Cremona's table of elliptic curves

38720 = 2⁶ · 5 · 11²

Class	r	Atkin-Lehner	Eigenvalues
38720a (1 curve)	1	2+ 5+ 11+	2+  1 5+  3 11+  0  3 -3
Curve Equation t Generators 38720a1 [0,1,0,-1510241,-776315905] 1 [168888415374351686:-4915394414127684839:90150420161719]
38720b (1 curve)	1	2+ 5+ 11+	2+  1 5+ -3 11+  0 -3  3
Curve Equation t Generators 38720b1 [0,1,0,-12481,578719] 1 [27:512:1]
38720c (4 curves)	0	2+ 5+ 11-	2+  0 5+  0 11-  2 -6 -4
Curve Equation t 38720c1 [0,0,0,6292,-149072] 2 38720c2 [0,0,0,-32428,-1341648] 4 38720c3 [0,0,0,-226028,40398512] 2 38720c4 [0,0,0,-458348,-119406672] 2
38720d (4 curves)	0	2+ 5+ 11-	2+  0 5+  0 11- -2  2  4
Curve Equation t 38720d1 [0,0,0,-2783,-37268] 2 38720d2 [0,0,0,-17908,894432] 4 38720d3 [0,0,0,6292,3130512] 2 38720d4 [0,0,0,-284108,58287152] 2
38720e (4 curves)	0	2+ 5+ 11-	2+  0 5+  0 11- -2  2 -4
Curve Equation t 38720e1 [0,0,0,-2783,37268] 2 38720e2 [0,0,0,-17908,-894432] 4 38720e3 [0,0,0,6292,-3130512] 2 38720e4 [0,0,0,-284108,-58287152] 2
38720f (4 curves)	0	2+ 5+ 11-	2+  0 5+  4 11- -2 -2  4
Curve Equation t 38720f1 [0,0,0,-968,-10648] 2 38720f2 [0,0,0,-3388,63888] 4 38720f3 [0,0,0,6292,362032] 2 38720f4 [0,0,0,-51788,4536048] 2
38720g (4 curves)	0	2+ 5+ 11-	2+  0 5+ -4 11-  6  6  4
Curve Equation t 38720g1 [0,0,0,-2440328,-1467305048] 2 38720g2 [0,0,0,-2442748,-1464249072] 4 38720g3 [0,0,0,-1271468,-2871190608] 2 38720g4 [0,0,0,-3652748,138274928] 2
38720h (1 curve)	0	2+ 5+ 11-	2+  1 5+  1 11- -4  4  0
Curve Equation t 38720h1 [0,1,0,444,63050] 1
38720i (1 curve)	0	2+ 5+ 11-	2+  1 5+ -1 11-  4 -4  0
Curve Equation t 38720i1 [0,1,0,4,-46] 1
38720j (1 curve)	0	2+ 5+ 11-	2+  1 5+  3 11-  0 -8  8
Curve Equation t 38720j1 [0,1,0,-161,2495] 1
38720k (1 curve)	0	2+ 5+ 11-	2+  1 5+ -3 11-  0  8 -8
Curve Equation t 38720k1 [0,1,0,-19521,-3398881] 1
38720l (2 curves)	0	2+ 5+ 11-	2+  1 5+ -3 11- -6  7  5
Curve Equation t 38720l1 [0,1,0,77279,33404479] 1 38720l2 [0,1,0,-45999521,120066720959] 1
38720m (1 curve)	0	2+ 5+ 11-	2+ -1 5+  1 11-  4 -4  0
Curve Equation t 38720m1 [0,-1,0,4,46] 1
38720n (2 curves)	0	2+ 5+ 11-	2+ -1 5+  1 11- -4  0 -4
Curve Equation t 38720n1 [0,-1,0,-4704641,-3989728895] 1 38720n2 [0,-1,0,18720959,-18668209855] 1
38720o (2 curves)	0	2+ 5+ 11-	2+ -1 5+ -1 11-  4  0  4
Curve Equation t 38720o1 [0,-1,0,-38881,3011681] 1 38720o2 [0,-1,0,154719,13969441] 1
38720p (1 curve)	0	2+ 5+ 11-	2+ -1 5+ -1 11- -4  4  0
Curve Equation t 38720p1 [0,-1,0,444,-63050] 1
