Cremona's table of elliptic curves

71478 = 2 · 3² · 11 · 19²

Class	r	Atkin-Lehner	Eigenvalues
71478a (1 curve)	1	2+ 3+ 11+ 19+	2+ 3+ -1 -4 11+  2  3 19+
Curve Equation t Generators 71478a1 [1,-1,0,798645,-85857211] 1 [633731:29770138:343]
71478b (1 curve)	1	2+ 3+ 11+ 19+	2+ 3+  2  1 11+ -1  0 19+
Curve Equation t Generators 71478b1 [1,-1,0,474,-220] 1 [43:-335:1]
71478c (4 curves)	0	2+ 3+ 11+ 19-	2+ 3+  0  2 11+ -2 -6 19-
Curve Equation t 71478c1 [1,-1,0,-23352,-1318592] 2 71478c2 [1,-1,0,-369912,-86503040] 2 71478c3 [1,-1,0,-283272,57706352] 2 71478c4 [1,-1,0,-478212,-31693132] 2
71478d (2 curves)	0	2+ 3+ 11+ 19-	2+ 3+  3 -4 11+  4 -3 19-
Curve Equation t 71478d1 [1,-1,0,12387,1218877] 1 71478d2 [1,-1,0,-604923,181541987] 1
71478e (1 curve)	2	2+ 3+ 11- 19+	2+ 3+  1 -4 11- -2 -3 19+
Curve Equation t Generators 71478e1 [1,-1,0,246,-524] 1 [5:26:1]&[78:379:8]
71478f (1 curve)	1	2+ 3+ 11- 19-	2+ 3+ -2  1 11-  1  0 19-
Curve Equation t Generators 71478f1 [1,-1,0,1539417,-19187731] 1 [3130:186733:1]
71478g (1 curve)	1	2+ 3+ 11- 19-	2+ 3+ -3  0 11-  4  5 19-
Curve Equation t Generators 71478g1 [1,-1,0,-178221,273074981] 1 [689:21496:1]
71478h (2 curves)	0	2+ 3- 11+ 19+	2+ 3-  0  2 11+ -1  6 19+
Curve Equation t 71478h1 [1,-1,0,-1691172,858387024] 1 71478h2 [1,-1,0,-137499372,620616391560] 3
71478i (2 curves)	0	2+ 3- 11+ 19+	2+ 3- -1  1 11+  2  0 19+
Curve Equation t 71478i1 [1,-1,0,-3213870,-1637465896] 1 71478i2 [1,-1,0,-2712587460,54378741733712] 1
71478j (1 curve)	0	2+ 3- 11+ 19+	2+ 3- -1 -2 11+ -2  3 19+
Curve Equation t 71478j1 [1,-1,0,1518840,-1266517458] 1
71478k (1 curve)	0	2+ 3- 11+ 19+	2+ 3- -1 -3 11+ -2  0 19+
Curve Equation t 71478k1 [1,-1,0,-14904855,17267011357] 1
71478l (1 curve)	0	2+ 3- 11+ 19+	2+ 3-  4 -4 11+  7  0 19+
Curve Equation t 71478l1 [1,-1,0,2640,-47872] 1
71478m (1 curve)	0	2+ 3- 11+ 19+	2+ 3- -4 -5 11+  1 -6 19+
Curve Equation t 71478m1 [1,-1,0,-1197324,-504633456] 1
71478n (1 curve)	1	2+ 3- 11+ 19-	2+ 3-  0  1 11+ -4  3 19-
Curve Equation t Generators 71478n1 [1,-1,0,-36747,-6610491] 1 [630:14517:1]
71478o (2 curves)	1	2+ 3- 11+ 19-	2+ 3-  2 -2 11+  2 -6 19-
Curve Equation t Generators 71478o1 [1,-1,0,-118656,15454912] 2 [-336:4328:1] 71478o2 [1,-1,0,11304,47399080] 2 [1294:57835:8]
71478p (1 curve)	1	2+ 3- 11+ 19-	2+ 3- -2 -3 11+  2 -1 19-
Curve Equation t Generators 71478p1 [1,-1,0,-1008,-13824] 1 [48:192:1]
71478q (1 curve)	1	2+ 3- 11+ 19-	2+ 3-  3  1 11+  2  0 19-
