Cremona's table of elliptic curves

18648 = 2³ · 3² · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
18648a (2 curves)	1	2+ 3+ 7+ 37+	2+ 3+  0 7+ -6 -2  0  4
Curve Equation t Generators 18648a1 [0,0,0,-2295,42282] 2 [43:152:1] 18648a2 [0,0,0,-1755,62694] 2 [-17:296:1]
18648b (2 curves)	1	2+ 3+ 7+ 37+	2+ 3+ -2 7+ -2  6  2 -8
Curve Equation t Generators 18648b1 [0,0,0,9234,27729] 2 [24:513:1] 18648b2 [0,0,0,-37071,222210] 2 [367:6004:1]
18648c (2 curves)	1	2+ 3+ 7+ 37+	2+ 3+  4 7+ -2 -6 -4  4
Curve Equation t Generators 18648c1 [0,0,0,-114183,14850810] 2 [28295:97048:125] 18648c2 [0,0,0,-113643,14998230] 2 [535:10360:1]
18648d (2 curves)	2	2+ 3+ 7+ 37-	2+ 3+ -2 7+ -2 -4 -2 -2
Curve Equation t Generators 18648d1 [0,0,0,9,170] 2 [-2:12:1]&[2:14:1] 18648d2 [0,0,0,-411,3110] 2 [-17:72:1]&[7:24:1]
18648e (1 curve)	0	2+ 3- 7+ 37+	2+ 3-  1 7+ -5 -1 -6 -4
Curve Equation t 18648e1 [0,0,0,-295452,-61958412] 1
18648f (2 curves)	0	2+ 3- 7+ 37+	2+ 3-  2 7+  0  4 -2 -6
Curve Equation t 18648f1 [0,0,0,-5214,-144695] 2 18648f2 [0,0,0,-6879,-44462] 2
18648g (2 curves)	0	2+ 3- 7+ 37+	2+ 3-  2 7+  4 -4  6 -2
Curve Equation t 18648g1 [0,0,0,-174,65] 2 18648g2 [0,0,0,-1839,-30238] 2
18648h (2 curves)	0	2+ 3- 7+ 37+	2+ 3-  4 7+  4 -4  0  2
Curve Equation t 18648h1 [0,0,0,-151938,22795425] 2 18648h2 [0,0,0,-151623,22894650] 2
18648i (4 curves)	1	2+ 3- 7+ 37-	2+ 3- -2 7+  4 -2 -6  4
Curve Equation t Generators 18648i1 [0,0,0,-3666,-121399] 4 [436:9009:1] 18648i2 [0,0,0,-65271,-6417430] 4 [11314:417989:8] 18648i3 [0,0,0,-1044291,-410752690] 2 [16921718:-469385215:10648] 18648i4 [0,0,0,-71931,-5028154] 2 [-209:936:1]
18648j (2 curves)	1	2+ 3- 7+ 37-	2+ 3-  4 7+  4  2 -8 -8
Curve Equation t Generators 18648j1 [0,0,0,-5358,-158695] 2 [160:1755:1] 18648j2 [0,0,0,-86943,-9867310] 2 [47195:416988:125]
18648k (2 curves)	1	2+ 3- 7- 37+	2+ 3-  2 7-  0  4 -2 -6
Curve Equation t Generators 18648k1 [0,0,0,-174,-583] 2 [-4:7:1] 18648k2 [0,0,0,-1119,13970] 2 [23:20:1]
18648l (2 curves)	1	2+ 3- 7- 37+	2+ 3- -2 7- -2 -4  2  0
Curve Equation t Generators 18648l1 [0,0,0,249,250] 2 [3:32:1] 18648l2 [0,0,0,-1011,2014] 2 [-25:108:1]
18648m (2 curves)	1	2+ 3- 7- 37+	2+ 3-  4 7- -4 -4  4 -2
Curve Equation t Generators 18648m1 [0,0,0,1257,6410] 2 [1810:27565:8] 18648m2 [0,0,0,-5403,53030] 2 [-65:360:1]
18648n (2 curves)	0	2+ 3- 7- 37-	2+ 3-  0 7-  0 -6  4  0
Curve Equation t 18648n1 [0,0,0,-259950,-50900663] 2 18648n2 [0,0,0,-161535,-89892686] 2
18648o (2 curves)	0	2+ 3- 7- 37-	2+ 3-  0 7-  4  2  4  4
Curve Equation t 18648o1 [0,0,0,-4710,112201] 2 18648o2 [0,0,0,6225,556162] 2
18648p (4 curves)	2	2+ 3- 7- 37-	2+ 3- -2 7- -4 -6 -6  0
Curve Equation t Generators 18648p1 [0,0,0,-1146,-14191] 2 [-20:27:1]&[-16:7:1] 18648p2 [0,0,0,-3351,56810] 4 [-62:162:1]&[-29:360:1] 18648p3 [0,0,0,-49971,4299230] 2 [-113:2916:1]&[-17:2268:1] 18648p4 [0,0,0,7989,358454] 2 [-34:218:1]&[-1:592:1]
18648q (2 curves)	0	2- 3+ 7+ 37+	2- 3+  0 7+  6 -2  0  4
