Cremona's table of elliptic curves

117624 = 2³ · 3 · 13² · 29

Class	r	Atkin-Lehner	Eigenvalues
117624a (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+  0 -5 -1 13+ -3  0
Curve Equation t Generators 117624a1 [0,-1,0,25632,3327804] 1 [650:17152:1]
117624b (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+ -1  3  2 13+  5 -5
Curve Equation t Generators 117624b1 [0,-1,0,-1000536,385719372] 1 [4284443:13844818:6859]
117624c (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+  2  0  1 13+ -3 -4
Curve Equation t Generators 117624c1 [0,-1,0,-732,52077] 1 [113:1183:1]
117624d (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+  2  1  3 13+  5  0
Curve Equation t Generators 117624d1 [0,-1,0,-732,-204972] 1 [2141:99034:1]
117624e (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+ -4 -3  0 13+  0  0
Curve Equation t Generators 117624e1 [0,-1,0,-547785,156548781] 1 [113:9802:1]
117624f (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+ -4 -3 -1 13+ -1  4
Curve Equation t Generators 117624f1 [0,-1,0,-6140,-215619] 1 [142:1325:1]
117624g (1 curve)	2	2+ 3+ 13+ 29-	2+ 3+ -1 -4 -4 13+  6 -2
Curve Equation t Generators 117624g1 [0,-1,0,-121,-131] 1 [-7:18:1]&[-5:18:1]
117624h (1 curve)	0	2+ 3+ 13+ 29-	2+ 3+  2  2  5 13+  3 -2
Curve Equation t 117624h1 [0,-1,0,-213672,-46666452] 1
117624i (1 curve)	0	2+ 3+ 13+ 29-	2+ 3+  2 -3  5 13+ -7 -2
Curve Equation t 117624i1 [0,-1,0,9408,-3071043] 1
117624j (1 curve)	2	2+ 3+ 13+ 29-	2+ 3+ -2 -4 -1 13+  3  6
Curve Equation t Generators 117624j1 [0,-1,0,271696,117213693] 1 [282:14703:1]&[2254:110345:1]
117624k (1 curve)	2	2+ 3- 13+ 29+	2+ 3-  0  0 -3 13+ -5 -4
Curve Equation t Generators 117624k1 [0,1,0,-108,729] 1 [-12:21:1]&[0:27:1]
117624l (1 curve)	0	2+ 3- 13+ 29+	2+ 3-  0 -1  1 13+ -3 -6
Curve Equation t 117624l1 [0,1,0,-108,-480] 1
117624m (1 curve)	0	2+ 3- 13+ 29+	2+ 3-  2  1  3 13+  3  6
Curve Equation t 117624m1 [0,1,0,-732,13833] 1
117624n (1 curve)	0	2+ 3- 13+ 29+	2+ 3-  2 -1  1 13+  5 -4
Curve Equation t 117624n1 [0,1,0,-732,-7968] 1
117624o (2 curves)	0	2+ 3- 13+ 29+	2+ 3-  2  4  6 13+ -6  6
Curve Equation t 117624o1 [0,1,0,-1314707,-564717750] 2 117624o2 [0,1,0,-3171172,1383085328] 2
117624p (1 curve)	0	2+ 3- 13+ 29+	2+ 3- -2 -2  5 13+  3  2
Curve Equation t 117624p1 [0,1,0,102696,5986800] 1
117624q (1 curve)	0	2+ 3- 13+ 29+	2+ 3- -3 -1 -2 13+  3 -3
Curve Equation t 117624q1 [0,1,0,-64952,6376176] 1
117624r (1 curve)	0	2+ 3- 13+ 29+	2+ 3-  4  3 -3 13+  5 -2
Curve Equation t 117624r1 [0,1,0,9044,-565408] 1
117624s (2 curves)	1	2+ 3- 13+ 29-	2+ 3-  0 -4  0 13+  2 -6
Curve Equation t Generators 117624s1 [0,1,0,1972,202944] 2 [1248:44136:1] 117624s2 [0,1,0,-41968,3120560] 2 [92:216:1]
117624t (4 curves)	1	2+ 3- 13+ 29-	2+ 3-  2  0  0 13+  2  0
Curve Equation t Generators 117624t1 [0,1,0,-141847,20221670] 2 [9026:856830:1] 117624t2 [0,1,0,-284652,-27475200] 4 [72234:6852105:8] 117624t3 [0,1,0,989608,-204852192] 4 [10720732834:1023240224565:1191016] 117624t4 [0,1,0,-3843792,-2900413008] 2 [2604:68952:1]
