Cremona's table of elliptic curves

48450 = 2 · 3 · 5² · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
48450a (2 curves)	1	2+ 3+ 5+ 17+ 19+	2+ 3+ 5+ -3  2 -4 17+ 19+
Curve Equation t Generators 48450a1 [1,1,0,-17323750,27747428500] 1 [64308:26390:27] 48450a2 [1,1,0,89954750,64662121000] 1 [974009011818469938:2610093949854501372640:9611019235430397]
48450b (4 curves)	1	2+ 3+ 5+ 17+ 19+	2+ 3+ 5+ -4  4  2 17+ 19+
Curve Equation t Generators 48450b1 [1,1,0,-17988025,29357033125] 2 [-1646:234295:1] 48450b2 [1,1,0,-18116025,28917865125] 4 [-13218:1871535:8] 48450b3 [1,1,0,4383975,96035365125] 2 [-254997778:-168837065957:551368] 48450b4 [1,1,0,-42664025,-66303826875] 2 [-7580174:-475290731:2744]
48450c (1 curve)	0	2+ 3+ 5+ 17+ 19-	2+ 3+ 5+ -3 -5 -2 17+ 19-
Curve Equation t 48450c1 [1,1,0,-6827200,-6868976000] 1
48450d (2 curves)	0	2+ 3+ 5+ 17- 19+	2+ 3+ 5+  2 -4  0 17- 19+
Curve Equation t 48450d1 [1,1,0,-3475,-33875] 2 48450d2 [1,1,0,12525,-241875] 2
48450e (2 curves)	2	2+ 3+ 5+ 17- 19+	2+ 3+ 5+ -2 -2 -4 17- 19+
Curve Equation t Generators 48450e1 [1,1,0,1625,17125] 2 [15:-220:1]&[9:176:1] 48450e2 [1,1,0,-7875,140625] 2 [-96:201:1]&[125:-1125:1]
48450f (2 curves)	0	2+ 3+ 5+ 17- 19+	2+ 3+ 5+ -2  4 -4 17- 19+
Curve Equation t 48450f1 [1,1,0,-1675810125,26404250908125] 2 48450f2 [1,1,0,-26812962125,1689905558812125] 2
48450g (2 curves)	0	2+ 3+ 5+ 17- 19+	2+ 3+ 5+ -2  4 -4 17- 19+
Curve Equation t 48450g1 [1,1,0,-29790875,-62597784375] 2 48450g2 [1,1,0,-29634625,-63286690625] 2
48450h (4 curves)	0	2+ 3+ 5+ 17- 19+	2+ 3+ 5+  4  4  2 17- 19+
Curve Equation t 48450h1 [1,1,0,9500,-446000] 2 48450h2 [1,1,0,-62500,-4550000] 4 48450h3 [1,1,0,-347500,74965000] 2 48450h4 [1,1,0,-929500,-345281000] 2
48450i (2 curves)	1	2+ 3+ 5+ 17- 19-	2+ 3+ 5+  0 -6  2 17- 19-
Curve Equation t Generators 48450i1 [1,1,0,56250,32116500] 2 [215:7255:1] 48450i2 [1,1,0,-1235750,501112500] 2 [759:690:1]
48450j (2 curves)	1	2+ 3+ 5+ 17- 19-	2+ 3+ 5+  1  6  4 17- 19-
Curve Equation t Generators 48450j1 [1,1,0,150,4500] 1 [4:70:1] 48450j2 [1,1,0,-1350,-123000] 1 [106:916:1]
48450k (2 curves)	1	2+ 3+ 5+ 17- 19-	2+ 3+ 5+  2 -2  2 17- 19-
Curve Equation t Generators 48450k1 [1,1,0,-323500,-27950000] 2 [-349:6701:1] 48450k2 [1,1,0,-2755500,1740114000] 2 [9240:870180:1]
48450l (4 curves)	1	2+ 3+ 5+ 17- 19-	2+ 3+ 5+  4  0  4 17- 19-
Curve Equation t Generators 48450l1 [1,1,0,19750,1396500] 2 [470:13065:8] 48450l2 [1,1,0,-132250,14012500] 2 [4:3670:1] 48450l3 [1,1,0,-190250,-55093500] 2 [1015:27755:1] 48450l4 [1,1,0,-3619750,-2651225000] 2 [-1094:1516:1]
