Cremona's table of elliptic curves

49350 = 2 · 3 · 5² · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
49350a (4 curves)	2	2+ 3+ 5+ 7+ 47-	2+ 3+ 5+ 7+  0 -2 -6 -4
Curve Equation t Generators 49350a1 [1,1,0,-12575,541125] 2 [-74:1073:1]&[59:-124:1] 49350a2 [1,1,0,-201575,34750125] 2 [-35:6480:1]&[261:-69:1] 49350a3 [1,1,0,36925,2921625] 2 [5:-1765:1]&[-20:1485:1] 49350a4 [1,1,0,-220325,27874875] 2 [-155:7715:1]&[1009:28376:1]
49350b (2 curves)	2	2+ 3+ 5+ 7+ 47-	2+ 3+ 5+ 7+ -3 -5  3 -4
Curve Equation t Generators 49350b1 [1,1,0,-30,180] 1 [-4:18:1]&[-1:15:1] 49350b2 [1,1,0,270,-4560] 1 [14:40:1]&[34:196:1]
49350c (4 curves)	0	2+ 3+ 5+ 7+ 47-	2+ 3+ 5+ 7+ -4  2 -2  4
Curve Equation t 49350c1 [1,1,0,600,-1818000] 2 49350c2 [1,1,0,-219900,-39082500] 4 49350c3 [1,1,0,-466650,64305750] 2 49350c4 [1,1,0,-3501150,-2522988750] 2
49350d (4 curves)	0	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7-  0 -2  6  4
Curve Equation t 49350d1 [1,1,0,-12440925,1589248125] 2 49350d2 [1,1,0,-143512925,660226048125] 4 49350d3 [1,1,0,-89368925,1164360832125] 2 49350d4 [1,1,0,-2294808925,42311467904125] 2
49350e (2 curves)	0	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7- -2  4  2 -6
Curve Equation t 49350e1 [1,1,0,-85500,15714000] 2 49350e2 [1,1,0,-1597500,776250000] 2
49350f (1 curve)	0	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7-  4 -5  5 -6
Curve Equation t 49350f1 [1,1,0,-922070,-3328201260] 1
49350g (2 curves)	0	2+ 3+ 5+ 7- 47+	2+ 3+ 5+ 7-  6  4 -6 -2
Curve Equation t 49350g1 [1,1,0,-675,-7875] 2 49350g2 [1,1,0,-11175,-459375] 2
49350h (4 curves)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7-  0  6  6 -4
Curve Equation t Generators 49350h1 [1,1,0,900,0] 2 [9:90:1] 49350h2 [1,1,0,-3600,-4500] 4 [-45:285:1] 49350h3 [1,1,0,-38850,2921250] 2 [131:253:1] 49350h4 [1,1,0,-40350,-3128250] 2 [-115:145:1]
49350i (4 curves)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7-  0 -6 -6  4
Curve Equation t Generators 49350i1 [1,1,0,-4875,-7875] 2 [-55:340:1] 49350i2 [1,1,0,-54875,-4957875] 4 [-135:180:1] 49350i3 [1,1,0,-32375,-9030375] 4 [320:3515:1] 49350i4 [1,1,0,-877375,-316685375] 2 [1099:6376:1]
49350j (6 curves)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7- -4  2 -2 -4
Curve Equation t Generators 49350j1 [1,1,0,-171600,27936000] 2 [249:726:1] 49350j2 [1,1,0,-2763600,1767168000] 4 [27120:-79360:27] 49350j3 [1,1,0,-2781600,1742958000] 4 [1780:-50240:1] 49350j4 [1,1,0,-44217600,113154066000] 2 [3841:-1679:1] 49350j5 [1,1,0,531900,5642947500] 2 [1075:85825:1] 49350j6 [1,1,0,-6383100,-3706111500] 2 [2809:21790:1]
