Cremona's table of elliptic curves

74400 = 2⁵ · 3 · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
74400a (4 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  0 -4 -2 -6  0
Curve Equation t Generators 74400a1 [0,-1,0,-6758,184512] 4 [-88:300:1] 74400a2 [0,-1,0,11992,1009512] 2 [3781:232562:1] 74400a3 [0,-1,0,-30008,-1814988] 2 [-119:238:1] 74400a4 [0,-1,0,-103633,12875137] 2 [207:500:1]
74400b (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  2 -6  4  5  4
Curve Equation t Generators 74400b1 [0,-1,0,-170833,27349537] 1 [888:23981:1]
74400c (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  3 -1  1  0  6
Curve Equation t Generators 74400c1 [0,-1,0,-1048,-14648] 1 [593959:5023782:6859]
74400d (4 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -4  4  2 -2  8
Curve Equation t Generators 74400d1 [0,-1,0,-7758,-259488] 4 [18702:2557500:1] 74400d2 [0,-1,0,-4008,-514488] 2 [2337745:-319688182:125] 74400d3 [0,-1,0,-11633,31137] 2 [232:3125:1] 74400d4 [0,-1,0,-124008,-16766988] 2 [149626:-20458625:8]
74400e (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  5 -3 -2 -4 -5
Curve Equation t Generators 74400e1 [0,-1,0,-408,-4188] 1 [152:1850:1]
74400f (2 curves)	2	2+ 3+ 5+ 31-	2+ 3+ 5+  0  0 -2  0 -8
Curve Equation t Generators 74400f1 [0,-1,0,-45758,111795012] 2 [-288:10050:1]&[262:10850:1] 74400f2 [0,-1,0,-3769633,2789261137] 2 [-1403:72900:1]&[541:30132:1]
74400g (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  0  3  4  3  1
Curve Equation t 74400g1 [0,-1,0,-195773,33387477] 1
74400h (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  0  3  4 -5  1
Curve Equation t 74400h1 [0,-1,0,-993028333,-12044218847963] 1
74400i (4 curves)	2	2+ 3+ 5+ 31-	2+ 3+ 5+  0 -4 -2 -2  0
Curve Equation t Generators 74400i1 [0,-1,0,-41758,1304512] 4 [-213:700:1]&[-137:2106:1] 74400i2 [0,-1,0,151992,9829512] 2 [7946:270075:8]&[4647:173006:27] 74400i3 [0,-1,0,-355633,-80616863] 2 [-353:900:1]&[6847:564300:1] 74400i4 [0,-1,0,-548008,156217012] 2 [-524:17298:1]&[313:3906:1]
74400j (1 curve)	2	2+ 3+ 5+ 31-	2+ 3+ 5+  0 -4  4 -5 -6
Curve Equation t Generators 74400j1 [0,-1,0,-33,177] 1 [-7:4:1]&[1:12:1]
74400k (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  1 -5 -2 -4  1
Curve Equation t 74400k1 [0,-1,0,-1503408,-709097688] 1
74400l (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+ -2  1  1 -7 -5
Curve Equation t 74400l1 [0,-1,0,192,-888] 1
74400m (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+ -2  4  4  8  4
Curve Equation t 74400m1 [0,-1,0,-37758,-2810988] 2 74400m2 [0,-1,0,-41633,-2194863] 2
74400n (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  3 -3 -2  0  7
Curve Equation t 74400n1 [0,-1,0,453992,-283696988] 1
74400o (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  5  3 -1  0  6
Curve Equation t 74400o1 [0,-1,0,24792,911412] 1
74400p (2 curves)	0	2+ 3+ 5- 31+	2+ 3+ 5-  0  2 -4  2  4
Curve Equation t 74400p1 [0,-1,0,-2458,55912] 2 74400p2 [0,-1,0,-41208,3233412] 2
74400q (1 curve)	0	2+ 3+ 5- 31+	2+ 3+ 5-  0 -3 -4 -3 -1
Curve Equation t 74400q1 [0,-1,0,-4894333,-4163645963] 1
74400r (1 curve)	0	2+ 3+ 5- 31+	2+ 3+ 5- -1 -3 -1  2  0
Curve Equation t 74400r1 [0,-1,0,-808,-8588] 1
74400s (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5-  0  1  0  3  5
Curve Equation t Generators 74400s1 [0,-1,0,-333,837] 1 [-17:36:1]
74400t (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  0 -2  4 -2 -4
