Cremona's table of elliptic curves

33984 = 2⁶ · 3² · 59

Class	r	Atkin-Lehner	Eigenvalues
33984a (2 curves)	1	2+ 3+ 59+	2+ 3+  0 -4  4  2 -4  0
Curve Equation t Generators 33984a1 [0,0,0,-1260,-6992] 2 [-12:80:1] 33984a2 [0,0,0,-16620,-824144] 2 [12836:126555:64]
33984b (2 curves)	1	2+ 3+ 59+	2+ 3+  2  0 -4  0  0  4
Curve Equation t Generators 33984b1 [0,0,0,-204,1008] 2 [4:16:1] 33984b2 [0,0,0,276,5040] 2 [52:400:1]
33984c (2 curves)	1	2+ 3+ 59+	2+ 3+  4  4 -4 -2 -4  0
Curve Equation t Generators 33984c1 [0,0,0,-2268,41040] 2 [-20:280:1] 33984c2 [0,0,0,-4428,-49680] 2 [-3580:28952:125]
33984d (2 curves)	0	2+ 3+ 59-	2+ 3+  0 -4 -4  2  4  0
Curve Equation t 33984d1 [0,0,0,-11340,188784] 2 33984d2 [0,0,0,-149580,22251888] 2
33984e (2 curves)	0	2+ 3+ 59-	2+ 3+ -2  0  4  0  0  4
Curve Equation t 33984e1 [0,0,0,-1836,-27216] 2 33984e2 [0,0,0,2484,-136080] 2
33984f (2 curves)	0	2+ 3+ 59-	2+ 3+ -4  4  4 -2  4  0
Curve Equation t 33984f1 [0,0,0,-252,-1520] 2 33984f2 [0,0,0,-492,1840] 2
33984g (2 curves)	0	2+ 3- 59+	2+ 3-  0  0  4 -4 -6  4
Curve Equation t 33984g1 [0,0,0,-1740,21616] 2 33984g2 [0,0,0,4020,134512] 2
33984h (2 curves)	0	2+ 3- 59+	2+ 3-  0 -1  3 -5  3 -8
Curve Equation t 33984h1 [0,0,0,5460,118064] 1 33984h2 [0,0,0,-124140,17028272] 1
33984i (1 curve)	0	2+ 3- 59+	2+ 3-  0 -1 -5 -1 -1  0
Curve Equation t 33984i1 [0,0,0,-412140,-101842256] 1
33984j (2 curves)	0	2+ 3- 59+	2+ 3-  0  4 -4  4  2  4
Curve Equation t 33984j1 [0,0,0,-2100,-37024] 2 33984j2 [0,0,0,-1740,-50128] 2
33984k (2 curves)	0	2+ 3- 59+	2+ 3-  1  3  2  6  2  5
Curve Equation t 33984k1 [0,0,0,-14412,-685712] 1 33984k2 [0,0,0,66228,34957168] 1
33984l (1 curve)	0	2+ 3- 59+	2+ 3- -1  3 -4 -6  6  7
Curve Equation t 33984l1 [0,0,0,72,-216] 1
33984m (2 curves)	2	2+ 3- 59+	2+ 3- -2  0 -4 -6  2 -4
Curve Equation t Generators 33984m1 [0,0,0,384,-8120] 2 [18:68:1]&[62:504:1] 33984m2 [0,0,0,-4476,-103376] 2 [-46:72:1]&[-40:108:1]
33984n (1 curve)	2	2+ 3- 59+	2+ 3- -2 -3 -1  3 -7 -4
Curve Equation t Generators 33984n1 [0,0,0,-2316,43504] 1 [-34:288:1]&[30:32:1]
33984o (2 curves)	0	2+ 3- 59+	2+ 3-  3 -1  6  4  6 -5
Curve Equation t 33984o1 [0,0,0,-336,-2392] 1 33984o2 [0,0,0,1104,-12472] 1
33984p (1 curve)	0	2+ 3- 59+	2+ 3- -3 -1 -2  2  2 -3
Curve Equation t 33984p1 [0,0,0,276,-10064] 1
33984q (1 curve)	0	2+ 3- 59+	2+ 3- -3  3  6  6  2  1
Curve Equation t 33984q1 [0,0,0,-684,7344] 1
33984r (2 curves)	0	2+ 3- 59+	2+ 3-  4  0 -4  0  2 -4
Curve Equation t 33984r1 [0,0,0,-13542348,19125539440] 2 33984r2 [0,0,0,-7644108,35888337520] 2
33984s (2 curves)	1	2+ 3- 59-	2+ 3-  0 -4  4  4  2 -4
Curve Equation t Generators 33984s1 [0,0,0,-2100,37024] 2 [8:144:1] 33984s2 [0,0,0,-1740,50128] 2 [2:216:1]
