Cremona's table of elliptic curves

77714 = 2 · 7² · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
77714a (2 curves)	1	2+ 7+ 13- 61-	2+ -2 -3 7+  6 13-  6 -4
Curve Equation t Generators 77714a1 [1,0,1,-17619673895,900210770141610] 3 [26184256:35877407:343] 77714a2 [1,0,1,-17634006150,898672911103832] 1 [21270:23080933:1]
77714b (2 curves)	0	2+ 7- 13+ 61+	2+  2  3 7-  6 13+ -6  4
Curve Equation t 77714b1 [1,1,0,-359585181,-2624675303683] 1 77714b2 [1,1,0,-359877676,-2620191874992] 1
77714c (2 curves)	1	2+ 7- 13+ 61-	2+  0 -2 7-  4 13+ -4 -2
Curve Equation t Generators 77714c1 [1,-1,0,-4468,-47664] 2 [-306:2211:8] 77714c2 [1,-1,0,-59348,-5546640] 2 [19380:121155:64]
77714d (2 curves)	1	2+ 7- 13+ 61-	2+  0 -2 7- -4 13+  4 -6
Curve Equation t Generators 77714d1 [1,-1,0,-549838,-156011136] 2 [-12210:7526:27] 77714d2 [1,-1,0,-8785268,-10020409190] 2 [-1126862193:562127819:658503]
77714e (1 curve)	1	2+ 7- 13+ 61-	2+  1  2 7-  1 13+  7 -1
Curve Equation t Generators 77714e1 [1,0,1,-136295,18405034] 1 [-92:5538:1]
77714f (1 curve)	1	2+ 7- 13+ 61-	2+  3 -4 7- -5 13+  3  1
Curve Equation t Generators 77714f1 [1,-1,0,-20722354,36313525604] 1 [103080:3007334:27]
77714g (1 curve)	1	2+ 7- 13- 61+	2+ -3 -3 7-  2 13-  5 -8
Curve Equation t Generators 77714g1 [1,-1,0,3029,-19097] 1 [39:-416:1]
77714h (1 curve)	0	2+ 7- 13- 61-	2+  1 -3 7-  2 13-  5  4
Curve Equation t 77714h1 [1,0,1,-5465,-226628] 1
77714i (1 curve)	1	2- 7+ 13- 61+	2-  2  1 7+ -2 13-  2  4
Curve Equation t Generators 77714i1 [1,1,1,-19160,1012633] 1 [41:525:1]
77714j (2 curves)	1	2- 7- 13+ 61+	2-  1 -1 7-  2 13+ -3  0
Curve Equation t Generators 77714j1 [1,0,0,784244,-3543030128] 1 [8856:831028:1] 77714j2 [1,0,0,-171154796,907510575152] 1 [14793723869560196:863805224237932888:1287558381439]
77714k (1 curve)	1	2- 7- 13+ 61+	2- -1  0 7- -3 13+ -7  5
Curve Equation t Generators 77714k1 [1,1,1,-31901598,-69249642197] 1 [19459:2574579:1]
77714l (1 curve)	0	2- 7- 13+ 61-	2- -1  2 7-  3 13+ -1  5
Curve Equation t 77714l1 [1,1,1,-39397,-3026241] 1
77714m (1 curve)	0	2- 7- 13+ 61-	2- -2 -1 7- -2 13+ -2 -4
Curve Equation t 77714m1 [1,0,0,-938841,-350149703] 1
77714n (1 curve)	0	2- 7- 13- 61+	2-  3  4 7- -3 13-  5  1
Curve Equation t 77714n1 [1,-1,1,-183588,-29170361] 1
77714o (2 curves)	1	2- 7- 13- 61-	2-  0 -2 7-  4 13-  6 -6
Curve Equation t Generators 77714o1 [1,-1,1,-3008046,-2007285955] 2 [7065:570355:1] 77714o2 [1,-1,1,-2945326,-2095043779] 2 [3783:200323:1]
77714p (1 curve)	1	2- 7- 13- 61-	2-  1  0 7- -3 13-  3 -1
Curve Equation t Generators 77714p1 [1,0,0,-2353,-40391] 1 [-24:61:1]

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