Curve Equation t Generators 74400t1 [0,-1,0,-98,-408] 2 [102:1020:1] 74400t2 [0,-1,0,-1648,-25208] 2 [2847:26486:27]
74400u (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  2  0  6 -4  0
Curve Equation t Generators 74400u1 [0,-1,0,-1398,20592] 2 [31:78:1] 74400u2 [0,-1,0,-1448,19092] 2 [-12:186:1]
74400v (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5-  2  6 -4 -5 -4
Curve Equation t Generators 74400v1 [0,-1,0,-6833,-216063] 1 [247:3620:1]
74400w (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5- -5  1 -1  0  4
Curve Equation t Generators 74400w1 [0,-1,0,24792,-8156088] 1 [51549450:1060911513:125000]
74400x (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  0 -3  4 -5 -1
Curve Equation t 74400x1 [0,1,0,-993028333,12044218847963] 1
74400y (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  0  4 -2 -2  0
Curve Equation t 74400y1 [0,1,0,-41758,-1304512] 4 74400y2 [0,1,0,151992,-9829512] 2 74400y3 [0,1,0,-355633,80616863] 2 74400y4 [0,1,0,-548008,-156217012] 2
74400z (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  0  4  4 -5  6
Curve Equation t 74400z1 [0,1,0,-33,-177] 1
74400ba (2 curves)	2	2+ 3- 5+ 31+	2+ 3- 5+ -4  0 -6 -4  0
Curve Equation t Generators 74400ba1 [0,1,0,642,4788] 2 [2:78:1]&[18:150:1] 74400ba2 [0,1,0,-3233,39663] 2 [103:-900:1]&[-47:300:1]
74400bb (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+ -5 -3 -1  0 -6
Curve Equation t 74400bb1 [0,1,0,24792,-911412] 1
74400bc (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0  4 -2 -6  0
Curve Equation t Generators 74400bc1 [0,1,0,-6758,-184512] 4 [47523:1992122:27] 74400bc2 [0,1,0,11992,-1009512] 2 [7038:590550:1] 74400bc3 [0,1,0,-30008,1814988] 2 [579050691:-24204201274:328509] 74400bc4 [0,1,0,-103633,-12875137] 2 [418:4125:1]
74400bd (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+  2 -1 -1 -3  1
Curve Equation t Generators 74400bd1 [0,1,0,-50408,4475688] 1 [34:1674:1]
74400be (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -2 -2  0  7 -8
Curve Equation t Generators 74400be1 [0,1,0,1007,6623] 1 [2:93:1]
74400bf (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -3  1  1  0 -6
Curve Equation t Generators 74400bf1 [0,1,0,-1048,14648] 1 [14:-54:1]
74400bg (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  4 -4  2 -2 -8
Curve Equation t Generators 74400bg1 [0,1,0,-7758,259488] 4 [874:6825:8] 74400bg2 [0,1,0,-4008,514488] 2 [182:2418:1] 74400bg3 [0,1,0,-11633,-31137] 2 [-62:675:1] 74400bg4 [0,1,0,-124008,16766988] 2 [3854578:7182525:17576]
74400bh (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  0 -1  0  3 -5
Curve Equation t Generators 74400bh1 [0,1,0,-333,-837] 1 [-3:12:1]
74400bi (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  1 -5  4 -4  5
Curve Equation t Generators 74400bi1 [0,1,0,-97208,-11697912] 1 [14635588218:1055685781250:2803221]
74400bj (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5- -2  0  6 -4  0
Curve Equation t Generators 74400bj1 [0,1,0,-1398,-20592] 2 [138:1560:1] 74400bj2 [0,1,0,-1448,-19092] 2 [-17:30:1]
74400bk (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -2  2  0 -7  8
Curve Equation t Generators 74400bk1 [0,1,0,25167,-777537] 1 [33:300:1]
74400bl (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  4 -2  4  2 -4
Curve Equation t Generators 74400bl1 [0,1,0,302,608] 2 [8:60:1] 74400bl2 [0,1,0,-1248,3708] 2 [39:126:1]
