Cremona's table of elliptic curves

38592 = 2⁶ · 3² · 67

Class	r	Atkin-Lehner	Eigenvalues
38592a (2 curves)	1	2+ 3+ 67+	2+ 3+  2  2  0  4 -4 -4
Curve Equation t Generators 38592a1 [0,0,0,-2484,-47520] 2 [9480:55944:125] 38592a2 [0,0,0,-3564,-2160] 2 [-38:280:1]
38592b (2 curves)	1	2+ 3+ 67+	2+ 3+  2  4 -4 -2  0 -4
Curve Equation t Generators 38592b1 [0,0,0,-204,-400] 2 [52:360:1] 38592b2 [0,0,0,756,-3088] 2 [1308:10360:27]
38592c (2 curves)	1	2+ 3+ 67+	2+ 3+ -2  2  0  4  4 -4
Curve Equation t Generators 38592c1 [0,0,0,-276,1760] 2 [-2:48:1] 38592c2 [0,0,0,-396,80] 2 [-4:40:1]
38592d (2 curves)	1	2+ 3+ 67+	2+ 3+ -2  4  4 -2  0 -4
Curve Equation t Generators 38592d1 [0,0,0,-1836,10800] 2 [-44:80:1] 38592d2 [0,0,0,6804,83376] 2 [-1180:16912:125]
38592e (1 curve)	1	2+ 3+ 67+	2+ 3+  3  1  2 -4 -2  0
Curve Equation t Generators 38592e1 [0,0,0,84,432] 1 [-2:16:1]
38592f (1 curve)	1	2+ 3+ 67+	2+ 3+ -3  1 -2 -4  2  0
Curve Equation t Generators 38592f1 [0,0,0,756,-11664] 1 [54:432:1]
38592g (1 curve)	0	2+ 3+ 67-	2+ 3+  1 -1 -2  0  6 -4
Curve Equation t 38592g1 [0,0,0,-13932,-635472] 1
38592h (1 curve)	2	2+ 3+ 67-	2+ 3+ -1 -1  2  0 -6 -4
Curve Equation t Generators 38592h1 [0,0,0,-1548,23536] 1 [-34:192:1]&[8:108:1]
38592i (2 curves)	0	2+ 3+ 67-	2+ 3+  2 -2  0  4 -4  4
Curve Equation t 38592i1 [0,0,0,-2484,47520] 2 38592i2 [0,0,0,-3564,2160] 2
38592j (2 curves)	0	2+ 3+ 67-	2+ 3+ -2 -2  0  4  4  4
Curve Equation t 38592j1 [0,0,0,-276,-1760] 2 38592j2 [0,0,0,-396,-80] 2
38592k (1 curve)	0	2+ 3- 67+	2+ 3-  0  0 -2  4  3 -5
Curve Equation t 38592k1 [0,0,0,-49440,4244128] 1
38592l (1 curve)	0	2+ 3- 67+	2+ 3- -1 -5  2  2  0 -4
Curve Equation t 38592l1 [0,0,0,357,-9524] 1
38592m (1 curve)	2	2+ 3- 67+	2+ 3- -1 -5 -4  4 -6  2
Curve Equation t Generators 38592m1 [0,0,0,-588,-28816] 1 [94:-864:1]&[40:108:1]
38592n (1 curve)	2	2+ 3- 67+	2+ 3-  2 -2 -4 -2 -3 -7
Curve Equation t Generators 38592n1 [0,0,0,-444,3602] 1 [11:7:1]&[19:45:1]
38592o (1 curve)	0	2+ 3- 67+	2+ 3-  2 -2 -4 -4  3  5
Curve Equation t 38592o1 [0,0,0,6,17098] 1
38592p (2 curves)	0	2+ 3- 67+	2+ 3-  2 -2 -4 -4 -6 -4
Curve Equation t 38592p1 [0,0,0,-877024884,-9996914721440] 2 38592p2 [0,0,0,-877024524,-9996923338832] 2
38592q (1 curve)	0	2+ 3- 67+	2+ 3- -2  2  0  4  7 -7
Curve Equation t 38592q1 [0,0,0,-66,2306] 1
38592r (3 curves)	0	2+ 3- 67+	2+ 3- -3 -1  0  4  6 -2
Curve Equation t 38592r1 [0,0,0,-83244,-9736144] 1 38592r2 [0,0,0,461076,-13872976] 1 38592r3 [0,0,0,-5906604,6053020976] 1
38592s (1 curve)	0	2+ 3- 67+	2+ 3- -3  3 -2 -2  0  4
Curve Equation t 38592s1 [0,0,0,-444,-4304] 1
38592t (1 curve)	0	2+ 3- 67+	2+ 3- -3  3  6  6  4 -4
Curve Equation t 38592t1 [0,0,0,-579,5524] 1
38592u (1 curve)	0	2+ 3- 67+	2+ 3- -4 -4 -6  4  3  7
Curve Equation t 38592u1 [0,0,0,-912,-11360] 1
38592v (1 curve)	1	2+ 3- 67-	2+ 3-  0  0 -6 -4  7  5
Curve Equation t Generators 38592v1 [0,0,0,60,-182] 1 [3:5:1]