38720q (4 curves)	0	2+ 5+ 11-	2+  2 5+  4 11- -4  0 -4
Curve Equation t 38720q1 [0,-1,0,-21941,-1217995] 2 38720q2 [0,-1,0,-48561,2343761] 2 38720q3 [0,-1,0,-215541,38102165] 2 38720q4 [0,-1,0,-3436561,2453222961] 2
38720r (2 curves)	0	2+ 5+ 11-	2+ -2 5+  0 11-  0  4 -4
Curve Equation t 38720r1 [0,1,0,-2581,-3621] 2 38720r2 [0,1,0,-29201,-1925585] 2
38720s (1 curve)	0	2+ 5+ 11-	2+  3 5+  3 11-  4  0  4
Curve Equation t 38720s1 [0,0,0,-90508,-22722832] 1
38720t (1 curve)	0	2+ 5+ 11-	2+  3 5+ -3 11- -4  0 -4
Curve Equation t 38720t1 [0,0,0,-748,17072] 1
38720u (1 curve)	2	2+ 5+ 11-	2+ -3 5+ -1 11- -6 -3 -5
Curve Equation t Generators 38720u1 [0,0,0,-32428,2406448] 1 [-154:1936:1]&[-44:1936:1]
38720v (2 curves)	0	2+ 5- 11+	2+  0 5-  4 11+ -4 -4 -8
Curve Equation t 38720v1 [0,0,0,-42592,3865224] 2 38720v2 [0,0,0,-708092,229336624] 2
38720w (2 curves)	0	2+ 5- 11+	2+  0 5- -4 11+  4  4  8
Curve Equation t 38720w1 [0,0,0,-352,-2904] 2 38720w2 [0,0,0,-5852,-172304] 2
38720x (1 curve)	0	2+ 5- 11+	2+ -1 5-  3 11+  4  3  3
Curve Equation t 38720x1 [0,-1,0,108255,-236053343] 1
38720y (1 curve)	2	2+ 5- 11+	2+ -1 5- -3 11+ -4 -3 -3
Curve Equation t Generators 38720y1 [0,-1,0,895,177025] 1 [-40:275:1]&[-15:400:1]
38720z (2 curves)	0	2+ 5- 11+	2+  2 5-  0 11+  2  6  0
Curve Equation t 38720z1 [0,-1,0,1775,-668655] 2 38720z2 [0,-1,0,-104705,-12658303] 2
38720ba (2 curves)	0	2+ 5- 11+	2+  2 5-  0 11+ -2 -6  0
Curve Equation t 38720ba1 [0,-1,0,15,497] 2 38720ba2 [0,-1,0,-865,9825] 2
38720bb (2 curves)	0	2+ 5- 11+	2+ -2 5-  0 11+  6 -6  0
Curve Equation t 38720bb1 [0,1,0,-1595425,1154549823] 2 38720bb2 [0,1,0,-28854305,59635750975] 2
38720bc (2 curves)	0	2+ 5- 11+	2+ -2 5-  0 11+ -6  6  0
Curve Equation t 38720bc1 [0,1,0,-13185,-872225] 2 38720bc2 [0,1,0,-238465,-44891937] 2
38720bd (1 curve)	0	2+ 5- 11+	2+  3 5-  5 11+  4  1  5
Curve Equation t 38720bd1 [0,0,0,37268,2576816] 1
38720be (1 curve)	0	2+ 5- 11+	2+  3 5- -5 11+ -4 -1 -5
Curve Equation t 38720be1 [0,0,0,308,-1936] 1
38720bf (2 curves)	1	2+ 5- 11-	2+  0 5-  2 11-  0  0 -8
Curve Equation t Generators 38720bf1 [0,0,0,-18392,926376] 2 [-55:1331:1] 38720bf2 [0,0,0,8228,3386064] 2 [-11:1815:1]
38720bg (2 curves)	1	2+ 5- 11-	2+  0 5-  2 11- -4  4  0
Curve Equation t Generators 38720bg1 [0,0,0,968,31944] 2 [374:7260:1] 38720bg2 [0,0,0,-11132,404624] 2 [10263:192995:27]
38720bh (2 curves)	1	2+ 5- 11-	2+ -1 5-  1 11-  2  0  2
Curve Equation t Generators 38720bh1 [0,-1,0,15,145] 1 [-3:8:1] 38720bh2 [0,-1,0,-1745,28657] 1 [29:40:1]
