Cremona's table of elliptic curves

26520 = 2³ · 3 · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
26520a (1 curve)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+  3  3 13+ 17+  1
Curve Equation t Generators 26520a1 [0,-1,0,324,6261] 1 [30:2197:27]
26520b (4 curves)	0	2+ 3+ 5- 13+ 17+	2+ 3+ 5-  4  4 13+ 17+  0
Curve Equation t 26520b1 [0,-1,0,-1340,-2508] 2 26520b2 [0,-1,0,-15920,-766500] 4 26520b3 [0,-1,0,-10520,-1300020] 2 26520b4 [0,-1,0,-254600,-49361748] 2
26520c (4 curves)	1	2+ 3- 5+ 13+ 17-	2+ 3- 5+  0  4 13+ 17-  8
Curve Equation t Generators 26520c1 [0,1,0,-476,3264] 2 [-20:72:1] 26520c2 [0,1,0,-2096,-34320] 4 [-29:54:1] 26520c3 [0,1,0,2584,-161616] 2 [75:678:1] 26520c4 [0,1,0,-32696,-2286480] 2 [2202:24843:8]
26520d (1 curve)	1	2+ 3- 5+ 13+ 17-	2+ 3- 5+  2 -5 13+ 17- -7
Curve Equation t Generators 26520d1 [0,1,0,-19976,-2265360] 1 [199:1296:1]
26520e (4 curves)	1	2+ 3- 5+ 13+ 17-	2+ 3- 5+ -4  4 13+ 17- -4
Curve Equation t Generators 26520e1 [0,1,0,-1556316,746781120] 2 [684:1656:1] 26520e2 [0,1,0,-1557936,745146864] 4 [675:1242:1] 26520e3 [0,1,0,-792936,1478322864] 2 [17675:2347242:1] 26520e4 [0,1,0,-2348856,-92595600] 2 [-34503:774962:27]
26520f (4 curves)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+  0  4 13- 17- -8
Curve Equation t 26520f1 [0,1,0,-871,8030] 2 26520f2 [0,1,0,-3996,-90720] 4 26520f3 [0,1,0,4504,-417120] 4 26520f4 [0,1,0,-62496,-6034320] 2
26520g (2 curves)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+ -2  0 13- 17-  4
Curve Equation t 26520g1 [0,1,0,-2691,-54630] 2 26520g2 [0,1,0,-2436,-65136] 2
26520h (1 curve)	1	2+ 3- 5- 13- 17-	2+ 3- 5-  2 -6 13- 17-  6
Curve Equation t Generators 26520h1 [0,1,0,-13345,-5497117] 1 [263:3042:1]
26520i (4 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5- -4  0 13- 17-  0
Curve Equation t Generators 26520i1 [0,1,0,-31335,2124558] 4 [21:1215:1] 26520i2 [0,1,0,-31740,2066400] 4 [-120:2040:1] 26520i3 [0,1,0,20280,8225568] 4 [-69:2550:1] 26520i4 [0,1,0,-90240,-7808400] 2 [915:-26010:1]
26520j (1 curve)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+ -2  6 13+ 17+  2
Curve Equation t 26520j1 [0,-1,0,239,-5435] 1
26520k (1 curve)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+ -5  3 13+ 17+ -7
Curve Equation t 26520k1 [0,-1,0,-1200376,-505808999] 1
26520l (1 curve)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+ -1 -3 13+ 17-  3
Curve Equation t Generators 26520l1 [0,-1,0,64,750465] 1 [196:2873:1]
26520m (1 curve)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+  4 -1 13+ 17- -3
Curve Equation t Generators 26520m1 [0,-1,0,64,300] 1 [25:130:1]
26520n (2 curves)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  2  0 13- 17+  0
Curve Equation t Generators 26520n1 [0,-1,0,-91,316] 2 [1:15:1] 26520n2 [0,-1,0,164,1540] 2 [6:52:1]
26520o (2 curves)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+ -2  4 13- 17+ -2
Curve Equation t Generators 26520o1 [0,-1,0,-356,-2460] 2 [-11:2:1] 26520o2 [0,-1,0,-176,-5124] 2 [38:-204:1]
26520p (4 curves)	0	2- 3+ 5+ 13- 17-	2- 3+ 5+  4  4 13- 17-  4
Curve Equation t 26520p1 [0,-1,0,-49556,-1162044] 4 26520p2 [0,-1,0,-620776,-187836740] 4 26520p3 [0,-1,0,-451776,-292549140] 2 26520p4 [0,-1,0,-9929296,-12039444404] 2
26520q (1 curve)	0	2- 3+ 5- 13- 17+	2- 3+ 5- -2 -2 13- 17+ -6
