Cremona's table of elliptic curves

89298 = 2 · 3² · 11² · 41

Class	r	Atkin-Lehner	Eigenvalues
89298a (2 curves)	1	2+ 3+ 11+ 41+	2+ 3+  0  4 11+ -2 -6  4
Curve Equation t Generators 89298a1 [1,-1,0,-72,-16] 2 [-4:16:1] 89298a2 [1,-1,0,-732,7772] 2 [-14:130:1]
89298b (2 curves)	1	2+ 3+ 11+ 41+	2+ 3+  0 -4 11+  2 -6 -4
Curve Equation t Generators 89298b1 [1,-1,0,-78612,-1203328] 2 [-16:232:1] 89298b2 [1,-1,0,-797352,272924108] 2 [212:10542:1]
89298c (1 curve)	0	2+ 3+ 11- 41+	2+ 3+ -1  4 11-  5  1  3
Curve Equation t 89298c1 [1,-1,0,885,6309] 1
89298d (1 curve)	0	2+ 3+ 11- 41+	2+ 3+  4  3 11-  0 -3  4
Curve Equation t 89298d1 [1,-1,0,-222360,29271248] 1
89298e (1 curve)	2	2+ 3+ 11- 41+	2+ 3+ -4 -3 11-  0 -3 -4
Curve Equation t Generators 89298e1 [1,-1,0,-204,864] 1 [4:-12:1]&[3:15:1]
89298f (2 curves)	1	2+ 3+ 11- 41-	2+ 3+  0  1 11-  4  3  4
Curve Equation t Generators 89298f1 [1,-1,0,-3867,-57051] 1 [-1230:4711:27] 89298f2 [1,-1,0,-130587,18193445] 1 [182:565:1]
89298g (2 curves)	1	2+ 3+ 11- 41-	2+ 3+  0 -1 11- -4  3 -4
Curve Equation t Generators 89298g1 [1,-1,0,-1755672,895699008] 3 [-272:36920:1] 89298g2 [1,-1,0,-4211367,-2083932163] 1 [-511938:16988129:729]
89298h (1 curve)	1	2+ 3+ 11- 41-	2+ 3+  3 -2 11-  3 -2  4
Curve Equation t Generators 89298h1 [1,-1,0,-6738,-569772] 1 [52141635:586056912:274625]
89298i (1 curve)	1	2+ 3+ 11- 41-	2+ 3+ -3  2 11- -3 -2 -4
Curve Equation t Generators 89298i1 [1,-1,0,-501,-11467] 1 [73:544:1]
89298j (1 curve)	0	2+ 3- 11+ 41+	2+ 3-  3  3 11+ -6 -3  3
Curve Equation t 89298j1 [1,-1,0,32697,1421437] 1
89298k (1 curve)	1	2+ 3- 11+ 41-	2+ 3-  3 -3 11+ -2  7  5
Curve Equation t Generators 89298k1 [1,-1,0,-5418,-191372] 1 [1796:75134:1]
89298l (1 curve)	1	2+ 3- 11- 41+	2+ 3-  0  1 11- -6  7  4
Curve Equation t Generators 89298l1 [1,-1,0,-133484742,-583614340556] 1 [78030526228:48035526008086:205379]
89298m (1 curve)	1	2+ 3- 11- 41+	2+ 3-  0 -1 11-  6  5 -4
Curve Equation t Generators 89298m1 [1,-1,0,-1557,23733] 1 [18:27:1]
89298n (2 curves)	1	2+ 3- 11- 41+	2+ 3-  0  2 11-  0  2 -4
Curve Equation t Generators 89298n1 [1,-1,0,-11141037,-14296734171] 2 [-23985343:-5790033:12167] 89298n2 [1,-1,0,-8353197,-21628195803] 2 [14644535000219:-354923300253771:3659383421]
89298o (4 curves)	1	2+ 3- 11- 41+	2+ 3-  0  4 11- -2  6  4
Curve Equation t Generators 89298o1 [1,-1,0,-33416532,74359900368] 2 [20793:2882532:1] 89298o2 [1,-1,0,-33242292,75173566320] 2 [252964143:35075803932:12167] 89298o3 [1,-1,0,-39705507,44427146517] 2 [85464336:11757435519:4096] 89298o4 [1,-1,0,138716253,333577450773] 2 [4665412698275952:767849565600973737:244844425216]
89298p (2 curves)	1	2+ 3- 11- 41+	2+ 3-  0  4 11- -6 -2  4
Curve Equation t Generators 89298p1 [1,-1,0,-27792,1716160] 2 [-120:1880:1] 89298p2 [1,-1,0,15768,6568744] 2 [47:2699:1]
89298q (1 curve)	1	2+ 3- 11- 41+	2+ 3-  1 -2 11-  2 -3 -3