38720bi (2 curves)	1	2+ 5- 11-	2+ -1 5-  1 11-  2  3 -1
Curve Equation t Generators 38720bi1 [0,-1,0,-7905,-736415] 1 [312:5203:1] 38720bi2 [0,-1,0,69535,17523937] 1 [224:6655:1]
38720bj (2 curves)	1	2+ 5- 11-	2+ -1 5- -1 11- -2  0 -2
Curve Equation t Generators 38720bj1 [0,-1,0,1775,-200143] 1 [53:200:1] 38720bj2 [0,-1,0,-211185,-37297775] 1 [565:4840:1]
38720bk (2 curves)	1	2+ 5- 11-	2+ -1 5- -5 11-  2 -3 -7
Curve Equation t Generators 38720bk1 [0,-1,0,-685505,-220313663] 1 [1457:43264:1] 38720bk2 [0,-1,0,2295935,-1143963775] 1 [2785:163840:1]
38720bl (2 curves)	1	2+ 5- 11-	2+  2 5-  2 11- -6 -2  8
Curve Equation t Generators 38720bl1 [0,-1,0,-40,-2550] 2 [1261600974:112918511035:157464] 38720bl2 [0,-1,0,-3065,-63655] 2 [-571104:53119:19683]
38720bm (4 curves)	1	2+ 5- 11-	2+  2 5- -2 11-  2  6 -4
Curve Equation t Generators 38720bm1 [0,-1,0,-645,-4123] 2 [3580:1089:125] 38720bm2 [0,-1,0,1775,-29775] 2 [1372320:1096381:91125] 38720bm3 [0,-1,0,-20005,1095525] 2 [180:1815:1] 38720bm4 [0,-1,0,-17585,1368017] 2 [19:1020:1]
38720bn (2 curves)	1	2+ 5- 11-	2+  2 5- -2 11- -2  2  0
Curve Equation t Generators 38720bn1 [0,-1,0,14480,-220350] 2 [116985:1747410:1331] 38720bn2 [0,-1,0,-61145,-1747975] 2 [-2400:46585:27]
38720bo (2 curves)	1	2+ 5- 11-	2+ -2 5-  2 11- -2  2  0
Curve Equation t Generators 38720bo1 [0,1,0,14480,220350] 2 [165:2670:1] 38720bo2 [0,1,0,-61145,1747975] 2 [425:7260:1]
38720bp (2 curves)	1	2+ 5- 11-	2+ -2 5- -2 11- -6 -2 -8
Curve Equation t Generators 38720bp1 [0,1,0,-40,2550] 2 [5:50:1] 38720bp2 [0,1,0,-3065,63655] 2 [18:121:1]
38720bq (1 curve)	0	2- 5+ 11+	2- -1 5+  3 11+  0 -3 -3
Curve Equation t 38720bq1 [0,-1,0,-12481,-578719] 1
38720br (1 curve)	0	2- 5+ 11+	2- -1 5+ -3 11+  0  3  3
Curve Equation t 38720br1 [0,-1,0,-1510241,776315905] 1
38720bs (4 curves)	1	2- 5+ 11-	2-  0 5+  0 11-  2 -6  4
Curve Equation t Generators 38720bs1 [0,0,0,6292,149072] 2 [253:4235:1] 38720bs2 [0,0,0,-32428,1341648] 4 [-546:38080:27] 38720bs3 [0,0,0,-226028,-40398512] 2 [-2245488:3600260:9261] 38720bs4 [0,0,0,-458348,119406672] 2 [-54:12000:1]
38720bt (4 curves)	1	2- 5+ 11-	2-  0 5+  4 11-  6  6 -4
Curve Equation t Generators 38720bt1 [0,0,0,-2440328,1467305048] 2 [451759:7955387:343] 38720bt2 [0,0,0,-2442748,1464249072] 4 [35949801657:630732127773:27270901] 38720bt3 [0,0,0,-1271468,2871190608] 2 [122380571368291929:-7365430285227742013:151223500164933] 38720bt4 [0,0,0,-3652748,-138274928] 2 [-839232190579872:122253535042090676:14892383104227]
