Cremona's table of elliptic curves

36414 = 2 · 3² · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
36414a (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+ -1 7+  3  4 17+  6
Curve Equation t Generators 36414a1 [1,-1,0,-17872545,29093256829] 1 [-3763:209372:1]
36414b (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+ -1 7+  3  4 17+ -8
Curve Equation t Generators 36414b1 [1,-1,0,-15660,-3590098] 1 [209:1390:1]
36414c (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+ -1 7+ -3 -5 17+ -6
Curve Equation t Generators 36414c1 [1,-1,0,45030,-527276] 1 [47:1277:1]
36414d (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+ -1 7+ -5 -4 17+  6
Curve Equation t Generators 36414d1 [1,-1,0,660,4382] 1 [73:625:1]
36414e (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+  3 7+  3 -4 17+ -4
Curve Equation t Generators 36414e1 [1,-1,0,762,-1772] 1 [111:1145:1] 36414e2 [1,-1,0,-11733,-507403] 1 [1126:5709:8]
36414f (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+ -3 7+ -3  5 17+  2
Curve Equation t Generators 36414f1 [1,-1,0,-48606,4138918] 1 [149:359:1] 36414f2 [1,-1,0,42429,17055773] 1 [-1426:16319:8]
36414g (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+  1 7+  1  0 17- -2
Curve Equation t 36414g1 [1,-1,0,-635870859,-9978277627963] 1
36414h (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+ -3 7+  5  4 17- -6
Curve Equation t 36414h1 [1,-1,0,-1769601,-905700419] 1
36414i (1 curve)	0	2+ 3+ 7- 17+	2+ 3+ -1 7- -1  0 17+ -2
Curve Equation t 36414i1 [1,-1,0,-2200245,-2030477131] 1
36414j (1 curve)	0	2+ 3+ 7- 17+	2+ 3+ -1 7- -1 -3 17+ -2
Curve Equation t 36414j1 [1,-1,0,-137040,-25447168] 1
36414k (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  3 7- -5  4 17+ -6
Curve Equation t 36414k1 [1,-1,0,-6123,-182907] 1
36414l (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7- -3  4 17-  6
Curve Equation t Generators 36414l1 [1,-1,0,-5165165559,142914510138717] 1 [63232689:9313996362:2197]
36414m (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7- -3  4 17- -8
Curve Equation t Generators 36414m1 [1,-1,0,-54,-718] 1 [13:19:1]
36414n (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7-  5 -4 17-  6
Curve Equation t Generators 36414n1 [1,-1,0,190686,22291586] 1 [3470:107507:8]
36414o (2 curves)	1	2+ 3+ 7- 17-	2+ 3+ -3 7- -3 -4 17- -4
Curve Equation t Generators 36414o1 [1,-1,0,220164,-7825104] 3 [1158:41037:8] 36414o2 [1,-1,0,-3390891,-2506434427] 1 [228518:38424893:8]
36414p (2 curves)	0	2+ 3- 7+ 17+	2+ 3-  0 7+  0  2 17+ -4
Curve Equation t 36414p1 [1,-1,0,-1975947,-1009423675] 2 36414p2 [1,-1,0,1561413,-4230543691] 2
36414q (1 curve)	2	2+ 3- 7+ 17+	2+ 3-  1 7+ -5 -2 17+ -2