Curve Equation t Generators 71478q1 [1,-1,0,-3573,21573] 1 [6:15:1]
71478r (2 curves)	1	2+ 3- 11+ 19-	2+ 3-  3 -1 11+  4  0 19-
Curve Equation t Generators 71478r1 [1,-1,0,-2370213,1045274197] 1 [54330:1204271:125] 71478r2 [1,-1,0,-66879108,-210427785392] 1 [-19297904836886794680:43490950918552702684:4099456972091125]
71478s (2 curves)	1	2+ 3- 11+ 19-	2+ 3-  4  0 11+ -4  2 19-
Curve Equation t Generators 71478s1 [1,-1,0,-4166910,3274200468] 2 [1089:4653:1] 71478s2 [1,-1,0,-3647070,4121019828] 2 [101997:18931284:343]
71478t (1 curve)	1	2+ 3- 11- 19+	2+ 3-  1  2 11-  2  3 19+
Curve Equation t Generators 71478t1 [1,-1,0,-5454,156492] 1 [43:-12:1]
71478u (1 curve)	1	2+ 3- 11- 19+	2+ 3- -1  3 11- -2  4 19+
Curve Equation t Generators 71478u1 [1,-1,0,-175031820,891343151824] 1 [632:883412:1]
71478v (1 curve)	1	2+ 3- 11- 19+	2+ 3- -1 -3 11-  4  4 19+
Curve Equation t Generators 71478v1 [1,-1,0,-24435,-942791] 1 [-90:767:1]
71478w (2 curves)	1	2+ 3- 11- 19+	2+ 3- -2  2 11-  2  6 19+
Curve Equation t Generators 71478w1 [1,-1,0,-602928,178986240] 2 [-32:14096:1] 71478w2 [1,-1,0,-1040688,-114925824] 2 [-203:9479:1]
71478x (1 curve)	1	2+ 3- 11- 19+	2+ 3-  4 -1 11- -5  3 19+
Curve Equation t Generators 71478x1 [1,-1,0,-13320,-588992] 1 [15753:364286:27]
71478y (2 curves)	0	2+ 3- 11- 19-	2+ 3-  0 -1 11-  4  3 19-
Curve Equation t 71478y1 [1,-1,0,-17082,-1055480] 1 71478y2 [1,-1,0,-1471437,-686638427] 1
71478z (2 curves)	0	2+ 3- 11- 19-	2+ 3-  0 -1 11- -5 -6 19-
Curve Equation t 71478z1 [1,-1,0,-21191782887,1187411621515645] 1 71478z2 [1,-1,0,-21068629542,1201894134688948] 1
71478ba (4 curves)	0	2+ 3- 11- 19-	2+ 3-  0  2 11-  4  6 19-
Curve Equation t 71478ba1 [1,-1,0,-17937,876649] 2 71478ba2 [1,-1,0,14553,3677287] 2 71478ba3 [1,-1,0,-261612,-51240560] 2 71478ba4 [1,-1,0,-131652,-102262856] 2
71478bb (2 curves)	0	2+ 3- 11- 19-	2+ 3-  0 -2 11-  4 -2 19-
Curve Equation t 71478bb1 [1,-1,0,-667737,169317805] 2 71478bb2 [1,-1,0,1411623,1012290349] 2
71478bc (1 curve)	0	2+ 3- 11- 19-	2+ 3-  0  4 11- -5  4 19-
Curve Equation t 71478bc1 [1,-1,0,18,-4172] 1
71478bd (2 curves)	0	2+ 3- 11- 19-	2+ 3-  0 -4 11-  0  2 19-
Curve Equation t 71478bd1 [1,-1,0,-47615787,107471141253] 2 71478bd2 [1,-1,0,85463253,600369289605] 2
71478be (1 curve)	0	2+ 3- 11- 19-	2+ 3-  0 -4 11-  3 -4 19-
Curve Equation t 71478be1 [1,-1,0,1224378,-642379086] 1
71478bf (1 curve)	0	2+ 3- 11- 19-	2+ 3-  3 -1 11- -6 -4 19-