33984t (1 curve)	1	2+ 3- 59-	2+ 3- -1  1  0  2  6 -3
Curve Equation t Generators 33984t1 [0,0,0,132,-1136] 1 [60:472:1]
33984u (1 curve)	1	2+ 3- 59-	2+ 3- -1  1  4 -2 -2 -3
Curve Equation t Generators 33984u1 [0,0,0,-9948,381904] 1 [60:32:1]
33984v (1 curve)	1	2+ 3- 59-	2+ 3- -1 -3 -2  0 -2  5
Curve Equation t Generators 33984v1 [0,0,0,-48,-344] 1 [18:68:1]
33984w (4 curves)	1	2+ 3- 59-	2+ 3-  2  0  4  6 -2 -4
Curve Equation t Generators 33984w1 [0,0,0,-19884,1073968] 2 [-156:616:1] 33984w2 [0,0,0,-31404,-313040] 4 [-220308:787640:1331] 33984w3 [0,0,0,124116,-2490320] 2 [8099:230985:343] 33984w4 [0,0,0,-371244,-86904272] 2 [21755258222782:-2022538809640635:2504374712]
33984x (1 curve)	1	2+ 3- 59-	2+ 3-  2  1  1  1  1  0
Curve Equation t Generators 33984x1 [0,0,0,276,-3152] 1 [29:171:1]
33984y (1 curve)	1	2+ 3- 59-	2+ 3-  2 -3  1 -3  1  8
Curve Equation t Generators 33984y1 [0,0,0,31956,2974768] 1 [269:5571:1]
33984z (1 curve)	1	2+ 3- 59-	2+ 3- -4 -1 -3  1  7  4
Curve Equation t Generators 33984z1 [0,0,0,-2892,-183440] 1 [78:256:1]
33984ba (2 curves)	0	2- 3+ 59+	2- 3+  0  4  4  2  4  0
Curve Equation t 33984ba1 [0,0,0,-11340,-188784] 2 33984ba2 [0,0,0,-149580,-22251888] 2
33984bb (2 curves)	2	2- 3+ 59+	2- 3+ -2  0 -4  0  0 -4
Curve Equation t Generators 33984bb1 [0,0,0,-1836,27216] 2 [-36:216:1]&[-14:224:1] 33984bb2 [0,0,0,2484,136080] 2 [18:-432:1]&[13:413:1]
33984bc (2 curves)	2	2- 3+ 59+	2- 3+ -4 -4 -4 -2  4  0
Curve Equation t Generators 33984bc1 [0,0,0,-252,1520] 2 [-14:48:1]&[2:32:1] 33984bc2 [0,0,0,-492,-1840] 2 [-16:44:1]&[-14:48:1]
33984bd (2 curves)	1	2- 3+ 59-	2- 3+  0  4 -4  2 -4  0
Curve Equation t Generators 33984bd1 [0,0,0,-1260,6992] 2 [37:105:1] 33984bd2 [0,0,0,-16620,824144] 2 [26:640:1]
33984be (2 curves)	1	2- 3+ 59-	2- 3+  2  0  4  0  0 -4
Curve Equation t Generators 33984be1 [0,0,0,-204,-1008] 2 [21:63:1] 33984be2 [0,0,0,276,-5040] 2 [471:1925:27]
33984bf (2 curves)	1	2- 3+ 59-	2- 3+  4 -4  4 -2 -4  0
Curve Equation t Generators 33984bf1 [0,0,0,-2268,-41040] 2 [645:16335:1] 33984bf2 [0,0,0,-4428,49680] 2 [10:80:1]
33984bg (1 curve)	1	2- 3- 59+	2- 3-  0  3 -5 -1  3  0
Curve Equation t Generators 33984bg1 [0,0,0,-300,5776] 1 [2:-72:1]
33984bh (1 curve)	1	2- 3- 59+	2- 3-  1  3  0  0 -2 -3
Curve Equation t Generators 33984bh1 [0,0,0,-18612,978048] 1 [28:692:1]
33984bi (1 curve)	1	2- 3- 59+	2- 3- -1 -1  0  2  6  3
Curve Equation t Generators 33984bi1 [0,0,0,132,1136] 1 [8:52:1]
33984bj (1 curve)	1	2- 3- 59+	2- 3- -1 -1 -4 -2 -2  3
Curve Equation t Generators 33984bj1 [0,0,0,-9948,-381904] 1 [95832:556172:729]
33984bk (1 curve)	1	2- 3- 59+	2- 3- -1  3  2  0 -2 -5
