Cremona's table of elliptic curves

16704 = 2⁶ · 3² · 29

Class	r	Atkin-Lehner	Eigenvalues
16704a (1 curve)	1	2+ 3+ 29+	2+ 3+  0  1  5  3 -5  2
Curve Equation t Generators 16704a1 [0,0,0,-1380,41256] 1 [-3:213:1]
16704b (1 curve)	1	2+ 3+ 29+	2+ 3+  0 -1  3 -1  7  6
Curve Equation t Generators 16704b1 [0,0,0,-60,184] 1 [5:3:1]
16704c (2 curves)	1	2+ 3+ 29+	2+ 3+ -2  4  0 -2 -2  0
Curve Equation t Generators 16704c1 [0,0,0,-130956,18295024] 2 [-124:5712:1] 16704c2 [0,0,0,-2097036,1168845040] 2 [3678:207872:1]
16704d (2 curves)	1	2+ 3+ 29+	2+ 3+ -2 -4  0 -2  6  0
Curve Equation t Generators 16704d1 [0,0,0,84,176] 2 [4:24:1] 16704d2 [0,0,0,-396,1520] 2 [-2:48:1]
16704e (2 curves)	1	2+ 3+ 29+	2+ 3+  3 -1  0 -2  3 -5
Curve Equation t Generators 16704e1 [0,0,0,-396,-28432] 1 [37:87:1] 16704e2 [0,0,0,-83916,-9356688] 1 [2674389:50645223:4913]
16704f (1 curve)	1	2+ 3+ 29+	2+ 3+  3 -5 -4  6  1  5
Curve Equation t Generators 16704f1 [0,0,0,84,3888] 1 [22:128:1]
16704g (1 curve)	1	2+ 3+ 29+	2+ 3+  4  1 -3 -5 -5  6
Curve Equation t Generators 16704g1 [0,0,0,12,40] 1 [5:15:1]
16704h (1 curve)	0	2+ 3+ 29-	2+ 3+  0  1 -5  3  5  2
Curve Equation t 16704h1 [0,0,0,-12420,-1113912] 1
16704i (1 curve)	0	2+ 3+ 29-	2+ 3+  0 -1 -3 -1 -7  6
Curve Equation t 16704i1 [0,0,0,-540,-4968] 1
16704j (2 curves)	0	2+ 3+ 29-	2+ 3+  2  4  0 -2  2  0
Curve Equation t 16704j1 [0,0,0,-1178604,-493965648] 2 16704j2 [0,0,0,-18873324,-31558816080] 2
16704k (2 curves)	0	2+ 3+ 29-	2+ 3+  2 -4  0 -2 -6  0
Curve Equation t 16704k1 [0,0,0,756,-4752] 2 16704k2 [0,0,0,-3564,-41040] 2
16704l (2 curves)	2	2+ 3+ 29-	2+ 3+ -3 -1  0 -2 -3 -5
Curve Equation t Generators 16704l1 [0,0,0,-9324,346544] 1 [-58:832:1]&[13:477:1] 16704l2 [0,0,0,-3564,767664] 1 [-75:783:1]&[6:864:1]
16704m (1 curve)	0	2+ 3+ 29-	2+ 3+ -3 -5  4  6 -1  5
Curve Equation t 16704m1 [0,0,0,756,-104976] 1
16704n (1 curve)	0	2+ 3+ 29-	2+ 3+ -4  1  3 -5  5  6
Curve Equation t 16704n1 [0,0,0,108,-1080] 1
16704o (1 curve)	0	2+ 3- 29+	2+ 3-  0 -1 -3 -1  1  0
Curve Equation t 16704o1 [0,0,0,-3180,-69032] 1
16704p (1 curve)	0	2+ 3- 29+	2+ 3-  1  1  6  4  7  3
Curve Equation t 16704p1 [0,0,0,-2892,65392] 1
16704q (1 curve)	0	2+ 3- 29+	2+ 3-  1  2  3  1  0  0
Curve Equation t 16704q1 [0,0,0,-2892,59888] 1
16704r (2 curves)	0	2+ 3- 29+	2+ 3-  1 -2 -3  1 -8  0
