Cremona's table of elliptic curves

44640 = 2⁵ · 3² · 5 · 31

Class	r	Atkin-Lehner	Eigenvalues
44640a (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  1  5  0 -6  5
Curve Equation t Generators 44640a1 [0,0,0,237,1062] 1 [-3:18:1]
44640b (2 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  2 -6 -4 -6 -4
Curve Equation t Generators 44640b1 [0,0,0,10827,2868372] 2 [-1395:207144:125] 44640b2 [0,0,0,-248643,45369558] 2 [1557:58590:1]
44640c (2 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -4  6 -6 -2 -8
Curve Equation t Generators 44640c1 [0,0,0,-513,5832] 2 [4:62:1] 44640c2 [0,0,0,-8883,322218] 2 [58:46:1]
44640d (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  4 -6 -6 -2  8
Curve Equation t 44640d1 [0,0,0,-513,-5832] 2 44640d2 [0,0,0,-8883,-322218] 2
44640e (2 curves)	0	2+ 3+ 5- 31+	2+ 3+ 5-  0 -4 -6  0  4
Curve Equation t 44640e1 [0,0,0,-1377,19656] 2 44640e2 [0,0,0,-1107,27594] 2
44640f (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  0  4 -6  0 -4
Curve Equation t Generators 44640f1 [0,0,0,-1377,-19656] 2 [8508:149930:27] 44640f2 [0,0,0,-1107,-27594] 2 [1257:44550:1]
44640g (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5- -1  5  0  6 -5
Curve Equation t Generators 44640g1 [0,0,0,2133,28674] 1 [18:270:1]
44640h (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5- -2 -6 -4  6  4
Curve Equation t Generators 44640h1 [0,0,0,1203,106236] 2 [-8:310:1] 44640h2 [0,0,0,-27627,1680354] 2 [178:-1550:1]
44640i (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  0  4  2 -6  0
Curve Equation t 44640i1 [0,0,0,-2433,-39368] 4 44640i2 [0,0,0,4317,-218918] 2 44640i3 [0,0,0,-10803,394198] 2 44640i4 [0,0,0,-37308,-2773568] 2
44640j (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  0 -4  2 -2  0
Curve Equation t 44640j1 [0,0,0,-15033,278768] 4 44640j2 [0,0,0,54717,2134118] 2 44640j3 [0,0,0,-128028,-17438848] 2 44640j4 [0,0,0,-197283,33703418] 2
44640k (2 curves)	2	2+ 3- 5+ 31+	2+ 3- 5+ -2 -4  0  0 -4
Curve Equation t Generators 44640k1 [0,0,0,-153,-108] 2 [-3:18:1]&[13:10:1] 44640k2 [0,0,0,-1548,23328] 2 [18:36:1]&[-24:216:1]
44640l (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  4 -4 -2 -2  8
Curve Equation t 44640l1 [0,0,0,-2793,56608] 4 44640l2 [0,0,0,-1443,111418] 2 44640l3 [0,0,0,-4188,-5888] 2 44640l4 [0,0,0,-44643,3630598] 2
44640m (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0  0  2  0 -8
Curve Equation t Generators 44640m1 [0,0,0,-16473,-24144428] 2 [339:3038:1] 44640m2 [0,0,0,-1357068,-602208992] 2 [-622:1116:1]
44640n (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0  4  2 -2  0
Curve Equation t Generators 44640n1 [0,0,0,-15033,-278768] 4 [16380:4774:125] 44640n2 [0,0,0,54717,-2134118] 2 [6333030:-10291694:166375] 44640n3 [0,0,0,-128028,17438848] 2 [77:2835:1] 44640n4 [0,0,0,-197283,-33703418] 2 [513:310:1]
44640o (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0 -4  2 -6  0
Curve Equation t Generators 44640o1 [0,0,0,-2433,39368] 4 [68:434:1] 44640o2 [0,0,0,4317,218918] 2 [-7:434:1] 44640o3 [0,0,0,-10803,-394198] 2 [122:322:1] 44640o4 [0,0,0,-37308,2773568] 2 [4:1620:1]
44640p (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  2 -4 -4  8  4
Curve Equation t Generators 44640p1 [0,0,0,-13593,609892] 2 [69:22:1] 44640p2 [0,0,0,-14988,477088] 2 [26:324:1]
44640q (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -3  3  2  0  7
Curve Equation t Generators 44640q1 [0,0,0,163437,61245862] 1 [53:8370:1]
44640r (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -4  4 -2 -2 -8
Curve Equation t Generators 44640r1 [0,0,0,-2793,-56608] 4 [92:682:1] 44640r2 [0,0,0,-1443,-111418] 2 [89:682:1] 44640r3 [0,0,0,-4188,5888] 2 [-44:324:1] 44640r4 [0,0,0,-44643,-3630598] 2 [362:5258:1]
44640s (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  0  6 -4 -2  8
Curve Equation t Generators 44640s1 [0,0,0,-57,-1456] 2 [53:380:1] 44640s2 [0,0,0,-2307,-42406] 2 [514:2185:8]
