Cremona's table of elliptic curves

54288 = 2⁴ · 3² · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
54288a (1 curve)	0	2+ 3+ 13- 29+	2+ 3+ -1  4  2 13-  3  0
Curve Equation t 54288a1 [0,0,0,12,76] 1
54288b (1 curve)	1	2+ 3+ 13- 29-	2+ 3+  1  4 -2 13- -3  0
Curve Equation t Generators 54288b1 [0,0,0,108,-2052] 1 [993:31293:1]
54288c (2 curves)	0	2+ 3- 13+ 29+	2+ 3-  0  0  0 13+ -2 -6
Curve Equation t 54288c1 [0,0,0,13324065,1587248894] 2 54288c2 [0,0,0,-53508675,12721583378] 2
54288d (2 curves)	2	2+ 3- 13+ 29+	2+ 3-  0 -4  0 13+ -2 -6
Curve Equation t Generators 54288d1 [0,0,0,105,2486] 2 [2:52:1]&[5:56:1] 54288d2 [0,0,0,-2235,38522] 2 [-53:90:1]&[-7:232:1]
54288e (1 curve)	0	2+ 3- 13+ 29+	2+ 3-  2  2 -5 13+ -3 -2
Curve Equation t 54288e1 [0,0,0,-11379,-574382] 1
54288f (1 curve)	1	2+ 3- 13+ 29-	2+ 3-  0  4  3 13+  1 -6
Curve Equation t Generators 54288f1 [0,0,0,-5403675,5142085738] 1 [-2689:15138:1]
54288g (2 curves)	1	2+ 3- 13+ 29-	2+ 3-  0 -4  2 13+  6  0
Curve Equation t Generators 54288g1 [0,0,0,-1106310,-447810509] 2 [5164490:362747457:1000] 54288g2 [0,0,0,-992775,-543338858] 2 [535783945270:37687255998111:103823000]
54288h (2 curves)	1	2+ 3- 13+ 29-	2+ 3-  0 -4  4 13+  2  2
Curve Equation t Generators 54288h1 [0,0,0,-6330,192683] 2 [31:162:1] 54288h2 [0,0,0,-2415,428366] 2 [770:8343:8]
54288i (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -2 -2 -5 13+ -3  2
Curve Equation t Generators 54288i1 [0,0,0,5469,73154] 1 [205:3132:1]
54288j (4 curves)	1	2+ 3- 13- 29+	2+ 3-  2  0  0 13- -2  0
Curve Equation t Generators 54288j1 [0,0,0,-7554,249095] 2 [2546:43875:8] 54288j2 [0,0,0,-15159,-336490] 4 [69990:1158625:216] 54288j3 [0,0,0,52701,-2521582] 2 [6966349117750:146721190353858:23763671875] 54288j4 [0,0,0,-204699,-35628838] 2 [1321:44712:1]
54288k (2 curves)	1	2+ 3- 13- 29+	2+ 3-  2 -2 -4 13-  6  0
Curve Equation t Generators 54288k1 [0,0,0,-1119,-14402] 2 [11670:104198:125] 54288k2 [0,0,0,-939,-19190] 2 [363:6890:1]
54288l (4 curves)	1	2+ 3- 13- 29+	2+ 3-  2  4 -4 13-  6 -4
Curve Equation t Generators 54288l1 [0,0,0,-2874,-35813] 2 [-10087:52326:343] 54288l2 [0,0,0,-40719,-3161810] 4 [-2164848182:-90737415:18821096] 54288l3 [0,0,0,-35499,-4002230] 2 [17481:422110:27] 54288l4 [0,0,0,-651459,-202385198] 2 [-7639074798890187170:671026046829291:16392871125827000]
54288m (1 curve)	1	2+ 3- 13- 29+	2+ 3- -4  4 -1 13-  3 -6
Curve Equation t Generators 54288m1 [0,0,0,-6267,191050] 1 [47:18:1]
54288n (1 curve)	0	2+ 3- 13- 29-	2+ 3-  1 -2  4 13-  1  4
Curve Equation t 54288n1 [0,0,0,-2172,43292] 1
54288o (1 curve)	0	2+ 3- 13- 29-	2+ 3-  1  5  4 13-  1  4
Curve Equation t 54288o1 [0,0,0,-1450827,-672622758] 1
54288p (2 curves)	0	2+ 3- 13- 29-	2+ 3-  2  4 -6 13-  6  6
Curve Equation t 54288p1 [0,0,0,-70014,-6934705] 2 54288p2 [0,0,0,-168879,17010398] 2
54288q (2 curves)	0	2+ 3- 13- 29-	2+ 3- -2  0 -2 13-  6 -2
Curve Equation t 54288q1 [0,0,0,-7086,-229565] 2 54288q2 [0,0,0,-7671,-189434] 2
54288r (2 curves)	0	2+ 3- 13- 29-	2+ 3- -2  4 -2 13- -2 -2
Curve Equation t 54288r1 [0,0,0,-1120926,-456726229] 2 54288r2 [0,0,0,-1226631,-365418250] 2
54288s (2 curves)	2	2+ 3- 13- 29-	2+ 3- -2 -4 -2 13- -2 -2
Curve Equation t Generators 54288s1 [0,0,0,-126,-405] 2 [-5:10:1]&[27:126:1] 54288s2 [0,0,0,-711,6966] 2 [-30:36:1]&[-11:116:1]
54288t (2 curves)	0	2+ 3- 13- 29-	2+ 3- -2 -4  6 13- -2  6
Curve Equation t 54288t1 [0,0,0,-7086,225331] 2 54288t2 [0,0,0,-112791,14580070] 2
54288u (1 curve)	2	2+ 3- 13- 29-	2+ 3- -3 -1  2 13- -3 -3
Curve Equation t Generators 54288u1 [0,0,0,-3459,78626] 1 [29:52:1]&[-35:396:1]
54288v (2 curves)	2	2- 3+ 13+ 29+	2- 3+  0  0 -4 13+ -2 -6
Curve Equation t Generators 54288v1 [0,0,0,-1635,26978] 2 [-34:208:1]&[17:-64:1] 54288v2 [0,0,0,-26595,1669346] 2 [97:-48:1]&[350:5936:1]
54288w (2 curves)	1	2- 3+ 13+ 29-	2- 3+  0  0  4 13+  2 -6
Curve Equation t Generators 54288w1 [0,0,0,-14715,-728406] 2 [7018:587834:1] 54288w2 [0,0,0,-239355,-45072342] 2 [85467494:-7145381782:12167]
54288x (1 curve)	1	2- 3+ 13- 29+	2- 3+ -1  0  2 13-  7 -8
Curve Equation t Generators 54288x1 [0,0,0,-564528,-163258704] 1 [76905016203581756109:3506597463049291271973:32740052749006429]
54288y (1 curve)	1	2- 3+ 13- 29+	2- 3+ -1  1  0 13-  1 -1
Curve Equation t Generators 54288y1 [0,0,0,-5643,231866] 1 [101:-832:1]
54288z (1 curve)	1	2- 3+ 13- 29+	2- 3+  3  0 -6 13- -1  0
Curve Equation t Generators 54288z1 [0,0,0,-5136,151088] 1 [-23:507:1]
54288ba (1 curve)	0	2- 3+ 13- 29-	2- 3+  1  0 -2 13- -7 -8
Curve Equation t 54288ba1 [0,0,0,-5080752,4407985008] 1
54288bb (1 curve)	0	2- 3+ 13- 29-	2- 3+  1  1  0 13- -1 -1
Curve Equation t 54288bb1 [0,0,0,-50787,-6260382] 1
54288bc (1 curve)	0	2- 3+ 13- 29-	2- 3+ -3  0  6 13-  1  0
Curve Equation t 54288bc1 [0,0,0,-46224,-4079376] 1
54288bd (1 curve)	1	2- 3- 13+ 29+	2- 3-  0  0  3 13+  5  6
Curve Equation t Generators 54288bd1 [0,0,0,-75,3962] 1 [13:72:1]
54288be (2 curves)	1	2- 3- 13+ 29+	2- 3-  0  0 -4 13+ -2  6
Curve Equation t Generators 54288be1 [0,0,0,-161865435,-821040930934] 2 [26950160312220810146324339966395004097680803885:-4498196360814382953198812580914149493583856533504:806068364975726534308068973431231869930449] 54288be2 [0,0,0,-2615533275,-51485846691958] 2 [-7559159942431427087475112603:-2202074702292882685886189568:255987021072360731055209]
54288bf (2 curves)	1	2- 3- 13+ 29+	2- 3-  2 -2  0 13+ -6  0
Curve Equation t Generators 54288bf1 [0,0,0,-264,263] 2 [49:324:1] 54288bf2 [0,0,0,1041,2090] 2 [570:4940:27]
54288bg (1 curve)	1	2- 3- 13+ 29+	2- 3-  3  3  2 13+ -5 -3
Curve Equation t Generators 54288bg1 [0,0,0,3669,218] 1 [37:-432:1]
54288bh (1 curve)	1	2- 3- 13+ 29+	2- 3-  3  3 -4 13+  1  0
Curve Equation t Generators 54288bh1 [0,0,0,6189,-59758] 1 [3171:40832:27]
54288bi (2 curves)	2	2- 3- 13+ 29-	2- 3-  0  0 -4 13+ -6 -2
Curve Equation t Generators 54288bi1 [0,0,0,1725,12418] 2 [17:-216:1]&[57:544:1] 54288bi2 [0,0,0,-7635,104146] 2 [-73:522:1]&[-15:464:1]
54288bj (2 curves)	0	2- 3- 13+ 29-	2- 3- -2 -2 -2 13+  2  6
Curve Equation t 54288bj1 [0,0,0,-32556,-2260541] 2 54288bj2 [0,0,0,-28911,-2786150] 2
54288bk (2 curves)	0	2- 3- 13+ 29-	2- 3-  4  4  4 13+  2 -6
Curve Equation t 54288bk1 [0,0,0,-9723,402730] 2 54288bk2 [0,0,0,-159483,24514090] 2
54288bl (1 curve)	0	2- 3- 13- 29+	2- 3- -1  1 -6 13-  7  2
Curve Equation t 54288bl1 [0,0,0,-1549083,742446794] 1
54288bm (1 curve)	0	2- 3- 13- 29+	2- 3- -1  2 -4 13- -5 -4
Curve Equation t 54288bm1 [0,0,0,-768,-8656] 1
54288bn (1 curve)	0	2- 3- 13- 29+	2- 3- -1  3  2 13-  1 -5
Curve Equation t 54288bn1 [0,0,0,-119523,18999394] 1
54288bo (4 curves)	0	2- 3- 13- 29+	2- 3-  2  0 -4 13- -2  4
Curve Equation t 54288bo1 [0,0,0,-1179,15498] 2 54288bo2 [0,0,0,-1899,-5670] 4 54288bo3 [0,0,0,7461,-44982] 2 54288bo4 [0,0,0,-22779,-1321110] 2
54288bp (6 curves)	0	2- 3- 13- 29+	2- 3-  2  0 -4 13- -2  4
Curve Equation t 54288bp1 [0,0,0,31821,-1373582] 2 54288bp2 [0,0,0,-152499,-11953550] 4 54288bp3 [0,0,0,-1154739,469322098] 2 54288bp4 [0,0,0,-2099379,-1170347150] 4 54288bp5 [0,0,0,-1762419,-1558592462] 2 54288bp6 [0,0,0,-33586419,-74919292238] 2
54288bq (1 curve)	0	2- 3- 13- 29+	2- 3-  2  2 -1 13-  7  2
Curve Equation t 54288bq1 [0,0,0,-40179,3539378] 1
54288br (2 curves)	0	2- 3- 13- 29+	2- 3-  2 -2  0 13- -2 -4
Curve Equation t 54288br1 [0,0,0,-939,-8998] 2 54288br2 [0,0,0,1941,-53350] 2
54288bs (4 curves)	0	2- 3- 13- 29+	2- 3-  2 -4 -4 13- -2 -4
Curve Equation t 54288bs1 [0,0,0,-288219,-2413942] 2 54288bs2 [0,0,0,-3237339,-2236077430] 4 54288bs3 [0,0,0,-1901019,-4097571190] 2 54288bs4 [0,0,0,-51759579,-143329046902] 2
54288bt (1 curve)	0	2- 3- 13- 29+	2- 3-  4 -4 -1 13-  7  2
Curve Equation t 54288bt1 [0,0,0,839877,-2247912470] 1
54288bu (2 curves)	1	2- 3- 13- 29-	2- 3-  0 -2  2 13-  2  0
Curve Equation t Generators 54288bu1 [0,0,0,-300,1159] 2 [-7:54:1] 54288bu2 [0,0,0,-4215,105298] 2 [466:1917:8]
54288bv (4 curves)	1	2- 3- 13- 29-	2- 3-  0 -2  6 13- -6 -8
Curve Equation t Generators 54288bv1 [0,0,0,-8940,263603] 2 [-43:754:1] 54288bv2 [0,0,0,-44175,-3337414] 2 [322:3978:1] 54288bv3 [0,0,0,-219540,-39569281] 2 [-2206:297:8] 54288bv4 [0,0,0,-3512055,-2533320142] 2 [-11521114:-5083:10648]
54288bw (2 curves)	1	2- 3- 13- 29-	2- 3-  0  4  3 13-  3 -2
Curve Equation t Generators 54288bw1 [0,0,0,12165,337322] 1 [493:11232:1] 54288bw2 [0,0,0,-128235,-22974694] 1 [565:9216:1]
54288bx (1 curve)	1	2- 3- 13- 29-	2- 3-  1 -1  2 13- -5 -1
Curve Equation t Generators 54288bx1 [0,0,0,-24987,-13317302] 1 [2109:96512:1]
54288by (1 curve)	1	2- 3- 13- 29-	2- 3-  2  2  3 13- -5  6
Curve Equation t Generators 54288by1 [0,0,0,-7490739,7891450738] 1 [1439:9594:1]
54288bz (2 curves)	1	2- 3- 13- 29-	2- 3-  3 -2  0 13- -3  4
Curve Equation t Generators 54288bz1 [0,0,0,-1056,-30292] 1 [142:1638:1] 54288bz2 [0,0,0,-113376,-14693668] 1 [538:8946:1]
54288ca (2 curves)	1	2- 3- 13- 29-	2- 3- -3  1  0 13- -3 -8
Curve Equation t Generators 54288ca1 [0,0,0,-54219,4861946] 1 [95:754:1] 54288ca2 [0,0,0,48741,20259146] 1 [1319:48778:1]
54288cb (2 curves)	1	2- 3- 13- 29-	2- 3- -4  2  0 13- -2  6
Curve Equation t Generators 54288cb1 [0,0,0,-74712,-5585465] 2 [-159:1508:1] 54288cb2 [0,0,0,-1096527,-441900470] 2 [1262:13572:1]

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

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