Curve Equation t 16704r1 [0,0,0,2868,-98192] 1 16704r2 [0,0,0,-262092,51995248] 1
16704s (1 curve)	0	2+ 3- 29+	2+ 3-  1 -3 -2 -4 -5 -5
Curve Equation t 16704s1 [0,0,0,-213132,-37889552] 1
16704t (4 curves)	0	2+ 3- 29+	2+ 3-  2  0 -4 -6  2 -4
Curve Equation t 16704t1 [0,0,0,276,24752] 2 16704t2 [0,0,0,-11244,444080] 4 16704t3 [0,0,0,-28524,-1249360] 2 16704t4 [0,0,0,-178284,28974512] 2
16704u (1 curve)	0	2+ 3- 29+	2+ 3- -2  1  3 -5  1 -6
Curve Equation t 16704u1 [0,0,0,-3396,-851384] 1
16704v (1 curve)	0	2+ 3- 29+	2+ 3- -2 -1 -3  7 -3  6
Curve Equation t 16704v1 [0,0,0,-156,-1384] 1
16704w (2 curves)	0	2+ 3- 29+	2+ 3- -2  4 -6 -2 -2  6
Curve Equation t 16704w1 [0,0,0,-336,-2360] 2 16704w2 [0,0,0,-156,-4880] 2
16704x (1 curve)	0	2+ 3- 29+	2+ 3-  3  4 -1  3 -2 -4
Curve Equation t 16704x1 [0,0,0,-173916,27916272] 1
16704y (2 curves)	0	2+ 3- 29+	2+ 3-  3 -4  3 -5  6  4
Curve Equation t 16704y1 [0,0,0,-156,-1168] 1 16704y2 [0,0,0,1284,18992] 1
16704z (1 curve)	2	2+ 3- 29+	2+ 3- -3  1 -2 -4 -7 -7
Curve Equation t Generators 16704z1 [0,0,0,276,4016] 1 [-10:16:1]&[4:72:1]
16704ba (1 curve)	0	2+ 3- 29+	2+ 3- -3  2 -3  5  4  0
Curve Equation t 16704ba1 [0,0,0,276,304] 1
16704bb (1 curve)	0	2+ 3- 29+	2+ 3- -3 -2 -1 -3  4  8
Curve Equation t 16704bb1 [0,0,0,-684,-9936] 1
16704bc (2 curves)	0	2+ 3- 29+	2+ 3- -3  5  6  4 -3  1
Curve Equation t 16704bc1 [0,0,0,-4437804,-16963904464] 1 16704bc2 [0,0,0,39652116,439825302704] 1
16704bd (1 curve)	0	2+ 3- 29+	2+ 3-  4  3  1 -1  1  4
Curve Equation t 16704bd1 [0,0,0,-1308,21400] 1
16704be (1 curve)	0	2+ 3- 29+	2+ 3- -4 -3 -1  3  5 -4
Curve Equation t 16704be1 [0,0,0,-1812,-31480] 1
16704bf (1 curve)	1	2+ 3- 29-	2+ 3-  0 -3 -3  3 -1  4
Curve Equation t Generators 16704bf1 [0,0,0,60,-344] 1 [5:9:1]
16704bg (1 curve)	1	2+ 3- 29-	2+ 3-  0 -5 -5 -1  3  4
Curve Equation t Generators 16704bg1 [0,0,0,420,-1096] 1 [13:81:1]
16704bh (2 curves)	1	2+ 3- 29-	2+ 3- -1  1 -2  0  3  1
Curve Equation t Generators 16704bh1 [0,0,0,-588,-1895056] 1 [229:3159:1] 16704bh2 [0,0,0,-3750348,2803651184] 1 [1237:7569:1]
16704bi (1 curve)	1	2+ 3- 29-	2+ 3-  2  1  1  3  3 -2
Curve Equation t Generators 16704bi1 [0,0,0,-84,488] 1 [-11:9:1]
16704bj (1 curve)	1	2+ 3- 29-	2+ 3- -2  3 -5 -1  7 -2
Curve Equation t Generators 16704bj1 [0,0,0,2004,301624] 1 [365:7047:1]
