Cremona's table of elliptic curves

49590 = 2 · 3² · 5 · 19 · 29

Class	r	Atkin-Lehner	Eigenvalues
49590a (1 curve)	1	2+ 3+ 5+ 19+ 29+	2+ 3+ 5+  3 -2 -1  6 19+
Curve Equation t Generators 49590a1 [1,-1,0,-15,61] 1 [2:-7:1]
49590b (1 curve)	0	2+ 3+ 5+ 19+ 29-	2+ 3+ 5+  1 -5  4  6 19+
Curve Equation t 49590b1 [1,-1,0,255,-1315] 1
49590c (2 curves)	2	2+ 3+ 5+ 19+ 29-	2+ 3+ 5+ -2  0 -6 -4 19+
Curve Equation t Generators 49590c1 [1,-1,0,-180,-880] 2 [-7:4:1]&[17:19:1] 49590c2 [1,-1,0,-300,536] 2 [-17:31:1]&[-7:51:1]
49590d (2 curves)	0	2+ 3+ 5+ 19+ 29-	2+ 3+ 5+ -2  4 -2  0 19+
Curve Equation t 49590d1 [1,-1,0,-24287595,-46063207675] 2 49590d2 [1,-1,0,-25393515,-41637537019] 2
49590e (1 curve)	0	2+ 3+ 5+ 19+ 29-	2+ 3+ 5+ -3 -3  0 -6 19+
Curve Equation t 49590e1 [1,-1,0,-1155,-116675] 1
49590f (2 curves)	1	2+ 3+ 5+ 19- 29-	2+ 3+ 5+ -1 -6  5 -6 19-
Curve Equation t Generators 49590f1 [1,-1,0,-18510,980820] 3 [-84:1434:1] 49590f2 [1,-1,0,55875,5163461] 1 [4130:329711:125]
49590g (1 curve)	0	2+ 3+ 5- 19+ 29+	2+ 3+ 5- -5  3  0 -2 19+
Curve Equation t 49590g1 [1,-1,0,-59334,-5548492] 1
49590h (2 curves)	1	2+ 3+ 5- 19+ 29-	2+ 3+ 5-  2 -2 -4  2 19+
Curve Equation t Generators 49590h1 [1,-1,0,33141,5870213] 2 [94:-3179:1] 49590h2 [1,-1,0,-356739,72695645] 2 [49:7414:1]
49590i (4 curves)	1	2+ 3+ 5- 19- 29+	2+ 3+ 5-  2  0  2  0 19-
Curve Equation t Generators 49590i1 [1,-1,0,-1554024,746038080] 6 [236523:-22041896:27] 49590i2 [1,-1,0,-1554504,745554528] 6 [-1311:23655:1] 49590i3 [1,-1,0,-1598199,701411165] 2 [13062270888490656:-1216973128725981257:1490920833024] 49590i4 [1,-1,0,-6021879,-4931702947] 2 [-2406472208:27686654365:1404928]
49590j (2 curves)	1	2+ 3+ 5- 19- 29+	2+ 3+ 5- -2  0  2  4 19-
Curve Equation t Generators 49590j1 [1,-1,0,-174,928] 2 [9:1:1] 49590j2 [1,-1,0,-204,610] 2 [-1:29:1]
49590k (1 curve)	0	2+ 3- 5+ 19+ 29+	2+ 3- 5+  0  4  2 -3 19+
Curve Equation t 49590k1 [1,-1,0,-19845,1081075] 1
49590l (4 curves)	0	2+ 3- 5+ 19+ 29+	2+ 3- 5+  0  4  2 -6 19+
Curve Equation t 49590l1 [1,-1,0,56115,1245541] 2 49590l2 [1,-1,0,-231885,10288741] 4 49590l3 [1,-1,0,-2215485,-1260405419] 2 49590l4 [1,-1,0,-2856285,1856291701] 2
49590m (6 curves)	0	2+ 3- 5+ 19+ 29+	2+ 3- 5+  0  4 -2 -2 19+
Curve Equation t 49590m1 [1,-1,0,-1305,-198099] 2 49590m2 [1,-1,0,-59625,-5551875] 4 49590m3 [1,-1,0,-100125,2977425] 4 49590m4 [1,-1,0,-952245,-357422679] 2 49590m5 [1,-1,0,387225,23153715] 2 49590m6 [1,-1,0,-1235475,528190335] 2
49590n (1 curve)	0	2+ 3- 5+ 19+ 29+	2+ 3- 5+  5 -1  2  7 19+
Curve Equation t 49590n1 [1,-1,0,-8440875,-6592596539] 1
49590o (2 curves)	1	2+ 3- 5+ 19+ 29-	2+ 3- 5+  0  6  0  0 19+
Curve Equation t Generators 49590o1 [1,-1,0,1935,-3875] 2 [26:239:1] 49590o2 [1,-1,0,-7785,-25259] 2 [-25:404:1]
