Cremona's table of elliptic curves

64192 = 2⁶ · 17 · 59

Class	r	Atkin-Lehner	Eigenvalues
64192a (2 curves)	1	2+ 17+ 59+	2+  0  2  4 -2 -2 17+  4
Curve Equation t Generators 64192a1 [0,0,0,56,-120] 2 [7854:39360:343] 64192a2 [0,0,0,-284,-1072] 2 [94:896:1]
64192b (1 curve)	1	2+ 17+ 59+	2+  1  3  1 -2  2 17+ -1
Curve Equation t Generators 64192b1 [0,1,0,11,-197] 1 [6:11:1]
64192c (1 curve)	1	2+ 17+ 59+	2+  1  3 -3  4  0 17+ -1
Curve Equation t Generators 64192c1 [0,1,0,-1009,-49361] 1 [705:18712:1]
64192d (1 curve)	1	2+ 17+ 59+	2+  1 -3 -1  0  0 17+  3
Curve Equation t Generators 64192d1 [0,1,0,103,71] 1 [2:17:1]
64192e (2 curves)	1	2+ 17+ 59+	2+ -2  2  2  0 -2 17+  4
Curve Equation t Generators 64192e1 [0,1,0,-337,1743] 2 [-13:64:1] 64192e2 [0,1,0,-5057,136735] 2 [105:880:1]
64192f (1 curve)	1	2+ 17+ 59+	2+ -2 -2 -2 -3  2 17+  3
Curve Equation t Generators 64192f1 [0,1,0,-2309,-43613] 1 [646:16385:1]
64192g (2 curves)	0	2+ 17+ 59-	2+  0  0  2 -4  2 17+  4
Curve Equation t 64192g1 [0,0,0,-78860,-8523792] 2 64192g2 [0,0,0,-78220,-8668944] 2
64192h (2 curves)	0	2+ 17+ 59-	2+  0 -2  0 -2  6 17+  4
Curve Equation t 64192h1 [0,0,0,-6236,-187824] 2 64192h2 [0,0,0,-1516,-465360] 2
64192i (1 curve)	0	2+ 17+ 59-	2+  1 -1 -1  2 -2 17+ -7
Curve Equation t 64192i1 [0,1,0,-1034109761,-12799994114017] 1
64192j (1 curve)	0	2+ 17+ 59-	2+  1 -1 -1  2 -2 17+ -7
Curve Equation t 64192j1 [0,1,0,64159,-27268609] 1
64192k (1 curve)	0	2+ 17+ 59-	2+  1  3  3 -2 -6 17+ -7
Curve Equation t 64192k1 [0,1,0,25951,-106177] 1
64192l (1 curve)	2	2+ 17+ 59-	2+ -1 -3  1  0  0 17+ -3
Curve Equation t Generators 64192l1 [0,-1,0,103,-71] 1 [3:16:1]&[15:68:1]
64192m (2 curves)	0	2+ 17+ 59-	2+ -2  2  2 -4 -2 17+ -4
Curve Equation t 64192m1 [0,1,0,-1973697,1060828063] 2 64192m2 [0,1,0,-3182017,-393264225] 2
64192n (1 curve)	0	2+ 17+ 59-	2+ -2  2  2  5 -2 17+  5
Curve Equation t 64192n1 [0,1,0,3,13] 1
64192o (1 curve)	0	2+ 17+ 59-	2+  3 -1 -1  0 -4 17+  1
Curve Equation t 64192o1 [0,0,0,-88,-376] 1
64192p (1 curve)	0	2+ 17+ 59-	2+  3  3 -1  2  2 17+  1
Curve Equation t 64192p1 [0,0,0,-736,7688] 1
64192q (1 curve)	0	2+ 17+ 59-	2+ -3 -1 -1  6  2 17+  1
Curve Equation t 64192q1 [0,0,0,-467308,123210544] 1
64192r (1 curve)	0	2+ 17- 59+	2+  0  2 -2  3 -4 17-  1
Curve Equation t 64192r1 [0,0,0,-164,1082] 1
64192s (1 curve)	0	2+ 17- 59+	2+  1  3  1  4  0 17-  7
Curve Equation t 64192s1 [0,1,0,-76029,-8124637] 1
64192t (1 curve)	2	2+ 17- 59+	2+  1 -3  1  4 -6 17-  1