38592w (1 curve)	1	2+ 3- 67-	2+ 3-  1 -3  0  4 -2  2
Curve Equation t Generators 38592w1 [0,0,0,-1452,152368] 1 [278:4608:1]
38592x (1 curve)	1	2+ 3- 67-	2+ 3- -1 -3 -2  2  4  4
Curve Equation t Generators 38592x1 [0,0,0,3012,-1744] 1 [88:972:1]
38592y (1 curve)	1	2+ 3- 67-	2+ 3- -1  5 -2  2  0  4
Curve Equation t Generators 38592y1 [0,0,0,357,9524] 1 [112:1206:1]
38592z (4 curves)	1	2+ 3- 67-	2+ 3-  2  0  4  2 -2  4
Curve Equation t Generators 38592z1 [0,0,0,-5484,40880] 2 [-276:8360:27] 38592z2 [0,0,0,-51564,-4474960] 4 [-23168220:-24773320:185193] 38592z3 [0,0,0,-17004,-10377808] 2 [152105:5259969:125] 38592z4 [0,0,0,-823404,-287585872] 2 [-48381177183070524:372572169710840:92351537255601]
38592ba (1 curve)	1	2+ 3- 67-	2+ 3-  2  2  4 -4  3 -5
Curve Equation t Generators 38592ba1 [0,0,0,6,-17098] 1 [221:3283:1]
38592bb (2 curves)	1	2+ 3- 67-	2+ 3-  2  2  4 -4 -6  4
Curve Equation t Generators 38592bb1 [0,0,0,-877024884,9996914721440] 2 [733531610:103021344:42875] 38592bb2 [0,0,0,-877024524,9996923338832] 2 [2324330:42986664:125]
38592bc (2 curves)	1	2+ 3- 67-	2+ 3-  2  2 -4  0 -6 -4
Curve Equation t Generators 38592bc1 [0,0,0,-21324,-1197200] 2 [932:28080:1] 38592bc2 [0,0,0,-15564,-1858448] 2 [2045108:-61760880:2197]
38592bd (1 curve)	1	2+ 3- 67-	2+ 3-  2  2 -4  6 -3 -1
Curve Equation t Generators 38592bd1 [0,0,0,96,1312] 1 [-62:81:8]
38592be (1 curve)	1	2+ 3- 67-	2+ 3- -2 -2  0  4  7  7
Curve Equation t Generators 38592be1 [0,0,0,-66,-2306] 1 [45:293:1]
38592bf (2 curves)	1	2+ 3- 67-	2+ 3- -2 -2 -4 -4 -6  4
Curve Equation t Generators 38592bf1 [0,0,0,-2316,-42640] 2 [-28:16:1] 38592bf2 [0,0,0,-876,-95056] 2 [70:432:1]
38592bg (1 curve)	1	2+ 3- 67-	2+ 3- -3 -3  0 -4 -2  2
Curve Equation t Generators 38592bg1 [0,0,0,-457644,-119162576] 1 [998:20448:1]
38592bh (1 curve)	1	2+ 3- 67-	2+ 3- -3 -3 -6  6  4  4
Curve Equation t Generators 38592bh1 [0,0,0,-579,-5524] 1 [52:324:1]
38592bi (2 curves)	1	2+ 3- 67-	2+ 3-  4  0  0 -2 -2 -4
Curve Equation t Generators 38592bi1 [0,0,0,2112,22120] 2 [4530:47804:125] 38592bi2 [0,0,0,-9948,190960] 2 [-30:680:1]
38592bj (1 curve)	0	2- 3+ 67+	2- 3+  1  1  2  0  6  4
Curve Equation t 38592bj1 [0,0,0,-13932,635472] 1
38592bk (1 curve)	0	2- 3+ 67+	2- 3+ -1  1 -2  0 -6  4
Curve Equation t 38592bk1 [0,0,0,-1548,-23536] 1
38592bl (2 curves)	1	2- 3+ 67-	2- 3+  2 -4  4 -2  0  4
Curve Equation t Generators 38592bl1 [0,0,0,-204,400] 2 [0:20:1] 38592bl2 [0,0,0,756,3088] 2 [96:980:1]
38592bm (2 curves)	1	2- 3+ 67-	2- 3+ -2 -4 -4 -2  0  4
Curve Equation t Generators 38592bm1 [0,0,0,-1836,-10800] 2 [-38:64:1] 38592bm2 [0,0,0,6804,-83376] 2 [16:172:1]
38592bn (1 curve)	1	2- 3+ 67-	2- 3+  3 -1 -2 -4 -2  0
Curve Equation t Generators 38592bn1 [0,0,0,84,-432] 1 [12:48:1]
38592bo (1 curve)	1	2- 3+ 67-	2- 3+ -3 -1  2 -4  2  0
Curve Equation t Generators 38592bo1 [0,0,0,756,11664] 1 [0:108:1]
38592bp (2 curves)	1	2- 3- 67+	2- 3-  0  0  0 -6  6  4
