Cremona's table of elliptic curves

72624 = 2⁴ · 3 · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
72624a (2 curves)	1	2+ 3+ 17+ 89+	2+ 3+  2  4 -2  6 17+ -6
Curve Equation t Generators 72624a1 [0,-1,0,-492,-4032] 2 [38856:319725:512] 72624a2 [0,-1,0,-312,-7200] 2 [297:5100:1]
72624b (2 curves)	1	2+ 3+ 17+ 89+	2+ 3+ -2  4  4 -6 17+ -2
Curve Equation t Generators 72624b1 [0,-1,0,-244,1504] 2 [4:24:1] 72624b2 [0,-1,0,96,5040] 2 [21:126:1]
72624c (1 curve)	1	2+ 3+ 17+ 89+	2+ 3+ -4 -2 -2  0 17+  0
Curve Equation t Generators 72624c1 [0,-1,0,-147865,-28198379] 1 [715095372:9880784863:1295029]
72624d (2 curves)	2	2+ 3+ 17- 89+	2+ 3+ -4  0  0 -4 17-  8
Curve Equation t Generators 72624d1 [0,-1,0,-480,4176] 2 [-24:36:1]&[4:48:1] 72624d2 [0,-1,0,-120,9936] 2 [-22:38:1]&[-6:102:1]
72624e (4 curves)	1	2+ 3+ 17- 89-	2+ 3+  2 -4  0 -2 17-  4
Curve Equation t Generators 72624e1 [0,-1,0,-14692,100192] 2 [2101:96120:1] 72624e2 [0,-1,0,-173112,27728640] 4 [-280:7360:1] 72624e3 [0,-1,0,-112592,47337120] 2 [-131256:3942315:512] 72624e4 [0,-1,0,-2768352,1773806112] 4 [289405:11018104:125]
72624f (2 curves)	0	2+ 3- 17+ 89+	2+ 3-  4  2  2  6 17+  4
Curve Equation t 72624f1 [0,1,0,-696,-5148] 2 72624f2 [0,1,0,-4256,101652] 2
72624g (1 curve)	1	2+ 3- 17+ 89-	2+ 3-  0  2  2  4 17+  0
Curve Equation t Generators 72624g1 [0,1,0,-473,-4173] 1 [78:663:1]
72624h (1 curve)	1	2+ 3- 17+ 89-	2+ 3-  2  1 -3  4 17+  6
Curve Equation t Generators 72624h1 [0,1,0,-297,1875] 1 [282:125:27]
72624i (1 curve)	1	2+ 3- 17- 89+	2+ 3-  2 -3 -3  2 17-  4
Curve Equation t Generators 72624i1 [0,1,0,63,-405] 1 [6:15:1]
72624j (4 curves)	0	2+ 3- 17- 89-	2+ 3-  2  0  0  2 17- -4
Curve Equation t 72624j1 [0,1,0,-612,-5508] 2 72624j2 [0,1,0,-2232,34020] 4 72624j3 [0,1,0,3888,193140] 2 72624j4 [0,1,0,-34272,2430612] 2
72624k (4 curves)	0	2- 3+ 17+ 89+	2- 3+  0 -2  6  2 17+  4
Curve Equation t 72624k1 [0,-1,0,-3254528,-2219065344] 2 72624k2 [0,-1,0,-6899968,3663216640] 2 72624k3 [0,-1,0,-30211328,62979231744] 2 72624k4 [0,-1,0,-481391488,4065488667136] 2
72624l (1 curve)	0	2- 3+ 17+ 89+	2- 3+  1  4  3  1 17+ -7
Curve Equation t 72624l1 [0,-1,0,-125,-687] 1
72624m (2 curves)	1	2- 3+ 17+ 89-	2- 3+  0  0 -6 -4 17+ -2
Curve Equation t Generators 72624m1 [0,-1,0,-1368,-1296] 2 [-4:64:1] 72624m2 [0,-1,0,-14328,662256] 2 [90:-306:1]
72624n (2 curves)	1	2- 3+ 17+ 89-	2- 3+  2  2  4 -4 17+ -4
Curve Equation t Generators 72624n1 [0,-1,0,-77152,-8222720] 2 [1522:58290:1] 72624n2 [0,-1,0,-76992,-8258688] 2 [37119594:-1421650890:24389]