Curve Equation t Generators 64192t1 [0,1,0,-1297,22159] 1 [-30:187:1]&[21:68:1]
64192u (1 curve)	2	2+ 17- 59+	2+ -1 -1 -1 -4 -2 17-  5
Curve Equation t Generators 64192u1 [0,-1,0,-221,1357] 1 [9:4:1]&[12:17:1]
64192v (2 curves)	0	2+ 17- 59+	2+ -2  4  4  0  2 17-  0
Curve Equation t 64192v1 [0,1,0,-5921,-169793] 2 64192v2 [0,1,0,3519,-651233] 2
64192w (2 curves)	1	2+ 17- 59-	2+  0  0  2  6  2 17-  4
Curve Equation t Generators 64192w1 [0,0,0,-2540,47792] 2 [-8:260:1] 64192w2 [0,0,0,-40300,3113904] 2 [17880:65676:125]
64192x (1 curve)	1	2+ 17- 59-	2+  1  1 -1  6  4 17- -5
Curve Equation t Generators 64192x1 [0,1,0,255,-289] 1 [34:221:1]
64192y (1 curve)	1	2+ 17- 59-	2+  1  1 -5  2  4 17-  7
Curve Equation t Generators 64192y1 [0,1,0,-5665,162367] 1 [42:17:1]
64192z (1 curve)	1	2+ 17- 59-	2+  1 -2  4  2  7 17- -8
Curve Equation t Generators 64192z1 [0,1,0,-3730793889,-87711422883649] 1 [88493717629157293326652826131:3035912022524323967667519684608:1245430822822858876646161]
64192ba (1 curve)	1	2+ 17- 59-	2+  1 -2 -4 -6 -5 17- -8
Curve Equation t Generators 64192ba1 [0,1,0,-69089,-7271809] 1 [1475:55696:1]
64192bb (1 curve)	1	2+ 17- 59-	2+  1  3  1 -4  2 17- -1
Curve Equation t Generators 64192bb1 [0,1,0,-769,-15521] 1 [7545:50252:125]
64192bc (1 curve)	1	2+ 17- 59-	2+ -1 -1  3 -4  0 17- -7
Curve Equation t Generators 64192bc1 [0,-1,0,-481,-5023] 1 [47:272:1]
64192bd (2 curves)	1	2+ 17- 59-	2+ -1  3 -1  0  4 17-  1
Curve Equation t Generators 64192bd1 [0,-1,0,1951,-3718943] 1 [4773:39304:27] 64192bd2 [0,-1,0,-1755169,-894504799] 1 [136965:9380872:27]
64192be (1 curve)	1	2+ 17- 59-	2+  3  1 -5  2 -4 17-  3
Curve Equation t Generators 64192be1 [0,0,0,-112,-3448] 1 [642:2312:27]
64192bf (1 curve)	1	2+ 17- 59-	2+  3  3 -1  0 -4 17-  1
Curve Equation t Generators 64192bf1 [0,0,0,11924,-653392] 1 [66740700:961311376:421875]
64192bg (1 curve)	1	2+ 17- 59-	2+ -3  1  3 -2  0 17-  7
Curve Equation t Generators 64192bg1 [0,0,0,-1453612,-674560592] 1 [2893:139043:1]
64192bh (1 curve)	1	2+ 17- 59-	2+ -3 -1  1  0  2 17- -5
Curve Equation t Generators 64192bh1 [0,0,0,4052,-161744] 1 [248:4012:1]
64192bi (1 curve)	1	2+ 17- 59-	2+ -3 -2  4  2 -1 17-  0
Curve Equation t Generators 64192bi1 [0,0,0,-1996,35440] 1 [-18:256:1]
64192bj (2 curves)	0	2- 17+ 59+	2-  0  0 -2  4  2 17+ -4
Curve Equation t 64192bj1 [0,0,0,-78860,8523792] 2 64192bj2 [0,0,0,-78220,8668944] 2
