Cremona's table of elliptic curves

58176 = 2⁶ · 3² · 101

Class	r	Atkin-Lehner	Eigenvalues
58176a (1 curve)	1	2+ 3+ 101+	2+ 3+ -1 -2  4  2 -6  8
Curve Equation t Generators 58176a1 [0,0,0,-108,-3664] 1 [70:576:1]
58176b (2 curves)	1	2+ 3+ 101+	2+ 3+ -2 -2 -4 -6 -4 -4
Curve Equation t Generators 58176b1 [0,0,0,2484,50544] 2 [36:432:1] 58176b2 [0,0,0,-14796,486000] 2 [-18:864:1]
58176c (2 curves)	1	2+ 3+ 101+	2+ 3+  3  2  0 -2 -6  4
Curve Equation t Generators 58176c1 [0,0,0,-37836,3191408] 1 [292:4128:1] 58176c2 [0,0,0,253044,-11378448] 1 [235532892:8710769376:1685159]
58176d (1 curve)	0	2+ 3+ 101-	2+ 3+  1 -2 -4  2  6  8
Curve Equation t 58176d1 [0,0,0,-972,98928] 1
58176e (2 curves)	0	2+ 3+ 101-	2+ 3+  2 -2  4 -6  4 -4
Curve Equation t 58176e1 [0,0,0,276,-1872] 2 58176e2 [0,0,0,-1644,-18000] 2
58176f (2 curves)	0	2+ 3+ 101-	2+ 3+ -3  2  0 -2  6  4
Curve Equation t 58176f1 [0,0,0,28116,421424] 1 58176f2 [0,0,0,-340524,-86168016] 1
58176g (1 curve)	2	2+ 3- 101+	2+ 3-  0 -1  2 -2 -3 -7
Curve Equation t Generators 58176g1 [0,0,0,-19020,1010032] 1 [78:-32:1]&[14:864:1]
58176h (1 curve)	0	2+ 3- 101+	2+ 3-  1  4 -4 -1  3 -5
Curve Equation t 58176h1 [0,0,0,-1002,11878] 1
58176i (1 curve)	0	2+ 3- 101+	2+ 3-  1 -4  4 -1  3  5
Curve Equation t 58176i1 [0,0,0,-1002,-11878] 1
58176j (1 curve)	2	2+ 3- 101+	2+ 3- -1 -2 -2 -1 -3  5
Curve Equation t Generators 58176j1 [0,0,0,-48,74] 1 [-1:11:1]&[7:9:1]
58176k (4 curves)	0	2+ 3- 101+	2+ 3-  2  4  4  2  6 -4
Curve Equation t 58176k1 [0,0,0,20436,1917488] 2 58176k2 [0,0,0,-163884,21013040] 4 58176k3 [0,0,0,-785964,-248969680] 2 58176k4 [0,0,0,-2490924,1513111088] 2
58176l (1 curve)	0	2+ 3- 101+	2+ 3-  2  5  4 -4  3  1
Curve Equation t 58176l1 [0,0,0,-1433964,1699784048] 1
58176m (1 curve)	0	2+ 3- 101+	2+ 3-  2 -5 -4 -4  3 -1
Curve Equation t 58176m1 [0,0,0,-1433964,-1699784048] 1
58176n (1 curve)	2	2+ 3- 101+	2+ 3- -2 -1  0 -4 -5 -5
Curve Equation t Generators 58176n1 [0,0,0,-396,5616] 1 [-24:36:1]&[-2:80:1]
58176o (2 curves)	0	2+ 3- 101+	2+ 3- -2  2 -2  2 -6 -4
Curve Equation t 58176o1 [0,0,0,-291,2180] 2 58176o2 [0,0,0,-4836,129440] 2
58176p (2 curves)	0	2+ 3- 101+	2+ 3- -2 -2  2  2 -6  4
Curve Equation t 58176p1 [0,0,0,-291,-2180] 2 58176p2 [0,0,0,-4836,-129440] 2
58176q (1 curve)	0	2+ 3- 101+	2+ 3-  3  2  2  4  6 -4
Curve Equation t 58176q1 [0,0,0,-756876,895979248] 1