72624o (2 curves)	1	2- 3+ 17+ 89-	2- 3+  2  2 -4  4 17+ -4
Curve Equation t Generators 72624o1 [0,-1,0,-76992,8248320] 2 [-96:3840:1] 72624o2 [0,-1,0,-74432,8819712] 2 [-94:3870:1]
72624p (2 curves)	1	2- 3+ 17+ 89-	2- 3+ -2 -2 -4  4 17+ -8
Curve Equation t Generators 72624p1 [0,-1,0,-18544,865984] 2 [40:432:1] 72624p2 [0,-1,0,27696,4454208] 2 [-22:1958:1]
72624q (4 curves)	1	2- 3+ 17- 89+	2- 3+  0  4  0 -4 17- -8
Curve Equation t Generators 72624q1 [0,-1,0,-114648,-9030672] 2 [6477:520506:1] 72624q2 [0,-1,0,351912,-64271376] 2 [186:2754:1] 72624q3 [0,-1,0,-3970248,3045838320] 2 [823305:-64053234:125] 72624q4 [0,-1,0,-3601608,3633892848] 2 [-1854:62730:1]
72624r (2 curves)	1	2- 3+ 17- 89+	2- 3+ -2 -2  4  4 17- -2
Curve Equation t Generators 72624r1 [0,-1,0,-5304,-41616] 2 [-51:306:1] 72624r2 [0,-1,0,-48824,4136304] 2 [461:8910:1]
72624s (4 curves)	2	2- 3+ 17- 89-	2- 3+ -2  0  0 -2 17-  4
Curve Equation t Generators 72624s1 [0,-1,0,-4624,-119360] 2 [-38:6:1]&[81:176:1] 72624s2 [0,-1,0,-5904,-46656] 4 [-40:352:1]&[90:378:1] 72624s3 [0,-1,0,22576,-388416] 2 [34:646:1]&[85:1462:1] 72624s4 [0,-1,0,-54864,4927680] 4 [-24:2496:1]&[120:240:1]
72624t (1 curve)	0	2- 3+ 17- 89-	2- 3+ -2  3 -5  4 17-  2
Curve Equation t 72624t1 [0,-1,0,-3949,-155711] 1
72624u (2 curves)	1	2- 3- 17+ 89+	2- 3-  0 -2 -2  2 17+ -4
Curve Equation t Generators 72624u1 [0,1,0,-1408,-76] 2 [-22:144:1] 72624u2 [0,1,0,-15648,746100] 2 [-78:1224:1]
72624v (1 curve)	1	2- 3- 17+ 89+	2- 3-  2  1 -1 -4 17+  2
Curve Equation t Generators 72624v1 [0,1,0,283,10515] 1 [70:615:1]
72624w (1 curve)	0	2- 3- 17+ 89-	2- 3-  1  4  1  5 17+ -1
Curve Equation t 72624w1 [0,1,0,-28965,72778131] 1
72624x (2 curves)	0	2- 3- 17- 89+	2- 3-  0  4  4  0 17-  0
Curve Equation t 72624x1 [0,1,0,-408,2196] 2 72624x2 [0,1,0,1032,15444] 2
72624y (1 curve)	1	2- 3- 17- 89-	2- 3-  0 -2  6  0 17-  4
Curve Equation t Generators 72624y1 [0,1,0,1427,48119] 1 [23:-306:1]
72624z (2 curves)	1	2- 3- 17- 89-	2- 3- -2  4 -2  2 17- -4
Curve Equation t Generators 72624z1 [0,1,0,-1193384,501388020] 2 [628:102:1] 72624z2 [0,1,0,-1186264,507673556] 2 [116:19278:1]
72624ba (4 curves)	1	2- 3- 17- 89-	2- 3- -2  4  4 -6 17-  4
Curve Equation t Generators 72624ba1 [0,1,0,-82624,-9042124] 2 [12873:209440:27] 72624ba2 [0,1,0,-164544,11765556] 4 [1740:70686:1] 72624ba3 [0,1,0,575296,89004852] 4 [566356:25537842:343] 72624ba4 [0,1,0,-2215104,1267528500] 2 [42:34272:1]

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