1821802] 2 [163:-2248:1] 54150bb2 [1,0,1,-167151,-23842802] 4 [-268:1446:1] 54150bb3 [1,0,1,-122026,53681948] 2 [4686:105953:8] 54150bb4 [1,0,1,-618401,161169698] 2 [-768:13921:1] 54150bb5 [1,0,1,-2603901,-1617477302] 2 [3488:176409:1] 54150bb6 [1,0,1,-3010026,2005969948] 4 [-180536:28243137:512] 54150bb7 [1,0,1,-48135026,128536469948] 2 [-11274:3525383:8] 54150bb8 [1,0,1,-4093026,433453948] 2 [-118854725528:11470451505941:233744896]
54150bc (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  4 -4 -6  6 19-
Curve Equation t Generators 54150bc1 [1,0,1,112624,12690398] 2 [-84:1666:1] 54150bc2 [1,0,1,-609376,116658398] 4 [757:9071:1] 54150bc3 [1,0,1,-4038876,-3038481602] 2 [-1033:6141:1] 54150bc4 [1,0,1,-8731876,9928638398] 2 [1512:12781:1]
54150bd (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -4  0  2  2 19-
Curve Equation t Generators 54150bd1 [1,0,1,33180224,441516701198] 2 [-5708:260066:1] 54150bd2 [1,0,1,-706147776,6841139869198] 4 [11522:478551:1] 54150bd3 [1,0,1,-2109715776,-28798258786802] 2 [-10603474:-894251247:343] 54150bd4 [1,0,1,-11131827776,452059378589198] 2 [58272:-1149974:1]
54150be (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  2 -3  2  3 19+
Curve Equation t Generators 54150be1 [1,0,1,-1899951,1007931298] 3 [302:21336:1] 54150be2 [1,0,1,130674,3018250048] 1 [10358:580423:8]
54150bf (1 curve)	1	2+ 3- 5- 19+	2+ 3- 5-  2  5 -6  3 19+
Curve Equation t Generators 54150bf1 [1,0,1,-2982951,-2397291452] 1 [929648:895884132:1]
54150bg (1 curve)	1	2+ 3- 5- 19+	2+ 3- 5- -2 -3  2 -5 19+
Curve Equation t Generators 54150bg1 [1,0,1,-67876,-8644702] 1 [312:601:1]
54150bh (1 curve)	0	2+ 3- 5- 19-	2+ 3- 5-  0  1  4 -4 19-
Curve Equation t 54150bh1 [1,0,1,356299,390170048] 1
54150bi (2 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  0 -4 -2 -6 19-
Curve Equation t 54150bi1 [1,0,1,-57046,-5471512] 2 54150bi2 [1,0,1,-923446,-341634712] 2
54150bj (2 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  0 -4  4  6 19-
Curve Equation t 54150bj1 [1,0,1,1484424,-432458702] 2 54150bj2 [1,0,1,-7089326,-3759073702] 2
54150bk (1 curve)	0	2+ 3- 5- 19-	2+ 3- 5- -2 -3  0 -7 19-
Curve Equation t 54150bk1 [1,0,1,-132951,-19037702] 1
54150bl (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  0  2 -4  2 19+
Curve Equation t 54150bl1 [1,1,1,-7313,232031] 2 54150bl2 [1,1,1,-16813,-508969] 2
54150bm (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  1  6 -5  0 19+
Curve Equation t 54150bm1 [1,1,1,-325088,82012781] 1 54150bm2 [1,1,1,2247037,-401546719] 1
54150bn (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+  2 -3 -2  5 19+
Curve Equation t 54150bn1 [1,1,1,-1696888,-1080587719] 1
54150bo (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+ -2  0 -2  6 19+
Curve Equation t 54150bo1 [1,1,1,-2039838,1153731531] 2 54150bo2 [1,1,1,-32905338,72638229531] 2
54150bp (2 curves)	2	2- 3+ 5+ 19+	2- 3+ 5+ -2 -3 -2 -3 19+
Curve Equation t Generators 54150bp1 [1,1,1,-75998,8033051] 1 [321:3943:1]&[-211:3943:1] 54150bp2 [1,1,1,5227,24148091] 1 [231:6028:1]&[-249:2860:1]
54150bq (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+ -2  5  6 -3 19+
Curve Equation t 54150bq1 [1,1,1,-119318,-19226059] 1
54150br (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  4  6  4 -6 19+
