Cremona's table of elliptic curves

45472 = 2⁵ · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
45472a (1 curve)	0	2+ 7+ 29-	2+  0  1 7+  0 -1  2  4
Curve Equation t 45472a1 [0,0,0,-3410792,-2424549008] 1
45472b (2 curves)	0	2+ 7- 29+	2+  0  4 7-  4  4  0 -4
Curve Equation t 45472b1 [0,0,0,-833,13720] 2 45472b2 [0,0,0,-15043,710010] 2
45472c (2 curves)	0	2+ 7- 29+	2+  0  4 7- -4  4  0  4
Curve Equation t 45472c1 [0,0,0,-833,-13720] 2 45472c2 [0,0,0,-15043,-710010] 2
45472d (1 curve)	0	2+ 7- 29+	2+  1  0 7-  2  2  6 -5
Curve Equation t 45472d1 [0,1,0,-141773,20499611] 1
45472e (1 curve)	2	2+ 7- 29+	2+  1  0 7- -2 -2 -6 -5
Curve Equation t Generators 45472e1 [0,1,0,-2893,58939] 1 [-3:260:1]&[30:7:1]
45472f (1 curve)	0	2+ 7- 29+	2+  1  1 7-  5 -1  6  4
Curve Equation t 45472f1 [0,1,0,-65,-5713] 1
45472g (1 curve)	0	2+ 7- 29+	2+  1  4 7- -2 -6 -2  3
Curve Equation t 45472g1 [0,1,0,579,7307] 1
45472h (1 curve)	0	2+ 7- 29+	2+ -1  0 7-  2 -2 -6  5
Curve Equation t 45472h1 [0,-1,0,-2893,-58939] 1
45472i (1 curve)	0	2+ 7- 29+	2+ -1  0 7- -2  2  6  5
Curve Equation t 45472i1 [0,-1,0,-141773,-20499611] 1
45472j (1 curve)	2	2+ 7- 29+	2+ -1  1 7- -5 -1  6 -4
Curve Equation t Generators 45472j1 [0,-1,0,-65,5713] 1 [-16:49:1]&[-7:76:1]
45472k (1 curve)	0	2+ 7- 29+	2+ -1 -4 7- -2  6  2 -3
Curve Equation t 45472k1 [0,-1,0,28355,-2449579] 1
45472l (2 curves)	0	2+ 7- 29+	2+  2 -2 7- -4  2  0 -2
Curve Equation t 45472l1 [0,-1,0,-192194,32560088] 2 45472l2 [0,-1,0,-3076824,2078339684] 2
45472m (2 curves)	0	2+ 7- 29+	2+ -2  2 7- -4 -2  0  2
Curve Equation t 45472m1 [0,1,0,-3922,-96048] 2 45472m2 [0,1,0,-62792,-6077240] 2
45472n (1 curve)	0	2+ 7- 29+	2+  3  1 7- -1  7  6  4
Curve Equation t 45472n1 [0,0,0,104468,4192832] 1
45472o (1 curve)	0	2+ 7- 29+	2+ -3  1 7-  1  7  6 -4
Curve Equation t 45472o1 [0,0,0,104468,-4192832] 1
45472p (1 curve)	1	2+ 7- 29-	2+  0 -1 7-  0  1 -2 -4
Curve Equation t Generators 45472p1 [0,0,0,-69608,7068656] 1 [148:92:1]
45472q (2 curves)	1	2+ 7- 29-	2+  0  2 7- -6 -2  4  8
Curve Equation t Generators 45472q1 [0,0,0,-2009,-34300] 2 [53:90:1] 45472q2 [0,0,0,-3724,32928] 2 [114:1044:1]
45472r (1 curve)	1	2+ 7- 29-	2+  1 -1 7-  3 -3  0  4
Curve Equation t Generators 45472r1 [0,1,0,181039,-15498337] 1 [6123:164836:27]
45472s (1 curve)	1	2+ 7- 29-	2+  1  2 7-  0  0 -6  7
Curve Equation t Generators 45472s1 [0,1,0,-1437,-26293] 1 [1263:2836:27]
45472t (2 curves)	1	2+ 7- 29-	2+  2  0 7- -4 -4  6  2
Curve Equation t Generators 45472t1 [0,-1,0,-2858,93080] 2 [3620:22968:125] 45472t2 [0,-1,0,-52593,4658753] 2 [12285855:2121328:91125]
