Cremona's table of elliptic curves

21648 = 2⁴ · 3 · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
21648a (1 curve)	1	2+ 3+ 11+ 41+	2+ 3+ -3  5 11+ -6 -1  3
Curve Equation t Generators 21648a1 [0,-1,0,-49772,-4259376] 1 [88844:137052:343]
21648b (1 curve)	0	2+ 3+ 11+ 41-	2+ 3+  1  1 11+ -2 -3 -1
Curve Equation t 21648b1 [0,-1,0,-115,-542] 1
21648c (4 curves)	0	2+ 3+ 11+ 41-	2+ 3+  2  0 11+  2 -6  4
Curve Equation t 21648c1 [0,-1,0,-452,-3552] 2 21648c2 [0,-1,0,-472,-3200] 4 21648c3 [0,-1,0,848,-19040] 2 21648c4 [0,-1,0,-2112,34848] 2
21648d (2 curves)	0	2+ 3+ 11- 41+	2+ 3+  0  2 11-  6  2  0
Curve Equation t 21648d1 [0,-1,0,-12088,-507392] 2 21648d2 [0,-1,0,-13728,-359136] 2
21648e (2 curves)	0	2+ 3+ 11- 41+	2+ 3+ -2 -2 11- -4 -2  0
Curve Equation t 21648e1 [0,-1,0,-16207584,-25109156016] 2 21648e2 [0,-1,0,-16207544,-25109286192] 2
21648f (4 curves)	0	2+ 3+ 11- 41+	2+ 3+ -2  4 11-  2 -2  0
Curve Equation t 21648f1 [0,-1,0,1,258] 2 21648f2 [0,-1,0,-604,5824] 4 21648f3 [0,-1,0,-1264,-8432] 2 21648f4 [0,-1,0,-9624,366624] 2
21648g (1 curve)	0	2+ 3+ 11- 41+	2+ 3+  3  3 11-  6  3  5
Curve Equation t 21648g1 [0,-1,0,-4999,137722] 1
21648h (1 curve)	1	2+ 3+ 11- 41-	2+ 3+ -3  3 11- -2 -7  5
Curve Equation t Generators 21648h1 [0,-1,0,-12,-144] 1 [12:36:1]
21648i (1 curve)	1	2+ 3- 11+ 41-	2+ 3- -1 -3 11+  2 -3  3
Curve Equation t Generators 21648i1 [0,1,0,-2791,82268] 1 [8:246:1]
21648j (2 curves)	1	2+ 3- 11- 41+	2+ 3-  0 -4 11- -2 -2  4
Curve Equation t Generators 21648j1 [0,1,0,-36528,2674980] 2 [102:144:1] 21648j2 [0,1,0,-36488,2681172] 2 [76:594:1]
21648k (1 curve)	1	2+ 3- 11- 41+	2+ 3- -1 -1 11-  6  3  1
Curve Equation t Generators 21648k1 [0,1,0,-31831,-195513604] 1 [8552:790614:1]
21648l (1 curve)	1	2+ 3- 11- 41+	2+ 3-  3 -1 11- -2 -5  1
Curve Equation t Generators 21648l1 [0,1,0,1,-12] 1 [16:66:1]
21648m (4 curves)	0	2- 3+ 11+ 41+	2- 3+  0  4 11+  2  6  4
Curve Equation t 21648m1 [0,-1,0,-490968,-132248592] 2 21648m2 [0,-1,0,-488408,-133698576] 2 21648m3 [0,-1,0,-583368,-78907920] 2 21648m4 [0,-1,0,2038072,-594807312] 2
21648n (1 curve)	2	2- 3+ 11+ 41+	2- 3+ -1 -3 11+ -2 -5 -1
Curve Equation t Generators 21648n1 [0,-1,0,-7656,-359568] 1 [114:486:1]&[164:1664:1]
21648o (2 curves)	2	2- 3+ 11+ 41+	2- 3+ -4  0 11+ -2 -2 -4
Curve Equation t Generators 21648o1 [0,-1,0,-440,3696] 2 [-20:64:1]&[-6:78:1] 21648o2 [0,-1,0,-280,6256] 2 [-12:88:1]&[4:72:1]
21648p (2 curves)	1	2- 3+ 11+ 41-	2- 3+  2 -4 11+  0  6  0
Curve Equation t Generators 21648p1 [0,-1,0,-1112,-11472] 2 [-14:34:1] 21648p2 [0,-1,0,2168,-69200] 2 [314:5610:1]
21648q (4 curves)	1	2- 3+ 11+ 41-	2- 3+ -2  0 11+ -6 -6  4
Curve Equation t Generators 21648q1 [0,-1,0,-5424,-124992] 2 [113:832:1] 21648q2 [0,-1,0,-25904,1497024] 4 [-56:1664:1] 21648q3 [0,-1,0,26576,6745024] 2 [26:2730:1] 21648q4 [0,-1,0,-406064,99730368] 4 [538:6058:1]