Curve Equation t Generators 89298q1 [1,-1,0,-369,-4779] 1 [261:4068:1]
89298r (1 curve)	1	2+ 3- 11- 41+	2+ 3-  1 -3 11-  2 -5 -1
Curve Equation t Generators 89298r1 [1,-1,0,-521109,203466357] 1 [-822:9123:1]
89298s (2 curves)	1	2+ 3- 11- 41+	2+ 3-  2 -2 11-  4 -2  8
Curve Equation t Generators 89298s1 [1,-1,0,-72441,7480237] 2 [-246:3343:1] 89298s2 [1,-1,0,-28881,16357765] 2 [113:3755:1]
89298t (2 curves)	1	2+ 3- 11- 41+	2+ 3-  2 -2 11- -4 -2  0
Curve Equation t Generators 89298t1 [1,-1,0,-494293311,-4229728710003] 2 [869384644034329636487709281235478953146079999:-359375550095761455821039192413440463437332861337:5012282183570912743316320483796381012897] 89298t2 [1,-1,0,-493596351,-4242251826675] 2 [583698543205879309847859273:39933665739895858239352417122:20924231733640024597261]
89298u (2 curves)	1	2+ 3- 11- 41+	2+ 3-  2  4 11- -4 -2 -6
Curve Equation t Generators 89298u1 [1,-1,0,-1656,13932] 2 [-14:192:1] 89298u2 [1,-1,0,-12546,-528390] 2 [-7195:6576:125]
89298v (1 curve)	1	2+ 3- 11- 41+	2+ 3- -2  0 11- -1 -3  7
Curve Equation t Generators 89298v1 [1,-1,0,-206388,133877200] 1 [-553:9146:1]
89298w (2 curves)	1	2+ 3- 11- 41+	2+ 3- -2 -2 11- -4  6  0
Curve Equation t Generators 89298w1 [1,-1,0,-827118,221202900] 2 [10101:1006086:1] 89298w2 [1,-1,0,1960722,1390422996] 2 [-525:14964:1]
89298x (2 curves)	1	2+ 3- 11- 41+	2+ 3- -2 -2 11- -4  6 -8
Curve Equation t Generators 89298x1 [1,-1,0,-1012248,-391739540] 2 [757192:18392497:512] 89298x2 [1,-1,0,-1001358,-400588754] 2 [41230:2878303:8]
89298y (1 curve)	1	2+ 3- 11- 41+	2+ 3- -3 -1 11-  6 -7 -1
Curve Equation t Generators 89298y1 [1,-1,0,-2593476,2786150736] 1 [-789:66279:1]
89298z (2 curves)	1	2+ 3- 11- 41+	2+ 3- -3 -2 11-  1  3 -5
Curve Equation t Generators 89298z1 [1,-1,0,-1656,85806] 1 [69:510:1] 89298z2 [1,-1,0,14679,-2119419] 1 [750:1803:8]
89298ba (2 curves)	1	2+ 3- 11- 41+	2+ 3-  4  0 11-  2 -2 -4
Curve Equation t Generators 89298ba1 [1,-1,0,-29970,-1985472] 2 [729:18693:1] 89298ba2 [1,-1,0,-19080,-3455622] 2 [90795:2344413:125]
89298bb (1 curve)	0	2+ 3- 11- 41-	2+ 3-  0  4 11- -3 -2 -2
Curve Equation t 89298bb1 [1,-1,0,-218367,39332277] 1
89298bc (1 curve)	0	2+ 3- 11- 41-	2+ 3-  1 -4 11- -2  1  7
Curve Equation t 89298bc1 [1,-1,0,-104411709,-414179687003] 1
89298bd (1 curve)	0	2+ 3- 11- 41-	2+ 3- -2  0 11-  1  0  2
Curve Equation t 89298bd1 [1,-1,0,-79173,8676949] 1
89298be (1 curve)	0	2+ 3- 11- 41-	2+ 3-  3  2 11- -6 -1 -7
Curve Equation t 89298be1 [1,-1,0,522,-39308] 1
89298bf (2 curves)	0	2+ 3- 11- 41-	2+ 3-  3  4 11- -5  3 -5
Curve Equation t 89298bf1 [1,-1,0,-7889283,8536145877] 1 89298bf2 [1,-1,0,7514622,36098821908] 1
89298bg (2 curves)	0	2+ 3- 11- 41-	2+ 3-  3 -4 11-  5 -6 -4
Curve Equation t 89298bg1 [1,-1,0,522,13932] 1 89298bg2 [1,-1,0,-32148,2228958] 3
89298bh (1 curve)	0	2+ 3- 11- 41-	2+ 3- -3  2 11- -1  5  1
Curve Equation t 89298bh1 [1,-1,0,-45216,-3789824] 1
