Cremona's table of elliptic curves

9408 = 2⁶ · 3 · 7²

Class	r	Atkin-Lehner	Eigenvalues
9408a (1 curve)	1	2+ 3+ 7+	2+ 3+  0 7+ -2 -1 -2  5
Curve Equation t Generators 9408a1 [0,-1,0,-1143,46089] 1 [-16:245:1]
9408b (1 curve)	1	2+ 3+ 7+	2+ 3+  1 7+ -3 -4  0  4
Curve Equation t Generators 9408b1 [0,-1,0,7775,-598751] 1 [105:1168:1]
9408c (2 curves)	1	2+ 3+ 7+	2+ 3+  2 7+  2 -1  0 -1
Curve Equation t Generators 9408c1 [0,-1,0,-457,4243] 1 [6:41:1] 9408c2 [0,-1,0,-178817,-29068437] 1 [100675986628443349909778:895583787779459530675783:191549927665097849303]
9408d (2 curves)	1	2+ 3+ 7+	2+ 3+ -3 7+ -3  4  0  4
Curve Equation t Generators 9408d1 [0,-1,0,1503,-27999] 1 [89:896:1] 9408d2 [0,-1,0,-45537,-3744159] 1 [329:4096:1]
9408e (2 curves)	0	2+ 3+ 7-	2+ 3+  0 7-  0 -4  4  4
Curve Equation t 9408e1 [0,-1,0,2287,-110319] 2 9408e2 [0,-1,0,-25153,-1356095] 2
9408f (1 curve)	0	2+ 3+ 7-	2+ 3+  0 7-  2  1  2  5
Curve Equation t 9408f1 [0,-1,0,-23,141] 1
9408g (2 curves)	0	2+ 3+ 7-	2+ 3+  0 7-  2 -2 -4 -4
Curve Equation t 9408g1 [0,-1,0,-408,-2862] 2 9408g2 [0,-1,0,327,-12711] 2
9408h (2 curves)	0	2+ 3+ 7-	2+ 3+  1 7- -5  0  4  8
Curve Equation t 9408h1 [0,-1,0,-65,-447] 1 9408h2 [0,-1,0,-9025,345409] 1
9408i (4 curves)	0	2+ 3+ 7-	2+ 3+  2 7-  0  6  2  4
Curve Equation t 9408i1 [0,-1,0,-1437,-135603] 2 9408i2 [0,-1,0,-49457,-4198095] 4 9408i3 [0,-1,0,-790337,-270174015] 2 9408i4 [0,-1,0,-76897,1010017] 2
9408j (2 curves)	0	2+ 3+ 7-	2+ 3+  2 7-  2  0 -2  0
Curve Equation t 9408j1 [0,-1,0,-72,162] 2 9408j2 [0,-1,0,-1017,12825] 2
9408k (4 curves)	0	2+ 3+ 7-	2+ 3+  2 7-  4 -2  6  4
Curve Equation t 9408k1 [0,-1,0,-212,-1098] 2 9408k2 [0,-1,0,-457,2185] 4 9408k3 [0,-1,0,-6337,196225] 2 9408k4 [0,-1,0,1503,14337] 2
9408l (1 curve)	0	2+ 3+ 7-	2+ 3+  2 7-  6 -3 -4 -5
Curve Equation t 9408l1 [0,-1,0,-37,253] 1
9408m (2 curves)	0	2+ 3+ 7-	2+ 3+ -2 7- -2  0  2  0
Curve Equation t 9408m1 [0,-1,0,-3544,48490] 2 9408m2 [0,-1,0,-49849,4299289] 2
9408n (1 curve)	0	2+ 3+ 7-	2+ 3+ -2 7- -2 -3 -8 -1
Curve Equation t 9408n1 [0,-1,0,25611,330093] 1
9408o (2 curves)	0	2+ 3+ 7-	2+ 3+ -2 7- -2  4  6 -8
Curve Equation t 9408o1 [0,-1,0,-1829,25509] 2 9408o2 [0,-1,0,-8689,-285935] 2
9408p (6 curves)	0	2+ 3+ 7-	2+ 3+ -2 7-  4  6 -2 -4
