Cremona's table of elliptic curves

75582 = 2 · 3² · 13 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
75582a (1 curve)	1	2+ 3+ 13+ 17+ 19+	2+ 3+  3  1  6 13+ 17+ 19+
Curve Equation t Generators 75582a1 [1,-1,0,75072,320228] 1 [26:1500:1]
75582b (1 curve)	2	2+ 3+ 13- 17+ 19+	2+ 3+  1  1 -6 13- 17+ 19+
Curve Equation t Generators 75582b1 [1,-1,0,-2769,56897] 1 [-53:256:1]&[32:1:1]
75582c (1 curve)	1	2+ 3+ 13- 17- 19+	2+ 3+ -2  0 -5 13- 17- 19+
Curve Equation t Generators 75582c1 [1,-1,0,-3018,-85004] 1 [308:-5458:1]
75582d (1 curve)	1	2+ 3+ 13- 17- 19+	2+ 3+ -3 -3 -2 13- 17- 19+
Curve Equation t Generators 75582d1 [1,-1,0,174,-3693484] 1 [916:27190:1]
75582e (2 curves)	1	2+ 3- 13+ 17+ 19-	2+ 3-  0 -4  6 13+ 17+ 19-
Curve Equation t Generators 75582e1 [1,-1,0,-4392,108544] 2 [-40:488:1] 75582e2 [1,-1,0,2448,410872] 2 [-21:602:1]
75582f (2 curves)	1	2+ 3- 13+ 17+ 19-	2+ 3-  4 -4  2 13+ 17+ 19-
Curve Equation t Generators 75582f1 [1,-1,0,-1393830,-632970572] 2 [-2969834572:879849446:4330747] 75582f2 [1,-1,0,-1284390,-736610252] 2 [22769939176755:-483066285626992:14616271125]
75582g (1 curve)	1	2+ 3- 13+ 17- 19+	2+ 3- -1 -3 -4 13+ 17- 19+
Curve Equation t Generators 75582g1 [1,-1,0,1980,-23328] 1 [36:-324:1]
75582h (1 curve)	2	2+ 3- 13+ 17- 19-	2+ 3- -1 -1 -4 13+ 17- 19-
Curve Equation t Generators 75582h1 [1,-1,0,-50670,-5816876] 1 [275:857:1]&[300:2282:1]
75582i (2 curves)	0	2+ 3- 13+ 17- 19-	2+ 3-  2 -2  0 13+ 17- 19-
Curve Equation t 75582i1 [1,-1,0,-415476,-102974436] 2 75582i2 [1,-1,0,-416646,-102364398] 2
75582j (2 curves)	0	2+ 3- 13+ 17- 19-	2+ 3- -2  2  2 13+ 17- 19-
Curve Equation t 75582j1 [1,-1,0,-32091543,-28198935779] 2 75582j2 [1,-1,0,-422806023,-3343880155955] 2
75582k (4 curves)	1	2+ 3- 13- 17+ 19+	2+ 3-  2  0  0 13- 17+ 19+
Curve Equation t Generators 75582k1 [1,-1,0,-3025386,-2023905420] 2 [9913:965630:1] 75582k2 [1,-1,0,-3512106,-1328577228] 4 [241985309:23531363638:24389] 75582k3 [1,-1,0,11693214,-9767529828] 2 [18668003306927:-1943580210700521:1939096223] 75582k4 [1,-1,0,-26504946,51605539020] 2 [6540472485478815:-181270227190735200:1582388942077]
75582l (4 curves)	1	2+ 3- 13- 17+ 19+	2+ 3- -2  0  4 13- 17+ 19+
Curve Equation t Generators 75582l1 [1,-1,0,12943962,-157168244300] 2 [978152212116:226719310561022:18191447] 75582l2 [1,-1,0,-369693558,-2623267060700] 4 [215592:99583406:1] 75582l3 [1,-1,0,-1014377418,9012889801984] 2 [26958:1108148:1] 75582l4 [1,-1,0,-5847210018,-172094339823224] 2 [50220397383:21940782652997:226981]
75582m (4 curves)	1	2+ 3- 13- 17+ 19+	2+ 3- -2 -4  4 13- 17+ 19+