49590p (2 curves)	1	2+ 3- 5+ 19+ 29-	2+ 3- 5+  3  3  4  2 19+
Curve Equation t Generators 49590p1 [1,-1,0,-26775,-1686339] 1 [15081:1844322:1] 49590p2 [1,-1,0,190575,39268071] 1 [591:18627:1]
49590q (2 curves)	1	2+ 3- 5+ 19+ 29-	2+ 3- 5+  3  3 -6 -3 19+
Curve Equation t Generators 49590q1 [1,-1,0,-483525,-116616875] 1 [3585642678:-79435991131:3442951] 49590q2 [1,-1,0,-68321925,217381337365] 1 [4818:3043:1]
49590r (4 curves)	0	2+ 3- 5+ 19- 29-	2+ 3- 5+  4  0  2 -2 19-
Curve Equation t 49590r1 [1,-1,0,41805,2622325] 2 49590r2 [1,-1,0,-218115,23883781] 4 49590r3 [1,-1,0,-1500615,-689955719] 2 49590r4 [1,-1,0,-3094335,2095337425] 2
49590s (2 curves)	1	2+ 3- 5- 19+ 29+	2+ 3- 5-  0  2  2 -2 19+
Curve Equation t Generators 49590s1 [1,-1,0,-29754,-34430540] 2 [5852900:38053214:15625] 49590s2 [1,-1,0,-1779354,-905381420] 2 [399342944275:-55398913672166:20796875]
49590t (2 curves)	1	2+ 3- 5- 19+ 29+	2+ 3- 5-  2  2 -4 -2 19+
Curve Equation t Generators 49590t1 [1,-1,0,-286839,-55374755] 2 [-289:1967:1] 49590t2 [1,-1,0,-908919,267235933] 2 [-613:24674:1]
49590u (1 curve)	0	2+ 3- 5- 19- 29+	2+ 3- 5-  1  0  5 -8 19-
Curve Equation t 49590u1 [1,-1,0,-6264,-190220] 1
49590v (1 curve)	0	2+ 3- 5- 19- 29+	2+ 3- 5-  4  4  2 -3 19-
Curve Equation t 49590v1 [1,-1,0,-5424,320480] 1
49590w (2 curves)	1	2+ 3- 5- 19- 29-	2+ 3- 5- -1  3  2 -3 19-
Curve Equation t Generators 49590w1 [1,-1,0,-909,-1755] 1 [34:59:1] 49590w2 [1,-1,0,-45369,3730833] 3 [124:-49:1]
49590x (2 curves)	1	2+ 3- 5- 19- 29-	2+ 3- 5- -1 -3 -4 -6 19-
Curve Equation t Generators 49590x1 [1,-1,0,-5274,213300] 1 [39:-276:1] 49590x2 [1,-1,0,-477234,127014588] 3 [399:-204:1]
49590y (4 curves)	1	2+ 3- 5- 19- 29-	2+ 3- 5- -4 -6 -4  0 19-
Curve Equation t Generators 49590y1 [1,-1,0,21096,-2903040] 2 [216:-3528:1] 49590y2 [1,-1,0,-221904,-35416440] 2 [-329:1542:1] 49590y3 [1,-1,0,-194364,89270748] 6 [-543:6144:1] 49590y4 [1,-1,0,-4413114,3564676998] 6 [5006:256467:8]
49590z (2 curves)	0	2- 3+ 5+ 19+ 29+	2- 3+ 5+  2  2 -4 -2 19+
Curve Equation t 49590z1 [1,-1,1,3682,-218643] 2 49590z2 [1,-1,1,-39638,-2679219] 2
49590ba (1 curve)	1	2- 3+ 5+ 19+ 29-	2- 3+ 5+ -5 -3  0  2 19+
Curve Equation t Generators 49590ba1 [1,-1,1,-6593,207697] 1 [55:-124:1]
49590bb (4 curves)	0	2- 3+ 5+ 19- 29-	2- 3+ 5+  2  0  2  0 19-
Curve Equation t 49590bb1 [1,-1,1,-177578,-25918999] 6 49590bb2 [1,-1,1,-669098,182878697] 6 49590bb3 [1,-1,1,-13986218,-20129041943] 2 49590bb4 [1,-1,1,-13990538,-20115981719] 2
49590bc (2 curves)	0	2- 3+ 5+ 19- 29-	2- 3+ 5+ -2  0  2 -4 19-
Curve Equation t 49590bc1 [1,-1,1,-1568,-23489] 2 49590bc2 [1,-1,1,-1838,-14633] 2
49590bd (1 curve)	1	2- 3+ 5- 19+ 29+	2- 3+ 5-  1  5  4 -6 19+