49350k (2 curves)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7-  0 -2  6  4
Curve Equation t Generators 49350k1 [1,1,0,23175,-232875] 2 [46:943:1] 49350k2 [1,1,0,-94325,-1995375] 2 [-240:2745:1]
49350l (2 curves)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7- -2  2  0  2
Curve Equation t Generators 49350l1 [1,1,0,-390980,93934800] 2 [355:5:1] 49350l2 [1,1,0,-384580,97166800] 2 [-296:13756:1]
49350m (1 curve)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7- -6 -5  0  4
Curve Equation t Generators 49350m1 [1,1,0,-745,7525] 1 [15:-10:1]
49350n (1 curve)	0	2+ 3+ 5- 7- 47-	2+ 3+ 5- 7-  1  7  3 -4
Curve Equation t 49350n1 [1,1,0,-916100,-337873200] 1
49350o (1 curve)	0	2+ 3+ 5- 7- 47-	2+ 3+ 5- 7-  2  1 -4  8
Curve Equation t 49350o1 [1,1,0,527545,1421822325] 1
49350p (1 curve)	0	2+ 3+ 5- 7- 47-	2+ 3+ 5- 7-  3 -2  6  2
Curve Equation t 49350p1 [1,1,0,22050,-1903500] 1
49350q (1 curve)	0	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+  1  3 -3 -4
Curve Equation t 49350q1 [1,0,1,69674,-2172952] 1
49350r (2 curves)	0	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+  2  0 -2  0
Curve Equation t 49350r1 [1,0,1,-2426,-47752] 2 49350r2 [1,0,1,-39176,-2987752] 2
49350s (2 curves)	2	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+ -2 -2  0 -8
Curve Equation t Generators 49350s1 [1,0,1,-1376,18398] 2 [-28:201:1]&[-114:1553:8] 49350s2 [1,0,1,1124,78398] 2 [-8:-259:1]&[-29:161:1]
49350t (2 curves)	0	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+ -2  4  6  4
Curve Equation t 49350t1 [1,0,1,7053374,-2862799852] 2 49350t2 [1,0,1,-30578626,-23786191852] 2
49350u (1 curve)	0	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+  4  1  3 -2
Curve Equation t 49350u1 [1,0,1,-153239076,730121163298] 1
49350v (1 curve)	2	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+ -5 -5 -3  4
Curve Equation t Generators 49350v1 [1,0,1,12774,1487308] 1 [221:-3999:1]&[-52:852:1]
49350w (4 curves)	1	2+ 3- 5+ 7+ 47-	2+ 3- 5+ 7+  0  6 -2 -4
Curve Equation t Generators 49350w1 [1,0,1,-1026,484948] 2 [-67:537:1] 49350w2 [1,0,1,-99026,11852948] 4 [-303:3901:1] 49350w3 [1,0,1,-186526,-12297052] 2 [487:3281:1] 49350w4 [1,0,1,-1579526,763946948] 2 [726:-344:1]
49350x (1 curve)	1	2+ 3- 5+ 7+ 47-	2+ 3- 5+ 7+ -1  6 -2 -2
Curve Equation t Generators 49350x1 [1,0,1,-31,68] 1 [6:7:1]
49350y (2 curves)	1	2+ 3- 5+ 7+ 47-	2+ 3- 5+ 7+  2  2 -4  0
Curve Equation t Generators 49350y1 [1,0,1,-72901,7534448] 2 [22:2426:1] 49350y2 [1,0,1,-32901,15774448] 2 [-37:4134:1]