64192bk (2 curves)	2	2- 17+ 59+	2-  0 -2  0  2  6 17+ -4
Curve Equation t Generators 64192bk1 [0,0,0,-6236,187824] 2 [-76:472:1]&[24:228:1] 64192bk2 [0,0,0,-1516,465360] 2 [-68:504:1]&[85:975:1]
64192bl (1 curve)	0	2- 17+ 59+	2- -1 -1  1 -2 -2 17+  7
Curve Equation t 64192bl1 [0,-1,0,-1034109761,12799994114017] 1
64192bm (1 curve)	0	2- 17+ 59+	2- -1 -1  1 -2 -2 17+  7
Curve Equation t 64192bm1 [0,-1,0,64159,27268609] 1
64192bn (1 curve)	0	2- 17+ 59+	2- -1  3 -3  2 -6 17+  7
Curve Equation t 64192bn1 [0,-1,0,25951,106177] 1
64192bo (2 curves)	0	2- 17+ 59+	2-  2  0 -4  6 -2 17+  8
Curve Equation t 64192bo1 [0,-1,0,-15833,158873] 2 64192bo2 [0,-1,0,-155073,-23316991] 2
64192bp (2 curves)	0	2- 17+ 59+	2-  2  2 -2  4 -2 17+  4
Curve Equation t 64192bp1 [0,-1,0,-1973697,-1060828063] 2 64192bp2 [0,-1,0,-3182017,393264225] 2
64192bq (1 curve)	0	2- 17+ 59+	2-  2  2 -2 -5 -2 17+ -5
Curve Equation t 64192bq1 [0,-1,0,3,-13] 1
64192br (1 curve)	0	2- 17+ 59+	2-  3 -1  1 -6  2 17+ -1
Curve Equation t 64192br1 [0,0,0,-467308,-123210544] 1
64192bs (1 curve)	2	2- 17+ 59+	2- -3 -1  1  0 -4 17+ -1
Curve Equation t Generators 64192bs1 [0,0,0,-88,376] 1 [-10:16:1]&[1:17:1]
64192bt (1 curve)	0	2- 17+ 59+	2- -3  3  1 -2  2 17+ -1
Curve Equation t 64192bt1 [0,0,0,-736,-7688] 1
64192bu (2 curves)	1	2- 17+ 59-	2-  0  2 -4  2 -2 17+ -4
Curve Equation t Generators 64192bu1 [0,0,0,56,120] 2 [290:1785:8] 64192bu2 [0,0,0,-284,1072] 2 [-14:48:1]
64192bv (1 curve)	1	2- 17+ 59-	2- -1  3 -1  2  2 17+  1
Curve Equation t Generators 64192bv1 [0,-1,0,11,197] 1 [4:17:1]
64192bw (1 curve)	1	2- 17+ 59-	2- -1  3  3 -4  0 17+  1
Curve Equation t Generators 64192bw1 [0,-1,0,-1009,49361] 1 [35:236:1]
64192bx (2 curves)	1	2- 17+ 59-	2-  2  2 -2  0 -2 17+ -4
Curve Equation t Generators 64192bx1 [0,-1,0,-337,-1743] 2 [-159:44:27] 64192bx2 [0,-1,0,-5057,-136735] 2 [18472:2510475:1]
64192by (1 curve)	1	2- 17+ 59-	2-  2 -2  2  3  2 17+ -3
Curve Equation t Generators 64192by1 [0,-1,0,-2309,43613] 1 [10444:8469:343]
64192bz (2 curves)	1	2- 17+ 59-	2- -2  0  4 -6 -2 17+ -8
Curve Equation t Generators 64192bz1 [0,1,0,-15833,-158873] 2 [-62:767:1] 64192bz2 [0,1,0,-155073,23316991] 2 [410:5369:1]
64192ca (2 curves)	1	2- 17- 59+	2-  0  0 -2 -6  2 17- -4
Curve Equation t Generators 64192ca1 [0,0,0,-2540,-47792] 2 [117:1121:1] 64192ca2 [0,0,0,-40300,-3113904] 2 [245:1311:1]
64192cb (1 curve)	1	2- 17- 59+	2-  1 -1 -3  4  0 17-  7
Curve Equation t Generators 64192cb1 [0,1,0,-481,5023] 1 [21:68:1]