Curve Equation t 9408p1 [0,-1,0,-12609,-1199295] 2 9408p2 [0,-1,0,-263489,-51927231] 4 9408p3 [0,-1,0,-4214849,-3329185215] 2 9408p4 [0,-1,0,-326209,-25271231] 4 9408p5 [0,-1,0,-2866369,1850890945] 2 9408p6 [0,-1,0,1210431,-196452927] 2
9408q (6 curves)	2	2+ 3+ 7-	2+ 3+ -2 7- -4 -2 -2 -4
Curve Equation t Generators 9408q1 [0,-1,0,131,-755] 2 [12:49:1]&[21:104:1] 9408q2 [0,-1,0,-849,-6831] 4 [-21:36:1]&[-16:49:1] 9408q3 [0,-1,0,-12609,-540735] 2 [-64:1:1]&[335:5720:1] 9408q4 [0,-1,0,-4769,122529] 4 [-65:392:1]&[-16:441:1] 9408q5 [0,-1,0,-75329,7982913] 2 [-289:2352:1]&[33:2352:1] 9408q6 [0,-1,0,3071,478465] 2 [-63:176:1]&[16:729:1]
9408r (2 curves)	0	2+ 3+ 7-	2+ 3+  4 7- -2 -6  4 -4
Curve Equation t 9408r1 [0,-1,0,-261,6693] 2 9408r2 [0,-1,0,-7121,233073] 2
9408s (2 curves)	0	2+ 3+ 7-	2+ 3+  4 7-  4  4  0  4
Curve Equation t 9408s1 [0,-1,0,159,16353] 2 9408s2 [0,-1,0,-8801,312033] 2
9408t (2 curves)	0	2+ 3+ 7-	2+ 3+ -4 7- -2 -2  0  4
Curve Equation t 9408t1 [0,-1,0,-18440,765066] 2 9408t2 [0,-1,0,41095,4634841] 2
9408u (1 curve)	0	2+ 3- 7+	2+ 3-  0 7+  2 -1 -2 -5
Curve Equation t 9408u1 [0,1,0,-1143,-46089] 1
9408v (2 curves)	0	2+ 3- 7+	2+ 3- -1 7+ -5  0 -4 -8
Curve Equation t 9408v1 [0,1,0,-3201,159711] 1 9408v2 [0,1,0,-442241,-117590817] 1
9408w (1 curve)	0	2+ 3- 7+	2+ 3-  2 7+ -2  3  8  1
Curve Equation t 9408w1 [0,1,0,523,-813] 1
9408x (1 curve)	0	2+ 3- 7+	2+ 3- -2 7+  6  3  4  5
Curve Equation t 9408x1 [0,1,0,-1829,-83133] 1
9408y (2 curves)	1	2+ 3- 7-	2+ 3-  0 7-  0  4 -4 -4
Curve Equation t Generators 9408y1 [0,1,0,47,335] 2 [2:21:1] 9408y2 [0,1,0,-513,3807] 2 [3:48:1]
9408z (1 curve)	1	2+ 3- 7-	2+ 3-  0 7- -2  1  2 -5
Curve Equation t Generators 9408z1 [0,1,0,-23,-141] 1 [10:27:1]
9408ba (2 curves)	1	2+ 3- 7-	2+ 3-  0 7- -2 -2 -4  4
Curve Equation t Generators 9408ba1 [0,1,0,-408,2862] 2 [93:882:1] 9408ba2 [0,1,0,327,12711] 2 [730:7203:8]
9408bb (4 curves)	1	2+ 3- 7-	2+ 3-  0 7-  6  2  0 -4
Curve Equation t Generators 9408bb1 [0,1,0,1307,6635] 2 [107:1176:1] 9408bb2 [0,1,0,-5553,49167] 2 [-54:441:1] 9408bb3 [0,1,0,-22213,1304939] 2 [3729:25480:27] 9408bb4 [0,1,0,-358353,82449135] 2 [170:5145:1]
9408bc (1 curve)	1	2+ 3- 7-	2+ 3- -1 7- -3  4  0 -4
Curve Equation t Generators 9408bc1 [0,1,0,159,1791] 1 [3:48:1]
9408bd (4 curves)	1	2+ 3- 7-	2+ 3-  2 7-  0 -2 -6 -4