Curve Equation t Generators 49590bd1 [1,-1,1,28,39] 1 [-1:3:1]
49590be (2 curves)	1	2- 3+ 5- 19+ 29+	2- 3+ 5- -2  0 -6  4 19+
Curve Equation t Generators 49590be1 [1,-1,1,-1622,25381] 2 [29:31:1] 49590be2 [1,-1,1,-2702,-11771] 2 [-13:151:1]
49590bf (2 curves)	1	2- 3+ 5- 19+ 29+	2- 3+ 5- -2 -4 -2  0 19+
Curve Equation t Generators 49590bf1 [1,-1,1,-2698622,1706944269] 2 [977:1011:1] 49590bf2 [1,-1,1,-2821502,1543071501] 2 [-999:58499:1]
49590bg (1 curve)	1	2- 3+ 5- 19+ 29+	2- 3+ 5- -3  3  0  6 19+
Curve Equation t Generators 49590bg1 [1,-1,1,-10397,3160621] 1 [661:16544:1]
49590bh (1 curve)	0	2- 3+ 5- 19+ 29-	2- 3+ 5-  3  2 -1 -6 19+
Curve Equation t 49590bh1 [1,-1,1,-137,-1511] 1
49590bi (2 curves)	0	2- 3+ 5- 19- 29+	2- 3+ 5- -1  6  5  6 19-
Curve Equation t 49590bi1 [1,-1,1,6208,-193309] 3 49590bi2 [1,-1,1,-166592,-26315549] 1
49590bj (4 curves)	1	2- 3- 5+ 19+ 29+	2- 3- 5+  4 -4 -6 -2 19+
Curve Equation t Generators 49590bj1 [1,-1,1,-1932323,-3615630109] 2 [2331:66226:1] 49590bj2 [1,-1,1,-49118243,-132206699293] 4 [-4077:18418:1] 49590bj3 [1,-1,1,-67780643,-22538971933] 2 [12134762185:1312448311446:753571] 49590bj4 [1,-1,1,-785430563,-8472269085469] 2 [-35546225:17578114:2197]
49590bk (2 curves)	1	2- 3- 5+ 19+ 29+	2- 3- 5+ -4 -4  2  4 19+
Curve Equation t Generators 49590bk1 [1,-1,1,-1146578,180445137] 2 [-127:18063:1] 49590bk2 [1,-1,1,4198702,1382064081] 2 [833:-74289:1]
49590bl (4 curves)	0	2- 3- 5+ 19+ 29-	2- 3- 5+  0  0  6  2 19+
Curve Equation t 49590bl1 [1,-1,1,-47048,-2119669] 4 49590bl2 [1,-1,1,-652568,-202667893] 4 49590bl3 [1,-1,1,-553388,-266460469] 2 49590bl4 [1,-1,1,-10440068,-12981227893] 2
49590bm (1 curve)	0	2- 3- 5+ 19+ 29-	2- 3- 5+ -3  3 -2  7 19+
Curve Equation t 49590bm1 [1,-1,1,-173,-503] 1
49590bn (1 curve)	0	2- 3- 5+ 19+ 29-	2- 3- 5+  4  4  6  1 19+
Curve Equation t 49590bn1 [1,-1,1,-19748,2581831] 1
49590bo (1 curve)	0	2- 3- 5+ 19+ 29-	2- 3- 5+ -5  4  5 -4 19+
Curve Equation t 49590bo1 [1,-1,1,1282,-1519] 1
49590bp (1 curve)	0	2- 3- 5+ 19- 29+	2- 3- 5+  3 -3  0  2 19-
Curve Equation t 49590bp1 [1,-1,1,-127245983,562168116231] 1
49590bq (4 curves)	0	2- 3- 5+ 19- 29+	2- 3- 5+  4 -4  6  2 19-
Curve Equation t 49590bq1 [1,-1,1,-211392653,-1180725746763] 2 49590bq2 [1,-1,1,-286975373,-261246841419] 4 49590bq3 [1,-1,1,1135391107,-2080169096043] 2 49590bq4 [1,-1,1,-2918665373,60403418362581] 2
49590br (4 curves)	2	2- 3- 5+ 19- 29+	2- 3- 5+ -4 -4 -2 -2 19-
Curve Equation t Generators 49590br1 [1,-1,1,-2318,-29923] 2 [57:115:1]&[-33:115:1] 49590br2 [1,-1,1,-13838,605981] 4 [-117:841:1]&[-105:997:1] 49590br3 [1,-1,1,7042,2259677] 2 [-93:937:1]&[15:-1547:1] 49590br4 [1,-1,1,-219038,39511901] 2 [271:-123:1]&[273:-65:1]
49590bs (2 curves)	1	2- 3- 5+ 19- 29-	2- 3- 5+  0  0  2 -4 19-
