Cremona's table of elliptic curves

24255 = 3² · 5 · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
24255a (2 curves)	1	3+ 5+ 7+ 11+	0 3+ 5+ 7+ 11+ -1  6  2
Curve Equation t Generators 24255a1 [0,0,1,-63798,6202383] 3 [-271:1894:1] 24255a2 [0,0,1,-74088,4067894] 1 [-294:661:1]
24255b (1 curve)	1	3+ 5+ 7+ 11+	-2 3+ 5+ 7+ 11+ -3  0 -1
Curve Equation t Generators 24255b1 [0,0,1,-17493,-20652802] 1 [366:4687:1]
24255c (2 curves)	0	3+ 5+ 7+ 11-	0 3+ 5+ 7+ 11-  5 -6  2
Curve Equation t 24255c1 [0,0,1,-1033998,404694834] 3 24255c2 [0,0,1,-1066338,378031043] 1
24255d (1 curve)	2	3+ 5+ 7+ 11-	-2 3+ 5+ 7+ 11-  1 -8 -5
Curve Equation t Generators 24255d1 [0,0,1,-1323,18534] 1 [56:-347:1]&[-31:172:1]
24255e (1 curve)	0	3+ 5+ 7- 11+	0 3+ 5+ 7- 11+  2  1  5
Curve Equation t 24255e1 [0,0,1,-2058,-37816] 1
24255f (2 curves)	0	3+ 5+ 7- 11+	0 3+ 5+ 7- 11+ -5 -6 -2
Curve Equation t 24255f1 [0,0,1,-5805618,4802394364] 1 24255f2 [0,0,1,-455993118,3747878859989] 1
24255g (2 curves)	0	3+ 5+ 7- 11+	-1 3+ 5+ 7- 11+  2 -2 -4
Curve Equation t 24255g1 [1,-1,1,3717547,-1438435988] 2 24255g2 [1,-1,1,-16954328,-12220885988] 2
24255h (1 curve)	0	3+ 5+ 7- 11+	2 3+ 5+ 7- 11+ -1 -8  5
Curve Equation t 24255h1 [0,0,1,-583443,171645689] 1
24255i (2 curves)	1	3+ 5+ 7- 11-	0 3+ 5+ 7- 11-  1  6 -2
Curve Equation t Generators 24255i1 [0,0,1,-168,439] 1 [1:16:1] 24255i2 [0,0,1,-11718,488234] 1 [498:23:8]
24255j (1 curve)	1	3+ 5+ 7- 11-	0 3+ 5+ 7- 11- -2  1 -5
Curve Equation t Generators 24255j1 [0,0,1,-378,-2977] 1 [63:472:1]
24255k (2 curves)	1	3+ 5+ 7- 11-	-1 3+ 5+ 7- 11- -6  6  4
Curve Equation t Generators 24255k1 [1,-1,1,-83,101602] 2 [2:317:1] 24255k2 [1,-1,1,-33158,2297782] 2 [-40:1906:1]
24255l (1 curve)	1	3+ 5+ 7- 11-	2 3+ 5+ 7- 11-  3  0  1
Curve Equation t Generators 24255l1 [0,0,1,-3213,-1625731] 1 [649166:9039253:2744]
24255m (2 curves)	0	3+ 5- 7+ 11+	0 3+ 5- 7+ 11+  5  6  2
Curve Equation t 24255m1 [0,0,1,-118482,-14001150] 3 24255m2 [0,0,1,-9305982,-10926760525] 1
24255n (1 curve)	0	3+ 5- 7+ 11+	2 3+ 5- 7+ 11+  1  8 -5
Curve Equation t 24255n1 [0,0,1,-11907,-500425] 1
24255o (2 curves)	1	3+ 5- 7+ 11-	0 3+ 5- 7+ 11- -1 -6  2
Curve Equation t Generators 24255o1 [0,0,1,-8232,-150663] 3 [-73:247:1] 24255o2 [0,0,1,-574182,-167464348] 1 [-27996:373:64]
24255p (1 curve)	1	3+ 5- 7+ 11-	2 3+ 5- 7+ 11- -3  0 -1