16704bk (1 curve)	1	2+ 3- 29-	2+ 3-  3 -3  6  0 -7 -5
Curve Equation t Generators 16704bk1 [0,0,0,-32556,2329648] 1 [-138:2048:1]
16704bl (1 curve)	0	2- 3+ 29+	2- 3+  0  1 -3 -1  7 -6
Curve Equation t 16704bl1 [0,0,0,-60,-184] 1
16704bm (1 curve)	0	2- 3+ 29+	2- 3+  0 -1 -5  3 -5 -2
Curve Equation t 16704bm1 [0,0,0,-1380,-41256] 1
16704bn (1 curve)	0	2- 3+ 29+	2- 3+ -1  3  4  2 -3  5
Curve Equation t 16704bn1 [0,0,0,-108,-496] 1
16704bo (1 curve)	2	2- 3+ 29+	2- 3+ -1 -3 -4  2 -3 -5
Curve Equation t Generators 16704bo1 [0,0,0,-108,496] 1 [-10:24:1]&[5:9:1]
16704bp (2 curves)	0	2- 3+ 29+	2- 3+ -2  4  0 -2  6  0
Curve Equation t 16704bp1 [0,0,0,84,-176] 2 16704bp2 [0,0,0,-396,-1520] 2
16704bq (2 curves)	0	2- 3+ 29+	2- 3+ -2 -4  0 -2 -2  0
Curve Equation t 16704bq1 [0,0,0,-130956,-18295024] 2 16704bq2 [0,0,0,-2097036,-1168845040] 2
16704br (2 curves)	0	2- 3+ 29+	2- 3+  3  1  0 -2  3  5
Curve Equation t 16704br1 [0,0,0,-396,28432] 1 16704br2 [0,0,0,-83916,9356688] 1
16704bs (1 curve)	0	2- 3+ 29+	2- 3+  3  5  4  6  1 -5
Curve Equation t 16704bs1 [0,0,0,84,-3888] 1
16704bt (1 curve)	0	2- 3+ 29+	2- 3+  4 -1  3 -5 -5 -6
Curve Equation t 16704bt1 [0,0,0,12,-40] 1
16704bu (1 curve)	1	2- 3+ 29-	2- 3+  0  1  3 -1 -7 -6
Curve Equation t Generators 16704bu1 [0,0,0,-540,4968] 1 [-3:81:1]
16704bv (1 curve)	1	2- 3+ 29-	2- 3+  0 -1  5  3  5 -2
Curve Equation t Generators 16704bv1 [0,0,0,-12420,1113912] 1 [189:2349:1]
16704bw (1 curve)	1	2- 3+ 29-	2- 3+  1  3 -4  2  3  5
Curve Equation t Generators 16704bw1 [0,0,0,-972,13392] 1 [42:216:1]
16704bx (1 curve)	1	2- 3+ 29-	2- 3+  1 -3  4  2  3 -5
Curve Equation t Generators 16704bx1 [0,0,0,-972,-13392] 1 [93:837:1]
16704by (2 curves)	1	2- 3+ 29-	2- 3+  2  4  0 -2 -6  0
Curve Equation t Generators 16704by1 [0,0,0,756,4752] 2 [394:7840:1] 16704by2 [0,0,0,-3564,41040] 2 [10:80:1]
16704bz (2 curves)	1	2- 3+ 29-	2- 3+  2 -4  0 -2  2  0
Curve Equation t Generators 16704bz1 [0,0,0,-1178604,493965648] 2 [212880:7316676:125] 16704bz2 [0,0,0,-18873324,31558816080] 2 [-230:189440:1]
16704ca (2 curves)	1	2- 3+ 29-	2- 3+ -3  1  0 -2 -3  5
Curve Equation t Generators 16704ca1 [0,0,0,-9324,-346544] 1 [122:576:1] 16704ca2 [0,0,0,-3564,-767664] 1 [858:25056:1]
16704cb (1 curve)	1	2- 3+ 29-	2- 3+ -3  5 -4  6 -1 -5