58176r (1 curve)	0	2+ 3- 101+	2+ 3-  3  2 -2  3 -3 -5
Curve Equation t 58176r1 [0,0,0,-4656,122272] 1
58176s (2 curves)	0	2+ 3- 101+	2+ 3-  3  2 -6 -5 -3 -5
Curve Equation t 58176s1 [0,0,0,-2496,-47968] 1 58176s2 [0,0,0,-8256,234272] 1
58176t (1 curve)	0	2+ 3- 101+	2+ 3-  4  3 -2  2  1  1
Curve Equation t 58176t1 [0,0,0,-43788,-3806480] 1
58176u (1 curve)	2	2+ 3- 101+	2+ 3- -4 -5 -2  2 -3  5
Curve Equation t Generators 58176u1 [0,0,0,-69132,-8100880] 1 [328:2124:1]&[382:4608:1]
58176v (1 curve)	1	2+ 3- 101-	2+ 3-  0 -3 -2  6  1  5
Curve Equation t Generators 58176v1 [0,0,0,2580,-25936] 1 [13:99:1]
58176w (1 curve)	1	2+ 3- 101-	2+ 3-  0 -3  6 -2  5 -7
Curve Equation t Generators 58176w1 [0,0,0,14100,950704] 1 [53:1359:1]
58176x (1 curve)	1	2+ 3- 101-	2+ 3-  1  0 -2 -1  7 -5
Curve Equation t Generators 58176x1 [0,0,0,-388272,-93120608] 1 [-2475301:8181:6859]
58176y (2 curves)	1	2+ 3- 101-	2+ 3-  1 -2  2 -4  2  0
Curve Equation t Generators 58176y1 [0,0,0,-51852,-4582672] 1 [2644:135432:1] 58176y2 [0,0,0,345588,147585008] 1 [-236:7272:1]
58176z (1 curve)	1	2+ 3- 101-	2+ 3-  1  4  2 -1 -1  3
Curve Equation t Generators 58176z1 [0,0,0,-5952,176672] 1 [-23:549:1]
58176ba (1 curve)	1	2+ 3- 101-	2+ 3- -1 -2 -2  3  1 -1
Curve Equation t Generators 58176ba1 [0,0,0,-288,-864] 1 [-15:9:1]
58176bb (1 curve)	1	2+ 3- 101-	2+ 3- -1 -2 -6 -1  5 -7
Curve Equation t Generators 58176bb1 [0,0,0,-228,-934] 1 [-5:9:1]
58176bc (1 curve)	1	2+ 3- 101-	2+ 3- -1 -2 -6 -5 -7  3
Curve Equation t Generators 58176bc1 [0,0,0,-10128,-368224] 1 [-47:63:1]
58176bd (1 curve)	1	2+ 3- 101-	2+ 3-  2  1  4  0 -5 -1
Curve Equation t Generators 58176bd1 [0,0,0,2196,2419632] 1 [621:15597:1]
58176be (1 curve)	1	2+ 3- 101-	2+ 3-  2  1 -4 -4  7  3
Curve Equation t Generators 58176be1 [0,0,0,-1164,26192] 1 [16:108:1]
58176bf (1 curve)	1	2+ 3- 101-	2+ 3-  2 -1  4 -4  7 -3
Curve Equation t Generators 58176bf1 [0,0,0,-1164,-26192] 1 [389:7641:1]
58176bg (1 curve)	1	2+ 3- 101-	2+ 3-  3  2  0 -1 -3 -7
Curve Equation t Generators 58176bg1 [0,0,0,-66,178] 1 [17:63:1]
58176bh (1 curve)	1	2+ 3- 101-	2+ 3-  3  2  2  3 -3 -5
Curve Equation t Generators 58176bh1 [0,0,0,-2816976,1819796128] 1 [219805997:6146703:226981]
58176bi (1 curve)	1	2+ 3- 101-	2+ 3-  3 -2  0 -1 -3  7
Curve Equation t Generators 58176bi1 [0,0,0,-66,-178] 1 [-46:27:8]
