Cremona's table of elliptic curves

20880 = 2⁴ · 3² · 5 · 29

Class	r	Atkin-Lehner	Eigenvalues
20880a (1 curve)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  2 -3  0  6 -6
Curve Equation t Generators 20880a1 [0,0,0,972,30348] 1 [201:2889:1]
20880b (1 curve)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  3  3 -5 -3  2
Curve Equation t Generators 20880b1 [0,0,0,-3,-27] 1 [4:5:1]
20880c (1 curve)	0	2+ 3+ 5+ 29-	2+ 3+ 5+ -2  3  4 -2  6
Curve Equation t 20880c1 [0,0,0,-15588,-775988] 1
20880d (1 curve)	0	2+ 3+ 5- 29+	2+ 3+ 5- -2 -3  4  2  6
Curve Equation t 20880d1 [0,0,0,-140292,20951676] 1
20880e (1 curve)	1	2+ 3+ 5- 29-	2+ 3+ 5-  2  3  0 -6 -6
Curve Equation t Generators 20880e1 [0,0,0,108,-1124] 1 [17:75:1]
20880f (1 curve)	1	2+ 3+ 5- 29-	2+ 3+ 5-  3 -3 -5  3  2
Curve Equation t Generators 20880f1 [0,0,0,-27,729] 1 [0:27:1]
20880g (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0 -2  2  0
Curve Equation t 20880g1 [0,0,0,-858,9443] 2 20880g2 [0,0,0,-1983,-20482] 4 20880g3 [0,0,0,-28083,-1810942] 2 20880g4 [0,0,0,6117,-145222] 2
20880h (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0 -2  6  8
Curve Equation t 20880h1 [0,0,0,-2178,39123] 2 20880h2 [0,0,0,-2223,37422] 4 20880h3 [0,0,0,-7443,-203742] 2 20880h4 [0,0,0,2277,169722] 2
20880i (6 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0 -4 -2  6 -4
Curve Equation t 20880i1 [0,0,0,-1585578,768474623] 2 20880i2 [0,0,0,-1585623,768428822] 4 20880i3 [0,0,0,-1716843,633770858] 4 20880i4 [0,0,0,-1455123,900155522] 2 20880i5 [0,0,0,-9891363,-11462883838] 2 20880i6 [0,0,0,4358157,4112315858] 2
20880j (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+ -2 -5  2 -4  6
Curve Equation t 20880j1 [0,0,0,-57468,8602108] 1
20880k (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+  3  5 -5  3  8
Curve Equation t 20880k1 [0,0,0,-3,-727] 1
20880l (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  4  4  2  2  0
Curve Equation t 20880l1 [0,0,0,-543,4318] 2 20880l2 [0,0,0,-2163,-34238] 4 20880l3 [0,0,0,-33483,-2358182] 2 20880l4 [0,0,0,3237,-177878] 2
20880m (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+ -4  4 -2 -6  4
Curve Equation t 20880m1 [0,0,0,-5898,94403] 2 20880m2 [0,0,0,-43743,-3455458] 4 20880m3 [0,0,0,-696243,-223608958] 2 20880m4 [0,0,0,3237,-10493062] 2
20880n (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  0  0 -4  2 -6
Curve Equation t Generators 20880n1 [0,0,0,-363,-2198] 2 [-13:18:1] 20880n2 [0,0,0,717,-12782] 2 [29:180:1]
20880o (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+  2  1 -2  8  2
Curve Equation t Generators 20880o1 [0,0,0,-4188,119612] 1 [-71:243:1]
20880p (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+ -2  6  4 -2  0
Curve Equation t Generators 20880p1 [0,0,0,-11523,-471278] 2 [-63:68:1] 20880p2 [0,0,0,-21243,440458] 2 [-127:1044:1]
20880q (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+  3  3 -1  5  0
Curve Equation t Generators 20880q1 [0,0,0,16377,-1098803] 1 [33352:253125:512]