Curve Equation t 18648q1 [0,0,0,-255,-1566] 2 18648q2 [0,0,0,-195,-2322] 2
18648r (2 curves)	0	2- 3+ 7+ 37+	2- 3+  2 7+  2  6 -2 -8
Curve Equation t 18648r1 [0,0,0,1026,-1027] 2 18648r2 [0,0,0,-4119,-8230] 2
18648s (2 curves)	0	2- 3+ 7+ 37+	2- 3+ -4 7+  2 -6  4  4
Curve Equation t 18648s1 [0,0,0,-12687,-550030] 2 18648s2 [0,0,0,-12627,-555490] 2
18648t (2 curves)	1	2- 3+ 7+ 37-	2- 3+  2 7+  2 -4  2 -2
Curve Equation t Generators 18648t1 [0,0,0,81,-4590] 2 [42:270:1] 18648t2 [0,0,0,-3699,-83970] 2 [70:10:1]
18648u (2 curves)	1	2- 3- 7+ 37+	2- 3-  0 7+ -4  0  4  2
Curve Equation t Generators 18648u1 [0,0,0,-90,-243] 2 [-6:9:1] 18648u2 [0,0,0,225,-1566] 2 [15:72:1]
18648v (1 curve)	1	2- 3- 7+ 37+	2- 3- -1 7+ -1 -3 -2  4
Curve Equation t Generators 18648v1 [0,0,0,26772,-266236] 1 [112:2034:1]
18648w (1 curve)	1	2- 3- 7+ 37+	2- 3- -1 7+  2  0  4  1
Curve Equation t Generators 18648w1 [0,0,0,-1083,37046] 1 [-2:198:1]
18648x (2 curves)	1	2- 3- 7+ 37+	2- 3-  2 7+  2  0 -2  4
Curve Equation t Generators 18648x1 [0,0,0,-1119,-225790] 2 [115:1080:1] 18648x2 [0,0,0,-62859,-6017002] 2 [2978:37665:8]
18648y (2 curves)	1	2- 3- 7+ 37+	2- 3-  2 7+ -4  0 -2 -2
Curve Equation t Generators 18648y1 [0,0,0,-27894,1793045] 2 [98:25:1] 18648y2 [0,0,0,-29559,1566938] 2 [49:486:1]
18648z (2 curves)	1	2- 3- 7+ 37+	2- 3-  2 7+ -4 -6  4  4
Curve Equation t Generators 18648z1 [0,0,0,141,28478] 2 [259:4176:1] 18648z2 [0,0,0,-13179,569270] 2 [2146:32335:8]
18648ba (1 curve)	1	2- 3- 7+ 37+	2- 3- -3 7+  3 -5 -6  4
Curve Equation t Generators 18648ba1 [0,0,0,36,324] 1 [0:18:1]
18648bb (4 curves)	0	2- 3- 7+ 37-	2- 3- -2 7+  4 -2  2  8
Curve Equation t 18648bb1 [0,0,0,-5466,-155531] 2 18648bb2 [0,0,0,-5871,-131150] 4 18648bb3 [0,0,0,-32331,2128534] 4 18648bb4 [0,0,0,14109,-830450] 2
18648bc (2 curves)	0	2- 3- 7+ 37-	2- 3-  4 7+  0 -2  0  8
Curve Equation t 18648bc1 [0,0,0,-116238,-6226715] 2 18648bc2 [0,0,0,419577,-47484470] 2
18648bd (2 curves)	0	2- 3- 7- 37+	2- 3-  0 7-  4 -4  0  2
Curve Equation t 18648bd1 [0,0,0,-255,-6302] 2 18648bd2 [0,0,0,-6915,-220754] 2
18648be (2 curves)	1	2- 3- 7- 37-	2- 3-  0 7-  0 -2 -4  4
Curve Equation t Generators 18648be1 [0,0,0,330,-331] 2 [10:63:1] 18648be2 [0,0,0,-1335,-2662] 2 [-23:126:1]
18648bf (1 curve)	1	2- 3- 7- 37-	2- 3-  1 7- -3  1  2 -4
Curve Equation t Generators 18648bf1 [0,0,0,-1812,-30508] 1 [52:126:1]
18648bg (4 curves)	1	2- 3- 7- 37-	2- 3- -2 7-  0 -2  2 -4
Curve Equation t Generators 18648bg1 [0,0,0,-340626,85964429] 4 [-158:11655:1] 18648bg2 [0,0,0,-5634831,5148283250] 4 [367:55944:1] 18648bg3 [0,0,0,-5820051,4791734750] 2 [2726:95830:1] 18648bg4 [0,0,0,-90156891,329493236294] 2 [5806:41958:1]
18648bh (1 curve)	1	2- 3- 7- 37-	2- 3-  3 7-  0 -2  2  1
Curve Equation t Generators 18648bh1 [0,0,0,-143211,-23467642] 1 [31456981209516374:694070171787108726:43217683949357]

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