49350z (1 curve)	1	2+ 3- 5+ 7+ 47-	2+ 3- 5+ 7+ -4 -3 -5 -2
Curve Equation t Generators 49350z1 [1,0,1,-80326,-8922952] 1 [328:47:1]
49350ba (2 curves)	1	2+ 3- 5+ 7+ 47-	2+ 3- 5+ 7+ -6  0  2 -2
Curve Equation t Generators 49350ba1 [1,0,1,-1201,84548] 2 [22:-274:1] 49350ba2 [1,0,1,-37201,2748548] 2 [-188:1856:1]
49350bb (2 curves)	1	2+ 3- 5+ 7- 47+	2+ 3- 5+ 7-  2  0 -2 -4
Curve Equation t Generators 49350bb1 [1,0,1,-102726,-38610152] 2 [59105:509329:125] 49350bb2 [1,0,1,-2454726,-1478034152] 2 [1699730:-197678171:125]
49350bc (2 curves)	1	2+ 3- 5+ 7- 47+	2+ 3- 5+ 7- -2  4  6 -8
Curve Equation t Generators 49350bc1 [1,0,1,-88176,10079998] 2 [161:-333:1] 49350bc2 [1,0,1,-1411176,645119998] 2 [392:12141:1]
49350bd (6 curves)	1	2+ 3- 5+ 7- 47+	2+ 3- 5+ 7-  4  2 -2 -4
Curve Equation t Generators 49350bd1 [1,0,1,7570499,34365818648] 2 [10243906351:-2185798912234:226981] 49350bd2 [1,0,1,-123501501,491807098648] 4 [-10858:748866:1] 49350bd3 [1,0,1,-406253501,-2574921093352] 4 [-15069:-346274:1] 49350bd4 [1,0,1,-1937901501,32835301498648] 2 [182678:-76084926:1] 49350bd5 [1,0,1,827214499,-15168629373352] 2 [16656:-1805624:1] 49350bd6 [1,0,1,-6163753501,-186250686093352] 2 [-99934718:-102763978:2197]
49350be (4 curves)	0	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7-  0  6 -2 -8
Curve Equation t 49350be1 [1,0,1,511924349,17751986051198] 2 49350be2 [1,0,1,-7876683651,249260789635198] 4 49350be3 [1,0,1,-26539083651,-1376047626364802] 2 49350be4 [1,0,1,-123432011651,16691166189443198] 2
49350bf (1 curve)	1	2+ 3- 5- 7+ 47+	2+ 3- 5- 7+  2 -5  8  0
Curve Equation t Generators 49350bf1 [1,0,1,1049,-160702] 1 [52:161:1]
49350bg (1 curve)	0	2+ 3- 5- 7- 47+	2+ 3- 5- 7- -2  4 -4  7
Curve Equation t 49350bg1 [1,0,1,-176,-952] 1
49350bh (1 curve)	2	2+ 3- 5- 7- 47+	2+ 3- 5- 7- -3 -5 -7 -4
Curve Equation t Generators 49350bh1 [1,0,1,-3601,93248] 1 [58:-313:1]&[37:86:1]
49350bi (4 curves)	0	2- 3+ 5+ 7+ 47+	2- 3+ 5+ 7+  0 -2 -6  2
Curve Equation t 49350bi1 [1,1,1,1011662,55804031] 2 49350bi2 [1,1,1,-4091338,443632031] 2 49350bi3 [1,1,1,-12788713,-19401772969] 2 49350bi4 [1,1,1,-210356713,-1174384300969] 2
49350bj (2 curves)	0	2- 3+ 5+ 7+ 47+	2- 3+ 5+ 7+ -4  2  2  2
Curve Equation t 49350bj1 [1,1,1,-438,26031] 2 49350bj2 [1,1,1,-16188,782031] 2
49350bk (2 curves)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+  0 -5 -6 -4
Curve Equation t Generators 49350bk1 [1,1,1,6812,-124219] 1 [25:237:1] 49350bk2 [1,1,1,-137563,-20021719] 1 [475:4462:1]