Curve Equation t 26520q1 [0,-1,0,1295,-10043] 1
26520r (2 curves)	0	2- 3+ 5- 13- 17+	2- 3+ 5- -2  4 13- 17+  0
Curve Equation t 26520r1 [0,-1,0,-3089195,-2088807468] 2 26520r2 [0,-1,0,-3015500,-2193277500] 2
26520s (6 curves)	1	2- 3+ 5- 13- 17-	2- 3+ 5-  0  4 13- 17- -4
Curve Equation t Generators 26520s1 [0,-1,0,1105,-981600] 4 [2955:17875:27] 26520s2 [0,-1,0,-141700,-20060348] 8 [-203:546:1] 26520s3 [0,-1,0,-314080,38479900] 4 [681:11830:1] 26520s4 [0,-1,0,-2254200,-1301925348] 4 [8934:831600:1] 26520s5 [0,-1,0,-2241200,-1317696948] 2 [3064271:285246522:343] 26520s6 [0,-1,0,-36067200,-83359313748] 2 [78986:5784933:8]
26520t (1 curve)	1	2- 3+ 5- 13- 17-	2- 3+ 5-  2  1 13- 17- -1
Curve Equation t Generators 26520t1 [0,-1,0,-9180931520,338599261236780] 1 [81817:11624158:1]
26520u (2 curves)	1	2- 3+ 5- 13- 17-	2- 3+ 5-  2 -4 13- 17-  4
Curve Equation t Generators 26520u1 [0,-1,0,-2555,-59100] 2 [85:575:1] 26520u2 [0,-1,0,-43180,-3439100] 2 [-120:10:1]
26520v (1 curve)	1	2- 3+ 5- 13- 17-	2- 3+ 5- -2  1 13- 17-  3
Curve Equation t Generators 26520v1 [0,-1,0,-141440,-39042900] 1 [505:4250:1]
26520w (2 curves)	1	2- 3+ 5- 13- 17-	2- 3+ 5- -2  4 13- 17-  6
Curve Equation t Generators 26520w1 [0,-1,0,-97700,-11369820] 2 [-203:238:1] 26520w2 [0,-1,0,33520,-39765828] 2 [1142:38556:1]
26520x (1 curve)	1	2- 3+ 5- 13- 17-	2- 3+ 5-  3  1 13- 17- -7
Curve Equation t Generators 26520x1 [0,-1,0,-460,4105] 1 [12:-13:1]
26520y (2 curves)	1	2- 3- 5+ 13+ 17+	2- 3- 5+  0  2 13+ 17+ -8
Curve Equation t Generators 26520y1 [0,1,0,-281016,57158784] 2 [264:1200:1] 26520y2 [0,1,0,-193136,93646560] 2 [19:9486:1]
26520z (4 curves)	0	2- 3- 5+ 13- 17+	2- 3- 5+  0  4 13- 17+  0
Curve Equation t 26520z1 [0,1,0,-31,-790] 2 26520z2 [0,1,0,-1476,-22176] 4 26520z3 [0,1,0,-2496,11280] 2 26520z4 [0,1,0,-23576,-1401216] 2
26520ba (4 curves)	2	2- 3- 5+ 13- 17+	2- 3- 5+ -4 -4 13- 17+ -4
Curve Equation t Generators 26520ba1 [0,1,0,-31,52250] 2 [-25:195:1]&[-13:225:1] 26520ba2 [0,1,0,-21156,1159200] 4 [-150:990:1]&[-129:1326:1] 26520ba3 [0,1,0,-43256,-1704960] 2 [-149:1206:1]&[-104:1296:1] 26520ba4 [0,1,0,-337056,75206160] 2 [336:36:1]&[384:1596:1]
26520bb (4 curves)	1	2- 3- 5+ 13- 17-	2- 3- 5+  4  0 13- 17-  4
Curve Equation t Generators 26520bb1 [0,1,0,-10511,-88086] 4 [-98:102:1] 26520bb2 [0,1,0,-127556,-17551200] 4 [424:2184:1] 26520bb3 [0,1,0,-87776,-28657776] 2 [3290:17829:8] 26520bb4 [0,1,0,-2040056,-1122211200] 2 [32299:-5799066:1]
26520bc (1 curve)	1	2- 3- 5- 13- 17+	2- 3- 5-  1 -3 13- 17+  1
Curve Equation t Generators 26520bc1 [0,1,0,1040,-7267] 1 [26:-195:1]
26520bd (2 curves)	1	2- 3- 5- 13- 17+	2- 3- 5-  2  0 13- 17+  4
Curve Equation t Generators 26520bd1 [0,1,0,45,1350] 2 [3:-39:1] 26520bd2 [0,1,0,-1580,22800] 2 [10:90:1]
26520be (2 curves)	1	2- 3- 5- 13- 17+	2- 3- 5- -2  0 13- 17+  4
Curve Equation t Generators 26520be1 [0,1,0,-441593835,-5915392278642] 2 [739911:-636196275:1] 26520be2 [0,1,0,-8285158460,-290175586566192] 2 [-51854:-136890:1]
26520bf (6 curves)	0	2- 3- 5- 13- 17-	2- 3- 5-  0  4 13- 17- -4
Curve Equation t 26520bf1 [0,1,0,-16575,815850] 4 26520bf2 [0,1,0,-16580,815328] 8 26520bf3 [0,1,0,-12160,1264400] 4 26520bf4 [0,1,0,-21080,332928] 4 26520bf5 [0,1,0,80320,2685408] 2 26520bf6 [0,1,0,-194480,-32821152] 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