Curve Equation t 54150br1 [1,1,1,-59088,-304719] 2 54150br2 [1,1,1,-667088,-209456719] 2
54150bs (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+ -4 -2  4 -6 19+
Curve Equation t 54150bs1 [1,1,1,-8727363,9585157281] 2 54150bs2 [1,1,1,-22445363,-27974726719] 2
54150bt (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  0  1 -4  4 19-
Curve Equation t Generators 54150bt1 [1,1,1,14252,3127061] 1 [-59:1473:1]
54150bu (4 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  0  4  2 -2 19-
Curve Equation t Generators 54150bu1 [1,1,1,-279963,-56791719] 2 [-70086:64537:216] 54150bu2 [1,1,1,-460463,25155281] 4 [-4732995:28857268:6859] 54150bu3 [1,1,1,1795787,201142781] 2 [-2552605247780:213128883760617:30254664896] 54150bu4 [1,1,1,-5604713,5097385781] 2 [100879051326:-26358513771917:1481544]
54150bv (4 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  0 -4  2  6 19-
Curve Equation t Generators 54150bv1 [1,1,1,-3176988,1957046781] 2 [36255:270659:27] 54150bv2 [1,1,1,-49384988,133557430781] 4 [-4505:516677:1] 54150bv3 [1,1,1,-47940988,141736246781] 2 [32915:5833767:1] 54150bv4 [1,1,1,-790156988,8548727350781] 2 [438177:-219299:27]
54150bw (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  2  0  6 -8 19-
Curve Equation t Generators 54150bw1 [1,1,1,-188,2412281] 2 [345:6427:1] 54150bw2 [1,1,1,-270938,53313281] 2 [29300:308443:64]
54150bx (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  2 -3  0  7 19-
Curve Equation t Generators 54150bx1 [1,1,1,-5318,-154429] 1 [129:-1217:1]
54150by (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  3  2 -7  0 19-
Curve Equation t Generators 54150by1 [1,1,1,2187,51531] 1 [-15:132:1]
54150bz (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+ -3  1  2 -2 19-
Curve Equation t Generators 54150bz1 [1,1,1,287,4031] 1 [5:-78:1]
54150ca (4 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+ -4  0 -6 -2 19-
Curve Equation t Generators 54150ca1 [1,1,1,-17147688,-28572181719] 2 [24627510:3793840871:1000] 54150ca2 [1,1,1,-277789688,-1782171557719] 4 [-390641587270980:127781688505687:40565745856] 54150ca3 [1,1,1,-281219188,-1735914461719] 2 [-317185275:-8548294081:35937] 54150ca4 [1,1,1,-4444632188,-114053575877719] 2 [-656358077384348670860252460:328157311199125615557419117:17052138707980593830976]
54150cb (1 curve)	1	2- 3+ 5- 19+	2- 3+ 5- -2 -3  0 -7 19+
Curve Equation t Generators 54150cb1 [1,1,1,-47995138,130483606031] 1 [4121:-54045:1]
54150cc (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  0 -4  2  6 19-
Curve Equation t 54150cc1 [1,1,1,-1426138,-683938969] 2 54150cc2 [1,1,1,-23086138,-42704338969] 2
54150cd (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  0 -4 -4 -6 19-
Curve Equation t 54150cd1 [1,1,1,59377,-3435919] 2 54150cd2 [1,1,1,-283573,-30186019] 2
54150ce (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  2  3 -2  6 19-
Curve Equation t 54150ce1 [1,1,1,62987,-7063969] 1 54150ce2 [1,1,1,-613888,300237281] 1
54150cf (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  2 -3 -2  3 19-
Curve Equation t 54150cf1 [1,1,1,-685882138,-6914772538969] 1 54150cf2 [1,1,1,47173487,-20702082733969] 1
54150cg (1 curve)	0	2- 3+ 5- 19-	2- 3+ 5-  2  5  6  3 19-