48450m (2 curves)	0	2+ 3+ 5- 17+ 19+	2+ 3+ 5-  2  2 -4 17+ 19+
Curve Equation t 48450m1 [1,1,0,-3935375,-3008929275] 1 48450m2 [1,1,0,27354300,27338274000] 1
48450n (1 curve)	1	2+ 3+ 5- 17+ 19-	2+ 3+ 5-  4 -2 -2 17+ 19-
Curve Equation t Generators 48450n1 [1,1,0,-1559200,748939000] 1 [711:281:1]
48450o (1 curve)	1	2+ 3- 5+ 17- 19+	2+ 3- 5+ -2  3  2 17- 19+
Curve Equation t Generators 48450o1 [1,0,1,-66236,10824698] 1 [81:-2489:1]
48450p (2 curves)	0	2+ 3- 5+ 17- 19-	2+ 3- 5+  2 -4  0 17- 19-
Curve Equation t 48450p1 [1,0,1,-97401,-13718552] 2 48450p2 [1,0,1,-1631651,-802323052] 2
48450q (2 curves)	2	2+ 3- 5+ 17- 19-	2+ 3- 5+ -2 -6 -2 17- 19-
Curve Equation t Generators 48450q1 [1,0,1,-1351,-8902] 2 [67:416:1]&[-17:104:1] 48450q2 [1,0,1,-10851,428098] 2 [77:-264:1]&[-103:726:1]
48450r (1 curve)	0	2+ 3- 5+ 17- 19-	2+ 3- 5+  5  1  2 17- 19-
Curve Equation t 48450r1 [1,0,1,9,-62] 1
48450s (1 curve)	0	2+ 3- 5- 17- 19+	2+ 3- 5-  2  2  0 17- 19+
Curve Equation t 48450s1 [1,0,1,3549,-54452] 1
48450t (2 curves)	0	2+ 3- 5- 17- 19+	2+ 3- 5-  4  4  2 17- 19+
Curve Equation t 48450t1 [1,0,1,154644,-2633942] 2 48450t2 [1,0,1,-622956,-21296342] 2
48450u (1 curve)	1	2+ 3- 5- 17- 19-	2+ 3- 5- -2 -1 -2 17- 19-
Curve Equation t Generators 48450u1 [1,0,1,-15350601,-23614859252] 1 [5627:258306:1]
48450v (1 curve)	1	2+ 3- 5- 17- 19-	2+ 3- 5- -2  2  4 17- 19-
Curve Equation t Generators 48450v1 [1,0,1,-13451,815798] 1 [102:661:1]
48450w (4 curves)	0	2- 3+ 5+ 17+ 19+	2- 3+ 5+  0  4  6 17+ 19+
Curve Equation t 48450w1 [1,1,1,-538,-4969] 2 48450w2 [1,1,1,-1038,5031] 4 48450w3 [1,1,1,3712,43031] 2 48450w4 [1,1,1,-13788,617031] 2
48450x (1 curve)	0	2- 3+ 5+ 17+ 19+	2- 3+ 5+ -2  2  0 17+ 19+
Curve Equation t 48450x1 [1,1,1,142,-379] 1
48450y (2 curves)	0	2- 3+ 5+ 17+ 19+	2- 3+ 5+ -2 -4  0 17+ 19+
Curve Equation t 48450y1 [1,1,1,-6271575532688,6045205773609927281] 2 48450y2 [1,1,1,-6166717932688,6257104528272327281] 2
48450z (1 curve)	0	2- 3+ 5+ 17+ 19+	2- 3+ 5+  3 -2  0 17+ 19+
Curve Equation t 48450z1 [1,1,1,-115688,15714281] 1
48450ba (4 curves)	0	2- 3+ 5+ 17+ 19+	2- 3+ 5+ -4  4 -6 17+ 19+
Curve Equation t 48450ba1 [1,1,1,-2973063,-990249219] 2 48450ba2 [1,1,1,-22973063,41689750781] 4 48450ba3 [1,1,1,-23063,121234450781] 2 48450ba4 [1,1,1,-365923063,2694065050781] 2
48450bb (2 curves)	1	2- 3+ 5+ 17+ 19-	2- 3+ 5+  0 -2  2 17+ 19-