49350bl (2 curves)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+  2  4  2 -8
Curve Equation t Generators 49350bl1 [1,1,1,-13,-3469] 2 [29:132:1] 49350bl2 [1,1,1,-3513,-80469] 2 [79:338:1]
49350bm (1 curve)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+ -2 -4  4  7
Curve Equation t Generators 49350bm1 [1,1,1,-4388,-118969] 1 [33727356:13518265:438976]
49350bn (1 curve)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+ -3  5  7 -4
Curve Equation t Generators 49350bn1 [1,1,1,-90013,11656031] 1 [197590:1178803:1000]
49350bo (4 curves)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+  4  2 -2  4
Curve Equation t Generators 49350bo1 [1,1,1,437,108281] 2 [19:342:1] 49350bo2 [1,1,1,-31563,2092281] 4 [-5:1502:1] 49350bo3 [1,1,1,-73563,-4711719] 2 [-75:662:1] 49350bo4 [1,1,1,-501563,136512281] 2 [421:230:1]
49350bp (4 curves)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+ -4 -2  2  4
Curve Equation t Generators 49350bp1 [1,1,1,-3937338,5122649031] 4 [-951:89963:1] 49350bp2 [1,1,1,-74625338,248006617031] 4 [2175:308737:1] 49350bp3 [1,1,1,-86375338,164675617031] 2 [246873:-10205249:27] 49350bp4 [1,1,1,-1193883338,15877325329031] 2 [20599:-170287:1]
49350bq (4 curves)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+ -6  4 -6 -4
Curve Equation t Generators 49350bq1 [1,1,1,-27888,6355281] 2 [-35:2717:1] 49350bq2 [1,1,1,-713888,231363281] 2 [175:10487:1] 49350bq3 [1,1,1,247737,-159681219] 2 [3979:250682:1] 49350bq4 [1,1,1,-3336263,-2145217219] 2 [-1085:14642:1]
49350br (2 curves)	1	2- 3+ 5+ 7- 47+	2- 3+ 5+ 7-  2  0  2 -6
Curve Equation t Generators 49350br1 [1,1,1,-56088,5278281] 2 [75:1187:1] 49350br2 [1,1,1,-906588,331870281] 2 [561:195:1]
49350bs (4 curves)	1	2- 3+ 5+ 7- 47+	2- 3+ 5+ 7-  4 -2  2  0
Curve Equation t Generators 49350bs1 [1,1,1,-196063,30379781] 4 [-405:6802:1] 49350bs2 [1,1,1,-708063,-195924219] 4 [-549:5538:1] 49350bs3 [1,1,1,1251937,-1085764219] 2 [1201:45788:1] 49350bs4 [1,1,1,-10860063,-13779300219] 2 [-1899:1488:1]
49350bt (4 curves)	0	2- 3+ 5+ 7- 47-	2- 3+ 5+ 7- -4  6 -6 -4
Curve Equation t 49350bt1 [1,1,1,-4543713,-4202655969] 4 49350bt2 [1,1,1,-75231713,-251186527969] 4 49350bt3 [1,1,1,-77769713,-233334235969] 2 49350bt4 [1,1,1,-1203701713,-16074592867969] 2
49350bu (1 curve)	0	2- 3+ 5- 7- 47+	2- 3+ 5- 7- -1 -6  2 -2
Curve Equation t 49350bu1 [1,1,1,-763,8531] 1
49350bv (1 curve)	0	2- 3+ 5- 7- 47+	2- 3+ 5- 7- -4  3  5 -2
Curve Equation t 49350bv1 [1,1,1,-3213,-72669] 1
49350bw (1 curve)	1	2- 3+ 5- 7- 47-	2- 3+ 5- 7-  1 -3  3 -4
Curve Equation t Generators 49350bw1 [1,1,1,2787,-16269] 1 [39:-412:1]
