Cremona's table of elliptic curves

61880 = 2³ · 5 · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
61880a (1 curve)	1	2+ 5+ 7+ 13+ 17+	2+ -1 5+ 7+ -5 13+ 17+  0
Curve Equation t Generators 61880a1 [0,-1,0,-11446698856,503777890922156] 1 [-2229139074865713459545558:115291592561595688980078125:18079168496086348552]
61880b (1 curve)	1	2+ 5+ 7+ 13+ 17+	2+  2 5+ 7+  3 13+ 17+ -4
Curve Equation t Generators 61880b1 [0,-1,0,-44996,3817541] 1 [-4182:71675:27]
61880c (1 curve)	1	2+ 5+ 7- 13- 17+	2+ -1 5+ 7-  3 13- 17+ -7
Curve Equation t Generators 61880c1 [0,-1,0,-91,416] 1 [11:25:1]
61880d (1 curve)	0	2+ 5- 7+ 13+ 17+	2+ -1 5- 7+ -3 13+ 17+  3
Curve Equation t 61880d1 [0,-1,0,503645,-126058600] 1
61880e (1 curve)	0	2+ 5- 7+ 13+ 17+	2+  3 5- 7+  3 13+ 17+  5
Curve Equation t 61880e1 [0,0,0,-82,569] 1
61880f (2 curves)	1	2+ 5- 7+ 13+ 17-	2+  0 5- 7+ -4 13+ 17-  2
Curve Equation t Generators 61880f1 [0,0,0,-62,-159] 2 [-4:5:1] 61880f2 [0,0,0,113,-894] 2 [31:180:1]
61880g (2 curves)	1	2+ 5- 7+ 13- 17+	2+  0 5- 7+  4 13- 17+  2
Curve Equation t Generators 61880g1 [0,0,0,-2103422,1174187961] 2 [836:65:1] 61880g2 [0,0,0,-2094847,1184236146] 2 [2551:111540:1]
61880h (1 curve)	0	2+ 5- 7- 13+ 17-	2+  2 5- 7-  3 13+ 17- -8
Curve Equation t 61880h1 [0,-1,0,-120,-475] 1
61880i (4 curves)	1	2+ 5- 7- 13- 17-	2+  0 5- 7- -4 13- 17-  0
Curve Equation t Generators 61880i1 [0,0,0,-2642,39401] 4 [16:35:1] 61880i2 [0,0,0,-14647,-649686] 4 [258:3570:1] 61880i3 [0,0,0,9853,-2604786] 4 [10943:1144780:1] 61880i4 [0,0,0,-231227,-42796154] 2 [622:7350:1]
61880j (1 curve)	0	2- 5+ 7+ 13+ 17+	2- -2 5+ 7+ -1 13+ 17+ -4
Curve Equation t 61880j1 [0,1,0,22084,398509] 1
61880k (4 curves)	0	2- 5+ 7+ 13- 17-	2-  0 5+ 7+ -4 13- 17- -4
Curve Equation t 61880k1 [0,0,0,-521498,-125237803] 2 61880k2 [0,0,0,-8024623,-8749329678] 4 61880k3 [0,0,0,-7706123,-9475700778] 4 61880k4 [0,0,0,-128393123,-559964838578] 2
61880l (4 curves)	1	2- 5+ 7- 13- 17-	2-  0 5+ 7-  4 13- 17- -8
Curve Equation t Generators 61880l1 [0,0,0,142,453] 2 [6:39:1] 61880l2 [0,0,0,-703,4002] 4 [-11:102:1] 61880l3 [0,0,0,-5123,-138322] 2 [-37:24:1] 61880l4 [0,0,0,-9803,373462] 2 [67:132:1]
61880m (1 curve)	2	2- 5- 7+ 13- 17+	2- -3 5- 7+ -3 13- 17+ -1
Curve Equation t Generators 61880m1 [0,0,0,233,18874] 1 [33:250:1]&[3:140:1]
61880n (2 curves)	1	2- 5- 7- 13- 17+	2-  0 5- 7-  4 13- 17+  2
Curve Equation t Generators 61880n1 [0,0,0,218,-219] 2 [2:15:1] 61880n2 [0,0,0,-887,-1766] 2 [-27:50:1]
61880o (1 curve)	1	2- 5- 7- 13- 17+	2- -1 5- 7-  5 13- 17+ -1
Curve Equation t Generators 61880o1 [0,-1,0,385,-46400] 1 [45:245:1]
61880p (1 curve)	1	2- 5- 7- 13- 17+	2- -2 5- 7-  1 13- 17+  0
Curve Equation t Generators 61880p1 [0,1,0,-2360,64885] 1 [18:-169:1]
61880q (1 curve)	2	2- 5- 7- 13- 17-	2- -1 5- 7- -5 13- 17- -1
Curve Equation t Generators 61880q1 [0,-1,0,-30940,2106212] 1 [-151:1820:1]&[-116:2030:1]
61880r (1 curve)	0	2- 5- 7- 13- 17-	2-  2 5- 7-  3 13- 17- -4
Curve Equation t 61880r1 [0,-1,0,0,17] 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