Cremona's table of elliptic curves

6474 = 2 · 3 · 13 · 83

Class	r	Atkin-Lehner	Eigenvalues
6474a (1 curve)	1	2+ 3+ 13+ 83+	2+ 3+  1  4 -5 13+ -6  1
Curve Equation t Generators 6474a1 [1,1,0,-1098507,442721853] 1 [-1141:15141:1]
6474b (1 curve)	1	2+ 3+ 13+ 83+	2+ 3+  3  0  1 13+  0 -1
Curve Equation t Generators 6474b1 [1,1,0,-23506,1426948] 1 [72:302:1]
6474c (1 curve)	1	2+ 3+ 13+ 83+	2+ 3+ -3  4  3 13+  2 -1
Curve Equation t Generators 6474c1 [1,1,0,-4414,-125636] 1 [17805:174851:125]
6474d (1 curve)	0	2+ 3+ 13- 83+	2+ 3+ -1 -2 -1 13-  2  1
Curve Equation t 6474d1 [1,1,0,-51063,-4462839] 1
6474e (2 curves)	1	2+ 3+ 13- 83-	2+ 3+ -2 -2  4 13- -2 -8
Curve Equation t Generators 6474e1 [1,1,0,-121,805] 2 [2:23:1] 6474e2 [1,1,0,-2281,40981] 2 [6:163:1]
6474f (1 curve)	1	2+ 3+ 13- 83-	2+ 3+ -3  4  1 13- -2  3
Curve Equation t Generators 6474f1 [1,1,0,-4,-14] 1 [3:2:1]
6474g (1 curve)	1	2+ 3- 13+ 83-	2+ 3- -1  0  3 13+  0 -1
Curve Equation t Generators 6474g1 [1,0,1,36,-230] 1 [22:95:1]
6474h (4 curves)	1	2+ 3- 13+ 83-	2+ 3-  2  0 -4 13+ -6  4
Curve Equation t Generators 6474h1 [1,0,1,10,56] 2 [0:7:1] 6474h2 [1,0,1,-170,776] 4 [12:16:1] 6474h3 [1,0,1,-560,-4216] 2 [38:153:1] 6474h4 [1,0,1,-2660,52568] 2 [822:-232:27]
6474i (1 curve)	1	2+ 3- 13- 83+	2+ 3- -1  0  5 13- -4 -1
Curve Equation t Generators 6474i1 [1,0,1,-2184,-39650] 1 [62:222:1]
6474j (1 curve)	0	2+ 3- 13- 83-	2+ 3-  3 -2  5 13-  6 -1
Curve Equation t 6474j1 [1,0,1,-122,-532] 1
6474k (1 curve)	1	2- 3- 13- 83-	2- 3- -3 -2 -3 13-  2  5
Curve Equation t Generators 6474k1 [1,0,0,1703,20921] 1 [2:155:1]

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