74400bm (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  5 -1 -1  0 -4
Curve Equation t Generators 74400bm1 [0,1,0,24792,8156088] 1 [-138:1458:1]
74400bn (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5-  1  3 -1  2  0
Curve Equation t 74400bn1 [0,1,0,-808,8588] 1
74400bo (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5-  1  5 -4  4 -5
Curve Equation t 74400bo1 [0,1,0,-3888,92028] 1
74400bp (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5-  4  2 -4 -2  4
Curve Equation t 74400bp1 [0,1,0,7542,-60912] 2 74400bp2 [0,1,0,-31208,-525912] 2
74400bq (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+  0 -1  0 -3 -5
Curve Equation t 74400bq1 [0,-1,0,-8333,-87963] 1
74400br (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  0  2  6  0  4
Curve Equation t 74400br1 [0,-1,0,136242,-11716488] 2 74400br2 [0,-1,0,-645008,-100778988] 2
74400bs (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+  2  2  0  7  8
Curve Equation t 74400bs1 [0,-1,0,1007,-6623] 1
74400bt (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+ -2  1 -1 -3 -1
Curve Equation t 74400bt1 [0,-1,0,-50408,-4475688] 1
74400bu (2 curves)	2	2- 3+ 5+ 31+	2- 3+ 5+ -2 -4  4 -6 -4
Curve Equation t Generators 74400bu1 [0,-1,0,242,5512] 2 [12:100:1]&[68:576:1] 74400bu2 [0,-1,0,-3633,79137] 2 [-48:375:1]&[-27:396:1]
74400bv (1 curve)	2	2- 3+ 5+ 31+	2- 3+ 5+ -5 -1  1  0 -4
Curve Equation t Generators 74400bv1 [0,-1,0,992,64852] 1 [74:2187:8]&[36:382:1]
74400bw (1 curve)	1	2- 3+ 5+ 31-	2- 3+ 5+ -1  3  1 -2  0
Curve Equation t Generators 74400bw1 [0,-1,0,-20208,1113912] 1 [93:174:1]
74400bx (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  4  0 -6 -4  0
Curve Equation t Generators 74400bx1 [0,-1,0,642,-4788] 2 [503:11284:1] 74400bx2 [0,-1,0,-3233,-39663] 2 [67:200:1]
74400by (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  0 -3 -4  5 -1
Curve Equation t Generators 74400by1 [0,-1,0,-39721133,96369639237] 1 [3627:1260:1]
74400bz (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  0  4 -4  5  6
Curve Equation t Generators 74400bz1 [0,-1,0,-833,-20463] 1 [8495:60232:125]
74400ca (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5- -1 -5 -4  4  5
Curve Equation t Generators 74400ca1 [0,-1,0,-3888,-92028] 1 [112:930:1]
74400cb (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5-  2  0 -6  4  0
Curve Equation t Generators 74400cb1 [0,-1,0,-34958,-2504088] 2 [-25686197620:-1500408757:238328000] 74400cb2 [0,-1,0,-36208,-2314088] 2 [-80910:281573:1000]
74400cc (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5- -4 -2 -4 -2 -4
Curve Equation t Generators 74400cc1 [0,-1,0,7542,60912] 2 [23:496:1] 74400cc2 [0,-1,0,-31208,525912] 2 [273:3504:1]
74400cd (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  5 -3  1  0 -6
Curve Equation t Generators 74400cd1 [0,-1,0,992,-7688] 1 [313:5556:1]
74400ce (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5- -1  5  4 -4 -5
Curve Equation t 74400ce1 [0,-1,0,-97208,11697912] 1
74400cf (1 curve)	2	2- 3+ 5- 31-	2- 3+ 5-  2 -2  0 -7 -8
Curve Equation t Generators 74400cf1 [0,-1,0,25167,777537] 1 [17:1100:1]&[167:-3100:1]
74400cg (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5-  3  1 -1  0 -6
Curve Equation t 74400cg1 [0,-1,0,-26208,1883412] 1
74400ch (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5- -4  2  4  2  4
Curve Equation t 74400ch1 [0,-1,0,302,-608] 2 74400ch2 [0,-1,0,-1248,-3708] 2