Curve Equation t Generators 24255p1 [0,0,1,-157437,557625647] 1 [2466:185621:8]
24255q (2 curves)	1	3+ 5- 7- 11+	0 3+ 5- 7- 11+  1 -6 -2
Curve Equation t Generators 24255q1 [0,0,1,-1302,-18083] 1 [-2605:-58:125] 24255q2 [0,0,1,-1512,-11860] 1 [-12:67:1]
24255r (1 curve)	1	3+ 5- 7- 11+	0 3+ 5- 7- 11+ -2 -1 -5
Curve Equation t Generators 24255r1 [0,0,1,-42,110] 1 [0:10:1]
24255s (2 curves)	1	3+ 5- 7- 11+	1 3+ 5- 7- 11+ -6 -6  4
Curve Equation t Generators 24255s1 [1,-1,0,-9,-3760] 2 [878:8711:8] 24255s2 [1,-1,0,-3684,-83875] 2 [100:685:1]
24255t (1 curve)	1	3+ 5- 7- 11+	-2 3+ 5- 7- 11+  3  0  1
Curve Equation t Generators 24255t1 [0,0,1,-357,60212] 1 [162:2062:1]
24255u (1 curve)	0	3+ 5- 7- 11-	0 3+ 5- 7- 11-  2 -1  5
Curve Equation t 24255u1 [0,0,1,-18522,1021025] 1
24255v (2 curves)	0	3+ 5- 7- 11-	0 3+ 5- 7- 11- -5  6 -2
Curve Equation t 24255v1 [0,0,1,-50665902,-138810328148] 1 24255v2 [0,0,1,-52250562,-129664647835] 1
24255w (2 curves)	0	3+ 5- 7- 11-	1 3+ 5- 7- 11-  2  2 -4
Curve Equation t 24255w1 [1,-1,0,413061,53137720] 2 24255w2 [1,-1,0,-1883814,453253345] 2
24255x (1 curve)	0	3+ 5- 7- 11-	-2 3+ 5- 7- 11- -1  8  5
Curve Equation t 24255x1 [0,0,1,-64827,-6357248] 1
24255y (1 curve)	1	3- 5+ 7+ 11-	0 3- 5+ 7+ 11- -1 -4 -2
Curve Equation t Generators 24255y1 [0,0,1,-588,-5427] 1 [-13:4:1]
24255z (2 curves)	1	3- 5+ 7+ 11-	0 3- 5+ 7+ 11- -1  6 -7
Curve Equation t Generators 24255z1 [0,0,1,6490932,-1813419477] 1 [441:33687:1] 24255z2 [0,0,1,-76858068,296428056048] 3 [-5634:742032:1]
24255ba (1 curve)	1	3- 5+ 7+ 11-	2 3- 5+ 7+ 11-  3  4 -2
Curve Equation t Generators 24255ba1 [0,0,1,-37699473,88228128609] 1 [25186:218291:8]
24255bb (1 curve)	1	3- 5+ 7+ 11-	-2 3- 5+ 7+ 11- -5  4 -2
Curve Equation t Generators 24255bb1 [0,0,1,-7203,202284] 1 [-49:661:1]
24255bc (1 curve)	1	3- 5+ 7- 11+	0 3- 5+ 7- 11+  0  3  3
Curve Equation t Generators 24255bc1 [0,0,1,-57918,17341308] 1 [434:8599:1]
24255bd (1 curve)	1	3- 5+ 7- 11+	0 3- 5+ 7- 11+ -3  0 -6
Curve Equation t Generators 24255bd1 [0,0,1,-3738,-39006] 1 [-52:121:1]
24255be (4 curves)	1	3- 5+ 7- 11+	-1 3- 5+ 7- 11+  2 -2  4
Curve Equation t Generators 24255be1 [1,-1,1,-1553,-170544] 2 [2090:94467:1] 24255be2 [1,-1,1,-56678,-5153844] 4 [-130:132:1] 24255be3 [1,-1,1,-89753,1580226] 2 [548:-11079:1] 24255be4 [1,-1,1,-905603,-331480614] 2 [-14829:7465:27]