117624u (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -2  1  5 13+ -3 -4
Curve Equation t Generators 117624u1 [0,1,0,256,-16080] 1 [124:1392:1]
117624v (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -2  3  3 13+ -1  4
Curve Equation t Generators 117624v1 [0,1,0,-375964,88604192] 1 [359:174:1]
117624w (1 curve)	1	2+ 3- 13+ 29-	2+ 3-  3  0 -6 13+  8  6
Curve Equation t Generators 117624w1 [0,1,0,-2929,2003] 1 [-49:174:1]
117624x (1 curve)	1	2+ 3- 13+ 29-	2+ 3-  3 -4  0 13+  2  6
Curve Equation t Generators 117624x1 [0,1,0,-9672329,11575073979] 1 [1795:18:1]
117624y (1 curve)	1	2+ 3- 13+ 29-	2+ 3-  4  0  3 13+ -7 -2
Curve Equation t Generators 117624y1 [0,1,0,675944,-475786063] 1 [863:27405:1]
117624z (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -4  3  0 13+  2  6
Curve Equation t Generators 117624z1 [0,1,0,-9520,-759511] 1 [14805204132:631388734579:8120601]
117624ba (2 curves)	0	2+ 3- 13- 29-	2+ 3-  0 -2  2 13- -2  2
Curve Equation t 117624ba1 [0,1,0,-1149763,-223172806] 2 117624ba2 [0,1,0,-9157828,10510837520] 2
117624bb (1 curve)	0	2- 3+ 13+ 29+	2- 3+  0  1  3 13+ -1  0
Curve Equation t 117624bb1 [0,-1,0,-14928,707121] 1
117624bc (1 curve)	0	2- 3+ 13+ 29+	2- 3+  0  4 -3 13+ -1 -6
Curve Equation t 117624bc1 [0,-1,0,-101469008,418447243980] 1
117624bd (2 curves)	0	2- 3+ 13+ 29+	2- 3+  0 -4 -2 13+ -6  0
Curve Equation t 117624bd1 [0,-1,0,-20774043,-36431582292] 2 117624bd2 [0,-1,0,-18642108,-44205470076] 2
117624be (1 curve)	0	2- 3+ 13+ 29+	2- 3+  0  5  1 13+ -3  0
Curve Equation t 117624be1 [0,-1,0,152,1468] 1
117624bf (1 curve)	2	2- 3+ 13+ 29+	2- 3+ -2  0 -1 13+ -3  4
Curve Equation t Generators 117624bf1 [0,-1,0,-4,25] 1 [-3:1:1]&[0:5:1]
117624bg (2 curves)	2	2- 3+ 13+ 29+	2- 3+ -2  0  2 13+ -6 -2
Curve Equation t Generators 117624bg1 [0,-1,0,-133059,-18635436] 2 [425:1183:1]&[464:4394:1] 117624bg2 [0,-1,0,-144044,-15366300] 2 [802:-19604:1]&[-300:870:1]
117624bh (1 curve)	2	2- 3+ 13+ 29+	2- 3+ -2 -1 -3 13+  5  0
Curve Equation t Generators 117624bh1 [0,-1,0,-4,-92] 1 [6:8:1]&[8:18:1]
117624bi (2 curves)	2	2- 3+ 13+ 29+	2- 3+ -2 -4 -6 13+  2  6
Curve Equation t Generators 117624bi1 [0,-1,0,-133059,18379620] 2 [-339:4941:1]&[-212:6084:1] 117624bi2 [0,-1,0,-2117964,1187091684] 2 [104280:39546:125]&[480:16758:1]
117624bj (1 curve)	0	2- 3+ 13+ 29+	2- 3+  4  3  0 13+  0  0
Curve Equation t 117624bj1 [0,-1,0,-3241,72253] 1
117624bk (1 curve)	1	2- 3+ 13+ 29-	2- 3+  1  4  4 13+  6  2
Curve Equation t Generators 117624bk1 [0,-1,0,-20505,-369747] 1 [-246:3843:8]
117624bl (1 curve)	1	2- 3+ 13+ 29-	2- 3+  2  4  1 13+  3 -6
Curve Equation t Generators 117624bl1 [0,-1,0,1608,52857] 1 [-7:203:1]
117624bm (4 curves)	1	2- 3+ 13+ 29-	2- 3+  2  4  4 13+ -6 -4