Curve Equation t Generators 38592bp1 [0,0,0,-795,8624] 2 [-32:36:1] 38592bp2 [0,0,0,-660,11648] 2 [16:72:1]
38592bq (1 curve)	1	2- 3- 67+	2- 3-  0  0  6 -4  7 -5
Curve Equation t Generators 38592bq1 [0,0,0,60,182] 1 [-1:11:1]
38592br (1 curve)	1	2- 3- 67+	2- 3-  0  4 -2  2 -7  7
Curve Equation t Generators 38592br1 [0,0,0,-30,-106] 1 [194:927:8]
38592bs (1 curve)	1	2- 3- 67+	2- 3-  1 -1  0  4 -6  6
Curve Equation t Generators 38592bs1 [0,0,0,33,128] 1 [4:18:1]
38592bt (1 curve)	1	2- 3- 67+	2- 3-  1  3  0  4 -2 -2
Curve Equation t Generators 38592bt1 [0,0,0,-1452,-152368] 1 [112:1044:1]
38592bu (1 curve)	1	2- 3- 67+	2- 3- -1  3  2  2  4 -4
Curve Equation t Generators 38592bu1 [0,0,0,3012,1744] 1 [14:216:1]
38592bv (4 curves)	1	2- 3- 67+	2- 3-  2  0 -4  2 -2 -4
Curve Equation t Generators 38592bv1 [0,0,0,-5484,-40880] 2 [80:180:1] 38592bv2 [0,0,0,-51564,4474960] 4 [5165:370845:1] 38592bv3 [0,0,0,-17004,10377808] 2 [355882501:-25565954805:68921] 38592bv4 [0,0,0,-823404,287585872] 2 [-934:15552:1]
38592bw (2 curves)	1	2- 3- 67+	2- 3-  2 -2  4  0 -6  4
Curve Equation t Generators 38592bw1 [0,0,0,-21324,1197200] 2 [32:740:1] 38592bw2 [0,0,0,-15564,1858448] 2 [-14:1440:1]
38592bx (1 curve)	1	2- 3- 67+	2- 3-  2 -2  4  6 -3  1
Curve Equation t Generators 38592bx1 [0,0,0,96,-1312] 1 [676:1899:64]
38592by (2 curves)	1	2- 3- 67+	2- 3- -2  2  4 -4 -6 -4
Curve Equation t Generators 38592by1 [0,0,0,-2316,42640] 2 [-22:288:1] 38592by2 [0,0,0,-876,95056] 2 [-16:324:1]
38592bz (1 curve)	1	2- 3- 67+	2- 3- -3  3  0 -4 -2 -2
Curve Equation t Generators 38592bz1 [0,0,0,-457644,119162576] 1 [400:324:1]
38592ca (2 curves)	1	2- 3- 67+	2- 3-  4  0  0 -2 -2  4
Curve Equation t Generators 38592ca1 [0,0,0,2112,-22120] 2 [1210:42120:1] 38592ca2 [0,0,0,-9948,-190960] 2 [-59540:532440:2197]
38592cb (2 curves)	0	2- 3- 67-	2- 3-  0  0  0 -6  6 -4
Curve Equation t 38592cb1 [0,0,0,-795,-8624] 2 38592cb2 [0,0,0,-660,-11648] 2
38592cc (1 curve)	0	2- 3- 67-	2- 3-  0  0  2  4  3  5
Curve Equation t 38592cc1 [0,0,0,-49440,-4244128] 1
38592cd (1 curve)	2	2- 3- 67-	2- 3-  0 -4  2  2 -7 -7
Curve Equation t Generators 38592cd1 [0,0,0,-30,106] 1 [-3:13:1]&[5:9:1]
38592ce (1 curve)	0	2- 3- 67-	2- 3-  1  1  0  4 -6 -6
Curve Equation t 38592ce1 [0,0,0,33,-128] 1
38592cf (1 curve)	0	2- 3- 67-	2- 3- -1  5  4  4 -6 -2
Curve Equation t 38592cf1 [0,0,0,-588,28816] 1
38592cg (1 curve)	0	2- 3- 67-	2- 3-  2  2  4 -2 -3  7
Curve Equation t 38592cg1 [0,0,0,-444,-3602] 1
38592ch (3 curves)	0	2- 3- 67-	2- 3- -3  1  0  4  6  2
Curve Equation t 38592ch1 [0,0,0,-83244,9736144] 1 38592ch2 [0,0,0,461076,13872976] 1 38592ch3 [0,0,0,-5906604,-6053020976] 1
38592ci (1 curve)	2	2- 3- 67-	2- 3- -3 -3  2 -2  0 -4
Curve Equation t Generators 38592ci1 [0,0,0,-444,4304] 1 [-2:-72:1]&[-10:88:1]
38592cj (1 curve)	0	2- 3- 67-	2- 3- -4  4  6  4  3 -7
Curve Equation t 38592cj1 [0,0,0,-912,11360] 1

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