20880r (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5-  1 -1 -3 -1 -2
Curve Equation t Generators 20880r1 [0,0,0,213,-191] 1 [8:45:1]
20880s (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5- -1 -3  3 -1  8
Curve Equation t Generators 20880s1 [0,0,0,-36327,2665721] 1 [112:45:1]
20880t (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5-  2 -2  4  6 -8
Curve Equation t Generators 20880t1 [0,0,0,-10947,440786] 2 [67:90:1] 20880t2 [0,0,0,-12027,348554] 2 [-47:900:1]
20880u (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5-  2  3 -6 -4  2
Curve Equation t Generators 20880u1 [0,0,0,-1925292,-1057590916] 1 [268298745610571875:-10399372293113432217:109071470310139]
20880v (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -2  2  0  2  4
Curve Equation t Generators 20880v1 [0,0,0,-6267,-147206] 2 [-61:90:1] 20880v2 [0,0,0,-93747,-11047214] 2 [3447:201550:1]
20880w (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  0  4 -2  0 -4
Curve Equation t 20880w1 [0,0,0,-102,371] 2 20880w2 [0,0,0,-327,-1834] 2
20880x (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  2 -2 -2  2  2
Curve Equation t 20880x1 [0,0,0,-10767,-429874] 2 20880x2 [0,0,0,-9147,-563686] 2
20880y (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  2  6  6  2  2
Curve Equation t 20880y1 [0,0,0,-365727,85130174] 2 20880y2 [0,0,0,-364107,85921706] 2
20880z (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  2  6  6  6 -6
Curve Equation t 20880z1 [0,0,0,-263127,51750646] 2 20880z2 [0,0,0,-131907,103372594] 2
20880ba (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5- -2  2 -2  6  6
Curve Equation t 20880ba1 [0,0,0,-327,326] 2 20880ba2 [0,0,0,1293,2594] 2
20880bb (1 curve)	0	2+ 3- 5- 29-	2+ 3- 5- -3  1  1 -3  2
Curve Equation t 20880bb1 [0,0,0,-109947,-14032411] 1
20880bc (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  4  0 -2  4  0
Curve Equation t 20880bc1 [0,0,0,-462,-1541] 2 20880bc2 [0,0,0,-6087,-182666] 2
20880bd (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5- -4  0  6  0  0
Curve Equation t 20880bd1 [0,0,0,-102,-209] 2 20880bd2 [0,0,0,-1407,-20306] 2
20880be (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+  2  3 -4 -2  2
Curve Equation t 20880be1 [0,0,0,432,3888] 1
20880bf (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  0 -4 -2  6  8
Curve Equation t Generators 20880bf1 [0,0,0,1917,370818] 2 [-9:594:1] 20880bf2 [0,0,0,-67203,6467202] 2 [97:928:1]
20880bg (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  1  3 -1  3 -2
Curve Equation t Generators 20880bg1 [0,0,0,147,-373] 1 [26:145:1] 20880bg2 [0,0,0,-1593,30483] 1 [34:125:1]
20880bh (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+  2 -1  0 -2  2
Curve Equation t Generators 20880bh1 [0,0,0,-888,10188] 1 [18:6:1]
20880bi (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  2  2  0 -2 -4
Curve Equation t Generators 20880bi1 [0,0,0,72357,-7533558] 2 [5956:5017:64] 20880bi2 [0,0,0,-419163,-71529462] 2 [-534:174:1]
20880bj (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+ -3 -1 -5  3  2