Curve Equation t Generators 75582m1 [1,-1,0,-1181583,-381617379] 2 [-390:4641:1] 75582m2 [1,-1,0,-6322563,5796812385] 4 [1092:13377:1] 75582m3 [1,-1,0,4765527,23952450951] 2 [29523:5074095:1] 75582m4 [1,-1,0,-99666333,382998986955] 2 [5785:-390:1]
75582n (1 curve)	1	2+ 3- 13- 17+ 19+	2+ 3-  4 -1  1 13- 17+ 19+
Curve Equation t Generators 75582n1 [1,-1,0,3105,46413] 1 [99:1098:1]
75582o (6 curves)	0	2+ 3- 13- 17+ 19-	2+ 3-  2  0  4 13- 17+ 19-
Curve Equation t 75582o1 [1,-1,0,32589,-1292171] 2 75582o2 [1,-1,0,-151731,-10987403] 4 75582o3 [1,-1,0,-1191411,493257397] 4 75582o4 [1,-1,0,-2061171,-1137938891] 2 75582o5 [1,-1,0,-35451,1408546525] 2 75582o6 [1,-1,0,-18982251,31837159309] 2
75582p (1 curve)	2	2+ 3- 13- 17- 19+	2+ 3- -1 -3  0 13- 17- 19+
Curve Equation t Generators 75582p1 [1,-1,0,-15615,758349] 1 [-15:-987:1]&[-66:1257:1]
75582q (4 curves)	1	2+ 3- 13- 17- 19-	2+ 3-  0  2  6 13- 17- 19-
Curve Equation t Generators 75582q1 [1,-1,0,4563,-264411] 2 [106:1131:1] 75582q2 [1,-1,0,-44397,-3113883] 2 [-126:747:1] 75582q3 [1,-1,0,-42237,8333685] 6 [33082:761865:343] 75582q4 [1,-1,0,-926577,343144809] 6 [700:5747:1]
75582r (1 curve)	1	2+ 3- 13- 17- 19-	2+ 3- -4 -1  3 13- 17- 19-
Curve Equation t Generators 75582r1 [1,-1,0,1300401,1739748559] 1 [-745:19268:1]
75582s (1 curve)	1	2- 3+ 13+ 17- 19+	2- 3+ -3  1 -6 13+ 17- 19+
Curve Equation t Generators 75582s1 [1,-1,1,8341,-14641] 1 [3:100:1]
75582t (1 curve)	1	2- 3+ 13- 17+ 19+	2- 3+  2  0  5 13- 17+ 19+
Curve Equation t Generators 75582t1 [1,-1,1,-27164,2322271] 1 [13:1397:1]
75582u (1 curve)	1	2- 3+ 13- 17+ 19+	2- 3+  3 -3  2 13- 17+ 19+
Curve Equation t Generators 75582u1 [1,-1,1,19,136789] 1 [31:-424:1]
75582v (1 curve)	0	2- 3+ 13- 17- 19+	2- 3+ -1  1  6 13- 17- 19+
Curve Equation t 75582v1 [1,-1,1,-308,-2005] 1
75582w (2 curves)	1	2- 3- 13+ 17+ 19+	2- 3-  2  2 -6 13+ 17+ 19+
Curve Equation t Generators 75582w1 [1,-1,1,-151349,22636221] 2 [213:62:1] 75582w2 [1,-1,1,-86369,42156213] 2 [6711:545894:1]
75582x (2 curves)	0	2- 3- 13+ 17+ 19-	2- 3-  0  2 -2 13+ 17+ 19-
Curve Equation t 75582x1 [1,-1,1,-2452325,1476178701] 2 75582x2 [1,-1,1,-3297065,370920885] 2
75582y (1 curve)	0	2- 3- 13+ 17+ 19-	2- 3-  1 -5  0 13+ 17+ 19-
Curve Equation t 75582y1 [1,-1,1,57793,-14558677] 1
75582z (2 curves)	0	2- 3- 13+ 17+ 19-	2- 3- -2 -2  0 13+ 17+ 19-
Curve Equation t 75582z1 [1,-1,1,-2390081,-1421593455] 2 75582z2 [1,-1,1,-2301161,-1532316639] 2
75582ba (2 curves)	0	2- 3- 13+ 17+ 19-	2- 3-  4 -2  6 13+ 17+ 19-
Curve Equation t 75582ba1 [1,-1,1,-227588,-40297561] 2 75582ba2 [1,-1,1,-3606548,-2635338841] 2
75582bb (1 curve)	0	2- 3- 13+ 17+ 19-	2- 3-  4  4  3 13+ 17+ 19-
Curve Equation t 75582bb1 [1,-1,1,112,-1101] 1
75582bc (2 curves)	0	2- 3- 13+ 17- 19+	2- 3-  0 -2  0 13+ 17- 19+