58176bj (1 curve)	1	2+ 3- 101-	2+ 3- -3  0 -2  3  7  5
Curve Equation t Generators 58176bj1 [0,0,0,-7104,30674] 1 [-49:511:1]
58176bk (1 curve)	1	2+ 3- 101-	2+ 3- -3  2  2  0 -6  4
Curve Equation t Generators 58176bk1 [0,0,0,276,24496] 1 [-10:144:1]
58176bl (1 curve)	1	2+ 3- 101-	2+ 3- -3 -4 -2  7  3  3
Curve Equation t Generators 58176bl1 [0,0,0,-624,-3296] 1 [-7:27:1]
58176bm (1 curve)	2	2- 3+ 101+	2- 3+ -1  2 -4  2 -6 -8
Curve Equation t Generators 58176bm1 [0,0,0,-108,3664] 1 [-16:36:1]&[-6:64:1]
58176bn (2 curves)	0	2- 3+ 101+	2- 3+ -2  2  4 -6 -4  4
Curve Equation t 58176bn1 [0,0,0,2484,-50544] 2 58176bn2 [0,0,0,-14796,-486000] 2
58176bo (2 curves)	0	2- 3+ 101+	2- 3+  3 -2  0 -2 -6 -4
Curve Equation t 58176bo1 [0,0,0,-37836,-3191408] 1 58176bo2 [0,0,0,253044,11378448] 1
58176bp (1 curve)	1	2- 3+ 101-	2- 3+  1  2  4  2  6 -8
Curve Equation t Generators 58176bp1 [0,0,0,-972,-98928] 1 [6945:17037:125]
58176bq (2 curves)	1	2- 3+ 101-	2- 3+  2  2 -4 -6  4  4
Curve Equation t Generators 58176bq1 [0,0,0,276,1872] 2 [144:1740:1] 58176bq2 [0,0,0,-1644,18000] 2 [-38:160:1]
58176br (2 curves)	1	2- 3+ 101-	2- 3+ -3 -2  0 -2  6 -4
Curve Equation t Generators 58176br1 [0,0,0,28116,-421424] 1 [1614:32768:27] 58176br2 [0,0,0,-340524,86168016] 1 [970:25856:1]
58176bs (1 curve)	1	2- 3- 101+	2- 3-  0  1 -2 -2 -3  7
Curve Equation t Generators 58176bs1 [0,0,0,-19020,-1010032] 1 [56308:185256:343]
58176bt (1 curve)	1	2- 3- 101+	2- 3- -1  2  2 -1 -3 -5
Curve Equation t Generators 58176bt1 [0,0,0,-48,-74] 1 [11:27:1]
58176bu (4 curves)	1	2- 3- 101+	2- 3-  2 -4 -4  2  6  4
Curve Equation t Generators 58176bu1 [0,0,0,20436,-1917488] 2 [20080:293436:125] 58176bu2 [0,0,0,-163884,-21013040] 4 [-367431990:-3053473280:2146689] 58176bu3 [0,0,0,-785964,248969680] 2 [5646:261440:27] 58176bu4 [0,0,0,-2490924,-1513111088] 2 [-5717979511880493:-1569115555974485:6277363000623]
58176bv (1 curve)	1	2- 3- 101+	2- 3- -2  1  0 -4 -5  5
Curve Equation t Generators 58176bv1 [0,0,0,-396,-5616] 1 [60:432:1]
58176bw (1 curve)	1	2- 3- 101+	2- 3-  3 -2  2  3 -3  5
Curve Equation t Generators 58176bw1 [0,0,0,-4656,-122272] 1 [-315820:26073:8000]
58176bx (1 curve)	1	2- 3- 101+	2- 3-  3 -2 -2  4  6  4
Curve Equation t Generators 58176bx1 [0,0,0,-756876,-895979248] 1 [94515722161:3185052691203:51895117]
58176by (2 curves)	1	2- 3- 101+	2- 3-  3 -2  6 -5 -3  5