Curve Equation t 54150cg1 [1,1,1,-8263,346031] 1
54150ch (1 curve)	2	2- 3+ 5- 19-	2- 3+ 5- -2 -3 -2 -5 19-
Curve Equation t Generators 54150ch1 [1,1,1,-188,1181] 1 [5:17:1]&[-90:401:8]
54150ci (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -1 -2  3 -4 19+
Curve Equation t Generators 54150ci1 [1,0,0,-27263,1813017] 1 [-8:-1421:1]
54150cj (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  2  0 -2  2 19+
Curve Equation t Generators 54150cj1 [1,0,0,-13185713,-25484642583] 2 [29962:-5160581:1] 54150cj2 [1,0,0,-232673713,-1365897858583] 2 [-8758:-6421:1]
54150ck (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  5  1 -6 -4 19+
Curve Equation t Generators 54150ck1 [1,0,0,-27932563,-57270620383] 1 [11582:1077209:1]
54150cl (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  1  2 -3 -4 19-
Curve Equation t 54150cl1 [1,0,0,-127963,-17745583] 1
54150cm (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  1 -3  2  6 19-
Curve Equation t 54150cm1 [1,0,0,4819162,12045233292] 1 54150cm2 [1,0,0,-288403088,1887201522042] 1
54150cn (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2  2  4  2 19-
Curve Equation t 54150cn1 [1,0,0,84248187,632887735617] 2 54150cn2 [1,0,0,-793703813,7415066935617] 2 54150cn3 [1,0,0,-29795721813,1979605144945617] 2 54150cn4 [1,0,0,-476731591313,126694824849573117] 2
54150co (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2 -4  6 -4 19-
Curve Equation t 54150co1 [1,0,0,-13140588,18417605292] 2 54150co2 [1,0,0,-210517338,1175637490542] 2
54150cp (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+ -2  5  0 -1 19-
Curve Equation t 54150cp1 [1,0,0,2,-58] 1
54150cq (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2  6 -4  6 19-
Curve Equation t 54150cq1 [1,0,0,-233485963,-1385843469583] 2 54150cq2 [1,0,0,-3745293963,-88222319885583] 2 54150cq3 [1,0,0,771538037,-7213769709583] 2 54150cq4 [1,0,0,-4180659963,-66437105591583] 2
54150cr (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  4  0 -4 -6 19-
Curve Equation t 54150cr1 [1,0,0,-72388,-578608] 2 54150cr2 [1,0,0,288612,-4549608] 2 54150cr3 [1,0,0,-3862888,2921896892] 2 54150cr4 [1,0,0,-3772638,3064943142] 2
54150cs (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  4 -1  0  8 19-
Curve Equation t 54150cs1 [1,0,0,-4630013,-3995539983] 1
54150ct (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -4 -4 -2  2 19-
Curve Equation t 54150ct1 [1,0,0,-90438,-17870508] 4 54150ct2 [1,0,0,-1714938,-864235008] 4 54150ct3 [1,0,0,-1985688,-573178758] 2 54150ct4 [1,0,0,-27436188,-55316121258] 2
54150cu (1 curve)	0	2- 3- 5- 19+	2- 3- 5-  2  5  0  1 19+
Curve Equation t 54150cu1 [1,0,0,17862,49871142] 1
54150cv (4 curves)	1	2- 3- 5- 19-	2- 3- 5-  2  2 -6  2 19-
Curve Equation t Generators 54150cv1 [1,0,0,-27263,2354517] 2 [8910:1448931:1000] 54150cv2 [1,0,0,-478513,127350767] 2 [15995198670:-65872266653:35937000] 54150cv3 [1,0,0,-252888,-235228608] 2 [1056:25464:1] 54150cv4 [1,0,0,-7472888,-7837888608] 2 [-1598:5674:1]
54150cw (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  2 -3 -6  2 19-
Curve Equation t Generators 54150cw1 [1,0,0,-7175063,7398161517] 1 [1702:9979:1] 54150cw2 [1,0,0,43067112,-6473308608] 1 [19752:2914224:1]

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