Curve Equation t 71478bf1 [1,-1,0,-2370213,1391928057] 1
71478bg (1 curve)	0	2+ 3- 11- 19-	2+ 3-  3  3 11- -2 -4 19-
Curve Equation t 71478bg1 [1,-1,0,-3003,-61723] 1
71478bh (1 curve)	0	2+ 3- 11- 19-	2+ 3- -3  2 11-  0 -7 19-
Curve Equation t 71478bh1 [1,-1,0,-21186,-1727244] 1
71478bi (1 curve)	2	2- 3+ 11+ 19+	2- 3+ -1 -4 11+ -2  3 19+
Curve Equation t Generators 71478bi1 [1,-1,1,2212,11935] 1 [-5:29:1]&[5:149:1]
71478bj (1 curve)	1	2- 3+ 11+ 19-	2- 3+  2  1 11+  1  0 19-
Curve Equation t Generators 71478bj1 [1,-1,1,171046,653641] 1 [35:2567:1]
71478bk (1 curve)	1	2- 3+ 11+ 19-	2- 3+  3  0 11+  4 -5 19-
Curve Equation t Generators 71478bk1 [1,-1,1,-1603991,-7371420497] 1 [2627:79550:1]
71478bl (1 curve)	1	2- 3+ 11- 19+	2- 3+  1 -4 11-  2 -3 19+
Curve Equation t Generators 71478bl1 [1,-1,1,88738,3150317] 1 [271:6723:1]
71478bm (1 curve)	1	2- 3+ 11- 19+	2- 3+ -2  1 11- -1  0 19+
Curve Equation t Generators 71478bm1 [1,-1,1,4264,1675] 1 [43:-535:1]
71478bn (4 curves)	0	2- 3+ 11- 19-	2- 3+  0  2 11- -2  6 19-
Curve Equation t 71478bn1 [1,-1,1,-31475,-2126781] 2 71478bn2 [1,-1,1,-53135,1191531] 2 71478bn3 [1,-1,1,-210170,35812153] 2 71478bn4 [1,-1,1,-3329210,2338911289] 2
71478bo (2 curves)	0	2- 3+ 11- 19-	2- 3+ -3 -4 11-  4  3 19-
Curve Equation t 71478bo1 [1,-1,1,-67214,-6701373] 1 71478bo2 [1,-1,1,111481,-33021161] 1
71478bp (1 curve)	1	2- 3- 11+ 19+	2- 3-  0  1 11+  4  3 19+
Curve Equation t Generators 71478bp1 [1,-1,1,-13265735,45407686335] 1 [-1375:247764:1]
71478bq (1 curve)	1	2- 3- 11+ 19+	2- 3- -1 -2 11+  2  3 19+
Curve Equation t Generators 71478bq1 [1,-1,1,4207,183543] 1 [694:8397:8]
71478br (1 curve)	1	2- 3- 11+ 19+	2- 3- -2 -3 11+ -2 -1 19+
Curve Equation t Generators 71478br1 [1,-1,1,-363956,96638487] 1 [-451:13221:1]
71478bs (1 curve)	1	2- 3- 11+ 19+	2- 3-  3  1 11+ -2  0 19+
Curve Equation t Generators 71478bs1 [1,-1,1,-1289921,-141519711] 1 [-2358343:6272352:2197]
71478bt (2 curves)	1	2- 3- 11+ 19+	2- 3-  3 -1 11+ -4  0 19+
Curve Equation t Generators 71478bt1 [1,-1,1,-6566,-150667] 1 [-33:187:1] 71478bt2 [1,-1,1,-185261,30727829] 3 [-489:2296:1]
71478bu (2 curves)	0	2- 3- 11+ 19-	2- 3-  0  2 11+  1  6 19-
Curve Equation t 71478bu1 [1,-1,1,-4685,-123915] 1 71478bu2 [1,-1,1,-380885,-90381819] 1
71478bv (2 curves)	0	2- 3- 11+ 19-	2- 3- -1  1 11+ -2  0 19-
Curve Equation t 71478bv1 [1,-1,1,-8903,241075] 1 71478bv2 [1,-1,1,-7514093,-7926108587] 1
