Cremona's table of elliptic curves

78141 = 3 · 7 · 61²

Class	r	Atkin-Lehner	Eigenvalues
78141a (1 curve)	1	3+ 7+ 61+	0 3+ -2 7+  2 -1  4  1
Curve Equation t Generators 78141a1 [0,-1,1,41,24] 1 [2:10:1]
78141b (1 curve)	0	3+ 7- 61+	0 3+ -2 7- -2 -1 -4  1
Curve Equation t 78141b1 [0,-1,1,151321,8539109] 1
78141c (1 curve)	0	3+ 7- 61+	-1 3+  3 7- -4 -2  0  5
Curve Equation t 78141c1 [1,1,1,12946,-1021012] 1
78141d (1 curve)	2	3+ 7- 61+	-2 3+  0 7-  4 -4 -3 -4
Curve Equation t Generators 78141d1 [0,-1,1,-1668248,965643566] 1 [1078:20465:1]&[5474:394753:1]
78141e (1 curve)	0	3- 7+ 61+	0 3-  0 7+ -4 -1 -4 -3
Curve Equation t 78141e1 [0,1,1,-3026413,-2028783500] 1
78141f (1 curve)	0	3- 7+ 61+	-1 3- -1 7+  0  2 -8  7
Curve Equation t 78141f1 [1,0,0,-165244106,-817607058891] 1
78141g (1 curve)	1	3- 7- 61+	0 3-  0 7-  4 -1  4 -3
Curve Equation t Generators 78141g1 [0,1,1,-813,-9205] 1 [33:31:1]
78141h (6 curves)	1	3- 7- 61+	1 3- -2 7- -4 -2  6  4
Curve Equation t Generators 78141h1 [1,0,1,3643,-18349] 2 [3265001481:-41517534407:27270901] 78141h2 [1,0,1,-14962,-152305] 4 [-13223:214388:343] 78141h3 [1,0,1,-145197,21154141] 2 [-97:5907:1] 78141h4 [1,0,1,-182407,-29957515] 4 [11283497574878:155871800763583:18948744296] 78141h5 [1,0,1,-126592,-48622051] 2 [1694985:12018038:3375] 78141h6 [1,0,1,-2917342,-1918156639] 2 [-8776066761034372412340:4364760668400148212461:8898723289860867008]
78141i (1 curve)	1	3- 7- 61+	1 3-  3 7- -4 -2 -4 -1
Curve Equation t Generators 78141i1 [1,0,1,-60611447,-844410820057] 1 [875169312:133022460359:32768]
78141j (1 curve)	1	3- 7- 61+	-2 3-  0 7- -4  4 -7 -4
Curve Equation t Generators 78141j1 [0,1,1,-6021818,15693878096] 1 [-2603:117211:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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