Curve Equation t Generators 48450bb1 [1,1,1,-5313,153531] 2 [270:811:8] 48450bb2 [1,1,1,-86063,9682031] 2 [1358:-545:8]
48450bc (1 curve)	1	2- 3+ 5+ 17+ 19-	2- 3+ 5+  2 -1  2 17+ 19-
Curve Equation t Generators 48450bc1 [1,1,1,-383765013,-2951857406469] 1 [201951637581:29807995647748:5735339]
48450bd (1 curve)	1	2- 3+ 5+ 17+ 19-	2- 3+ 5+  2  2 -4 17+ 19-
Curve Equation t Generators 48450bd1 [1,1,1,-538,6311] 1 [1:75:1]
48450be (4 curves)	1	2- 3+ 5+ 17+ 19-	2- 3+ 5+  4 -6 -2 17+ 19-
Curve Equation t Generators 48450be1 [1,1,1,-4941688,-8218211719] 2 [39289354381:1957476162003:9393931] 48450be2 [1,1,1,-98288688,-374885227719] 2 [82147087022508959:-8658378484136402583:4631574346309] 48450be3 [1,1,1,-497506063,-4271367754219] 2 [38029:5620888:1] 48450be4 [1,1,1,-7960098063,-273357510090219] 2 [159629:-50315112:1]
48450bf (2 curves)	1	2- 3+ 5+ 17- 19+	2- 3+ 5+  0  0  0 17- 19+
Curve Equation t Generators 48450bf1 [1,1,1,-8301338,-17558842969] 2 [3701:47435:1] 48450bf2 [1,1,1,-163949338,-807628090969] 2 [-7255:-1173:1]
48450bg (4 curves)	1	2- 3+ 5+ 17- 19+	2- 3+ 5+  0  0 -6 17- 19+
Curve Equation t Generators 48450bg1 [1,1,1,-35713,3292031] 4 [-185:1992:1] 48450bg2 [1,1,1,-613713,184784031] 4 [-395:19322:1] 48450bg3 [1,1,1,-656213,157669031] 2 [-405:19102:1] 48450bg4 [1,1,1,-9819213,11838947031] 2 [3215:114642:1]
48450bh (2 curves)	1	2- 3+ 5+ 17- 19+	2- 3+ 5+ -2 -2  2 17- 19+
Curve Equation t Generators 48450bh1 [1,1,1,-1462438,679994531] 2 [305:16047:1] 48450bh2 [1,1,1,-1614438,529818531] 2 [229:13007:1]
48450bi (2 curves)	1	2- 3+ 5+ 17- 19+	2- 3+ 5+  4 -4  4 17- 19+
Curve Equation t Generators 48450bi1 [1,1,1,-1338,89031] 2 [21:255:1] 48450bi2 [1,1,1,-39338,2977031] 2 [75:637:1]
48450bj (1 curve)	1	2- 3+ 5- 17+ 19+	2- 3+ 5-  2  3 -2 17+ 19+
Curve Equation t Generators 48450bj1 [1,1,1,-1655888,1353087281] 1 [1085:28357:1]
48450bk (2 curves)	1	2- 3+ 5- 17+ 19+	2- 3+ 5- -4  4 -2 17+ 19+
Curve Equation t Generators 48450bk1 [1,1,1,3866112,-329242719] 2 [571:45155:1] 48450bk2 [1,1,1,-15573888,-2662042719] 2 [8571:-706845:1]
48450bl (1 curve)	0	2- 3+ 5- 17+ 19-	2- 3+ 5- -5  1 -2 17+ 19-
Curve Equation t 48450bl1 [1,1,1,237,-7719] 1
48450bm (4 curves)	1	2- 3- 5+ 17+ 19+	2- 3- 5+  0  0 -2 17+ 19+
Curve Equation t Generators 48450bm1 [1,0,0,5437,103617] 2 [46:649:1] 48450bm2 [1,0,0,-26563,903617] 4 [-58:1529:1] 48450bm3 [1,0,0,-196563,-32926383] 2 [-228:339:1] 48450bm4 [1,0,0,-368563,86061617] 2 [428:2387:1]
