Cremona's table of elliptic curves

108576 = 2⁵ · 3² · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
108576a (2 curves)	1	2+ 3+ 13+ 29+	2+ 3+  2  0  0 13+ -2  4
Curve Equation t Generators 108576a1 [0,0,0,-309,2772] 2 [4:40:1] 108576a2 [0,0,0,-5379,151830] 2 [13:290:1]
108576b (2 curves)	1	2+ 3+ 13+ 29+	2+ 3+  4  0 -4 13+  2  2
Curve Equation t Generators 108576b1 [0,0,0,27,3780] 2 [530:4355:8] 108576b2 [0,0,0,-3483,77490] 2 [74890:486487:1000]
108576c (2 curves)	0	2+ 3+ 13+ 29-	2+ 3+ -2  0  0 13+  2 -4
Curve Equation t 108576c1 [0,0,0,-2781,74844] 2 108576c2 [0,0,0,-48411,4099410] 2
108576d (2 curves)	2	2+ 3+ 13+ 29-	2+ 3+ -4  0 -4 13+ -2 -2
Curve Equation t Generators 108576d1 [0,0,0,3,140] 2 [-4:8:1]&[1:12:1] 108576d2 [0,0,0,-387,2870] 2 [-19:58:1]&[14:14:1]
108576e (2 curves)	0	2+ 3- 13+ 29+	2+ 3-  2  0  4 13+  6  0
Curve Equation t 108576e1 [0,0,0,-309,1960] 2 108576e2 [0,0,0,276,8512] 2
108576f (2 curves)	0	2+ 3- 13+ 29+	2+ 3-  2  0 -4 13+  6  0
Curve Equation t 108576f1 [0,0,0,-309,-1960] 2 108576f2 [0,0,0,276,-8512] 2
108576g (2 curves)	0	2+ 3- 13+ 29+	2+ 3-  2  2  0 13+ -2 -8
Curve Equation t 108576g1 [0,0,0,-1023429,-398505832] 2 108576g2 [0,0,0,-1022124,-399572800] 2
108576h (2 curves)	0	2+ 3- 13+ 29+	2+ 3-  2 -2  0 13+ -2  8
Curve Equation t 108576h1 [0,0,0,-1023429,398505832] 2 108576h2 [0,0,0,-1022124,399572800] 2
108576i (1 curve)	1	2+ 3- 13+ 29-	2+ 3-  0  4  5 13+  3  2
Curve Equation t Generators 108576i1 [0,0,0,-110595,-24062074] 1 [1658128915:32116396806:2685619]
108576j (1 curve)	1	2+ 3- 13+ 29-	2+ 3-  0 -4 -5 13+  3 -2
Curve Equation t Generators 108576j1 [0,0,0,-110595,24062074] 1 [938:27306:1]
108576k (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -1 -3  0 13+ -3  0
Curve Equation t Generators 108576k1 [0,0,0,-363,4066] 1 [18:58:1]
108576l (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -1 -4 -6 13+  5  0
Curve Equation t Generators 108576l1 [0,0,0,-1128,82384] 1 [104:1044:1]
108576m (2 curves)	1	2+ 3- 13+ 29-	2+ 3-  2  0  2 13+ -2 -2
Curve Equation t Generators 108576m1 [0,0,0,-58809,-5489260] 2 [19078185:859623290:9261] 108576m2 [0,0,0,-58764,-5498080] 2 [8218:744660:1]
108576n (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -3  0  2 13+ -3 -8
Curve Equation t Generators 108576n1 [0,0,0,456,7504] 1 [8:-108:1]
108576o (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -3  0 -2 13+ -3  8
Curve Equation t Generators 108576o1 [0,0,0,456,-7504] 1 [52:396:1]
108576p (2 curves)	1	2+ 3- 13- 29+	2+ 3- -4  2 -2 13- -2  8
Curve Equation t Generators 108576p1 [0,0,0,-417,-340] 2 [-11:54:1] 108576p2 [0,0,0,-4332,109280] 2 [-38:468:1]