Curve Equation t Generators 36414q1 [1,-1,0,-54,-6804] 1 [45:-306:1]&[198:549:8]
36414r (1 curve)	0	2+ 3- 7+ 17+	2+ 3- -1 7+  0  1 17+  4
Curve Equation t 36414r1 [1,-1,0,-105,557] 1
36414s (4 curves)	0	2+ 3- 7+ 17+	2+ 3-  2 7+  0 -2 17+  4
Curve Equation t 36414s1 [1,-1,0,-48606,-4046140] 2 36414s2 [1,-1,0,-100626,6180992] 4 36414s3 [1,-1,0,341544,45534122] 2 36414s4 [1,-1,0,-1375116,620740070] 2
36414t (6 curves)	0	2+ 3- 7+ 17+	2+ 3- -2 7+  4 -2 17+  4
Curve Equation t 36414t1 [1,-1,0,-182704698,-949310141004] 2 36414t2 [1,-1,0,-235973178,-350583079500] 4 36414t3 [1,-1,0,910131462,-2758090486284] 2 36414t4 [1,-1,0,-2234373498,40374817041780] 4 36414t5 [1,-1,0,-761063058,92822606071164] 2 36414t6 [1,-1,0,-35682089058,2594328654970476] 2
36414u (2 curves)	0	2+ 3- 7+ 17+	2+ 3-  3 7+  0  5 17+ -4
Curve Equation t 36414u1 [1,-1,0,-5277483,-4666149923] 1 36414u2 [1,-1,0,2239407,-16520285453] 1
36414v (1 curve)	0	2+ 3- 7+ 17+	2+ 3-  3 7+ -1  3 17+ -6
Curve Equation t 36414v1 [1,-1,0,2547,162567] 1
36414w (1 curve)	0	2+ 3- 7+ 17+	2+ 3-  3 7+  5  0 17+  6
Curve Equation t 36414w1 [1,-1,0,16317,-346923] 1
36414x (3 curves)	0	2+ 3- 7+ 17+	2+ 3- -3 7+  3  5 17+  2
Curve Equation t 36414x1 [1,-1,0,280854,-1546117772] 1 36414x2 [1,-1,0,-2528226,41794053916] 1 36414x3 [1,-1,0,-992806956,12041183422498] 1
36414y (1 curve)	2	2+ 3- 7+ 17+	2+ 3- -4 7+  0 -2 17+  3
Curve Equation t Generators 36414y1 [1,-1,0,-10764,432544] 1 [51:94:1]&[60:-28:1]
36414z (2 curves)	2	2+ 3- 7+ 17+	2+ 3- -4 7+ -6 -2 17+  0
Curve Equation t Generators 36414z1 [1,-1,0,-156114,-2746796] 2 [2580:-130762:1]&[-1970:37399:8] 36414z2 [1,-1,0,-1820754,-943268396] 2 [-769:1685:1]&[-6066:10775:8]
36414ba (1 curve)	1	2+ 3- 7+ 17-	2+ 3-  0 7+ -4 -2 17- -3
Curve Equation t Generators 36414ba1 [1,-1,0,-502047,115653325] 1 [8862:827185:1]
36414bb (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -1 7+  3  0 17-  0
Curve Equation t Generators 36414bb1 [1,-1,0,-236745,44552389] 1 [-361:9284:1]
36414bc (1 curve)	1	2+ 3- 7+ 17-	2+ 3-  3 7+ -1  4 17-  0
Curve Equation t Generators 36414bc1 [1,-1,0,2547,-59963] 1 [167:2153:1]
36414bd (2 curves)	1	2+ 3- 7- 17+	2+ 3-  0 7-  0  2 17+ -4
Curve Equation t Generators 36414bd1 [1,-1,0,-6837,-203851] 2 [-55:87:1] 36414bd2 [1,-1,0,5403,-862363] 2 [166:-2225:1]
36414be (2 curves)	1	2+ 3- 7- 17+	2+ 3-  0 7- -2 -2 17+  0
Curve Equation t Generators 36414be1 [1,-1,0,-46872,3900204] 2 [-174:2688:1] 36414be2 [1,-1,0,-72882,-890838] 2 [-191:2552:1]
36414bf (1 curve)	1	2+ 3- 7- 17+	2+ 3-  0 7-  4 -2 17+ -3
Curve Equation t Generators 36414bf1 [1,-1,0,-1737,23949] 1 [130:1343:1]
36414bg (1 curve)	1	2+ 3- 7- 17+	2+ 3-  1 7- -3  0 17+  0
