Cremona's table of elliptic curves

83472 = 2⁴ · 3 · 37 · 47

Class	r	Atkin-Lehner	Eigenvalues
83472a (2 curves)	1	2+ 3+ 37+ 47+	2+ 3+  0  0  0  4  6 -6
Curve Equation t Generators 83472a1 [0,-1,0,92,448] 2 [12:56:1] 83472a2 [0,-1,0,-648,5184] 2 [0:72:1]
83472b (2 curves)	1	2+ 3+ 37+ 47+	2+ 3+ -2  0 -4  4 -8 -2
Curve Equation t Generators 83472b1 [0,-1,0,-59,174] 2 [10:22:1] 83472b2 [0,-1,0,-244,-1232] 2 [-8:12:1]
83472c (2 curves)	0	2+ 3+ 37+ 47-	2+ 3+  0  0 -4  0  2  6
Curve Equation t 83472c1 [0,-1,0,-983,12186] 2 83472c2 [0,-1,0,-748,17920] 2
83472d (2 curves)	0	2+ 3+ 37+ 47-	2+ 3+  0 -4 -4  6 -6  2
Curve Equation t 83472d1 [0,-1,0,-49268,4230144] 2 83472d2 [0,-1,0,-788528,269772336] 2
83472e (1 curve)	0	2+ 3+ 37+ 47-	2+ 3+  2  1  0 -4  6  2
Curve Equation t 83472e1 [0,-1,0,-19632,1546848] 1
83472f (1 curve)	0	2+ 3+ 37+ 47-	2+ 3+  3  2 -4 -6 -3 -1
Curve Equation t 83472f1 [0,-1,0,-864,-9504] 1
83472g (2 curves)	0	2+ 3- 37+ 47+	2+ 3-  2  0 -6  2  2  4
Curve Equation t 83472g1 [0,1,0,-872,-10812] 2 83472g2 [0,1,0,-14192,-655500] 2
83472h (1 curve)	0	2+ 3- 37+ 47+	2+ 3-  4 -1 -4  6  2 -4
Curve Equation t 83472h1 [0,1,0,-8696,-335628] 1
83472i (2 curves)	0	2- 3+ 37+ 47+	2- 3+  0  0  2  6  2 -6
Curve Equation t 83472i1 [0,-1,0,-1168,-15680] 2 83472i2 [0,-1,0,-18928,-996032] 2
83472j (2 curves)	0	2- 3+ 37+ 47+	2- 3+  0  0 -4 -4  6  6
Curve Equation t 83472j1 [0,-1,0,654952,-161129424] 2 83472j2 [0,-1,0,-3397288,-1451362640] 2
83472k (2 curves)	0	2- 3+ 37+ 47+	2- 3+  0  0 -4  6 -4 -6
Curve Equation t 83472k1 [0,-1,0,-86293,479224] 2 83472k2 [0,-1,0,-972028,368236396] 2
83472l (2 curves)	1	2- 3+ 37+ 47-	2- 3+  4 -4  0 -2 -2 -2
Curve Equation t Generators 83472l1 [0,-1,0,9784,-1670352] 2 [32956:131720:343] 83472l2 [0,-1,0,-165176,-24065232] 2 [371688590:-34566535382:42875]
83472m (1 curve)	1	2- 3+ 37- 47+	2- 3+  0 -1  4 -2  2  4
Curve Equation t Generators 83472m1 [0,-1,0,-48,576] 1 [0:24:1]
83472n (1 curve)	1	2- 3+ 37- 47+	2- 3+ -3  2  4 -2  5 -5
Curve Equation t Generators 83472n1 [0,-1,0,-268992,-53830656] 1 [749240079126:6188051553002:1187648379]
83472o (1 curve)	0	2- 3+ 37- 47-	2- 3+ -1 -2  4 -2  7 -1
Curve Equation t 83472o1 [0,-1,0,-338296,-158630288] 1
83472p (1 curve)	0	2- 3+ 37- 47-	2- 3+  2  1  1 -5  1 -1
Curve Equation t 83472p1 [0,-1,0,-1032,-13968] 1
83472q (2 curves)	1	2- 3- 37+ 47+	2- 3-  0  0 -4  4 -6  6
Curve Equation t Generators 83472q1 [0,1,0,6192,-5280876] 2 [260:3738:1] 83472q2 [0,1,0,-420048,-102293100] 2 [387548:10098474:343]
83472r (1 curve)	1	2- 3- 37+ 47+	2- 3-  1  4 -4  0 -3  1
Curve Equation t Generators 83472r1 [0,1,0,480,-7308] 1 [12:18:1]
83472s (1 curve)	0	2- 3- 37+ 47-	2- 3-  2 -3  3  5 -7 -3
Curve Equation t 83472s1 [0,1,0,-123234392,751347432468] 1
83472t (1 curve)	0	2- 3- 37- 47+	2- 3-  1  4 -4  0  7  5
Curve Equation t 83472t1 [0,1,0,-200,2676] 1
83472u (4 curves)	0	2- 3- 37- 47+	2- 3- -2  0 -4  2  2 -4
Curve Equation t 83472u1 [0,1,0,-1824,29172] 2 83472u2 [0,1,0,-3104,-18444] 4 83472u3 [0,1,0,11936,-132748] 4 83472u4 [0,1,0,-38624,-2931084] 2
83472v (1 curve)	0	2- 3- 37- 47+	2- 3-  4  3 -4  2  2  8
Curve Equation t 83472v1 [0,1,0,3898944,7684947252] 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