89298bi (1 curve)	0	2+ 3- 11- 41-	2+ 3- -3 -5 11-  6  5  1
Curve Equation t 89298bi1 [1,-1,0,-10500504471,414158055226141] 1
89298bj (1 curve)	0	2+ 3- 11- 41-	2+ 3-  4 -1 11-  6  7  4
Curve Equation t 89298bj1 [1,-1,0,-661590,-136464872] 1
89298bk (1 curve)	0	2+ 3- 11- 41-	2+ 3-  4 -3 11- -2  3 -4
Curve Equation t 89298bk1 [1,-1,0,-23535,-1383827] 1
89298bl (2 curves)	1	2- 3+ 11+ 41-	2- 3+  0  4 11+ -2  6  4
Curve Equation t Generators 89298bl1 [1,-1,1,-650,1081] 2 [-25:47:1] 89298bl2 [1,-1,1,-6590,-203255] 2 [-6095:5281:125]
89298bm (2 curves)	1	2- 3+ 11+ 41-	2- 3+  0 -4 11+  2  6 -4
Curve Equation t Generators 89298bm1 [1,-1,1,-8735,47479] 2 [-7:332:1] 89298bm2 [1,-1,1,-88595,-10078769] 2 [-58303:103804:343]
89298bn (2 curves)	1	2- 3+ 11- 41+	2- 3+  0  1 11-  4 -3  4
Curve Equation t Generators 89298bn1 [1,-1,1,-14510,-668995] 1 [-69:43:1] 89298bn2 [1,-1,1,-34805,1575181] 1 [-161:1808:1]
89298bo (2 curves)	1	2- 3+ 11- 41+	2- 3+  0 -1 11- -4 -3 -4
Curve Equation t Generators 89298bo1 [1,-1,1,-467930,77338649] 3 [-393:14353:1] 89298bo2 [1,-1,1,-15801050,-24168072167] 1 [-284005:161947:125]
89298bp (1 curve)	1	2- 3+ 11- 41+	2- 3+  3  2 11- -3  2 -4
Curve Equation t Generators 89298bp1 [1,-1,1,-56,443] 1 [-3:25:1]
89298bq (1 curve)	1	2- 3+ 11- 41+	2- 3+ -3 -2 11-  3  2  4
Curve Equation t Generators 89298bq1 [1,-1,1,-60644,15444487] 1 [91:-3313:1]
89298br (1 curve)	0	2- 3+ 11- 41-	2- 3+  1  4 11-  5 -1  3
Curve Equation t 89298br1 [1,-1,1,7963,-178307] 1
89298bs (1 curve)	0	2- 3+ 11- 41-	2- 3+  4 -3 11-  0  3 -4
Curve Equation t 89298bs1 [1,-1,1,-1838,-21491] 1
89298bt (1 curve)	0	2- 3+ 11- 41-	2- 3+ -4  3 11-  0  3  4
Curve Equation t 89298bt1 [1,-1,1,-24707,-1075885] 1
89298bu (1 curve)	1	2- 3- 11+ 41+	2- 3-  3  3 11+  2 -7 -5
Curve Equation t Generators 89298bu1 [1,-1,1,-655601,256682913] 1 [-393:21492:1]
89298bv (1 curve)	0	2- 3- 11+ 41-	2- 3-  3 -3 11+  6  3 -3
Curve Equation t 89298bv1 [1,-1,1,3956314,-1903801611] 1
89298bw (2 curves)	0	2- 3- 11- 41+	2- 3-  0  2 11- -2 -6  0
Curve Equation t 89298bw1 [1,-1,1,-90410,7489221] 2 89298bw2 [1,-1,1,-536900,-145388955] 2
89298bx (2 curves)	0	2- 3- 11- 41+	2- 3-  0  2 11-  6  2  8
Curve Equation t 89298bx1 [1,-1,1,-12532235,2526737051] 2 89298bx2 [1,-1,1,-126833675,-547080307045] 2
89298by (1 curve)	0	2- 3- 11- 41+	2- 3-  0 -4 11-  3  2  2
Curve Equation t 89298by1 [1,-1,1,-1805,-29059] 1
89298bz (1 curve)	0	2- 3- 11- 41+	2- 3-  1  1 11-  2 -1 -1
Curve Equation t 89298bz1 [1,-1,1,9778,-238323] 1
89298ca (1 curve)	0	2- 3- 11- 41+	2- 3-  1  4 11- -1 -3  3
Curve Equation t 89298ca1 [1,-1,1,-1787072,1480539107] 1
89298cb (1 curve)	0	2- 3- 11- 41+	2- 3-  1  4 11-  2 -1 -7
Curve Equation t 89298cb1 [1,-1,1,-862907,311414667] 1
89298cc (1 curve)	0	2- 3- 11- 41+	2- 3- -1 -2 11-  7  7 -7
Curve Equation t 89298cc1 [1,-1,1,-294053,-61318155] 1