Curve Equation t Generators 33984bk1 [0,0,0,-48,344] 1 [2:16:1]
33984bl (4 curves)	1	2- 3- 59+	2- 3-  2  0 -4  6 -2  4
Curve Equation t Generators 33984bl1 [0,0,0,-19884,-1073968] 2 [421:8073:1] 33984bl2 [0,0,0,-31404,313040] 4 [-318614:7080320:4913] 33984bl3 [0,0,0,124116,2490320] 2 [3785333305:101913253805:10793861] 33984bl4 [0,0,0,-371244,86904272] 2 [-214:12512:1]
33984bm (1 curve)	1	2- 3- 59+	2- 3-  2 -1 -1  1  1  0
Curve Equation t Generators 33984bm1 [0,0,0,276,3152] 1 [16:108:1]
33984bn (1 curve)	1	2- 3- 59+	2- 3-  2  3 -1 -3  1 -8
Curve Equation t Generators 33984bn1 [0,0,0,31956,-2974768] 1 [79408:1407204:343]
33984bo (1 curve)	1	2- 3- 59+	2- 3- -3 -5  0  4  6  1
Curve Equation t Generators 33984bo1 [0,0,0,-84,-704] 1 [12:4:1]
33984bp (1 curve)	1	2- 3- 59+	2- 3- -4  1  3  1  7 -4
Curve Equation t Generators 33984bp1 [0,0,0,-2892,183440] 1 [178:2304:1]
33984bq (2 curves)	2	2- 3- 59-	2- 3-  0  0 -4 -4 -6 -4
Curve Equation t Generators 33984bq1 [0,0,0,-1740,-21616] 2 [-32:36:1]&[-20:72:1] 33984bq2 [0,0,0,4020,-134512] 2 [82:-864:1]&[172:2376:1]
33984br (2 curves)	0	2- 3- 59-	2- 3-  0  1 -3 -5  3  8
Curve Equation t 33984br1 [0,0,0,5460,-118064] 1 33984br2 [0,0,0,-124140,-17028272] 1
33984bs (1 curve)	0	2- 3- 59-	2- 3-  0  1  5 -1 -1  0
Curve Equation t 33984bs1 [0,0,0,-412140,101842256] 1
33984bt (1 curve)	0	2- 3- 59-	2- 3-  0 -3  5 -1  3  0
Curve Equation t 33984bt1 [0,0,0,-300,-5776] 1
33984bu (1 curve)	0	2- 3- 59-	2- 3-  1 -3  0  0 -2  3
Curve Equation t 33984bu1 [0,0,0,-18612,-978048] 1
33984bv (2 curves)	0	2- 3- 59-	2- 3-  1 -3 -2  6  2 -5
Curve Equation t 33984bv1 [0,0,0,-14412,685712] 1 33984bv2 [0,0,0,66228,-34957168] 1
33984bw (1 curve)	2	2- 3- 59-	2- 3- -1 -3  4 -6  6 -7
Curve Equation t Generators 33984bw1 [0,0,0,72,216] 1 [-2:8:1]&[1:17:1]
33984bx (2 curves)	0	2- 3- 59-	2- 3- -2  0  4 -6  2  4
Curve Equation t 33984bx1 [0,0,0,384,8120] 2 33984bx2 [0,0,0,-4476,103376] 2
33984by (1 curve)	0	2- 3- 59-	2- 3- -2  3  1  3 -7  4
Curve Equation t 33984by1 [0,0,0,-2316,-43504] 1
33984bz (2 curves)	0	2- 3- 59-	2- 3-  3  1 -6  4  6  5
Curve Equation t 33984bz1 [0,0,0,-336,2392] 1 33984bz2 [0,0,0,1104,12472] 1
33984ca (1 curve)	0	2- 3- 59-	2- 3- -3  1  2  2  2  3
Curve Equation t 33984ca1 [0,0,0,276,10064] 1
33984cb (1 curve)	0	2- 3- 59-	2- 3- -3 -3 -6  6  2 -1
Curve Equation t 33984cb1 [0,0,0,-684,-7344] 1
33984cc (1 curve)	0	2- 3- 59-	2- 3- -3  5  0  4  6 -1
Curve Equation t 33984cc1 [0,0,0,-84,704] 1
33984cd (2 curves)	0	2- 3- 59-	2- 3-  4  0  4  0  2  4
Curve Equation t 33984cd1 [0,0,0,-13542348,-19125539440] 2 33984cd2 [0,0,0,-7644108,-35888337520] 2

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