Cremona's table of elliptic curves

48880 = 2⁴ · 5 · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
48880a (4 curves)	1	2+ 5+ 13+ 47+	2+  0 5+  0  0 13+  2  0
Curve Equation t Generators 48880a1 [0,0,0,22,-497] 2 [1235905:-1453644:166375] 48880a2 [0,0,0,-823,-8778] 4 [1606:64350:1] 48880a3 [0,0,0,-2123,25802] 2 [13:20:1] 48880a4 [0,0,0,-13043,-573342] 2 [-48103110:-418319:729000]
48880b (1 curve)	1	2+ 5+ 13+ 47+	2+  1 5+ -4 -3 13+ -3  4
Curve Equation t Generators 48880b1 [0,1,0,-81,-325] 1 [22:95:1]
48880c (2 curves)	0	2+ 5+ 13- 47+	2+  2 5+  0  0 13-  6 -4
Curve Equation t 48880c1 [0,-1,0,-416,1616] 2 48880c2 [0,-1,0,1464,10640] 2
48880d (1 curve)	1	2+ 5+ 13- 47-	2+  1 5+  4  5 13-  1 -4
Curve Equation t Generators 48880d1 [0,1,0,39,35] 1 [26:115:8]
48880e (1 curve)	1	2+ 5- 13+ 47-	2+ -2 5-  2  0 13+  3 -8
Curve Equation t Generators 48880e1 [0,1,0,-40,-300] 1 [10:20:1]
48880f (1 curve)	1	2+ 5- 13- 47+	2+ -1 5-  2 -3 13-  3  4
Curve Equation t Generators 48880f1 [0,-1,0,3815,-2009083] 1 [764:21125:1]
48880g (1 curve)	1	2+ 5- 13- 47+	2+  2 5- -1  4 13-  6 -1
Curve Equation t Generators 48880g1 [0,-1,0,-20,275] 1 [-5:15:1]
48880h (1 curve)	1	2+ 5- 13- 47+	2+ -2 5- -1  4 13-  2  3
Curve Equation t Generators 48880h1 [0,1,0,-22640,-1318757] 1 [88218226031699:13155758912239595:3966822287]
48880i (1 curve)	1	2- 5+ 13+ 47-	2- -1 5+ -2  3 13+ -1  4
Curve Equation t Generators 48880i1 [0,-1,0,-6061,183761] 1 [41:-50:1]
48880j (1 curve)	1	2- 5+ 13+ 47-	2- -2 5+  5 -4 13+  2  7
Curve Equation t Generators 48880j1 [0,1,0,-721646,729212179] 1 [-425:30973:1]
48880k (1 curve)	1	2- 5+ 13- 47+	2- -1 5+ -4 -1 13- -3 -4
Curve Equation t Generators 48880k1 [0,-1,0,-25381,1582925] 1 [554:3125:8]
48880l (2 curves)	1	2- 5+ 13- 47+	2-  2 5+ -2  0 13-  3  4
Curve Equation t Generators 48880l1 [0,-1,0,-9016,-330384] 1 [81954:184690:729] 48880l2 [0,-1,0,32344,-1690000] 1 [1326:3250:27]
48880m (1 curve)	1	2- 5+ 13- 47+	2- -2 5+  3 -4 13-  2 -5
Curve Equation t Generators 48880m1 [0,1,0,-26,139] 1 [-5:13:1]
48880n (2 curves)	0	2- 5+ 13- 47-	2-  0 5+  0 -2 13- -2  2
Curve Equation t 48880n1 [0,0,0,-99563,-11845862] 2 48880n2 [0,0,0,-219883,22349082] 2
48880o (1 curve)	2	2- 5+ 13- 47-	2-  1 5+ -4  5 13- -3 -4
Curve Equation t Generators 48880o1 [0,1,0,-221,16055] 1 [-13:130:1]&[2:125:1]
48880p (1 curve)	0	2- 5+ 13- 47-	2- -2 5+  2  4 13-  7  4
Curve Equation t 48880p1 [0,1,0,-128336,37965460] 1
48880q (1 curve)	0	2- 5- 13+ 47-	2-  0 5- -3  4 13+  0 -3
Curve Equation t 48880q1 [0,0,0,-17,-29] 1
48880r (1 curve)	0	2- 5- 13- 47+	2-  1 5-  2  5 13-  5  4
Curve Equation t 48880r1 [0,1,0,-5,-97] 1
48880s (2 curves)	1	2- 5- 13- 47-	2- -1 5- -2  3 13- -3  4
Curve Equation t Generators 48880s1 [0,-1,0,715,-6275] 1 [20:125:1] 48880s2 [0,-1,0,-7285,336125] 1 [220:3055:1]
48880t (1 curve)	1	2- 5- 13- 47-	2- -2 5- -2 -4 13-  7  0
Curve Equation t Generators 48880t1 [0,1,0,-1760,94708] 1 [66:520:1]
48880u (1 curve)	1	2- 5- 13- 47-	2- -3 5-  0 -5 13-  1 -4
Curve Equation t Generators 48880u1 [0,0,0,-2512,57484] 1 [38:130:1]

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