89298cd (1 curve)	0	2- 3- 11- 41+	2- 3- -2  0 11- -1  0 -2
Curve Equation t 89298cd1 [1,-1,1,-9579956,-11520279273] 1
89298ce (1 curve)	0	2- 3- 11- 41+	2- 3-  3 -2 11-  6  1  7
Curve Equation t 89298ce1 [1,-1,1,63139,52129509] 1
89298cf (2 curves)	0	2- 3- 11- 41+	2- 3-  3  4 11- -5  6  4
Curve Equation t 89298cf1 [1,-1,1,63139,-18732931] 1 89298cf2 [1,-1,1,-3889931,-2955073327] 1
89298cg (2 curves)	2	2- 3- 11- 41+	2- 3- -3 -5 11- -2 -3 -5
Curve Equation t Generators 89298cg1 [1,-1,1,-69719,7109039] 1 [-87:3580:1]&[157:42:1] 89298cg2 [1,-1,1,82741,31807559] 1 [-129:4420:1]&[-41:5344:1]
89298ch (1 curve)	0	2- 3- 11- 41+	2- 3-  4  1 11- -6 -7 -4
Curve Equation t 89298ch1 [1,-1,1,-5468,104019] 1
89298ci (2 curves)	0	2- 3- 11- 41+	2- 3-  4 -2 11-  2  2  8
Curve Equation t 89298ci1 [1,-1,1,-12866558,16609851789] 2 89298ci2 [1,-1,1,-41441918,-82946702451] 2
89298cj (2 curves)	0	2- 3- 11- 41+	2- 3-  4 -2 11-  2 -6  0
Curve Equation t 89298cj1 [1,-1,1,-119813,-15596611] 2 89298cj2 [1,-1,1,-1905773,-1012162291] 2
89298ck (1 curve)	0	2- 3- 11- 41+	2- 3-  4  3 11-  2 -3  4
Curve Equation t 89298ck1 [1,-1,1,-2847758,1850416989] 1
89298cl (1 curve)	1	2- 3- 11- 41-	2- 3-  0  1 11- -6 -5  4
Curve Equation t Generators 89298cl1 [1,-1,1,-188420,-31023385] 1 [-249:763:1]
89298cm (1 curve)	1	2- 3- 11- 41-	2- 3-  0 -1 11-  6 -7 -4
Curve Equation t Generators 89298cm1 [1,-1,1,-1103180,438778959] 1 [257:12993:1]
89298cn (1 curve)	1	2- 3- 11- 41-	2- 3-  1  0 11-  1  3  5
Curve Equation t Generators 89298cn1 [1,-1,1,-12002,785337] 1 [-85:1131:1]
89298co (1 curve)	1	2- 3- 11- 41-	2- 3-  1  2 11- -2  3  3
Curve Equation t Generators 89298co1 [1,-1,1,-44672,6494843] 1 [1623:64051:1]
89298cp (1 curve)	1	2- 3- 11- 41-	2- 3-  1 -5 11-  6 -7  5
Curve Equation t Generators 89298cp1 [1,-1,1,-163514462,-1336244550627] 1 [48843:10329185:1]
89298cq (2 curves)	1	2- 3- 11- 41-	2- 3- -1  2 11-  1 -7 -5
Curve Equation t Generators 89298cq1 [1,-1,1,-190598,-1000165867] 1 [2313:103387:1] 89298cq2 [1,-1,1,-631113638,-6102365730667] 1 [34191:3488395:1]
89298cr (4 curves)	1	2- 3- 11- 41-	2- 3-  2  0 11-  6 -6  4
Curve Equation t Generators 89298cr1 [1,-1,1,-369194,71292521] 4 [-687:919:1] 89298cr2 [1,-1,1,-1763114,-835313047] 4 [-929:919:1] 89298cr3 [1,-1,1,1808806,-3792862807] 2 [2602483:-8552835:2197] 89298cr4 [1,-1,1,-27637754,-55917246679] 2 [7281430455:-13259547290621:2197]
89298cs (4 curves)	1	2- 3- 11- 41-	2- 3-  2 -4 11- -2  2  4
Curve Equation t Generators 89298cs1 [1,-1,1,-9824,352883] 2 [-93:721:1] 89298cs2 [1,-1,1,-31604,-1737997] 4 [-3237:16805:27] 89298cs3 [1,-1,1,66406,-10441285] 2 [2070:38165:8] 89298cs4 [1,-1,1,-478094,-127112389] 2 [-589909530:183473393:1481544]
89298ct (1 curve)	1	2- 3- 11- 41-	2- 3- -2  0 11-  1  3 -7
Curve Equation t Generators 89298ct1 [1,-1,1,-1706,-100119] 1 [161:1863:1]

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