Curve Equation t Generators 9408bd1 [0,1,0,-1437,20355] 2 [86:735:1] 9408bd2 [0,1,0,-2417,-11985] 4 [195:2640:1] 9408bd3 [0,1,0,-29857,-1993153] 2 [-101:48:1] 9408bd4 [0,1,0,9343,-84897] 2 [22905:349404:125]
9408be (2 curves)	1	2+ 3- 7-	2+ 3-  2 7- -2  0 -2  0
Curve Equation t Generators 9408be1 [0,1,0,-72,-162] 2 [-3:6:1] 9408be2 [0,1,0,-1017,-12825] 2 [93:840:1]
9408bf (2 curves)	1	2+ 3- 7-	2+ 3-  2 7- -2 -4 -6  8
Curve Equation t Generators 9408bf1 [0,1,0,-37,-85] 2 [-22:15:8] 9408bf2 [0,1,0,-177,783] 2 [-3:36:1]
9408bg (4 curves)	1	2+ 3- 7-	2+ 3-  2 7- -4 -2  6 -4
Curve Equation t Generators 9408bg1 [0,1,0,-212,1098] 2 [1305:1434:125] 9408bg2 [0,1,0,-457,-2185] 4 [31:120:1] 9408bg3 [0,1,0,-6337,-196225] 2 [178:2085:1] 9408bg4 [0,1,0,1503,-14337] 2 [27:216:1]
9408bh (2 curves)	1	2+ 3- 7-	2+ 3- -2 7-  2  0  2  0
Curve Equation t Generators 9408bh1 [0,1,0,-3544,-48490] 2 [-43:162:1] 9408bh2 [0,1,0,-49849,-4299289] 2 [-1030:267:8]
9408bi (2 curves)	1	2+ 3- 7-	2+ 3- -2 7-  2  1  0  1
Curve Equation t Generators 9408bi1 [0,1,0,-9,-15] 1 [32:183:1] 9408bi2 [0,1,0,-3649,83705] 1 [32:27:1]
9408bj (6 curves)	1	2+ 3- 7-	2+ 3- -2 7- -4 -2  6  4
Curve Equation t Generators 9408bj1 [0,1,0,3071,15455] 2 [2:147:1] 9408bj2 [0,1,0,-12609,112671] 4 [-19:588:1] 9408bj3 [0,1,0,-122369,-16417185] 2 [-197:288:1] 9408bj4 [0,1,0,-153729,23115231] 4 [269:1140:1] 9408bj5 [0,1,0,-2458689,1483076895] 2 [3319710:14032963:3375] 9408bj6 [0,1,0,-106689,37575327] 2 [10105:678756:125]
9408bk (2 curves)	1	2+ 3- 7-	2+ 3-  3 7- -3 -4  0 -4
Curve Equation t Generators 9408bk1 [0,1,0,73631,9456383] 1 [-109:384:1] 9408bk2 [0,1,0,-2231329,1288709183] 1 [-205705:2813952:125]
9408bl (2 curves)	1	2+ 3- 7-	2+ 3- -4 7-  2 -2  0 -4
Curve Equation t Generators 9408bl1 [0,1,0,-18440,-765066] 2 [709:18522:1] 9408bl2 [0,1,0,41095,-4634841] 2 [205:3528:1]
9408bm (2 curves)	1	2+ 3- 7-	2+ 3- -4 7-  4 -4  0 -4
Curve Equation t Generators 9408bm1 [0,1,0,7775,-5624641] 2 [419:8448:1] 9408bm2 [0,1,0,-431265,-106164801] 2 [-381:1728:1]
9408bn (1 curve)	0	2- 3+ 7+	2- 3+  0 7+ -2 -5 -2 -3
Curve Equation t 9408bn1 [0,-1,0,-163,-755] 1
9408bo (1 curve)	0	2- 3+ 7+	2- 3+ -1 7+  1  0 -8 -4
Curve Equation t 9408bo1 [0,-1,0,12479,45697] 1
9408bp (2 curves)	0	2- 3+ 7+	2- 3+ -1 7+  5  0 -4  8