71478bw (2 curves)	2	2- 3- 11+ 19-	2- 3- -1 -2 11+ -4 -3 19-
Curve Equation t Generators 71478bw1 [1,-1,1,243607,360463785] 1 [689:28896:1]&[-445:13020:1] 71478bw2 [1,-1,1,-39914033,-100887473415] 1 [41045:-8230746:1]&[200470:30503145:8]
71478bx (1 curve)	0	2- 3- 11+ 19-	2- 3- -1 -3 11+  2  0 19-
Curve Equation t 71478bx1 [1,-1,1,-5380652723,-118407527634157] 1
71478by (6 curves)	0	2- 3- 11+ 19-	2- 3-  2  0 11+  2  6 19-
Curve Equation t 71478by1 [1,-1,1,-484169,129250505] 4 71478by2 [1,-1,1,-744089,-24518167] 4 71478by3 [1,-1,1,2959771,-197858815] 2 71478by4 [1,-1,1,-8606669,-9695491567] 4 71478by5 [1,-1,1,-5390159,-17032994179] 2 71478by6 [1,-1,1,-137624459,-621394637515] 2
71478bz (1 curve)	0	2- 3- 11+ 19-	2- 3-  2  1 11+  7  3 19-
Curve Equation t 71478bz1 [1,-1,1,-18479,-1135475] 1
71478ca (2 curves)	0	2- 3- 11+ 19-	2- 3- -2  2 11+  2 -6 19-
Curve Equation t 71478ca1 [1,-1,1,-11981,437041] 2 71478ca2 [1,-1,1,20509,2373445] 2
71478cb (4 curves)	0	2- 3- 11+ 19-	2- 3-  4 -2 11+ -4  2 19-
Curve Equation t 71478cb1 [1,-1,1,-146273,15731889] 2 71478cb2 [1,-1,1,373567,102025329] 2 71478cb3 [1,-1,1,-32701253,-71968982151] 2 71478cb4 [1,-1,1,-32668763,-72119150931] 2
71478cc (1 curve)	0	2- 3- 11+ 19-	2- 3-  4 -4 11+ -7  0 19-
Curve Equation t 71478cc1 [1,-1,1,952972,323589079] 1
71478cd (1 curve)	2	2- 3- 11+ 19-	2- 3- -4 -5 11+ -1 -6 19-
Curve Equation t Generators 71478cd1 [1,-1,1,-3317,74445] 1 [11:-204:1]&[33:-28:1]
71478ce (2 curves)	0	2- 3- 11- 19+	2- 3-  0 -1 11- -4  3 19+
Curve Equation t 71478ce1 [1,-1,1,-6166670,7270370561] 1 71478ce2 [1,-1,1,-531188825,4712308914809] 3
71478cf (2 curves)	0	2- 3- 11- 19+	2- 3-  0 -1 11-  5 -6 19+
Curve Equation t 71478cf1 [1,-1,1,-58703000,-173101860709] 1 71478cf2 [1,-1,1,-58361855,-175213411801] 3
71478cg (1 curve)	0	2- 3- 11- 19+	2- 3-  0  4 11-  5  4 19+
Curve Equation t 71478cg1 [1,-1,1,6430,28583489] 1
71478ch (1 curve)	0	2- 3- 11- 19+	2- 3-  0 -4 11- -3 -4 19+
Curve Equation t 71478ch1 [1,-1,1,442000390,4403868148815] 1
71478ci (1 curve)	0	2- 3- 11- 19+	2- 3-  1  2 11- -2  3 19+
Curve Equation t 71478ci1 [1,-1,1,-1968962,-1063533927] 1
71478cj (2 curves)	0	2- 3- 11- 19+	2- 3- -2  2 11- -2  6 19+
Curve Equation t 71478cj1 [1,-1,1,-217657076,-1226578334889] 2 71478cj2 [1,-1,1,-375688436,790154668887] 2
71478ck (1 curve)	0	2- 3- 11- 19+	2- 3-  3 -1 11-  6 -4 19+
Curve Equation t 71478ck1 [1,-1,1,-6566,-201207] 1