Curve Equation t Generators 117624bm1 [0,-1,0,-53967,-2896128] 4 [24293:3786107:1] 117624bm2 [0,-1,0,-764612,-257022780] 4 [1931933670:300947960040:79507] 117624bm3 [0,-1,0,-666592,-325440740] 2 [53177825670146030:782369516891400957:48507321023000] 117624bm4 [0,-1,0,-12232952,-16464080868] 2 [665339093063610:-102788616725644641:27270901000]
117624bn (1 curve)	1	2- 3+ 13+ 29-	2- 3+ -4  4  1 13+ -3 -6
Curve Equation t Generators 117624bn1 [0,-1,0,-117680,15585036] 1 [-251:5408:1]
117624bo (1 curve)	1	2- 3- 13+ 29+	2- 3-  0  0  3 13+ -5  4
Curve Equation t Generators 117624bo1 [0,1,0,-18308,1674765] 1 [-113:1521:1]
117624bp (1 curve)	1	2- 3- 13+ 29+	2- 3-  0  1 -1 13+ -3  6
Curve Equation t Generators 117624bp1 [0,1,0,-18308,-981408] 1 [6582:81458:27]
117624bq (2 curves)	1	2- 3- 13+ 29+	2- 3-  0 -4 -4 13+ -2  2
Curve Equation t Generators 117624bq1 [0,1,0,-118863,15639066] 2 [-321:4563:1] 117624bq2 [0,1,0,-45348,34841184] 2 [-292:4824:1]
117624br (1 curve)	1	2- 3- 13+ 29+	2- 3-  1 -2 -4 13+ -1  4
Curve Equation t Generators 117624br1 [0,1,0,-40785,3509091] 1 [69:-1014:1]
117624bs (1 curve)	1	2- 3- 13+ 29+	2- 3- -2  1 -1 13+  5  4
Curve Equation t Generators 117624bs1 [0,1,0,-123764,-17010720] 1 [1383788382:18259687198:2803221]
117624bt (2 curves)	1	2- 3- 13+ 29+	2- 3- -2  4  2 13+  2 -2
Curve Equation t Generators 117624bt1 [0,1,0,-21048499,-37170998578] 2 [-568146:314171:216] 117624bt2 [0,1,0,-23033404,-29741896144] 2 [61975:15381366:1]
117624bu (1 curve)	1	2- 3- 13+ 29+	2- 3-  3 -1  2 13+  7 -7
Curve Equation t Generators 117624bu1 [0,1,0,1296,-40416] 1 [720992525:7887759984:6539203]
117624bv (1 curve)	1	2- 3- 13+ 29+	2- 3- -4 -3  3 13+  5  2
Curve Equation t Generators 117624bv1 [0,1,0,1528380,-1248314976] 1 [1746:-82134:1]
117624bw (2 curves)	0	2- 3- 13+ 29-	2- 3-  0  0  0 13+  2 -6
Curve Equation t 117624bw1 [0,1,0,250196332,129238429152] 2 117624bw2 [0,1,0,-1004774008,1034825026496] 2
117624bx (1 curve)	0	2- 3- 13+ 29-	2- 3-  0  5  5 13+ -3  4
Curve Equation t 117624bx1 [0,1,0,1972,11805] 1
117624by (1 curve)	0	2- 3- 13+ 29-	2- 3-  2 -1 -5 13+ -3  4
Curve Equation t 117624by1 [0,1,0,43208,-35500672] 1
117624bz (1 curve)	2	2- 3- 13+ 29-	2- 3-  2 -3 -3 13+ -1 -4
Curve Equation t Generators 117624bz1 [0,1,0,-63537972,194917561632] 1 [-8901:235248:1]&[3134:163038:1]
117624ca (1 curve)	0	2- 3- 13+ 29-	2- 3- -3  0  6 13+  8 -6
Curve Equation t 117624ca1 [0,1,0,-495057,6380739] 1
117624cb (1 curve)	0	2- 3- 13+ 29-	2- 3- -3  4  0 13+  2 -6
Curve Equation t 117624cb1 [0,1,0,-1634623657,25436976026411] 1
117624cc (1 curve)	0	2- 3- 13+ 29-	2- 3-  4 -3  0 13+  2 -6
Curve Equation t 117624cc1 [0,1,0,-56,-363] 1
117624cd (1 curve)	2	2- 3- 13+ 29-	2- 3- -4  0 -3 13+ -7  2
Curve Equation t Generators 117624cd1 [0,1,0,4000,-215331] 1 [43:195:1]&[46:261:1]
117624ce (2 curves)	1	2- 3- 13- 29-	2- 3-  0  2 -2 13- -2 -2
Curve Equation t Generators 117624ce1 [0,1,0,-6803,-103674] 2 [-65:261:1] 117624ce2 [0,1,0,-54188,4767504] 2 [-230:2262:1]

Data from Elliptic Curve Data by J. E. Cremona.
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