49350bx (1 curve)	1	2- 3+ 5- 7- 47-	2- 3+ 5- 7-  2  5 -8  0
Curve Equation t Generators 49350bx1 [1,1,1,42,-1269] 1 [15:47:1]
49350by (1 curve)	1	2- 3+ 5- 7- 47-	2- 3+ 5- 7-  4 -1 -3 -2
Curve Equation t Generators 49350by1 [1,1,1,-6129563,5838517481] 1 [1439:-1378:1]
49350bz (1 curve)	1	2- 3+ 5- 7- 47-	2- 3+ 5- 7- -5  5  3  4
Curve Equation t Generators 49350bz1 [1,1,1,319362,185913531] 1 [609:24327:1]
49350ca (1 curve)	1	2- 3- 5+ 7+ 47+	2- 3- 5+ 7+  0 -1 -6  8
Curve Equation t Generators 49350ca1 [1,0,0,-63,-633] 1 [788:1031:64]
49350cb (2 curves)	1	2- 3- 5+ 7+ 47+	2- 3- 5+ 7+  0  6 -6 -6
Curve Equation t Generators 49350cb1 [1,0,0,-783820188,8446379038992] 2 [16272:-32436:1] 49350cb2 [1,0,0,-12541132188,540570562846992] 2 [64656:-32436:1]
49350cc (1 curve)	1	2- 3- 5+ 7+ 47+	2- 3- 5+ 7+  1 -7 -3 -4
Curve Equation t Generators 49350cc1 [1,0,0,-22902513,-42188344983] 1 [5526:-381:1]
49350cd (1 curve)	1	2- 3- 5+ 7+ 47+	2- 3- 5+ 7+  3  2 -6  2
Curve Equation t Generators 49350cd1 [1,0,0,882,-15228] 1 [36:-270:1]
49350ce (2 curves)	0	2- 3- 5+ 7- 47+	2- 3- 5+ 7- -2  4  2  0
Curve Equation t 49350ce1 [1,0,0,-59513,-5662983] 2 49350ce2 [1,0,0,-955513,-359582983] 2
49350cf (2 curves)	1	2- 3- 5+ 7- 47-	2- 3- 5+ 7- -2 -6  0  4
Curve Equation t Generators 49350cf1 [1,0,0,-637438,192647492] 2 [332:4034:1] 49350cf2 [1,0,0,2562,561927492] 2 [-588:-18606:1]
49350cg (1 curve)	1	2- 3- 5+ 7- 47-	2- 3- 5+ 7- -4 -1 -2 -8
Curve Equation t Generators 49350cg1 [1,0,0,-518938,144251492] 1 [392:-1246:1]
49350ch (1 curve)	0	2- 3- 5- 7+ 47+	2- 3- 5- 7+  2 -1  4  8
Curve Equation t 49350ch1 [1,0,0,13188612,177701413392] 1
49350ci (2 curves)	1	2- 3- 5- 7+ 47-	2- 3- 5- 7+  0  2 -6  4
Curve Equation t Generators 49350ci1 [1,0,0,927,-1863] 2 [12:99:1] 49350ci2 [1,0,0,-3773,-15963] 2 [-38:289:1]
49350cj (2 curves)	1	2- 3- 5- 7+ 47-	2- 3- 5- 7+ -2 -2  0  2
Curve Equation t Generators 49350cj1 [1,0,0,-9774513,11761399017] 2 [1866:-5445:1] 49350cj2 [1,0,0,-9614513,12165079017] 2 [3058:105067:1]
49350ck (1 curve)	1	2- 3- 5- 7+ 47-	2- 3- 5- 7+  4  5 -5 -6
Curve Equation t Generators 49350ck1 [1,0,0,-23051763,-415979053983] 1 [9726:524169:1]
49350cl (1 curve)	1	2- 3- 5- 7+ 47-	2- 3- 5- 7+ -6  5  0  4
Curve Equation t Generators 49350cl1 [1,0,0,-18638,977892] 1 [102:324:1]
49350cm (2 curves)	1	2- 3- 5- 7- 47+	2- 3- 5- 7- -3  5 -3 -4
Curve Equation t Generators 49350cm1 [1,0,0,-763,24017] 3 [-22:185:1] 49350cm2 [1,0,0,6737,-583483] 1 [1574:22355:8]

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