Curve Equation t 75582bc1 [1,-1,1,-193710650,1037751532373] 2 75582bc2 [1,-1,1,-188219840,1099345242629] 2
75582bd (2 curves)	0	2- 3- 13+ 17- 19+	2- 3-  0 -2  6 13+ 17- 19+
Curve Equation t 75582bd1 [1,-1,1,-770,-9727] 2 75582bd2 [1,-1,1,-13010,-567871] 2
75582be (2 curves)	0	2- 3- 13+ 17- 19+	2- 3-  2  2  6 13+ 17- 19+
Curve Equation t 75582be1 [1,-1,1,-825674,-259482999] 2 75582be2 [1,-1,1,-3137594,1861934793] 2
75582bf (1 curve)	0	2- 3- 13+ 17- 19+	2- 3-  3 -1  4 13+ 17- 19+
Curve Equation t 75582bf1 [1,-1,1,-941,-30247] 1
75582bg (2 curves)	0	2- 3- 13+ 17- 19+	2- 3-  4  4  4 13+ 17- 19+
Curve Equation t 75582bg1 [1,-1,1,-34454633,-59966559831] 2 75582bg2 [1,-1,1,-515333993,-4502330087511] 2
75582bh (2 curves)	0	2- 3- 13+ 17- 19+	2- 3-  4 -4  0 13+ 17- 19+
Curve Equation t 75582bh1 [1,-1,1,-5288,39899] 2 75582bh2 [1,-1,1,-49748,-4228261] 2
75582bi (2 curves)	1	2- 3- 13+ 17- 19-	2- 3-  0  0 -4 13+ 17- 19-
Curve Equation t Generators 75582bi1 [1,-1,1,-500945,136567473] 2 [399:104:1] 75582bi2 [1,-1,1,-8014685,8735291529] 2 [24094:860967:8]
75582bj (1 curve)	1	2- 3- 13+ 17- 19-	2- 3-  0  3  5 13+ 17- 19-
Curve Equation t Generators 75582bj1 [1,-1,1,-31145,-32289015] 1 [2081:93360:1]
75582bk (2 curves)	0	2- 3- 13- 17+ 19+	2- 3-  0  0  2 13- 17+ 19+
Curve Equation t 75582bk1 [1,-1,1,-425,-1979] 2 75582bk2 [1,-1,1,1285,-14975] 2
75582bl (2 curves)	0	2- 3- 13- 17+ 19+	2- 3-  0  4 -2 13- 17+ 19+
Curve Equation t 75582bl1 [1,-1,1,-278809520,1787487729171] 2 75582bl2 [1,-1,1,-166742960,3237897975315] 2
75582bm (2 curves)	0	2- 3- 13- 17+ 19+	2- 3-  0  4  4 13- 17+ 19+
Curve Equation t 75582bm1 [1,-1,1,-995,-10605] 2 75582bm2 [1,-1,1,1345,-54597] 2
75582bn (4 curves)	1	2- 3- 13- 17+ 19-	2- 3-  0  2  0 13- 17+ 19-
Curve Equation t Generators 75582bn1 [1,-1,1,-196835,29479295] 2 [-3882:27929:8] 75582bn2 [1,-1,1,-814145,-252754837] 2 [-5098:23673:8] 75582bn3 [1,-1,1,-15385910,23232973061] 6 [-25098:1624841:8] 75582bn4 [1,-1,1,-15392750,23211287525] 6 [-2952992938:-188200094839:941192]
75582bo (2 curves)	1	2- 3- 13- 17+ 19-	2- 3-  0 -2  4 13- 17+ 19-
Curve Equation t Generators 75582bo1 [1,-1,1,-117275,-15189429] 2 [-213:410:1] 75582bo2 [1,-1,1,-1868315,-982463925] 2 [-789:410:1]
75582bp (2 curves)	1	2- 3- 13- 17- 19+	2- 3-  2 -2  0 13- 17- 19+
Curve Equation t Generators 75582bp1 [1,-1,1,-2399,-15289] 2 [-27:184:1] 75582bp2 [1,-1,1,-21119,1175303] 2 [129:700:1]
75582bq (1 curve)	0	2- 3- 13- 17- 19-	2- 3-  0  0  1 13- 17- 19-
Curve Equation t 75582bq1 [1,-1,1,-1244525,-534670455] 1
75582br (2 curves)	0	2- 3- 13- 17- 19-	2- 3-  0  5  3 13- 17- 19-
Curve Equation t 75582br1 [1,-1,1,-287510,-59265331] 1 75582br2 [1,-1,1,-226085,-85329187] 3

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