Cremona's table of elliptic curves

48645 = 3² · 5 · 23 · 47

Class	r	Atkin-Lehner	Eigenvalues
48645a (2 curves)	0	3+ 5+ 23+ 47-	1 3+ 5+ -4  0  4 -2  0
Curve Equation t 48645a1 [1,-1,0,1065,9080] 2 48645a2 [1,-1,0,-5280,83951] 2
48645b (2 curves)	1	3+ 5- 23- 47+	-1 3+ 5- -4  0  4  2  0
Curve Equation t Generators 48645b1 [1,-1,1,118,-376] 2 [19:82:1] 48645b2 [1,-1,1,-587,-2914] 2 [-11:51:1]
48645c (2 curves)	0	3- 5+ 23+ 47+	-1 3- 5+  2  0 -4  6  4
Curve Equation t 48645c1 [1,-1,1,2452,239622] 2 48645c2 [1,-1,1,-46193,3605856] 2
48645d (2 curves)	1	3- 5+ 23+ 47-	1 3- 5+  2  0  0  2  4
Curve Equation t Generators 48645d1 [1,-1,0,-3240,-70389] 2 [17748:279477:64] 48645d2 [1,-1,0,-51885,-4536000] 2 [7098252:73805955:21952]
48645e (2 curves)	2	3- 5+ 23- 47-	-1 3- 5+ -2  0  0 -6 -4
Curve Equation t Generators 48645e1 [1,-1,1,-158,452] 2 [-12:28:1]&[-66:299:8] 48645e2 [1,-1,1,517,2882] 2 [12:-110:1]&[30:539:8]
48645f (1 curve)	1	3- 5- 23+ 47+	1 3- 5-  1 -5  1  0  1
Curve Equation t Generators 48645f1 [1,-1,0,-2319,37790] 1 [14:82:1]
48645g (4 curves)	0	3- 5- 23+ 47-	1 3- 5-  4  4  6 -2  4
Curve Equation t 48645g1 [1,-1,0,-3699,33880] 2 48645g2 [1,-1,0,-31824,-2154245] 4 48645g3 [1,-1,0,-5949,-5574920] 2 48645g4 [1,-1,0,-507699,-139111070] 2
48645h (2 curves)	0	3- 5- 23+ 47-	1 3- 5- -4  4  0  0  4
Curve Equation t 48645h1 [1,-1,0,-1809,-29160] 2 48645h2 [1,-1,0,-1584,-36855] 2
48645i (1 curve)	0	3- 5- 23+ 47-	-2 3- 5-  2  4  6  3 -5
Curve Equation t 48645i1 [0,0,1,-193737,32911740] 1
48645j (2 curves)	2	3- 5- 23- 47+	-1 3- 5-  0 -4 -4  0  0
Curve Equation t Generators 48645j1 [1,-1,1,-103847,12859094] 2 [-363:1801:1]&[162:436:1] 48645j2 [1,-1,1,-53222,25373594] 2 [9366:1673398:343]&[-318:3331:1]
48645k (1 curve)	0	3- 5- 23- 47+	2 3- 5-  2  0 -2 -7  3
Curve Equation t 48645k1 [0,0,1,33,1107] 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