Curve Equation t 9408bp1 [0,-1,0,-3201,-159711] 1 9408bp2 [0,-1,0,-442241,117590817] 1
9408bq (1 curve)	0	2- 3+ 7+	2- 3+  2 7+  2  3  8 -1
Curve Equation t 9408bq1 [0,-1,0,523,813] 1
9408br (1 curve)	0	2- 3+ 7+	2- 3+ -2 7+ -6  3  4 -5
Curve Equation t 9408br1 [0,-1,0,-1829,83133] 1
9408bs (1 curve)	0	2- 3+ 7+	2- 3+ -3 7+  1  4  4  0
Curve Equation t 9408bs1 [0,-1,0,-14177,663489] 1
9408bt (1 curve)	0	2- 3+ 7+	2- 3+  4 7+  6 -5  2  1
Curve Equation t 9408bt1 [0,-1,0,229,813] 1
9408bu (2 curves)	1	2- 3+ 7-	2- 3+  0 7-  0  4 -4  4
Curve Equation t Generators 9408bu1 [0,-1,0,47,-335] 2 [13:48:1] 9408bu2 [0,-1,0,-513,-3807] 2 [-16:7:1]
9408bv (1 curve)	1	2- 3+ 7-	2- 3+  0 7-  2  5  2 -3
Curve Equation t Generators 9408bv1 [0,-1,0,-8003,-274959] 1 [974115800:5008894367:8365427]
9408bw (4 curves)	1	2- 3+ 7-	2- 3+  0 7- -6  2  0  4
Curve Equation t Generators 9408bw1 [0,-1,0,1307,-6635] 2 [9:76:1] 9408bw2 [0,-1,0,-5553,-49167] 2 [-63:216:1] 9408bw3 [0,-1,0,-22213,-1304939] 2 [65805:1439516:125] 9408bw4 [0,-1,0,-358353,-82449135] 2 [2105:92120:1]
9408bx (1 curve)	1	2- 3+ 7-	2- 3+  1 7- -1  0  8 -4
Curve Equation t Generators 9408bx1 [0,-1,0,611455,16896993] 1 [9903:460088:27]
9408by (1 curve)	1	2- 3+ 7-	2- 3+ -1 7-  3  4  0  4
Curve Equation t Generators 9408by1 [0,-1,0,159,-1791] 1 [13:48:1]
9408bz (4 curves)	1	2- 3+ 7-	2- 3+  2 7-  0  2 -2  4
Curve Equation t Generators 9408bz1 [0,-1,0,-4132,-100862] 2 [1563:61720:1] 9408bz2 [0,-1,0,-4377,-87975] 4 [77:160:1] 9408bz3 [0,-1,0,-22017,1185633] 2 [-9:1176:1] 9408bz4 [0,-1,0,9343,-540735] 2 [145:1960:1]
9408ca (4 curves)	1	2- 3+ 7-	2- 3+  2 7-  0 -2 -6  4
Curve Equation t Generators 9408ca1 [0,-1,0,-1437,-20355] 2 [-1372:755:64] 9408ca2 [0,-1,0,-2417,11985] 4 [-1:120:1] 9408ca3 [0,-1,0,-29857,1993153] 2 [-149:1764:1] 9408ca4 [0,-1,0,9343,84897] 2 [391:7960:1]
9408cb (2 curves)	1	2- 3+ 7-	2- 3+  2 7-  2 -4 -6 -8
Curve Equation t Generators 9408cb1 [0,-1,0,-37,85] 2 [9:20:1] 9408cb2 [0,-1,0,-177,-783] 2 [-7:8:1]
9408cc (2 curves)	1	2- 3+ 7-	2- 3+ -2 7- -2  1  0 -1
Curve Equation t Generators 9408cc1 [0,-1,0,-9,15] 1 [2:1:1] 9408cc2 [0,-1,0,-3649,-83705] 1 [156546:250333:2197]
9408cd (6 curves)	1	2- 3+ 7-	2- 3+ -2 7-  4 -2  6 -4