Curve Equation t Generators 16704cb1 [0,0,0,756,104976] 1 [0:324:1]
16704cc (1 curve)	1	2- 3+ 29-	2- 3+ -4 -1 -3 -5  5 -6
Curve Equation t Generators 16704cc1 [0,0,0,108,1080] 1 [-3:27:1]
16704cd (1 curve)	1	2- 3- 29+	2- 3-  0  1  3 -1  1  0
Curve Equation t Generators 16704cd1 [0,0,0,-3180,69032] 1 [37:45:1]
16704ce (1 curve)	1	2- 3- 29+	2- 3-  1 -1 -6  4  7 -3
Curve Equation t Generators 16704ce1 [0,0,0,-2892,-65392] 1 [64:108:1]
16704cf (2 curves)	1	2- 3- 29+	2- 3-  1  2  3  1 -8  0
Curve Equation t Generators 16704cf1 [0,0,0,2868,98192] 1 [722:19456:1] 16704cf2 [0,0,0,-262092,-51995248] 1 [1235619110:25051918912:1520875]
16704cg (1 curve)	1	2- 3- 29+	2- 3-  1 -2 -3  1  0  0
Curve Equation t Generators 16704cg1 [0,0,0,-2892,-59888] 1 [186:2416:1]
16704ch (1 curve)	1	2- 3- 29+	2- 3-  1  3  2 -4 -5  5
Curve Equation t Generators 16704ch1 [0,0,0,-213132,37889552] 1 [256:324:1]
16704ci (1 curve)	1	2- 3- 29+	2- 3- -1  0  5 -1  6  4
Curve Equation t Generators 16704ci1 [0,0,0,-3,-56] 1 [120:116:27]
16704cj (1 curve)	1	2- 3- 29+	2- 3- -1  0 -5 -1  6 -4
Curve Equation t Generators 16704cj1 [0,0,0,-3,56] 1 [-4:2:1]
16704ck (4 curves)	1	2- 3- 29+	2- 3-  2  0  4  2 -6 -4
Curve Equation t Generators 16704ck1 [0,0,0,-9399,-350728] 2 [-1310037586:-1223435:23393656] 16704ck2 [0,0,0,-9444,-347200] 4 [117562:40308840:1] 16704ck3 [0,0,0,-19884,558992] 2 [274:3960:1] 16704ck4 [0,0,0,276,-1027600] 2 [27533285:-24290937:274625]
16704cl (4 curves)	1	2- 3- 29+	2- 3-  2  0  4 -6  2  4
Curve Equation t Generators 16704cl1 [0,0,0,276,-24752] 2 [176:2340:1] 16704cl2 [0,0,0,-11244,-444080] 4 [23920:262548:125] 16704cl3 [0,0,0,-178284,-28974512] 2 [-712473333:14066905:2924207] 16704cl4 [0,0,0,-28524,1249360] 2 [-102:1760:1]
16704cm (4 curves)	1	2- 3- 29+	2- 3-  2  0 -4  2 -6  4
Curve Equation t Generators 16704cm1 [0,0,0,-9399,350728] 2 [4498:105165:8] 16704cm2 [0,0,0,-9444,347200] 4 [-100:540:1] 16704cm3 [0,0,0,-19884,-558992] 2 [-3048:13420:27] 16704cm4 [0,0,0,276,1027600] 2 [50:1080:1]
16704cn (1 curve)	1	2- 3- 29+	2- 3- -2  1  3  7 -3 -6
Curve Equation t Generators 16704cn1 [0,0,0,-156,1384] 1 [5:27:1]
16704co (1 curve)	1	2- 3- 29+	2- 3- -2 -1 -3 -5  1  6
Curve Equation t Generators 16704co1 [0,0,0,-3396,851384] 1 [-35:963:1]
16704cp (2 curves)	1	2- 3- 29+	2- 3- -2 -4  6 -2 -2 -6