38720bu (4 curves)	1	2- 5+ 11-	2-  0 5+ -4 11- -2 -2 -4
Curve Equation t Generators 38720bu1 [0,0,0,-968,10648] 2 [33:121:1] 38720bu2 [0,0,0,-3388,-63888] 4 [-24:60:1] 38720bu3 [0,0,0,6292,-362032] 2 [944:29100:1] 38720bu4 [0,0,0,-51788,-4536048] 2 [957:28677:1]
38720bv (2 curves)	1	2- 5+ 11-	2-  1 5+  1 11-  4  0 -4
Curve Equation t Generators 38720bv1 [0,1,0,-38881,-3011681] 1 [9165:129536:27] 38720bv2 [0,1,0,154719,-13969441] 1 [512178375:12984123392:2146689]
38720bw (1 curve)	1	2- 5+ 11-	2-  1 5+ -1 11- -2  5  7
Curve Equation t Generators 38720bw1 [0,1,0,-1452161,2938364735] 1 [1014011:358177424:6859]
38720bx (2 curves)	1	2- 5+ 11-	2-  1 5+ -1 11- -4  0  4
Curve Equation t Generators 38720bx1 [0,1,0,-4704641,3989728895] 1 [332297:6344192:343] 38720bx2 [0,1,0,18720959,18668209855] 1 [10860990136234917:-5450868454504398848:43132764843]
38720by (1 curve)	1	2- 5+ 11-	2-  1 5+ -3 11- -2 -5  1
Curve Equation t Generators 38720by1 [0,1,0,-161,85919] 1 [95:968:1]
38720bz (1 curve)	1	2- 5+ 11-	2- -1 5+  1 11- -2  5 -7
Curve Equation t Generators 38720bz1 [0,-1,0,-1452161,-2938364735] 1 [7265:608200:1]
38720ca (1 curve)	1	2- 5+ 11-	2- -1 5+  3 11-  0  8  8
Curve Equation t Generators 38720ca1 [0,-1,0,-19521,3398881] 1 [453:9344:1]
38720cb (1 curve)	1	2- 5+ 11-	2- -1 5+  3 11- -2 -5 -1
Curve Equation t Generators 38720cb1 [0,-1,0,-161,-85919] 1 [48:121:1]
38720cc (2 curves)	1	2- 5+ 11-	2- -1 5+  3 11- -6  7 -5
Curve Equation t Generators 38720cc1 [0,-1,0,77279,-33404479] 1 [1643:67276:1] 38720cc2 [0,-1,0,-45999521,-120066720959] 1 [110496870262443:-25111292667686324:2102071041]
38720cd (1 curve)	1	2- 5+ 11-	2- -1 5+ -3 11-  0 -8 -8
Curve Equation t Generators 38720cd1 [0,-1,0,-161,-2495] 1 [29:-128:1]
38720ce (2 curves)	1	2- 5+ 11-	2-  2 5+  0 11-  0  4  4
Curve Equation t Generators 38720ce1 [0,-1,0,-2581,3621] 2 [26859:180048:343] 38720ce2 [0,-1,0,-29201,1925585] 2 [-166:12705:8]
38720cf (2 curves)	1	2- 5+ 11-	2-  2 5+  0 11-  4  4 -4
Curve Equation t Generators 38720cf1 [0,-1,0,-127816,-16725234] 2 [-200312101875:-513093908404:860085351] 38720cf2 [0,-1,0,-2018441,-1103078359] 2 [-271711785848762967667500:-17389629977976791748829:331298616279253882176]
38720cg (2 curves)	1	2- 5+ 11-	2-  2 5+  4 11-  4 -4 -4
Curve Equation t Generators 38720cg1 [0,-1,0,-1976,-32074] 2 [-1995704550:1344499849:91125000] 38720cg2 [0,-1,0,-5001,93161] 2 [-18864:329725:729]
38720ch (2 curves)	1	2- 5+ 11-	2- -2 5+  0 11-  4  4  4