21648r (2 curves)	1	2- 3+ 11- 41+	2- 3+  0  2 11-  0  2 -4
Curve Equation t Generators 21648r1 [0,-1,0,-163688,25520496] 2 [130:2534:1] 21648r2 [0,-1,0,-122728,38562160] 2 [868:24192:1]
21648s (2 curves)	1	2- 3+ 11- 41+	2- 3+  0  2 11- -6  2  8
Curve Equation t Generators 21648s1 [0,-1,0,-184128,-4432896] 2 [-48741280:-88772608:117649] 21648s2 [0,-1,0,-1863488,974969856] 2 [-1568:6272:1]
21648t (1 curve)	1	2- 3+ 11- 41+	2- 3+ -1  4 11-  1 -3  3
Curve Equation t Generators 21648t1 [0,-1,0,-26256,-2627136] 1 [1688:68992:1]
21648u (2 curves)	1	2- 3+ 11- 41+	2- 3+  2 -2 11-  4  6  0
Curve Equation t Generators 21648u1 [0,-1,0,-12152,-389520] 2 [-86:110:1] 21648u2 [0,-1,0,28808,-2486672] 2 [348:7040:1]
21648v (2 curves)	1	2- 3+ 11- 41+	2- 3+ -4 -2 11- -2 -6  0
Curve Equation t Generators 21648v1 [0,-1,0,-1760,28416] 2 [16:64:1] 21648v2 [0,-1,0,-28000,1812736] 2 [64:528:1]
21648w (1 curve)	2	2- 3+ 11- 41-	2- 3+ -1 -1 11- -6 -3 -3
Curve Equation t Generators 21648w1 [0,-1,0,-536,5424] 1 [-22:78:1]&[-20:88:1]
21648x (2 curves)	0	2- 3+ 11- 41-	2- 3+ -3  4 11-  5  3 -5
Curve Equation t 21648x1 [0,-1,0,-115912,-15159824] 1 21648x2 [0,-1,0,110408,-64328336] 1
21648y (2 curves)	1	2- 3- 11+ 41+	2- 3-  0  2 11+  2 -6  0
Curve Equation t Generators 21648y1 [0,1,0,-1328,-13740] 2 [-14:48:1] 21648y2 [0,1,0,-7888,256532] 2 [-22:648:1]
21648z (1 curve)	1	2- 3- 11+ 41+	2- 3- -1  1 11+ -2 -1 -1
Curve Equation t Generators 21648z1 [0,1,0,144,468] 1 [18:96:1]
21648ba (2 curves)	1	2- 3- 11+ 41+	2- 3-  2  0 11+  4 -6 -4
Curve Equation t Generators 21648ba1 [0,1,0,-672,1332] 2 [-6:72:1] 21648ba2 [0,1,0,2608,13140] 2 [28:330:1]
21648bb (2 curves)	1	2- 3- 11+ 41+	2- 3-  2 -2 11+  4  6 -8
Curve Equation t Generators 21648bb1 [0,1,0,-14872,693140] 2 [68:30:1] 21648bb2 [0,1,0,-14712,708948] 2 [-18:984:1]
21648bc (1 curve)	1	2- 3- 11+ 41+	2- 3-  3  1 11+ -2  3 -5
Curve Equation t Generators 21648bc1 [0,1,0,-184,-329836] 1 [70:72:1]
21648bd (2 curves)	1	2- 3- 11+ 41+	2- 3- -4 -2 11+ -2  2  8
Curve Equation t Generators 21648bd1 [0,1,0,-189040,-29637676] 2 [400500:4163878:729] 21648bd2 [0,1,0,-608880,147534804] 2 [-238:16704:1]
21648be (2 curves)	0	2- 3- 11- 41+	2- 3-  0  4 11-  6 -2  4
Curve Equation t 21648be1 [0,1,0,-408,-3180] 2 21648be2 [0,1,0,232,-11628] 2
21648bf (1 curve)	1	2- 3- 11- 41-	2- 3- -1  0 11- -1  3  5
Curve Equation t Generators 21648bf1 [0,1,0,-176,-1452] 1 [66:528:1]
21648bg (1 curve)	1	2- 3- 11- 41-	2- 3- -1 -5 11- -6 -7  5
Curve Equation t Generators 21648bg1 [0,1,0,-2402416,2378982356] 1 [530:35424:1]
21648bh (1 curve)	1	2- 3- 11- 41-	2- 3-  3 -5 11- -6  5  1
Curve Equation t Generators 21648bh1 [0,1,0,-154277384,-737618488332] 1 [21246:2361216:1]

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