108576q (1 curve)	0	2+ 3- 13- 29-	2+ 3- -3  5  6 13-  1  7
Curve Equation t 108576q1 [0,0,0,15981,2680234] 1
108576r (1 curve)	2	2+ 3- 13- 29-	2+ 3- -3 -5 -6 13-  1 -7
Curve Equation t Generators 108576r1 [0,0,0,15981,-2680234] 1 [113:754:1]&[577:14094:1]
108576s (2 curves)	0	2- 3+ 13+ 29+	2- 3+  2  0  0 13+ -2 -4
Curve Equation t 108576s1 [0,0,0,-309,-2772] 2 108576s2 [0,0,0,-5379,-151830] 2
108576t (2 curves)	0	2- 3+ 13+ 29+	2- 3+  4  0  4 13+  2 -2
Curve Equation t 108576t1 [0,0,0,27,-3780] 2 108576t2 [0,0,0,-3483,-77490] 2
108576u (2 curves)	1	2- 3+ 13+ 29-	2- 3+ -2  0  0 13+  2  4
Curve Equation t Generators 108576u1 [0,0,0,-2781,-74844] 2 [17120:181718:125] 108576u2 [0,0,0,-48411,-4099410] 2 [549:11610:1]
108576v (2 curves)	1	2- 3+ 13+ 29-	2- 3+ -4  0  4 13+ -2  2
Curve Equation t Generators 108576v1 [0,0,0,3,-140] 2 [29:156:1] 108576v2 [0,0,0,-387,-2870] 2 [258:1079:8]
108576w (1 curve)	1	2- 3- 13+ 29+	2- 3- -1  4  2 13+ -5 -8
Curve Equation t Generators 108576w1 [0,0,0,-44744088,-115212520816] 1 [663024061940913816025204236683502882464:2660467768178901893857491893368434396672804:41178620241700585563640980516011]
108576x (1 curve)	1	2- 3- 13+ 29+	2- 3- -1 -4 -2 13+ -5  8
Curve Equation t Generators 108576x1 [0,0,0,-44744088,115212520816] 1 [8588:603612:1]
108576y (2 curves)	1	2- 3- 13+ 29+	2- 3-  2  2  4 13+ -2 -4
Curve Equation t Generators 108576y1 [0,0,0,-12549,-540992] 2 [14639:1771146:1] 108576y2 [0,0,0,-11244,-657920] 2 [3185505:7776535:24389]
108576z (2 curves)	1	2- 3- 13+ 29+	2- 3-  2 -2 -4 13+ -2  4
Curve Equation t Generators 108576z1 [0,0,0,-12549,540992] 2 [76:162:1] 108576z2 [0,0,0,-11244,657920] 2 [80:520:1]
108576ba (2 curves)	1	2- 3- 13+ 29+	2- 3- -2  2  0 13+  6 -4
Curve Equation t Generators 108576ba1 [0,0,0,-25581,-1569656] 2 [344:5508:1] 108576ba2 [0,0,0,-13836,-3016640] 2 [21668:356949:64]
108576bb (1 curve)	1	2- 3- 13+ 29+	2- 3- -2  2  3 13+  3  2
Curve Equation t Generators 108576bb1 [0,0,0,-3545931,2570063506] 1 [5391550:2879208:4913]
108576bc (2 curves)	1	2- 3- 13+ 29+	2- 3- -2 -2  0 13+  6  4
Curve Equation t Generators 108576bc1 [0,0,0,-25581,1569656] 2 [61:486:1] 108576bc2 [0,0,0,-13836,3016640] 2 [148:2052:1]
108576bd (1 curve)	1	2- 3- 13+ 29+	2- 3- -2 -2 -3 13+  3 -2
Curve Equation t Generators 108576bd1 [0,0,0,-3545931,-2570063506] 1 [6615175:914126634:343]
108576be (1 curve)	1	2- 3- 13+ 29+	2- 3-  3  3  2 13+  3 -7
Curve Equation t Generators 108576be1 [0,0,0,-21029398491,1173799488498302] 1 [-313971259567:201448378335366:4173281]
108576bf (1 curve)	1	2- 3- 13+ 29+	2- 3-  3 -3 -2 13+  3  7