Curve Equation t Generators 36414bg1 [1,-1,0,-819,9261] 1 [21:21:1]
36414bh (4 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7-  0 -6 17+  0
Curve Equation t Generators 36414bh1 [1,-1,0,2547,-13367835] 2 [1509:57768:1] 36414bh2 [1,-1,0,-829773,-285536475] 4 [5250:371595:1] 36414bh3 [1,-1,0,-1766133,477971469] 2 [-1245:27933:1] 36414bh4 [1,-1,0,-13210533,-18477825219] 2 [729945:39846303:125]
36414bi (6 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7- -4  6 17+ -4
Curve Equation t Generators 36414bi1 [1,-1,0,-10458,-906444] 2 [260705:11758674:125] 36414bi2 [1,-1,0,-218538,-39234780] 4 [624:7878:1] 36414bi3 [1,-1,0,-270558,-19103040] 4 [-191:5153:1] 36414bi4 [1,-1,0,-3495798,-2514876984] 2 [8427:748389:1] 36414bi5 [1,-1,0,1003932,-148336326] 2 [1951:95117:1] 36414bi6 [1,-1,0,-2377368,1397937366] 2 [-497:49812:1]
36414bj (1 curve)	1	2+ 3- 7- 17+	2+ 3-  3 7-  1  1 17+  6
Curve Equation t Generators 36414bj1 [1,-1,0,-5732658,5415249492] 1 [176337:73953198:1]
36414bk (1 curve)	1	2+ 3- 7- 17+	2+ 3- -3 7-  1  4 17+  0
Curve Equation t Generators 36414bk1 [1,-1,0,736029,-291654027] 1 [357:3885:1]
36414bl (1 curve)	0	2+ 3- 7- 17-	2+ 3-  1 7-  0  1 17-  4
Curve Equation t 36414bl1 [1,-1,0,-30399,2615021] 1
36414bm (1 curve)	0	2+ 3- 7- 17-	2+ 3- -1 7-  5 -2 17- -2
Curve Equation t 36414bm1 [1,-1,0,-15660,-33490616] 1
36414bn (2 curves)	0	2+ 3- 7- 17-	2+ 3- -3 7-  0  5 17- -4
Curve Equation t 36414bn1 [1,-1,0,-18261,-945459] 1 36414bn2 [1,-1,0,7749,-3364389] 3
36414bo (1 curve)	0	2+ 3- 7- 17-	2+ 3- -3 7- -5  0 17-  6
Curve Equation t 36414bo1 [1,-1,0,4715559,-1685570387] 1
36414bp (1 curve)	0	2+ 3- 7- 17-	2+ 3-  4 7-  0 -2 17-  3
Curve Equation t 36414bp1 [1,-1,0,-3110850,2112645348] 1
36414bq (1 curve)	0	2- 3+ 7+ 17+	2- 3+  1 7+  3 -5 17+ -6
Curve Equation t 36414bq1 [1,-1,1,405268,13831183] 1
36414br (1 curve)	0	2- 3+ 7+ 17+	2- 3+  1 7+ -3  4 17+  6
Curve Equation t 36414br1 [1,-1,1,-160852907,-785357081477] 1
36414bs (1 curve)	0	2- 3+ 7+ 17+	2- 3+  1 7+ -3  4 17+ -8
Curve Equation t 36414bs1 [1,-1,1,-140942,97073587] 1
36414bt (1 curve)	0	2- 3+ 7+ 17+	2- 3+  1 7+  5 -4 17+  6
Curve Equation t 36414bt1 [1,-1,1,73,-187] 1
36414bu (2 curves)	0	2- 3+ 7+ 17+	2- 3+  3 7+  3  5 17+  2
Curve Equation t 36414bu1 [1,-1,1,4714,-633267] 1 36414bu2 [1,-1,1,-437456,-111313331] 1
36414bv (2 curves)	2	2- 3+ 7+ 17+	2- 3+ -3 7+ -3 -4 17+ -4
Curve Equation t Generators 36414bv1 [1,-1,1,-1304,19227] 1 [-39:117:1]&[17:-51:1] 36414bv2 [1,-1,1,6856,40987] 1 [-5:83:1]&[11:337:1]
36414bw (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -1 7+ -1  0 17- -2
Curve Equation t Generators 36414bw1 [1,-1,1,-70652318,369589388845] 1 [2425:-462205:1]