Curve Equation t Generators 49590bs1 [1,-1,1,-5288,-93333] 2 [-37:243:1] 49590bs2 [1,-1,1,15592,-661269] 2 [167:2481:1]
49590bt (1 curve)	1	2- 3- 5+ 19- 29-	2- 3- 5+  1  1  2  1 19-
Curve Equation t Generators 49590bt1 [1,-1,1,-1373,-17179] 1 [-17:40:1]
49590bu (1 curve)	1	2- 3- 5+ 19- 29-	2- 3- 5+  1 -4 -3 -4 19-
Curve Equation t Generators 49590bu1 [1,-1,1,-1965848,2365932831] 1 [2141:88191:1]
49590bv (2 curves)	1	2- 3- 5+ 19- 29-	2- 3- 5+  2  6  4 -6 19-
Curve Equation t Generators 49590bv1 [1,-1,1,-20183,408687] 2 [227:-2850:1] 49590bv2 [1,-1,1,-175703,-28020369] 2 [-247:636:1]
49590bw (2 curves)	0	2- 3- 5- 19+ 29+	2- 3- 5-  0 -2  2  6 19+
Curve Equation t 49590bw1 [1,-1,1,13,911] 2 49590bw2 [1,-1,1,-1337,18731] 2
49590bx (1 curve)	0	2- 3- 5- 19+ 29+	2- 3- 5- -1  1 -4 -2 19+
Curve Equation t 49590bx1 [1,-1,1,175648,-8559579] 1
49590by (1 curve)	0	2- 3- 5- 19+ 29+	2- 3- 5- -1  5  2  7 19+
Curve Equation t 49590by1 [1,-1,1,-56777,-4660599] 1
49590bz (2 curves)	0	2- 3- 5- 19+ 29+	2- 3- 5-  4  2  4  0 19+
Curve Equation t 49590bz1 [1,-1,1,-3947,104919] 2 49590bz2 [1,-1,1,-64697,6350019] 2
49590ca (2 curves)	0	2- 3- 5- 19+ 29+	2- 3- 5-  4 -4  6  8 19+
Curve Equation t 49590ca1 [1,-1,1,-90887,-10380801] 2 49590ca2 [1,-1,1,-7367,-28788609] 2
49590cb (2 curves)	2	2- 3- 5- 19+ 29+	2- 3- 5- -4 -2 -4 -8 19+
Curve Equation t Generators 49590cb1 [1,-1,1,46138,2706261] 2 [41:-2181:1]&[-31:1131:1] 49590cb2 [1,-1,1,-230342,24161109] 2 [17:4491:1]&[-483:4991:1]
49590cc (2 curves)	1	2- 3- 5- 19+ 29-	2- 3- 5-  0  0  4 -8 19+
Curve Equation t Generators 49590cc1 [1,-1,1,-5897,186121] 2 [61:-256:1] 49590cc2 [1,-1,1,-95897,11454121] 2 [41:2734:1]
49590cd (4 curves)	1	2- 3- 5- 19+ 29-	2- 3- 5-  0  0 -6  6 19+
Curve Equation t Generators 49590cd1 [1,-1,1,-273857,50067281] 4 [411:2404:1] 49590cd2 [1,-1,1,-1011137,-336562351] 4 [-713:4996:1] 49590cd3 [1,-1,1,1724863,-1843551151] 2 [997:28936:1] 49590cd4 [1,-1,1,-15543617,-23582717359] 2 [-2279:1864:1]
49590ce (1 curve)	1	2- 3- 5- 19- 29+	2- 3- 5- -1  3 -2  1 19-
Curve Equation t Generators 49590ce1 [1,-1,1,-1119917,456449941] 1 [611:-296:1]
49590cf (2 curves)	1	2- 3- 5- 19- 29+	2- 3- 5-  2  0 -2  4 19-
Curve Equation t Generators 49590cf1 [1,-1,1,9148,-631641] 2 [59:303:1] 49590cf2 [1,-1,1,-78332,-7070169] 2 [-109:459:1]
49590cg (1 curve)	1	2- 3- 5- 19- 29+	2- 3- 5-  3  0 -3 -4 19-
Curve Equation t Generators 49590cg1 [1,-1,1,-12497,-9705279] 1 [821:22674:1]
49590ch (2 curves)	1	2- 3- 5- 19- 29+	2- 3- 5- -4  0  4  4 19-
Curve Equation t Generators 49590ch1 [1,-1,1,43,-611] 2 [13:38:1] 49590ch2 [1,-1,1,-857,-8891] 2 [43:158:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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