24255bf (1 curve)	1	3- 5+ 7- 11+	2 3- 5+ 7- 11+  2  1  7
Curve Equation t Generators 24255bf1 [0,0,1,-55713,5078029] 1 [434:11903:8]
24255bg (2 curves)	0	3- 5+ 7- 11-	0 3- 5+ 7- 11-  4  3  1
Curve Equation t 24255bg1 [0,0,1,-588,-318047] 1 24255bg2 [0,0,1,-371028,-86991746] 1
24255bh (4 curves)	0	3- 5+ 7- 11-	1 3- 5+ 7- 11-  2  6 -4
Curve Equation t 24255bh1 [1,-1,0,-4860,-102789] 2 24255bh2 [1,-1,0,-24705,1409400] 4 24255bh3 [1,-1,0,21600,6049161] 2 24255bh4 [1,-1,0,-388530,93311595] 2
24255bi (4 curves)	0	3- 5+ 7- 11-	-1 3- 5+ 7- 11-  2  6 -4
Curve Equation t 24255bi1 [1,-1,1,-89753,10364456] 2 24255bi2 [1,-1,1,-109598,5458772] 4 24255bi3 [1,-1,1,399757,41521106] 2 24255bi4 [1,-1,1,-936473,-344805478] 2
24255bj (2 curves)	0	3- 5+ 7- 11-	-1 3- 5+ 7- 11- -4  2  4
Curve Equation t 24255bj1 [1,-1,1,-85343,-9530818] 2 24255bj2 [1,-1,1,-39038,-19866094] 2
24255bk (1 curve)	0	3- 5+ 7- 11-	-2 3- 5+ 7- 11-  2 -3  5
Curve Equation t 24255bk1 [0,0,1,3657507,2662406388] 1
24255bl (1 curve)	1	3- 5- 7+ 11+	0 3- 5- 7+ 11+  3  0  6
Curve Equation t Generators 24255bl1 [0,0,1,-183162,13378972] 1 [-98:-5513:1]
24255bm (6 curves)	0	3- 5- 7- 11+	1 3- 5- 7- 11+  2 -6  4
Curve Equation t 24255bm1 [1,-1,0,-116874,15408063] 2 24255bm2 [1,-1,0,-119079,14798160] 4 24255bm3 [1,-1,0,112446,65224305] 2 24255bm4 [1,-1,0,-385884,-74688237] 4 24255bm5 [1,-1,0,802611,-444785580] 2 24255bm6 [1,-1,0,-5843259,-5434921962] 2
24255bn (4 curves)	0	3- 5- 7- 11+	1 3- 5- 7- 11+  6  6  4
Curve Equation t 24255bn1 [1,-1,0,-16179,1069928] 2 24255bn2 [1,-1,0,-282984,58006115] 4 24255bn3 [1,-1,0,-307239,47493998] 2 24255bn4 [1,-1,0,-4527609,3709232540] 2
24255bo (2 curves)	0	3- 5- 7- 11+	2 3- 5- 7- 11+  6 -7  5
Curve Equation t 24255bo1 [0,0,1,-3942687,3528777397] 1 24255bo2 [0,0,1,-11814537,-295504559933] 1
24255bp (1 curve)	1	3- 5- 7- 11-	0 3- 5- 7- 11-  1  4  2
Curve Equation t Generators 24255bp1 [0,0,1,-28812,1861375] 1 [25:1075:1]
24255bq (2 curves)	1	3- 5- 7- 11-	0 3- 5- 7- 11-  1 -6  7
Curve Equation t Generators 24255bq1 [0,0,1,132468,5286937] 1 [2137:100237:1] 24255bq2 [0,0,1,-1568532,-864221738] 1 [2326:89842:1]
24255br (1 curve)	1	3- 5- 7- 11-	0 3- 5- 7- 11-  4 -5 -1
Curve Equation t Generators 24255br1 [0,0,1,240198,23640160] 1 [868:29767:1]
24255bs (6 curves)	1	3- 5- 7- 11-	1 3- 5- 7- 11-  2  2 -4