45472u (2 curves)	1	2+ 7- 29-	2+ -2  0 7- -4  4 -6 -2
Curve Equation t Generators 45472u1 [0,1,0,-58,-288] 2 [16:56:1] 45472u2 [0,1,0,-1073,-13889] 2 [45:176:1]
45472v (1 curve)	1	2+ 7- 29-	2+ -3  3 7-  3  1  8 -4
Curve Equation t Generators 45472v1 [0,0,0,-6076,186592] 1 [28:196:1]
45472w (1 curve)	1	2- 7+ 29-	2-  0  1 7+  0 -1  2 -4
Curve Equation t Generators 45472w1 [0,0,0,-3410792,2424549008] 1 [133280:196:125]
45472x (1 curve)	1	2- 7+ 29-	2-  0 -3 7+  4 -5 -6  8
Curve Equation t Generators 45472x1 [0,0,0,-2744,-38416] 1 [-20:92:1]
45472y (1 curve)	1	2- 7+ 29-	2-  0 -3 7+ -4 -5 -6 -8
Curve Equation t Generators 45472y1 [0,0,0,-2744,38416] 1 [0:-196:1]
45472z (1 curve)	1	2- 7- 29+	2-  1 -4 7-  2  6  2  3
Curve Equation t Generators 45472z1 [0,1,0,28355,2449579] 1 [2970:64141:8]
45472ba (1 curve)	1	2- 7- 29+	2- -1  4 7-  2 -6 -2 -3
Curve Equation t Generators 45472ba1 [0,-1,0,579,-7307] 1 [12:35:1]
45472bb (2 curves)	1	2- 7- 29+	2-  2  2 7-  4 -2  0 -2
Curve Equation t Generators 45472bb1 [0,-1,0,-3922,96048] 2 [-54:384:1] 45472bb2 [0,-1,0,-62792,6077240] 2 [16203:366400:27]
45472bc (2 curves)	1	2- 7- 29+	2- -2 -2 7-  4  2  0  2
Curve Equation t Generators 45472bc1 [0,1,0,-192194,-32560088] 2 [1151771012:21036121016:1685159] 45472bc2 [0,1,0,-3076824,-2078339684] 2 [9339174348392040509:-513126755575344752428:2373874317720199]
45472bd (1 curve)	0	2- 7- 29-	2-  0 -1 7-  0  1 -2  4
Curve Equation t 45472bd1 [0,0,0,-69608,-7068656] 1
45472be (2 curves)	0	2- 7- 29-	2-  0  2 7-  6 -2  4 -8
Curve Equation t 45472be1 [0,0,0,-2009,34300] 2 45472be2 [0,0,0,-3724,-32928] 2
45472bf (1 curve)	0	2- 7- 29-	2-  0  3 7-  4  5  6 -8
Curve Equation t 45472bf1 [0,0,0,-56,112] 1
45472bg (1 curve)	0	2- 7- 29-	2-  0  3 7- -4  5  6  8
Curve Equation t 45472bg1 [0,0,0,-56,-112] 1
45472bh (1 curve)	2	2- 7- 29-	2- -1 -1 7- -3 -3  0 -4
Curve Equation t Generators 45472bh1 [0,-1,0,181039,15498337] 1 [-9:3724:1]&[89:5684:1]
45472bi (1 curve)	2	2- 7- 29-	2- -1  2 7-  0  0 -6 -7
Curve Equation t Generators 45472bi1 [0,-1,0,-1437,26293] 1 [-44:49:1]&[-9:196:1]
45472bj (2 curves)	0	2- 7- 29-	2-  2  0 7-  4  4 -6  2
Curve Equation t 45472bj1 [0,-1,0,-58,288] 2 45472bj2 [0,-1,0,-1073,13889] 2
45472bk (2 curves)	0	2- 7- 29-	2- -2  0 7-  4 -4  6 -2
Curve Equation t 45472bk1 [0,1,0,-2858,-93080] 2 45472bk2 [0,1,0,-52593,-4658753] 2
45472bl (1 curve)	0	2- 7- 29-	2-  3  3 7- -3  1  8  4
Curve Equation t 45472bl1 [0,0,0,-6076,-186592] 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