64192cc (2 curves)	1	2- 17- 59+	2-  1  3  1  0  4 17- -1
Curve Equation t Generators 64192cc1 [0,1,0,1951,3718943] 1 [-139:884:1] 64192cc2 [0,1,0,-1755169,894504799] 1 [-21705:1141244:27]
64192cd (1 curve)	1	2- 17- 59+	2- -1  1  1 -6  4 17-  5
Curve Equation t Generators 64192cd1 [0,-1,0,255,289] 1 [0:17:1]
64192ce (1 curve)	1	2- 17- 59+	2- -1  1  5 -2  4 17- -7
Curve Equation t Generators 64192ce1 [0,-1,0,-5665,-162367] 1 [2168:100861:1]
64192cf (1 curve)	1	2- 17- 59+	2- -1 -2  4  6 -5 17-  8
Curve Equation t Generators 64192cf1 [0,-1,0,-69089,7271809] 1 [141:560:1]
64192cg (1 curve)	1	2- 17- 59+	2- -1 -2 -4 -2  7 17-  8
Curve Equation t Generators 64192cg1 [0,-1,0,-3730793889,87711422883649] 1 [969231:5570560:27]
64192ch (1 curve)	1	2- 17- 59+	2- -1  3  1  4  4 17- -5
Curve Equation t Generators 64192ch1 [0,-1,0,-969,13801] 1 [-5:136:1]
64192ci (1 curve)	1	2- 17- 59+	2- -1  3 -1  4  2 17-  1
Curve Equation t Generators 64192ci1 [0,-1,0,-769,15521] 1 [-25:136:1]
64192cj (1 curve)	1	2- 17- 59+	2-  3  1 -3  2  0 17- -7
Curve Equation t Generators 64192cj1 [0,0,0,-1453612,674560592] 1 [18687:4913:27]
64192ck (1 curve)	1	2- 17- 59+	2-  3 -1 -1  0  2 17-  5
Curve Equation t Generators 64192ck1 [0,0,0,4052,161744] 1 [6564:106352:27]
64192cl (1 curve)	1	2- 17- 59+	2-  3 -2 -4 -2 -1 17-  0
Curve Equation t Generators 64192cl1 [0,0,0,-1996,-35440] 1 [43074:167680:729]
64192cm (1 curve)	1	2- 17- 59+	2- -3  1  5 -2 -4 17- -3
Curve Equation t Generators 64192cm1 [0,0,0,-112,3448] 1 [14:68:1]
64192cn (1 curve)	1	2- 17- 59+	2- -3  3  1  0 -4 17- -1
Curve Equation t Generators 64192cn1 [0,0,0,11924,653392] 1 [48:1156:1]
64192co (1 curve)	0	2- 17- 59-	2-  0  2  2 -3 -4 17- -1
Curve Equation t 64192co1 [0,0,0,-164,-1082] 1
64192cp (1 curve)	0	2- 17- 59-	2-  1 -1  1  4 -2 17- -5
Curve Equation t 64192cp1 [0,1,0,-221,-1357] 1
64192cq (1 curve)	0	2- 17- 59-	2-  1  3 -1 -4  4 17-  5
Curve Equation t 64192cq1 [0,1,0,-969,-13801] 1
64192cr (1 curve)	2	2- 17- 59-	2- -1  3 -1 -4  0 17- -7
Curve Equation t Generators 64192cr1 [0,-1,0,-76029,8124637] 1 [-171:4012:1]&[124:767:1]
64192cs (1 curve)	2	2- 17- 59-	2- -1 -3 -1 -4 -6 17- -1
Curve Equation t Generators 64192cs1 [0,-1,0,-1297,-22159] 1 [47:136:1]&[64:391:1]
64192ct (2 curves)	0	2- 17- 59-	2-  2  4 -4  0  2 17-  0
Curve Equation t 64192ct1 [0,-1,0,-5921,169793] 2 64192ct2 [0,-1,0,3519,651233] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations