Cremona's table of elliptic curves

24336 = 2⁴ · 3² · 13²

Class	r	Atkin-Lehner	Eigenvalues
24336a (2 curves)	1	2+ 3+ 13+	2+ 3+  2  2 -4 13+  0 -2
Curve Equation t Generators 24336a1 [0,0,0,1521,-21970] 2 [542:12650:1] 24336a2 [0,0,0,-8619,-206518] 2 [-29:138:1]
24336b (2 curves)	1	2+ 3+ 13+	2+ 3+ -2  2  4 13+  0 -2
Curve Equation t Generators 24336b1 [0,0,0,13689,593190] 2 [534:25208:27] 24336b2 [0,0,0,-77571,5575986] 2 [-165:3726:1]
24336c (2 curves)	0	2+ 3- 13+	2+ 3-  0  0 -6 13+ -2  0
Curve Equation t 24336c1 [0,0,0,-5070,-292201] 2 24336c2 [0,0,0,-103935,-12887602] 2
24336d (2 curves)	0	2+ 3- 13+	2+ 3-  0 -4  2 13+  6 -4
Curve Equation t 24336d1 [0,0,0,-5070,-63713] 2 24336d2 [0,0,0,17745,-478946] 2
24336e (1 curve)	0	2+ 3- 13+	2+ 3- -1  5  2 13+  3 -2
Curve Equation t 24336e1 [0,0,0,-24843,-1577446] 1
24336f (4 curves)	0	2+ 3- 13+	2+ 3-  2  0  0 13+ -2 -4
Curve Equation t 24336f1 [0,0,0,-11154,261443] 2 24336f2 [0,0,0,-79599,-8458450] 4 24336f3 [0,0,0,11661,-26728702] 2 24336f4 [0,0,0,-1265979,-548261350] 2
24336g (1 curve)	0	2+ 3- 13+	2+ 3-  2 -1 -1 13+ -3  7
Curve Equation t 24336g1 [0,0,0,-39,65] 1
24336h (1 curve)	0	2+ 3- 13+	2+ 3-  2 -1 -6 13+ -8  4
Curve Equation t 24336h1 [0,0,0,-26364,-1942148] 1
24336i (6 curves)	2	2+ 3- 13+	2+ 3- -2  0 -4 13+ -2 -4
Curve Equation t Generators 24336i1 [0,0,0,1014,15379] 2 [39:338:1]&[131:1548:1] 24336i2 [0,0,0,-6591,153790] 4 [-82:378:1]&[17:216:1] 24336i3 [0,0,0,-37011,-2614430] 4 [-117:338:1]&[233:1188:1] 24336i4 [0,0,0,-97851,11780314] 2 [-325:3042:1]&[26:3042:1] 24336i5 [0,0,0,23829,-10365446] 2 [185:612:1]&[351:6422:1] 24336i6 [0,0,0,-584571,-172029494] 2 [-441:14:1]&[9359:902286:1]
24336j (1 curve)	0	2+ 3- 13+	2+ 3- -2  1  1 13+ -3 -7
Curve Equation t 24336j1 [0,0,0,-6591,142805] 1
24336k (1 curve)	0	2+ 3- 13+	2+ 3- -2  1  6 13+ -8 -4
Curve Equation t 24336k1 [0,0,0,-156,-884] 1
24336l (4 curves)	0	2+ 3- 13+	2+ 3- -2  4  0 13+ -2  8
Curve Equation t 24336l1 [0,0,0,-59826,5630911] 2 24336l2 [0,0,0,-67431,4108390] 4 24336l3 [0,0,0,206349,29022370] 2 24336l4 [0,0,0,-462891,-118246934] 2
24336m (1 curve)	0	2+ 3- 13+	2+ 3-  3  0  0 13+  1  0
Curve Equation t 24336m1 [0,0,0,429,3458] 1
24336n (1 curve)	0	2+ 3- 13+	2+ 3-  3 -4 -4 13+ -3 -4
Curve Equation t 24336n1 [0,0,0,-8311251,9306830338] 1
24336o (1 curve)	0	2+ 3- 13+	2+ 3- -3  0  0 13+  1  0
Curve Equation t 24336o1 [0,0,0,72501,7597226] 1
24336p (1 curve)	0	2+ 3- 13+	2+ 3- -3  4  4 13+ -3  4
Curve Equation t 24336p1 [0,0,0,-49179,4236154] 1
24336q (2 curves)	0	2+ 3- 13+	2+ 3-  4  0  2 13+ -2  8
Curve Equation t 24336q1 [0,0,0,-990678,356562115] 2 24336q2 [0,0,0,857337,1533747670] 2
24336r (2 curves)	0	2+ 3- 13+	2+ 3- -4 -4  2 13+  6  4
Curve Equation t 24336r1 [0,0,0,7098,735995] 2 24336r2 [0,0,0,-91767,9732710] 2
24336s (2 curves)	1	2+ 3- 13-	2+ 3-  0  2 -2 13-  2 -6
Curve Equation t Generators 24336s1 [0,0,0,-65910,-6311981] 2 [153965:2533266:343] 24336s2 [0,0,0,-164775,17079478] 2 [1661:65772:1]
24336t (2 curves)	1	2+ 3- 13-	2+ 3-  0 -2  2 13-  2  6
Curve Equation t Generators 24336t1 [0,0,0,-390,-2873] 2 [23:18:1] 24336t2 [0,0,0,-975,7774] 2 [53:324:1]
24336u (2 curves)	1	2+ 3- 13-	2+ 3-  2 -2  4 13-  6 -2
Curve Equation t Generators 24336u1 [0,0,0,-39,-1690] 2 [22:90:1] 24336u2 [0,0,0,-2379,-44278] 2 [-29:18:1]
24336v (2 curves)	1	2+ 3- 13-	2+ 3- -2  2 -4 13-  6  2
Curve Equation t Generators 24336v1 [0,0,0,-6591,-3712930] 2 [458:9452:1] 24336v2 [0,0,0,-402051,-97278766] 2 [-365:918:1]
24336w (2 curves)	1	2+ 3- 13-	2+ 3-  4  2  2 13- -6  2
Curve Equation t Generators 24336w1 [0,0,0,-3198,66755] 2 [130:1105:8] 24336w2 [0,0,0,-50583,4378790] 2 [205:1620:1]
24336x (2 curves)	1	2+ 3- 13-	2+ 3- -4 -2 -2 13- -6 -2
Curve Equation t Generators 24336x1 [0,0,0,-540462,146660735] 2 [2071:88938:1] 24336x2 [0,0,0,-8548527,9620201630] 2 [1693:324:1]
24336y (2 curves)	0	2- 3+ 13+	2- 3+  0  1  0 13+  0 -8
Curve Equation t 24336y1 [0,0,0,0,-456976] 1 24336y2 [0,0,0,0,12338352] 1
24336z (2 curves)	0	2- 3+ 13+	2- 3+  0 -1  0 13+  0  8
Curve Equation t 24336z1 [0,0,0,0,-208] 1 24336z2 [0,0,0,0,5616] 1
24336ba (4 curves)	0	2- 3+ 13+	2- 3+  0 -4  0 13+  0  8
Curve Equation t 24336ba1 [0,0,0,0,-2197] 2 24336ba2 [0,0,0,-2535,-48334] 2 24336ba3 [0,0,0,0,59319] 2 24336ba4 [0,0,0,-22815,1305018] 2
24336bb (2 curves)	0	2- 3+ 13+	2- 3+  0  5  0 13+  0  8
Curve Equation t 24336bb1 [0,0,0,0,-1485172] 1 24336bb2 [0,0,0,0,40099644] 1
24336bc (2 curves)	2	2- 3+ 13+	2- 3+  0 -5  0 13+  0 -8
Curve Equation t Generators 24336bc1 [0,0,0,0,-676] 1 [10:18:1]&[13:39:1] 24336bc2 [0,0,0,0,18252] 1 [-26:26:1]&[-3:135:1]
24336bd (2 curves)	0	2- 3+ 13+	2- 3+  2 -2 -4 13+  0 -6
Curve Equation t 24336bd1 [0,0,0,-8619,-593190] 2 24336bd2 [0,0,0,-170859,-27168102] 2
24336be (2 curves)	0	2- 3+ 13+	2- 3+ -2 -2  4 13+  0 -6
Curve Equation t 24336be1 [0,0,0,-77571,16016130] 2 24336be2 [0,0,0,-1537731,733538754] 2
24336bf (2 curves)	0	2- 3+ 13+	2- 3+  4  4  4 13+  0  0
Curve Equation t 24336bf1 [0,0,0,-255528,-50717745] 2 24336bf2 [0,0,0,-4111263,-3208564710] 2
24336bg (2 curves)	0	2- 3+ 13+	2- 3+ -4  4 -4 13+  0  0
Curve Equation t 24336bg1 [0,0,0,-28392,1878435] 2 24336bg2 [0,0,0,-456807,118835730] 2
24336bh (4 curves)	1	2- 3- 13+	2- 3-  0  2  0 13+  6  2
Curve Equation t Generators 24336bh1 [0,0,0,-20280,24167] 2 [12493:1396278:1] 24336bh2 [0,0,0,-225615,41132234] 2 [99970:-11167351:8] 24336bh3 [0,0,0,-1115400,-453410269] 2 [-5984602234:362098555:9800344] 24336bh4 [0,0,0,-1138215,-433894318] 2 [5257121542945090:-585822564636370711:420189749000]
24336bi (1 curve)	1	2- 3- 13+	2- 3-  1  2  2 13+ -5  2
Curve Equation t Generators 24336bi1 [0,0,0,-507,-168662] 1 [143:1638:1]
24336bj (2 curves)	1	2- 3- 13+	2- 3-  1 -2 -2 13+  7  6
Curve Equation t Generators 24336bj1 [0,0,0,-243867,46897162] 1 [-169:9126:1] 24336bj2 [0,0,0,-1825707,-5279158118] 1 [612287:479105874:1]
24336bk (2 curves)	1	2- 3- 13+	2- 3-  1 -4  4 13+ -3  0
Curve Equation t Generators 24336bk1 [0,0,0,19773,4626882] 1 [207:4194:1] 24336bk2 [0,0,0,-9471267,-11223273438] 1 [794197526215739781:-4286452810875015834:222666225879131]
24336bl (2 curves)	1	2- 3- 13+	2- 3- -1  1  2 13+  3  6
Curve Equation t Generators 24336bl1 [0,0,0,-65403,9846954] 1 [-65:3718:1] 24336bl2 [0,0,0,-5175963,-4972949046] 1 [1184854332935:-58503611013562:294079625]
24336bm (2 curves)	1	2- 3- 13+	2- 3- -1  2  2 13+  7 -6
Curve Equation t Generators 24336bm1 [0,0,0,-1443,21346] 1 [23:18:1] 24336bm2 [0,0,0,-10803,-2402894] 1 [23155:174654:125]
24336bn (1 curve)	1	2- 3- 13+	2- 3- -1 -2 -2 13+ -5 -2
Curve Equation t Generators 24336bn1 [0,0,0,-85683,-370550414] 1 [4783783:106417674:4913]
24336bo (2 curves)	1	2- 3- 13+	2- 3- -1  4 -4 13+ -3  0
Curve Equation t Generators 24336bo1 [0,0,0,117,2106] 1 [-9:18:1] 24336bo2 [0,0,0,-56043,-5108454] 1 [126795:3916602:125]
24336bp (1 curve)	1	2- 3- 13+	2- 3-  2  1 -2 13+  4  4
Curve Equation t Generators 24336bp1 [0,0,0,-624,-13988] 1 [66:482:1]
24336bq (1 curve)	1	2- 3- 13+	2- 3-  2  1  5 13+ -3 -3
Curve Equation t Generators 24336bq1 [0,0,0,-257049,50124555] 1 [-60446794:161849845:103823]
24336br (2 curves)	1	2- 3- 13+	2- 3-  2 -2  2 13+ -6 -6
Curve Equation t Generators 24336br1 [0,0,0,-6084,-177957] 2 [549:12726:1] 24336br2 [0,0,0,1521,-593190] 2 [1499358:35073765:2744]
24336bs (4 curves)	1	2- 3- 13+	2- 3-  2  4  4 13+ -2 -8
Curve Equation t Generators 24336bs1 [0,0,0,-475059,2631149170] 2 [420706:96469425:8] 24336bs2 [0,0,0,-31625139,67828266610] 4 [9284893534150:75072506927418:3209046875] 24336bs3 [0,0,0,-56934579,-56081689742] 2 [-1674101:154874304:1331] 24336bs4 [0,0,0,-504716979,4364353739122] 2 [199324775:-657427914:15625]
24336bt (4 curves)	1	2- 3- 13+	2- 3-  2 -4 -4 13+ -2  0
Curve Equation t Generators 24336bt1 [0,0,0,11661,-1032590] 2 [897:27040:1] 24336bt2 [0,0,0,-110019,-12105470] 4 [953:27360:1] 24336bt3 [0,0,0,-475059,114125362] 2 [-481:15210:1] 24336bt4 [0,0,0,-1691859,-847000622] 2 [-751:144:1]
24336bu (1 curve)	1	2- 3- 13+	2- 3- -2 -1  2 13+  4 -4
Curve Equation t Generators 24336bu1 [0,0,0,-105456,-30731636] 1 [1014:30082:1]
24336bv (1 curve)	1	2- 3- 13+	2- 3- -2 -1 -5 13+ -3  3
Curve Equation t Generators 24336bv1 [0,0,0,-1521,22815] 1 [22:1:1]
24336bw (2 curves)	1	2- 3- 13+	2- 3-  3  2 -6 13+  3  2
Curve Equation t Generators 24336bw1 [0,0,0,-8931,568802] 1 [-17:846:1] 24336bw2 [0,0,0,75309,-10635118] 1 [320795:16338798:125]
24336bx (2 curves)	1	2- 3- 13+	2- 3-  3  4  0 13+ -3 -2
Curve Equation t Generators 24336bx1 [0,0,0,-6591,-628342] 1 [79430:1983384:125] 24336bx2 [0,0,0,-797511,-274128478] 1 [1568449810:718513128:1520875]
24336by (3 curves)	1	2- 3- 13+	2- 3- -3 -1 -6 13+  3  2
Curve Equation t Generators 24336by1 [0,0,0,11661,795314] 1 [65:-1352:1] 24336by2 [0,0,0,-110019,-27994174] 1 [1937:83824:1] 24336by3 [0,0,0,-11182899,-14393948686] 1 [62815025:1171524224:15625]
24336bz (2 curves)	1	2- 3- 13+	2- 3- -3 -2  6 13+  3 -2
Curve Equation t Generators 24336bz1 [0,0,0,-1509339,1249657994] 1 [1183:33462:1] 24336bz2 [0,0,0,12727221,-23365354246] 1 [2263:130482:1]
24336ca (2 curves)	1	2- 3- 13+	2- 3- -3 -4  0 13+ -3  2
Curve Equation t Generators 24336ca1 [0,0,0,-39,-286] 1 [10:18:1] 24336ca2 [0,0,0,-4719,-124774] 1 [322:5634:1]
24336cb (2 curves)	1	2- 3- 13+	2- 3- -4 -2  4 13+ -2 -2
Curve Equation t Generators 24336cb1 [0,0,0,-8112,252655] 2 [221:3042:1] 24336cb2 [0,0,0,-30927,-1823510] 2 [-78:338:1]
24336cc (4 curves)	0	2- 3- 13-	2- 3-  2  2  0 13- -2 -6
Curve Equation t 24336cc1 [0,0,0,6981,-92950] 2 24336cc2 [0,0,0,-30459,-774358] 2 24336cc3 [0,0,0,-638859,196663610] 2 24336cc4 [0,0,0,-10223499,12581935418] 2
24336cd (2 curves)	0	2- 3- 13-	2- 3-  2 -4 -6 13- -2  0
Curve Equation t 24336cd1 [0,0,0,-26364,-371293] 2 24336cd2 [0,0,0,-322959,-70545670] 2
24336ce (4 curves)	0	2- 3- 13-	2- 3- -2 -2  0 13- -2  6
Curve Equation t 24336ce1 [0,0,0,1179789,-204211150] 2 24336ce2 [0,0,0,-5147571,-1701264526] 2 24336ce3 [0,0,0,-107967171,432069951170] 2 24336ce4 [0,0,0,-1727771331,27642512113346] 2
24336cf (2 curves)	0	2- 3- 13-	2- 3- -2  4  6 13- -2  0
Curve Equation t 24336cf1 [0,0,0,-156,-169] 2 24336cf2 [0,0,0,-1911,-32110] 2
24336cg (2 curves)	0	2- 3- 13-	2- 3-  3  3  0 13-  3  6
Curve Equation t 24336cg1 [0,0,0,429,-10478] 1 24336cg2 [0,0,0,-46371,3907618] 1
24336ch (2 curves)	0	2- 3- 13-	2- 3- -3 -3  0 13-  3 -6
Curve Equation t 24336ch1 [0,0,0,72501,-23020166] 1 24336ch2 [0,0,0,-7836699,8585036746] 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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