74400ci (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0  0 -2  0  8
Curve Equation t Generators 74400ci1 [0,1,0,-45758,-111795012] 2 [85732:3023925:64] 74400ci2 [0,1,0,-3769633,-2789261137] 2 [5453:372600:1]
74400cj (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  0 -3  4  3 -1
Curve Equation t Generators 74400cj1 [0,1,0,-195773,-33387477] 1 [-251:36:1]
74400ck (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  1 -3  1 -2  0
Curve Equation t Generators 74400ck1 [0,1,0,-20208,-1113912] 1 [343602:10764522:343]
74400cl (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -1  5 -2 -4 -1
Curve Equation t Generators 74400cl1 [0,1,0,-1503408,709097688] 1 [618:4050:1]
74400cm (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  2 -1  1 -7  5
Curve Equation t Generators 74400cm1 [0,1,0,192,888] 1 [122:1362:1]
74400cn (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  2 -4  4  8 -4
Curve Equation t Generators 74400cn1 [0,1,0,-37758,2810988] 2 [68:750:1] 74400cn2 [0,1,0,-41633,2194863] 2 [178:675:1]
74400co (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -3  3 -2  0 -7
Curve Equation t Generators 74400co1 [0,1,0,453992,283696988] 1 [143:18750:1]
74400cp (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  0  1  0 -3  5
Curve Equation t 74400cp1 [0,1,0,-8333,87963] 1
74400cq (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0 -2  6  0 -4
Curve Equation t 74400cq1 [0,1,0,136242,11716488] 2 74400cq2 [0,1,0,-645008,100778988] 2
74400cr (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  2  4  4 -6  4
Curve Equation t 74400cr1 [0,1,0,242,-5512] 2 74400cr2 [0,1,0,-3633,-79137] 2
74400cs (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+ -2  6  4  5 -4
Curve Equation t 74400cs1 [0,1,0,-170833,-27349537] 1
74400ct (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  5  1  1  0  4
Curve Equation t 74400ct1 [0,1,0,992,-64852] 1
74400cu (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+ -5  3 -2 -4  5
Curve Equation t 74400cu1 [0,1,0,-408,4188] 1
74400cv (2 curves)	0	2- 3- 5- 31+	2- 3- 5-  0  2  4 -2  4
Curve Equation t 74400cv1 [0,1,0,-98,408] 2 74400cv2 [0,1,0,-1648,25208] 2
74400cw (1 curve)	2	2- 3- 5- 31+	2- 3- 5- -2 -6 -4 -5  4
Curve Equation t Generators 74400cw1 [0,1,0,-6833,216063] 1 [43:60:1]&[-47:660:1]
74400cx (1 curve)	0	2- 3- 5- 31+	2- 3- 5- -3 -1 -1  0  6
Curve Equation t 74400cx1 [0,1,0,-26208,-1883412] 1
74400cy (2 curves)	1	2- 3- 5- 31-	2- 3- 5-  0 -2 -4  2 -4
Curve Equation t Generators 74400cy1 [0,1,0,-2458,-55912] 2 [33698588:266922000:357911] 74400cy2 [0,1,0,-41208,-3233412] 2 [2173429274391:-25897439191384:7044762213]
74400cz (1 curve)	1	2- 3- 5- 31-	2- 3- 5-  0  3 -4 -3  1
Curve Equation t Generators 74400cz1 [0,1,0,-4894333,4163645963] 1 [1217:3348:1]
74400da (1 curve)	1	2- 3- 5- 31-	2- 3- 5-  0  3 -4  5  1
Curve Equation t Generators 74400da1 [0,1,0,-39721133,-96369639237] 1 [-4843597:180:1331]
74400db (1 curve)	1	2- 3- 5- 31-	2- 3- 5-  0 -4 -4  5 -6
Curve Equation t Generators 74400db1 [0,1,0,-833,20463] 1 [-6:159:1]
74400dc (2 curves)	1	2- 3- 5- 31-	2- 3- 5- -2  0 -6  4  0
Curve Equation t Generators 74400dc1 [0,1,0,-34958,2504088] 2 [109:24:1] 74400dc2 [0,1,0,-36208,2314088] 2 [62:558:1]
74400dd (1 curve)	1	2- 3- 5- 31-	2- 3- 5- -5  3  1  0  6
Curve Equation t Generators 74400dd1 [0,1,0,992,7688] 1 [62:558:1]

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