44640t (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5- -4  2 -6  4 -4
Curve Equation t Generators 44640t1 [0,0,0,63,-216] 2 [4:10:1] 44640t2 [0,0,0,-387,-2106] 2 [-15:18:1]
44640u (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -5  3  2 -4 -5
Curve Equation t Generators 44640u1 [0,0,0,-147,934] 1 [5:-18:1]
44640v (2 curves)	2	2+ 3- 5- 31-	2+ 3- 5-  0 -6 -4 -2 -8
Curve Equation t Generators 44640v1 [0,0,0,-57,1456] 2 [-3:40:1]&[5:36:1] 44640v2 [0,0,0,-2307,42406] 2 [-55:54:1]&[17:90:1]
44640w (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5- -1  5  2 -4  1
Curve Equation t 44640w1 [0,0,0,-541227,153273346] 1
44640x (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5-  4 -2 -6  4  4
Curve Equation t 44640x1 [0,0,0,63,216] 2 44640x2 [0,0,0,-387,2106] 2
44640y (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  0  4 -6  0  4
Curve Equation t 44640y1 [0,0,0,-153,-728] 2 44640y2 [0,0,0,-123,-1022] 2
44640z (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  0 -4 -6  0 -4
Curve Equation t Generators 44640z1 [0,0,0,-153,728] 2 [1:24:1] 44640z2 [0,0,0,-123,1022] 2 [1:30:1]
44640ba (1 curve)	1	2- 3+ 5+ 31-	2- 3+ 5+ -1 -5  0 -6 -5
Curve Equation t Generators 44640ba1 [0,0,0,237,-1062] 1 [6:24:1]
44640bb (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+ -2  6 -4 -6  4
Curve Equation t Generators 44640bb1 [0,0,0,10827,-2868372] 2 [7716:131068:27] 44640bb2 [0,0,0,-248643,-45369558] 2 [5494062:-36942452:9261]
44640bc (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  1 -5  0  6  5
Curve Equation t Generators 44640bc1 [0,0,0,2133,-28674] 1 [117:1350:1]
44640bd (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5-  2  6 -4  6 -4
Curve Equation t Generators 44640bd1 [0,0,0,1203,-106236] 2 [93:900:1] 44640bd2 [0,0,0,-27627,-1680354] 2 [597:13950:1]
44640be (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5- -4 -6 -6  2 -8
Curve Equation t Generators 44640be1 [0,0,0,-57,-216] 2 [15:48:1] 44640be2 [0,0,0,-987,-11934] 2 [46:200:1]
44640bf (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  4  6 -6  2  8
Curve Equation t 44640bf1 [0,0,0,-57,216] 2 44640bf2 [0,0,0,-987,11934] 2
44640bg (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0  0  2  0  8
Curve Equation t Generators 44640bg1 [0,0,0,-16473,24144428] 2 [559:13770:1] 44640bg2 [0,0,0,-1357068,602208992] 2 [-251:30447:1]
44640bh (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0 -2 -6  0  4
Curve Equation t Generators 44640bh1 [0,0,0,49047,2520952] 2 [19080:460364:125] 44640bh2 [0,0,0,-232203,21814702] 2 [873:22010:1]
44640bi (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  2  4 -4 -6 -4
Curve Equation t Generators 44640bi1 [0,0,0,87,-1208] 2 [17:72:1] 44640bi2 [0,0,0,-1308,-16832] 2 [-22:36:1]
44640bj (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+ -2  4 -4  8 -4
Curve Equation t Generators 44640bj1 [0,0,0,-13593,-609892] 2 [4116:25048:27] 44640bj2 [0,0,0,-14988,-477088] 2 [-56:432:1]
44640bk (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+  3 -3  2  0 -7
Curve Equation t Generators 44640bk1 [0,0,0,163437,-61245862] 1 [31478638:848093328:50653]
44640bl (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0  2 -6  0 -4
Curve Equation t 44640bl1 [0,0,0,49047,-2520952] 2 44640bl2 [0,0,0,-232203,-21814702] 2
44640bm (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  2  4  0  0  4
Curve Equation t 44640bm1 [0,0,0,-153,108] 2 44640bm2 [0,0,0,-1548,-23328] 2
44640bn (2 curves)	2	2- 3- 5+ 31-	2- 3- 5+ -2 -4 -4 -6  4
Curve Equation t Generators 44640bn1 [0,0,0,87,1208] 2 [-7:16:1]&[1:36:1] 44640bn2 [0,0,0,-1308,16832] 2 [-38:108:1]&[-14:180:1]
44640bo (1 curve)	0	2- 3- 5- 31+	2- 3- 5-  1 -5  2 -4 -1
Curve Equation t 44640bo1 [0,0,0,-541227,-153273346] 1
44640bp (1 curve)	1	2- 3- 5- 31-	2- 3- 5-  5 -3  2 -4  5
Curve Equation t Generators 44640bp1 [0,0,0,-147,-934] 1 [70:576:1]

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