48450bn (2 curves)	1	2- 3- 5+ 17+ 19+	2- 3- 5+  2  2 -4 17+ 19+
Curve Equation t Generators 48450bn1 [1,0,0,-177338,-31905708] 2 [682:12484:1] 48450bn2 [1,0,0,-2922838,-1923555208] 2 [-988:644:1]
48450bo (2 curves)	1	2- 3- 5+ 17+ 19+	2- 3- 5+ -2  0  4 17+ 19+
Curve Equation t Generators 48450bo1 [1,0,0,-86463,-16171083] 2 [522:8739:1] 48450bo2 [1,0,0,-1620713,-794035833] 2 [-5914:6707:8]
48450bp (2 curves)	0	2- 3- 5+ 17- 19+	2- 3- 5+  0  0  4 17- 19+
Curve Equation t 48450bp1 [1,0,0,-131813,-73498383] 2 48450bp2 [1,0,0,-3561313,-2580462883] 2
48450bq (2 curves)	0	2- 3- 5+ 17- 19+	2- 3- 5+  2 -4 -4 17- 19+
Curve Equation t 48450bq1 [1,0,0,-488,4092] 2 48450bq2 [1,0,0,-238,8342] 2
48450br (2 curves)	0	2- 3- 5+ 17- 19+	2- 3- 5+  2  6  6 17- 19+
Curve Equation t 48450br1 [1,0,0,-3788277738,-86371276834908] 2 48450br2 [1,0,0,-59977205738,-5653626452002908] 2
48450bs (2 curves)	0	2- 3- 5+ 17- 19+	2- 3- 5+  2 -6  6 17- 19+
Curve Equation t 48450bs1 [1,0,0,-50438,4353492] 2 48450bs2 [1,0,0,-59938,2595992] 2
48450bt (2 curves)	0	2- 3- 5+ 17- 19+	2- 3- 5+ -2  2  4 17- 19+
Curve Equation t 48450bt1 [1,0,0,1094172,218706192] 5 48450bt2 [1,0,0,-98384388,-375919390608] 1
48450bu (2 curves)	0	2- 3- 5+ 17- 19+	2- 3- 5+ -2  4  0 17- 19+
Curve Equation t 48450bu1 [1,0,0,-41485338,-102758967708] 2 48450bu2 [1,0,0,-31485338,-153548967708] 2
48450bv (4 curves)	0	2- 3- 5+ 17- 19+	2- 3- 5+  4 -4 -2 17- 19+
Curve Equation t 48450bv1 [1,0,0,-3838,52292] 2 48450bv2 [1,0,0,-53838,4802292] 4 48450bv3 [1,0,0,-46338,6189792] 2 48450bv4 [1,0,0,-861338,307614792] 4
48450bw (2 curves)	1	2- 3- 5+ 17- 19-	2- 3- 5+  0  4 -4 17- 19-
Curve Equation t Generators 48450bw1 [1,0,0,-7513,-230983] 2 [106:355:1] 48450bw2 [1,0,0,8487,-1078983] 2 [182:2459:1]
48450bx (2 curves)	1	2- 3- 5+ 17- 19-	2- 3- 5+  2 -2 -4 17- 19-
Curve Equation t Generators 48450bx1 [1,0,0,10187,-1388383] 2 [182:-2641:1] 48450bx2 [1,0,0,-141813,-18868383] 2 [792:-19521:1]
48450by (2 curves)	1	2- 3- 5+ 17- 19-	2- 3- 5+ -2  0  2 17- 19-
Curve Equation t Generators 48450by1 [1,0,0,-241838,44924292] 2 [508:-7550:1] 48450by2 [1,0,0,14162,135292292] 2 [1676:-70606:1]
48450bz (1 curve)	1	2- 3- 5+ 17- 19-	2- 3- 5+ -4 -2  2 17- 19-
Curve Equation t Generators 48450bz1 [1,0,0,-62368,5991512] 1 [146:-16:1]
48450ca (1 curve)	0	2- 3- 5- 17- 19-	2- 3- 5-  3 -5  2 17- 19-
Curve Equation t 48450ca1 [1,0,0,-273088,-54951808] 1

Data from Elliptic Curve Data by J. E. Cremona.
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