Curve Equation t Generators 16704cp1 [0,0,0,-336,2360] 2 [1:45:1] 16704cp2 [0,0,0,-156,4880] 2 [-2:72:1]
16704cq (2 curves)	1	2- 3- 29+	2- 3-  3  4 -3 -5  6 -4
Curve Equation t Generators 16704cq1 [0,0,0,-156,1168] 1 [12:32:1] 16704cq2 [0,0,0,1284,-18992] 1 [2220:12128:125]
16704cr (1 curve)	1	2- 3- 29+	2- 3-  3 -4  1  3 -2  4
Curve Equation t Generators 16704cr1 [0,0,0,-173916,-27916272] 1 [195639754472588:981830260028008:396903329549]
16704cs (1 curve)	1	2- 3- 29+	2- 3- -3 -1  2 -4 -7  7
Curve Equation t Generators 16704cs1 [0,0,0,276,-4016] 1 [26:144:1]
16704ct (1 curve)	1	2- 3- 29+	2- 3- -3  2  1 -3  4 -8
Curve Equation t Generators 16704ct1 [0,0,0,-684,9936] 1 [10:64:1]
16704cu (1 curve)	1	2- 3- 29+	2- 3- -3 -2  3  5  4  0
Curve Equation t Generators 16704cu1 [0,0,0,276,-304] 1 [2:16:1]
16704cv (2 curves)	1	2- 3- 29+	2- 3- -3 -5 -6  4 -3 -1
Curve Equation t Generators 16704cv1 [0,0,0,-4437804,16963904464] 1 [650:119808:1] 16704cv2 [0,0,0,39652116,-439825302704] 1 [2453744374:1102432960512:12167]
16704cw (1 curve)	1	2- 3- 29+	2- 3-  4 -3 -1 -1  1 -4
Curve Equation t Generators 16704cw1 [0,0,0,-1308,-21400] 1 [5125:366885:1]
16704cx (1 curve)	1	2- 3- 29+	2- 3- -4  3  1  3  5  4
Curve Equation t Generators 16704cx1 [0,0,0,-1812,31480] 1 [-19:243:1]
16704cy (1 curve)	0	2- 3- 29-	2- 3-  0  3  3  3 -1 -4
Curve Equation t 16704cy1 [0,0,0,60,344] 1
16704cz (1 curve)	0	2- 3- 29-	2- 3-  0  5  5 -1  3 -4
Curve Equation t 16704cz1 [0,0,0,420,1096] 1
16704da (1 curve)	0	2- 3- 29-	2- 3- -1  1  6 -4 -3 -1
Curve Equation t 16704da1 [0,0,0,852,-17264] 1
16704db (2 curves)	0	2- 3- 29-	2- 3- -1 -1  2  0  3 -1
Curve Equation t 16704db1 [0,0,0,-588,1895056] 1 16704db2 [0,0,0,-3750348,-2803651184] 1
16704dc (1 curve)	2	2- 3- 29-	2- 3- -1 -1 -6 -4 -3  1
Curve Equation t Generators 16704dc1 [0,0,0,852,17264] 1 [-11:81:1]&[-10:88:1]
16704dd (1 curve)	0	2- 3- 29-	2- 3-  2 -1 -1  3  3  2
Curve Equation t 16704dd1 [0,0,0,-84,-488] 1
16704de (1 curve)	0	2- 3- 29-	2- 3- -2 -3  5 -1  7  2
Curve Equation t 16704de1 [0,0,0,2004,-301624] 1
16704df (1 curve)	0	2- 3- 29-	2- 3-  3  3 -6  0 -7  5
Curve Equation t 16704df1 [0,0,0,-32556,-2329648] 1

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

Part of Computational Number Theory
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