Curve Equation t Generators 9408cd1 [0,-1,0,3071,-15455] 2 [37:384:1] 9408cd2 [0,-1,0,-12609,-112671] 4 [135:792:1] 9408cd3 [0,-1,0,-153729,-23115231] 4 [1703:68200:1] 9408cd4 [0,-1,0,-122369,16417185] 2 [-352:3969:1] 9408cd5 [0,-1,0,-2458689,-1483076895] 2 [32371775:751228456:15625] 9408cd6 [0,-1,0,-106689,-37575327] 2 [50588249:2036920600:29791]
9408ce (4 curves)	1	2- 3+ 7-	2- 3+ -2 7- -4 -6  2 -4
Curve Equation t Generators 9408ce1 [0,-1,0,-604,4978] 2 [-9:98:1] 9408ce2 [0,-1,0,-2809,-51911] 4 [-35:48:1] 9408ce3 [0,-1,0,-43969,-3534047] 2 [663:16072:1] 9408ce4 [0,-1,0,3071,-245951] 2 [63:440:1]
9408cf (1 curve)	1	2- 3+ 7-	2- 3+  3 7- -1 -4 -4  0
Curve Equation t Generators 9408cf1 [0,-1,0,-289,2017] 1 [9:8:1]
9408cg (2 curves)	1	2- 3+ 7-	2- 3+  3 7-  3 -4  0  4
Curve Equation t Generators 9408cg1 [0,-1,0,73631,-9456383] 1 [27903:923264:27] 9408cg2 [0,-1,0,-2231329,-1288709183] 1 [34545781254615:-6776521404416:20012875875]
9408ch (2 curves)	1	2- 3+ 7-	2- 3+ -4 7- -4 -4  0  4
Curve Equation t Generators 9408ch1 [0,-1,0,7775,5624641] 2 [-35:2304:1] 9408ch2 [0,-1,0,-431265,106164801] 2 [-16:10633:1]
9408ci (1 curve)	1	2- 3+ 7-	2- 3+ -4 7- -6  5 -2  1
Curve Equation t Generators 9408ci1 [0,-1,0,5,1] 1 [0:1:1]
9408cj (1 curve)	1	2- 3- 7+	2- 3-  0 7+  2 -5 -2  3
Curve Equation t Generators 9408cj1 [0,1,0,-163,755] 1 [2:21:1]
9408ck (1 curve)	1	2- 3- 7+	2- 3-  1 7+  3 -4  0 -4
Curve Equation t Generators 9408ck1 [0,1,0,7775,598751] 1 [359:7056:1]
9408cl (1 curve)	1	2- 3- 7+	2- 3- -1 7+ -1  0 -8  4
Curve Equation t Generators 9408cl1 [0,1,0,12479,-45697] 1 [23:504:1]
9408cm (2 curves)	1	2- 3- 7+	2- 3-  2 7+ -2 -1  0  1
Curve Equation t Generators 9408cm1 [0,1,0,-457,-4243] 1 [604:14847:1] 9408cm2 [0,1,0,-178817,29068437] 1 [604:11907:1]
9408cn (1 curve)	1	2- 3- 7+	2- 3- -3 7+ -1  4  4  0
Curve Equation t Generators 9408cn1 [0,1,0,-14177,-663489] 1 [163:1176:1]
9408co (2 curves)	1	2- 3- 7+	2- 3- -3 7+  3  4  0 -4
Curve Equation t Generators 9408co1 [0,1,0,1503,27999] 1 [39:384:1] 9408co2 [0,1,0,-45537,3744159] 1 [3405:4096:27]
9408cp (1 curve)	1	2- 3- 7+	2- 3-  4 7+ -6 -5  2 -1
Curve Equation t Generators 9408cp1 [0,1,0,229,-813] 1 [7014:38865:343]
9408cq (2 curves)	0	2- 3- 7-	2- 3-  0 7-  0 -4  4 -4
Curve Equation t 9408cq1 [0,1,0,2287,110319] 2 9408cq2 [0,1,0,-25153,1356095] 2
9408cr (1 curve)	0	2- 3- 7-	2- 3-  0 7- -2  5  2  3