Curve Equation t Generators 58176by1 [0,0,0,-2496,47968] 1 [226:9:8] 58176by2 [0,0,0,-8256,-234272] 1 [-33190:56421:1000]
58176bz (1 curve)	1	2- 3- 101+	2- 3- -3  0  4  3  3 -1
Curve Equation t Generators 58176bz1 [0,0,0,-174,-826] 1 [-7:7:1]
58176ca (1 curve)	1	2- 3- 101+	2- 3- -3  0 -4  3  3  1
Curve Equation t Generators 58176ca1 [0,0,0,-174,826] 1 [5:9:1]
58176cb (1 curve)	1	2- 3- 101+	2- 3-  4 -3  2  2  1 -1
Curve Equation t Generators 58176cb1 [0,0,0,-43788,3806480] 1 [460:9000:1]
58176cc (1 curve)	1	2- 3- 101+	2- 3- -4  5  2  2 -3 -5
Curve Equation t Generators 58176cc1 [0,0,0,-69132,8100880] 1 [140:1080:1]
58176cd (1 curve)	0	2- 3- 101-	2- 3-  0  3  2  6  1 -5
Curve Equation t 58176cd1 [0,0,0,2580,25936] 1
58176ce (1 curve)	0	2- 3- 101-	2- 3-  0  3 -6 -2  5  7
Curve Equation t 58176ce1 [0,0,0,14100,-950704] 1
58176cf (1 curve)	0	2- 3- 101-	2- 3-  1  0  2 -1  7  5
Curve Equation t 58176cf1 [0,0,0,-388272,93120608] 1
58176cg (2 curves)	0	2- 3- 101-	2- 3-  1  2 -2 -4  2  0
Curve Equation t 58176cg1 [0,0,0,-51852,4582672] 1 58176cg2 [0,0,0,345588,-147585008] 1
58176ch (1 curve)	0	2- 3- 101-	2- 3-  1 -4 -2 -1 -1 -3
Curve Equation t 58176ch1 [0,0,0,-5952,-176672] 1
58176ci (1 curve)	0	2- 3- 101-	2- 3- -1  2  2  3  1  1
Curve Equation t 58176ci1 [0,0,0,-288,864] 1
58176cj (1 curve)	0	2- 3- 101-	2- 3- -1  2  6 -1  5  7
Curve Equation t 58176cj1 [0,0,0,-228,934] 1
58176ck (1 curve)	0	2- 3- 101-	2- 3- -1  2  6 -5 -7 -3
Curve Equation t 58176ck1 [0,0,0,-10128,368224] 1
58176cl (1 curve)	0	2- 3- 101-	2- 3-  2 -1 -4  0 -5  1
Curve Equation t 58176cl1 [0,0,0,2196,-2419632] 1
58176cm (1 curve)	0	2- 3- 101-	2- 3-  3 -2 -2  3 -3  5
Curve Equation t 58176cm1 [0,0,0,-2816976,-1819796128] 1
58176cn (1 curve)	0	2- 3- 101-	2- 3- -3  0  2  3  7 -5
Curve Equation t 58176cn1 [0,0,0,-7104,-30674] 1
58176co (1 curve)	0	2- 3- 101-	2- 3- -3  2  2 -4  6  0
Curve Equation t 58176co1 [0,0,0,-1164,-15824] 1
58176cp (1 curve)	2	2- 3- 101-	2- 3- -3 -2 -2  0 -6 -4
Curve Equation t Generators 58176cp1 [0,0,0,276,-24496] 1 [26:16:1]&[58:-432:1]
58176cq (1 curve)	2	2- 3- 101-	2- 3- -3 -2 -2 -4  6  0
Curve Equation t Generators 58176cq1 [0,0,0,-1164,15824] 1 [10:-72:1]&[-35:117:1]
58176cr (1 curve)	0	2- 3- 101-	2- 3- -3  4  2  7  3 -3
Curve Equation t 58176cr1 [0,0,0,-624,3296] 1

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