36414bx (1 curve)	1	2- 3+ 7+ 17-	2- 3+  3 7+ -5  4 17- -6
Curve Equation t Generators 36414bx1 [1,-1,1,-15926411,24469837723] 1 [8887:760250:1]
36414by (1 curve)	1	2- 3+ 7- 17+	2- 3+  1 7-  1  0 17+ -2
Curve Equation t Generators 36414by1 [1,-1,1,-244472,75284347] 1 [301:-5527:1]
36414bz (1 curve)	1	2- 3+ 7- 17+	2- 3+  1 7-  1 -3 17+ -2
Curve Equation t Generators 36414bz1 [1,-1,1,-15227,947563] 1 [13:860:1]
36414ca (1 curve)	1	2- 3+ 7- 17+	2- 3+ -3 7-  5  4 17+ -6
Curve Equation t Generators 36414ca1 [1,-1,1,-55109,4993597] 1 [145:116:1]
36414cb (1 curve)	0	2- 3+ 7- 17-	2- 3+ -1 7-  3  4 17-  6
Curve Equation t 36414cb1 [1,-1,1,-46486490033,-3858645287255327] 1
36414cc (1 curve)	0	2- 3+ 7- 17-	2- 3+ -1 7-  3  4 17- -8
Curve Equation t 36414cc1 [1,-1,1,-488,19873] 1
36414cd (1 curve)	0	2- 3+ 7- 17-	2- 3+ -1 7- -5 -4 17-  6
Curve Equation t 36414cd1 [1,-1,1,21187,-832677] 1
36414ce (2 curves)	0	2- 3+ 7- 17-	2- 3+  3 7-  3 -4 17- -4
Curve Equation t 36414ce1 [1,-1,1,-376766,92956493] 3 36414ce2 [1,-1,1,1981474,209296333] 1
36414cf (6 curves)	1	2- 3- 7+ 17+	2- 3-  0 7+  0 -4 17+  2
Curve Equation t Generators 36414cf1 [1,-1,1,-1355,-38505] 2 [63507528:771643475:373248] 36414cf2 [1,-1,1,-27365,-1734357] 2 [43604:1078389:64] 36414cf3 [1,-1,1,11650,809421] 2 [107:1755:1] 36414cf4 [1,-1,1,-92390,8882925] 2 [455:7575:1] 36414cf5 [1,-1,1,-443525,114129789] 2 [383:-768:1] 36414cf6 [1,-1,1,-7102085,7286730621] 2 [1509:1268:1]
36414cg (1 curve)	1	2- 3- 7+ 17+	2- 3-  1 7+  5 -1 17+ -6
Curve Equation t Generators 36414cg1 [1,-1,1,-37968152,90286559003] 1 [2733:81865:1]
36414ch (2 curves)	1	2- 3- 7+ 17+	2- 3-  2 7+ -6  6 17+ -6
Curve Equation t Generators 36414ch1 [1,-1,1,481,19703] 2 [-3:136:1] 36414ch2 [1,-1,1,-8699,295103] 2 [99:580:1]
36414ci (4 curves)	1	2- 3- 7+ 17+	2- 3- -2 7+  0  4 17+  0
Curve Equation t Generators 36414ci1 [1,-1,1,-1408496,-653003949] 2 [4901:329433:1] 36414ci2 [1,-1,1,-22632656,-41437349805] 2 [2093735:73966647:343] 36414ci3 [1,-1,1,8319244,26627116371] 2 [10051968634022266406:-1600215532833742077105:8089854324760936] 36414ci4 [1,-1,1,-99128066,341834544987] 2 [-3928085370842683309283001869346479988036:-299011410274907470996914314461808850842649:430900831331741995663325392364886208]
36414cj (1 curve)	1	2- 3- 7+ 17+	2- 3- -2 7+  2  2 17+ -3
Curve Equation t Generators 36414cj1 [1,-1,1,-131,-493] 1 [-5:6:1]
36414ck (2 curves)	1	2- 3- 7+ 17+	2- 3- -2 7+ -2  4 17+ -2
Curve Equation t Generators 36414ck1 [1,-1,1,-55976,-7135189] 2 [3198:45215:8] 36414ck2 [1,-1,1,-992336,-380181013] 2 [16254:610907:8]
36414cl (2 curves)	1	2- 3- 7+ 17+	2- 3-  3 7+ -3  2 17+  2