Curve Equation t Generators 20880bj1 [0,0,0,-24813,-1504413] 1 [226:2105:1]
20880bk (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5-  0  4 -2 -6  8
Curve Equation t Generators 20880bk1 [0,0,0,213,-13734] 2 [22:40:1] 20880bk2 [0,0,0,-7467,-239526] 2 [-57:30:1]
20880bl (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5-  1 -3 -1 -3 -2
Curve Equation t Generators 20880bl1 [0,0,0,-177,-1129] 1 [22:75:1] 20880bl2 [0,0,0,1323,10071] 1 [6:135:1]
20880bm (1 curve)	1	2- 3+ 5- 29+	2- 3+ 5-  2  1  0  2  2
Curve Equation t Generators 20880bm1 [0,0,0,-7992,-275076] 1 [198:2430:1]
20880bn (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5-  2 -2  0  2 -4
Curve Equation t Generators 20880bn1 [0,0,0,651213,203406066] 2 [207:18630:1] 20880bn2 [0,0,0,-3772467,1931295474] 2 [6633:518400:1]
20880bo (1 curve)	1	2- 3+ 5- 29+	2- 3+ 5- -3  1 -5 -3  2
Curve Equation t Generators 20880bo1 [0,0,0,-2757,55719] 1 [30:3:1]
20880bp (1 curve)	0	2- 3+ 5- 29-	2- 3+ 5-  2 -3 -4  2  2
Curve Equation t 20880bp1 [0,0,0,48,-144] 1
20880bq (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+  0  0 -2 -6  0
Curve Equation t Generators 20880bq1 [0,0,0,-16203,-197638] 2 [-17:270:1] 20880bq2 [0,0,0,-200523,-34518022] 4 [3359:192850:1] 20880bq3 [0,0,0,-3207243,-2210781958] 2 [1224713:-61222750:343] 20880bq4 [0,0,0,-142923,-54758662] 2 [23017493:-1323927430:6859]
20880br (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+  0  0 -6  2  4
Curve Equation t Generators 20880br1 [0,0,0,-12603,513898] 2 [-19:864:1] 20880br2 [0,0,0,-38523,-2280278] 4 [-73:378:1] 20880br3 [0,0,0,-578523,-169356278] 2 [111693:7052626:27] 20880br4 [0,0,0,86757,-14031542] 2 [4103:263466:1]
20880bs (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  2  3 -2  4 -6
Curve Equation t Generators 20880bs1 [0,0,0,-48,-452] 1 [26:126:1]
20880bt (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  3 -3  1  3  6
Curve Equation t Generators 20880bt1 [0,0,0,-1713,29387] 1 [-14:225:1]
20880bu (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+ -3  3  3 -1  4
Curve Equation t Generators 20880bu1 [0,0,0,-1991433,-1088227757] 1 [5079271234:9322360875:3112136]
20880bv (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+  4  0  6 -2 -8
Curve Equation t Generators 20880bv1 [0,0,0,-4323,-73438] 2 [97:648:1] 20880bv2 [0,0,0,-62643,-6033742] 4 [583:12474:1] 20880bv3 [0,0,0,-1002243,-386195902] 2 [419209:5023458:343] 20880bv4 [0,0,0,-56163,-7331038] 2 [773597:16643718:1331]
20880bw (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -4  0 -2 -2  0
Curve Equation t Generators 20880bw1 [0,0,0,-36003,2625442] 2 [119:162:1] 20880bw2 [0,0,0,-47523,802978] 4 [-81:2030:1] 20880bw3 [0,0,0,-465123,-121386782] 2 [-369:14:1] 20880bw4 [0,0,0,185757,6355042] 2 [407:12222:1]
20880bx (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -4 -4  6 -6  4
Curve Equation t Generators 20880bx1 [0,0,0,-3963,95978] 2 [13:216:1] 20880bx2 [0,0,0,-4683,58682] 4 [-59:360:1] 20880bx3 [0,0,0,-37083,-2708278] 2 [-113:198:1] 20880bx4 [0,0,0,16197,438698] 2 [-1:650:1]