Curve Equation t Generators 38720ch1 [0,1,0,-127816,16725234] 2 [-4577950:100066153:17576] 38720ch2 [0,1,0,-2018441,1103078359] 2 [-1038:45617:1]
38720ci (2 curves)	1	2- 5+ 11-	2- -2 5+ -4 11-  4 -4  4
Curve Equation t Generators 38720ci1 [0,1,0,-1976,32074] 2 [-15:242:1] 38720ci2 [0,1,0,-5001,-93161] 2 [117:968:1]
38720cj (4 curves)	1	2- 5+ 11-	2- -2 5+ -4 11- -4  0  4
Curve Equation t Generators 38720cj1 [0,1,0,-21941,1217995] 2 [-26:1331:1] 38720cj2 [0,1,0,-48561,-2343761] 2 [-70:847:1] 38720cj3 [0,1,0,-215541,-38102165] 2 [-7863:6292:27] 38720cj4 [0,1,0,-3436561,-2453222961] 2 [-63525930:778393:59319]
38720ck (1 curve)	1	2- 5+ 11-	2-  3 5+  1 11- -6 -3  5
Curve Equation t Generators 38720ck1 [0,0,0,-32428,-2406448] 1 [219054:19725904:27]
38720cl (1 curve)	1	2- 5+ 11-	2- -3 5+  3 11- -4  0  4
Curve Equation t Generators 38720cl1 [0,0,0,-748,-17072] 1 [42:160:1]
38720cm (1 curve)	1	2- 5+ 11-	2- -3 5+ -3 11-  4  0 -4
Curve Equation t Generators 38720cm1 [0,0,0,-90508,22722832] 1 [242:3872:1]
38720cn (2 curves)	1	2- 5- 11+	2-  0 5-  4 11+  4  4 -8
Curve Equation t Generators 38720cn1 [0,0,0,-352,2904] 2 [-2:60:1] 38720cn2 [0,0,0,-5852,172304] 2 [53:105:1]
38720co (2 curves)	1	2- 5- 11+	2-  0 5- -4 11+ -4 -4  8
Curve Equation t Generators 38720co1 [0,0,0,-42592,-3865224] 2 [3622:217620:1] 38720co2 [0,0,0,-708092,-229336624] 2 [8044049:472540905:2197]
38720cp (1 curve)	1	2- 5- 11+	2-  1 5-  1 11+  0  3  5
Curve Equation t Generators 38720cp1 [0,1,0,-865,9535] 1 [18:11:1]
38720cq (1 curve)	1	2- 5- 11+	2-  1 5- -1 11+  0 -3 -5
Curve Equation t Generators 38720cq1 [0,1,0,-104705,-13109857] 1 [2123:96632:1]
38720cr (1 curve)	1	2- 5- 11+	2-  1 5-  3 11+ -4 -3  3
Curve Equation t Generators 38720cr1 [0,1,0,895,-177025] 1 [95:-880:1]
38720cs (1 curve)	1	2- 5- 11+	2-  1 5- -3 11+  4  3 -3
Curve Equation t Generators 38720cs1 [0,1,0,108255,236053343] 1 [2581:133100:1]
38720ct (1 curve)	1	2- 5- 11+	2- -1 5-  1 11+  0 -3  5
Curve Equation t Generators 38720ct1 [0,-1,0,-104705,13109857] 1 [807:21296:1]
38720cu (1 curve)	1	2- 5- 11+	2- -1 5- -1 11+  0  3 -5
Curve Equation t Generators 38720cu1 [0,-1,0,-865,-9535] 1 [37:88:1]
38720cv (2 curves)	1	2- 5- 11+	2-  2 5-  0 11+  6 -6  0
Curve Equation t Generators 38720cv1 [0,-1,0,-1595425,-1154549823] 2 [238222897843671741:-11295140053346652160:81345961700289] 38720cv2 [0,-1,0,-28854305,-59635750975] 2 [-9093981325:-9808861440:2924207]
38720cw (2 curves)	1	2- 5- 11+	2-  2 5-  0 11+ -6  6  0