71478cl (1 curve)	0	2- 3- 11- 19+	2- 3-  3  3 11-  2 -4 19+
Curve Equation t 71478cl1 [1,-1,1,-1084151,428778703] 1
71478cm (1 curve)	0	2- 3- 11- 19+	2- 3-  4 -1 11-  5  3 19+
Curve Equation t 71478cm1 [1,-1,1,-4808588,4063938959] 1
71478cn (1 curve)	1	2- 3- 11- 19-	2- 3-  1  2 11-  0 -5 19-
Curve Equation t Generators 71478cn1 [1,-1,1,-10643792,-13425648973] 1 [206247:15892051:27]
71478co (1 curve)	1	2- 3- 11- 19-	2- 3- -1  3 11-  2  4 19-
Curve Equation t Generators 71478co1 [1,-1,1,-484853,-129824755] 1 [-137823:69208:343]
71478cp (1 curve)	1	2- 3- 11- 19-	2- 3- -1 -3 11- -4  4 19-
Curve Equation t Generators 71478cp1 [1,-1,1,-68,155] 1 [-3:19:1]
71478cq (6 curves)	1	2- 3- 11- 19-	2- 3-  2  0 11-  2 -2 19-
Curve Equation t Generators 71478cq1 [1,-1,1,-7274579,7553637875] 2 [-615:108910:1] 71478cq2 [1,-1,1,-7534499,6985036883] 4 [-850333:-142542024:1331] 71478cq3 [1,-1,1,11764561,36883140635] 2 [71823982126325:-11158518230248056:45690734375] 71478cq4 [1,-1,1,-30992279,-59306649397] 4 [-206324240053811:-2993191232144160:85824478531] 71478cq5 [1,-1,1,43702231,-301227228385] 2 [365737113203847307293481911526:-147376319568885541639600965005349:2261634349946914566704872] 71478cq6 [1,-1,1,-481011269,-4060335485689] 2 [-27060071493886850678086275782180:26937197536954532089258132437363:2133356722307728011045671104]
71478cr (1 curve)	1	2- 3- 11- 19-	2- 3-  2 -3 11- -1  7 19-
Curve Equation t Generators 71478cr1 [1,-1,1,214366,-6037855] 1 [385:-11745:1]
71478cs (4 curves)	1	2- 3- 11- 19-	2- 3-  2 -4 11-  2  6 19-
Curve Equation t Generators 71478cs1 [1,-1,1,-1215194,510541593] 2 [-33:23481:1] 71478cs2 [1,-1,1,-2254874,-491709927] 4 [-321:14265:1] 71478cs3 [1,-1,1,8271886,-3784480455] 2 [189245:10461207:343] 71478cs4 [1,-1,1,-29416514,-61355512839] 2 [-93763995:244592357:29791]
71478ct (4 curves)	1	2- 3- 11- 19-	2- 3- -2 -4 11-  6 -2 19-
Curve Equation t Generators 71478ct1 [1,-1,1,-6566,5285] 2 [-81:67:1] 71478ct2 [1,-1,1,-71546,-7324459] 4 [-4353:2531:27] 71478ct3 [1,-1,1,-39056,-14030395] 2 [6462:172211:8] 71478ct4 [1,-1,1,-1143716,-470501899] 2 [-1622175234:808692241:2628072]
71478cu (2 curves)	1	2- 3- 11- 19-	2- 3- -3  2 11-  4 -3 19-
Curve Equation t Generators 71478cu1 [1,-1,1,-37100399,88303479567] 1 [5429:213798:1] 71478cu2 [1,-1,1,144486211,420859618107] 1 [-15050:3026229:8]

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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