Curve Equation t Generators 108576bf1 [0,0,0,-21029398491,-1173799488498302] 1 [774718235523972385938867300575856012407025375546770485258711140562696479422225514693620876725251205651529244383447698045563974332074531714742038185544361369739069987474446396774834918701550173378543818771724466:140472970917380521261709093141141447551395705776289505432364235904715112408777973339622781634942056540731379819720151672476934963026034452584434919883714947539426412094192073959507075704142097744957721621513602824:4235245259943099699670546054918920866866641672921166039002636937321890124895209847732430571708839207434715913775305115748063212255815726342350517879842036751118312476731162879801127963401234357901584284063]
108576bg (1 curve)	1	2- 3- 13+ 29+	2- 3-  3  4 -2 13+  3  0
Curve Equation t Generators 108576bg1 [0,0,0,297384,49806448] 1 [105476:4476564:343]
108576bh (1 curve)	1	2- 3- 13+ 29+	2- 3-  3 -4  2 13+  3  0
Curve Equation t Generators 108576bh1 [0,0,0,297384,-49806448] 1 [192714704:1141894188:1225043]
108576bi (1 curve)	0	2- 3- 13+ 29-	2- 3-  1  3  2 13+  3  7
Curve Equation t 108576bi1 [0,0,0,-69627,7298782] 1
108576bj (1 curve)	0	2- 3- 13+ 29-	2- 3-  1 -3 -2 13+  3 -7
Curve Equation t 108576bj1 [0,0,0,-69627,-7298782] 1
108576bk (1 curve)	0	2- 3- 13+ 29-	2- 3- -1  3  0 13+ -3  0
Curve Equation t 108576bk1 [0,0,0,-363,-4066] 1
108576bl (1 curve)	0	2- 3- 13+ 29-	2- 3- -1  4  6 13+  5  0
Curve Equation t 108576bl1 [0,0,0,-1128,-82384] 1
108576bm (2 curves)	0	2- 3- 13+ 29-	2- 3-  2  0 -2 13+ -2  2
Curve Equation t 108576bm1 [0,0,0,-58809,5489260] 2 108576bm2 [0,0,0,-58764,5498080] 2
108576bn (2 curves)	2	2- 3- 13- 29+	2- 3- -4 -2  2 13- -2 -8
Curve Equation t Generators 108576bn1 [0,0,0,-417,340] 2 [-16:54:1]&[-9:58:1] 108576bn2 [0,0,0,-4332,-109280] 2 [-36:4:1]&[168:1976:1]
108576bo (4 curves)	1	2- 3- 13- 29-	2- 3-  2  4  0 13-  2  4
Curve Equation t Generators 108576bo1 [0,0,0,-2289,40480] 4 [834:7735:8] 108576bo2 [0,0,0,1221,153502] 4 [95610:1069691:1000] 108576bo3 [0,0,0,-6204,-134912] 2 [-51:221:1] 108576bo4 [0,0,0,-36219,2653090] 2 [402990:1943185:2744]
108576bp (4 curves)	1	2- 3- 13- 29-	2- 3-  2 -4  0 13-  2 -4
Curve Equation t Generators 108576bp1 [0,0,0,-2289,-40480] 4 [2143:99180:1] 108576bp2 [0,0,0,1221,-153502] 2 [49610:170791:1000] 108576bp3 [0,0,0,-6204,134912] 4 [-86:180:1] 108576bp4 [0,0,0,-36219,-2653090] 2 [17170:792205:8]
108576bq (1 curve)	1	2- 3- 13- 29-	2- 3- -2  2  3 13-  1 -6
Curve Equation t Generators 108576bq1 [0,0,0,69,-8894] 1 [1166:39816:1]
108576br (1 curve)	1	2- 3- 13- 29-	2- 3- -2 -2 -3 13-  1  6
Curve Equation t Generators 108576br1 [0,0,0,69,8894] 1 [25:162:1]

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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