Curve Equation t Generators 36414cl1 [1,-1,1,86804419,-457478905467] 1 [3537759:1281921970:27] 36414cl2 [1,-1,1,-826497716,16959192808983] 1 [9957:3112205:1]
36414cm (2 curves)	1	2- 3- 7+ 17+	2- 3-  3 7+ -5 -1 17+  0
Curve Equation t Generators 36414cm1 [1,-1,1,-131,-2397] 1 [47:282:1] 36414cm2 [1,-1,1,-7781,372759] 1 [478:2511:8]
36414cn (1 curve)	1	2- 3- 7+ 17+	2- 3- -3 7+ -1  1 17+  4
Curve Equation t Generators 36414cn1 [1,-1,1,49043101,-436960340701] 1 [7390713:104016590:1331]
36414co (2 curves)	1	2- 3- 7+ 17+	2- 3- -3 7+  3 -4 17+  2
Curve Equation t Generators 36414co1 [1,-1,1,-284,-2091] 1 [214:645:8] 36414co2 [1,-1,1,2011,12597] 1 [209:2982:1]
36414cp (2 curves)	1	2- 3- 7+ 17+	2- 3-  4 7+ -4 -4 17+ -6
Curve Equation t Generators 36414cp1 [1,-1,1,81877,1729019] 2 [429:10540:1] 36414cp2 [1,-1,1,-334283,14213819] 2 [999:25510:1]
36414cq (1 curve)	0	2- 3- 7+ 17-	2- 3-  2 7+  2 -6 17-  7
Curve Equation t 36414cq1 [1,-1,1,-3089,-63359] 1
36414cr (1 curve)	0	2- 3- 7- 17+	2- 3-  1 7-  3 -3 17+  6
Curve Equation t 36414cr1 [1,-1,1,-97592,12153827] 1
36414cs (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  0  4 17+  0
Curve Equation t 36414cs1 [1,-1,1,-4874,-131767] 2 36414cs2 [1,-1,1,-78314,-8415799] 2 36414cs3 [1,-1,1,28786,5412953] 2 36414cs4 [1,-1,1,-343004,69658265] 2
36414ct (2 curves)	0	2- 3- 7- 17+	2- 3-  2 7- -6  0 17+ -2
Curve Equation t 36414ct1 [1,-1,1,-8673089,-11051548207] 2 36414ct2 [1,-1,1,-143508929,-661661443375] 2
36414cu (2 curves)	0	2- 3- 7- 17+	2- 3- -2 7- -2  0 17+ -2
Curve Equation t 36414cu1 [1,-1,1,4714,-63359] 2 36414cu2 [1,-1,1,-21296,-521135] 2
36414cv (1 curve)	0	2- 3- 7- 17+	2- 3- -2 7- -2 -6 17+  7
Curve Equation t 36414cv1 [1,-1,1,-892631,-314851985] 1
36414cw (2 curves)	0	2- 3- 7- 17+	2- 3- -2 7-  6  6 17+ -6
Curve Equation t 36414cw1 [1,-1,1,139099,97358541] 2 36414cw2 [1,-1,1,-2513921,1439786661] 2
36414cx (1 curve)	0	2- 3- 7- 17+	2- 3-  3 7-  1  1 17+  4
Curve Equation t 36414cx1 [1,-1,1,169699,-88979547] 1
36414cy (2 curves)	0	2- 3- 7- 17+	2- 3- -3 7-  5 -1 17+  0
Curve Equation t 36414cy1 [1,-1,1,-37769,-11926231] 1 36414cy2 [1,-1,1,-2248619,1822371797] 1
36414cz (1 curve)	1	2- 3- 7- 17-	2- 3-  2 7- -2  2 17- -3
Curve Equation t Generators 36414cz1 [1,-1,1,-37769,-2571879] 1 [-7788:33263:64]
36414da (2 curves)	1	2- 3- 7- 17-	2- 3-  3 7- -3 -4 17-  2
Curve Equation t Generators 36414da1 [1,-1,1,-81986,-10599721] 1 [4454820:84000029:8000] 36414da2 [1,-1,1,581269,64215443] 3 [-63:5260:1]
36414db (2 curves)	1	2- 3- 7- 17-	2- 3- -3 7-  3  2 17-  2
Curve Equation t Generators 36414db1 [1,-1,1,300361,-93186673] 1 [657:-20012:1] 36414db2 [1,-1,1,-2859854,3452574557] 3 [1305:43411:1]

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