Cremona's table of elliptic curves

61065 = 3² · 5 · 23 · 59

Class	r	Atkin-Lehner	Eigenvalues
61065a (1 curve)	1	3+ 5+ 23+ 59+	2 3+ 5+  4  1 -1  3 -3
Curve Equation t Generators 61065a1 [0,0,1,-4083,100419] 1 [306:111:8]
61065b (2 curves)	2	3+ 5+ 23- 59+	1 3+ 5+ -2  0 -6 -2 -2
Curve Equation t Generators 61065b1 [1,-1,0,60,131] 2 [2:15:1]&[38:161:8] 61065b2 [1,-1,0,-315,1406] 2 [-146:303:8]&[-10:64:1]
61065c (2 curves)	1	3+ 5+ 23- 59-	-1 3+ 5+  0 -4 -2 -2  4
Curve Equation t Generators 61065c1 [1,-1,1,-623,622] 2 [-22:68:1] 61065c2 [1,-1,1,2482,3106] 2 [5:122:1]
61065d (2 curves)	0	3+ 5- 23+ 59+	1 3+ 5-  0  4 -2  2  4
Curve Equation t 61065d1 [1,-1,0,-69,0] 2 61065d2 [1,-1,0,276,-207] 2
61065e (2 curves)	1	3+ 5- 23+ 59-	-1 3+ 5- -2  0 -6  2 -2
Curve Equation t Generators 61065e1 [1,-1,1,538,-4076] 2 [32:196:1] 61065e2 [1,-1,1,-2837,-35126] 2 [-28:161:1]
61065f (1 curve)	0	3+ 5- 23- 59-	-2 3+ 5-  4 -1 -1 -3 -3
Curve Equation t 61065f1 [0,0,1,-36747,-2711320] 1
61065g (1 curve)	1	3- 5+ 23- 59+	0 3- 5+ -4  3 -3  7  1
Curve Equation t Generators 61065g1 [0,0,1,-20028,154629] 1 [-67:1093:1]
61065h (1 curve)	1	3- 5+ 23- 59+	-1 3- 5+ -5 -2  7 -6  0
Curve Equation t Generators 61065h1 [1,-1,1,-1553,23996] 1 [18:31:1]
61065i (1 curve)	1	3- 5+ 23- 59+	2 3- 5+ -2  5 -3  5 -7
Curve Equation t Generators 61065i1 [0,0,1,-2912583,1696257999] 1 [301192:6991097:512]
61065j (2 curves)	0	3- 5- 23- 59+	1 3- 5-  2  0 -6  2  6
Curve Equation t 61065j1 [1,-1,0,42696,428035] 2 61065j2 [1,-1,0,-172359,3567838] 2
61065k (1 curve)	0	3- 5- 23- 59+	2 3- 5- -2  1 -5  7  1
Curve Equation t 61065k1 [0,0,1,-417,-3155] 1
61065l (1 curve)	1	3- 5- 23- 59-	1 3- 5-  1 -6  1  2  4
Curve Equation t Generators 61065l1 [1,-1,0,6471,-1458540] 1 [336:6042:1]

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