Curve Equation t Generators 38720cw1 [0,-1,0,-13185,872225] 2 [-40:1155:1] 38720cw2 [0,-1,0,-238465,44891937] 2 [1269:42240:1]
38720cx (2 curves)	1	2- 5- 11+	2- -2 5-  0 11+  2  6  0
Curve Equation t Generators 38720cx1 [0,1,0,1775,668655] 2 [703:18704:1] 38720cx2 [0,1,0,-104705,12658303] 2 [151:560:1]
38720cy (2 curves)	1	2- 5- 11+	2- -2 5-  0 11+ -2 -6  0
Curve Equation t Generators 38720cy1 [0,1,0,15,-497] 2 [18:77:1] 38720cy2 [0,1,0,-865,-9825] 2 [-17:16:1]
38720cz (1 curve)	1	2- 5- 11+	2- -3 5-  5 11+ -4 -1  5
Curve Equation t Generators 38720cz1 [0,0,0,308,1936] 1 [0:44:1]
38720da (1 curve)	1	2- 5- 11+	2- -3 5- -5 11+  4  1 -5
Curve Equation t Generators 38720da1 [0,0,0,37268,-2576816] 1 [1210:42592:1]
38720db (2 curves)	0	2- 5- 11-	2-  0 5- -2 11-  0  0  8
Curve Equation t 38720db1 [0,0,0,-18392,-926376] 2 38720db2 [0,0,0,8228,-3386064] 2
38720dc (2 curves)	0	2- 5- 11-	2-  0 5- -2 11- -4  4  0
Curve Equation t 38720dc1 [0,0,0,968,-31944] 2 38720dc2 [0,0,0,-11132,-404624] 2
38720dd (2 curves)	0	2- 5- 11-	2-  1 5-  1 11- -2  0  2
Curve Equation t 38720dd1 [0,1,0,1775,200143] 1 38720dd2 [0,1,0,-211185,37297775] 1
38720de (2 curves)	0	2- 5- 11-	2-  1 5- -1 11-  2  0 -2
Curve Equation t 38720de1 [0,1,0,15,-145] 1 38720de2 [0,1,0,-1745,-28657] 1
38720df (2 curves)	0	2- 5- 11-	2-  1 5- -1 11-  2  3  1
Curve Equation t 38720df1 [0,1,0,-7905,736415] 1 38720df2 [0,1,0,69535,-17523937] 1
38720dg (1 curve)	0	2- 5- 11-	2-  1 5-  3 11- -2 -4 -2
Curve Equation t 38720dg1 [0,1,0,-4880,-192502] 1
38720dh (1 curve)	0	2- 5- 11-	2-  1 5- -3 11-  2  4  2
Curve Equation t 38720dh1 [0,1,0,-40,130] 1
38720di (1 curve)	2	2- 5- 11-	2-  1 5- -3 11- -2 -7 -5
Curve Equation t Generators 38720di1 [0,1,0,-1576065,761119775] 1 [-1445:4840:1]&[1195:24200:1]
38720dj (2 curves)	0	2- 5- 11-	2-  1 5-  5 11-  2 -3  7
Curve Equation t 38720dj1 [0,1,0,-685505,220313663] 1 38720dj2 [0,1,0,2295935,1143963775] 1
38720dk (1 curve)	0	2- 5- 11-	2- -1 5-  3 11-  2  4 -2
Curve Equation t 38720dk1 [0,-1,0,-40,-130] 1
38720dl (1 curve)	0	2- 5- 11-	2- -1 5-  3 11- -2 -7  5
Curve Equation t 38720dl1 [0,-1,0,-1576065,-761119775] 1
38720dm (1 curve)	0	2- 5- 11-	2- -1 5- -3 11- -2 -4  2
Curve Equation t 38720dm1 [0,-1,0,-4880,192502] 1
38720dn (4 curves)	0	2- 5- 11-	2- -2 5-  2 11-  2  6  4
Curve Equation t 38720dn1 [0,1,0,-645,4123] 2 38720dn2 [0,1,0,1775,29775] 2 38720dn3 [0,1,0,-20005,-1095525] 2 38720dn4 [0,1,0,-17585,-1368017] 2

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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