Curve Equation t 9408cr1 [0,1,0,-8003,274959] 1
9408cs (1 curve)	0	2- 3- 7-	2- 3-  1 7-  1  0  8  4
Curve Equation t 9408cs1 [0,1,0,611455,-16896993] 1
9408ct (2 curves)	0	2- 3- 7-	2- 3-  1 7-  5  0  4 -8
Curve Equation t 9408ct1 [0,1,0,-65,447] 1 9408ct2 [0,1,0,-9025,-345409] 1
9408cu (4 curves)	0	2- 3- 7-	2- 3-  2 7-  0  2 -2 -4
Curve Equation t 9408cu1 [0,1,0,-4132,100862] 2 9408cu2 [0,1,0,-4377,87975] 4 9408cu3 [0,1,0,-22017,-1185633] 2 9408cu4 [0,1,0,9343,540735] 2
9408cv (4 curves)	0	2- 3- 7-	2- 3-  2 7-  0  6  2 -4
Curve Equation t 9408cv1 [0,1,0,-1437,135603] 2 9408cv2 [0,1,0,-49457,4198095] 4 9408cv3 [0,1,0,-76897,-1010017] 2 9408cv4 [0,1,0,-790337,270174015] 2
9408cw (1 curve)	0	2- 3- 7-	2- 3-  2 7- -6 -3 -4  5
Curve Equation t 9408cw1 [0,1,0,-37,-253] 1
9408cx (1 curve)	0	2- 3- 7-	2- 3- -2 7-  2 -3 -8  1
Curve Equation t 9408cx1 [0,1,0,25611,-330093] 1
9408cy (2 curves)	0	2- 3- 7-	2- 3- -2 7-  2  4  6  8
Curve Equation t 9408cy1 [0,1,0,-1829,-25509] 2 9408cy2 [0,1,0,-8689,285935] 2
9408cz (6 curves)	0	2- 3- 7-	2- 3- -2 7-  4 -2 -2  4
Curve Equation t 9408cz1 [0,1,0,131,755] 2 9408cz2 [0,1,0,-849,6831] 4 9408cz3 [0,1,0,-4769,-122529] 4 9408cz4 [0,1,0,-12609,540735] 2 9408cz5 [0,1,0,-75329,-7982913] 2 9408cz6 [0,1,0,3071,-478465] 2
9408da (4 curves)	0	2- 3- 7-	2- 3- -2 7-  4 -6  2  4
Curve Equation t 9408da1 [0,1,0,-604,-4978] 2 9408da2 [0,1,0,-2809,51911] 4 9408da3 [0,1,0,-43969,3534047] 2 9408da4 [0,1,0,3071,245951] 2
9408db (6 curves)	0	2- 3- 7-	2- 3- -2 7- -4  6 -2  4
Curve Equation t 9408db1 [0,1,0,-12609,1199295] 2 9408db2 [0,1,0,-263489,51927231] 4 9408db3 [0,1,0,-326209,25271231] 4 9408db4 [0,1,0,-4214849,3329185215] 2 9408db5 [0,1,0,-2866369,-1850890945] 2 9408db6 [0,1,0,1210431,196452927] 2
9408dc (1 curve)	0	2- 3- 7-	2- 3-  3 7-  1 -4 -4  0
Curve Equation t 9408dc1 [0,1,0,-289,-2017] 1
9408dd (2 curves)	0	2- 3- 7-	2- 3-  4 7-  2 -6  4  4
Curve Equation t 9408dd1 [0,1,0,-261,-6693] 2 9408dd2 [0,1,0,-7121,-233073] 2
9408de (2 curves)	0	2- 3- 7-	2- 3-  4 7- -4  4  0 -4
Curve Equation t 9408de1 [0,1,0,159,-16353] 2 9408de2 [0,1,0,-8801,-312033] 2
9408df (1 curve)	0	2- 3- 7-	2- 3- -4 7-  6  5 -2 -1
Curve Equation t 9408df1 [0,1,0,5,-1] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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