20880by (4 curves)	0	2- 3- 5+ 29-	2- 3- 5+  2  2  4  2  0
Curve Equation t 20880by1 [0,0,0,-645123,-43591678] 2 20880by2 [0,0,0,-6243843,5968313858] 2 20880by3 [0,0,0,-307667523,-2077163087038] 2 20880by4 [0,0,0,-307671843,-2077101838942] 2
20880bz (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  2 -4 -6  4 -4
Curve Equation t 20880bz1 [0,0,0,-288,-837] 2 20880bz2 [0,0,0,1017,-6318] 2
20880ca (2 curves)	2	2- 3- 5+ 29-	2- 3- 5+ -2 -2 -4 -6 -4
Curve Equation t Generators 20880ca1 [0,0,0,-723,-4462] 2 [-17:54:1]&[-14:54:1] 20880ca2 [0,0,0,-5043,134642] 2 [-79:200:1]&[-41:522:1]
20880cb (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+ -2  4  2  0 -4
Curve Equation t 20880cb1 [0,0,0,-759288,-254658337] 2 20880cb2 [0,0,0,-757983,-255577318] 2
20880cc (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+ -2 -4  2  8  4
Curve Equation t 20880cc1 [0,0,0,-1128,14263] 2 20880cc2 [0,0,0,177,45322] 2
20880cd (4 curves)	0	2- 3- 5+ 29-	2- 3- 5+  4  0 -4  6 -2
Curve Equation t 20880cd1 [0,0,0,-8283,105482] 2 20880cd2 [0,0,0,30597,813098] 2 20880cd3 [0,0,0,-364683,-84763078] 2 20880cd4 [0,0,0,-347403,-93157702] 2
20880ce (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  4 -4 -4  2 -2
Curve Equation t 20880ce1 [0,0,0,-253443,48160258] 2 20880ce2 [0,0,0,23037,147637762] 2
20880cf (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  5  5 -5 -7  0
Curve Equation t 20880cf1 [0,0,0,-273,-1753] 1
20880cg (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  0 -2 -2  0  2
Curve Equation t 20880cg1 [0,0,0,-72,-189] 2 20880cg2 [0,0,0,153,-1134] 2
20880ch (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  0 -6  6 -4 -2
Curve Equation t 20880ch1 [0,0,0,-6672,-207389] 2 20880ch2 [0,0,0,-1047,-546014] 2
20880ci (1 curve)	0	2- 3- 5- 29+	2- 3- 5-  2  1  6 -4  2
Curve Equation t 20880ci1 [0,0,0,11328,-1894736] 1
20880cj (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  2 -2  0  2  8
Curve Equation t 20880cj1 [0,0,0,-1587,-3854] 2 20880cj2 [0,0,0,-18867,-995726] 2
20880ck (4 curves)	0	2- 3- 5- 29+	2- 3- 5- -2 -6 -4  6  4
Curve Equation t 20880ck1 [0,0,0,-407307,96857786] 2 20880ck2 [0,0,0,-1029387,-269796166] 2 20880ck3 [0,0,0,-4729467,-3928125526] 2 20880ck4 [0,0,0,-75508347,-252546019414] 2
20880cl (2 curves)	1	2- 3- 5- 29-	2- 3- 5-  1 -3 -1 -3  4
Curve Equation t Generators 20880cl1 [0,0,0,483,19199] 1 [-2:135:1] 20880cl2 [0,0,0,-4377,-538729] 1 [142:1305:1]
20880cm (2 curves)	1	2- 3- 5- 29-	2- 3- 5-  2  2 -6 -2  2
Curve Equation t Generators 20880cm1 [0,0,0,-10107,-382806] 2 [-57:90:1] 20880cm2 [0,0,0,1413,-1205334] 2 [247:3770:1]
20880cn (2 curves)	1	2- 3- 5- 29-	2- 3- 5-  2 -6  2  2  2
Curve Equation t Generators 20880cn1 [0,0,0,-387,2754] 2 [-15:72:1] 20880cn2 [0,0,0,333,11826] 2 [-9:90:1]
20880co (2 curves)	1	2- 3- 5- 29-	2- 3- 5- -2  3  2  0 -2
Curve Equation t Generators 20880co1 [0,0,0,-1632,25904] 1 [25:27:1] 20880co2 [0,0,0,7008,110576] 1 [97:1305:1]

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