Curve Equation t Generators 24255bs1 [1,-1,0,15426,-214219265] 2 [1785704123575752497474:-73539591704908450533313:1038619762273181431] 24255bs2 [1,-1,0,-5278779,-4584056072] 4 [18952117718744:1478538003656708:2703045457] 24255bs3 [1,-1,0,-11221254,7632484033] 2 [19249907409337763917233958:-1466904683699164163723876363:2691708552570730425992] 24255bs4 [1,-1,0,-84043584,-296533682285] 4 [9618518:1505863421:343] 24255bs5 [1,-1,0,-83626839,-299620345802] 4 [109622:36109394:1] 24255bs6 [1,-1,0,-1344697209,-18979168274060] 2 [7461193656:129762667747:175616]
24255bt (2 curves)	1	3- 5- 7- 11-	1 3- 5- 7- 11- -4 -4  8
Curve Equation t Generators 24255bt1 [1,-1,0,-9,64840] 2 [-122:2041:8] 24255bt2 [1,-1,0,-24264,1437673] 2 [72:209:1]
24255bu (4 curves)	1	3- 5- 7- 11-	-1 3- 5- 7- 11-  2 -6 -4
Curve Equation t Generators 24255bu1 [1,-1,1,-7162952,-7377016174] 2 [3216:51694:1] 24255bu2 [1,-1,1,-7165157,-7372245436] 4 [-1538:3586:1] 24255bu3 [1,-1,1,-5235782,-11433193936] 2 [3642:131581:1] 24255bu4 [1,-1,1,-9129812,-3005996164] 2 [-2294:77709:1]
24255bv (4 curves)	1	3- 5- 7- 11-	-1 3- 5- 7- 11- -2  6  4
Curve Equation t Generators 24255bv1 [1,-1,1,358,1936] 2 [4:56:1] 24255bv2 [1,-1,1,-1847,18694] 4 [-26:233:1] 24255bv3 [1,-1,1,-12872,-545786] 2 [-61:128:1] 24255bv4 [1,-1,1,-26102,1629226] 2 [16:1094:1]
24255bw (2 curves)	1	3- 5- 7- 11-	-1 3- 5- 7- 11-  4 -2 -4
Curve Equation t Generators 24255bw1 [1,-1,1,-1742,28284] 2 [32:-84:1] 24255bw2 [1,-1,1,-797,58146] 2 [86:744:1]
24255bx (4 curves)	1	3- 5- 7- 11-	-1 3- 5- 7- 11- -6  2 -4
Curve Equation t Generators 24255bx1 [1,-1,1,-1392467,43563426] 2 [30:1332:1] 24255bx2 [1,-1,1,-15859472,24255542994] 4 [1178:84303:1] 24255bx3 [1,-1,1,-9608297,43566672804] 2 [11468:-1206357:1] 24255bx4 [1,-1,1,-253582727,1554337501476] 2 [5336:591579:1]
24255by (1 curve)	1	3- 5- 7- 11-	2 3- 5- 7- 11-  2 -3 -1
Curve Equation t Generators 24255by1 [0,0,1,-147,75717] 1 [-14:2201:8]
24255bz (1 curve)	1	3- 5- 7- 11-	2 3- 5- 7- 11- -3 -4  2
Curve Equation t Generators 24255bz1 [0,0,1,-769377,-257224865] 1 [-4126:12371:8]
24255ca (1 curve)	1	3- 5- 7- 11-	-2 3- 5- 7- 11-  5 -4  2
Curve Equation t Generators 24255ca1 [0,0,1,-147,-590] 1 [-5:4:1]

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

Part of Computational Number Theory
Back to Tables and computations