Cremona's table of elliptic curves

42688 = 2⁶ · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
42688a (1 curve)	1	2+ 23+ 29+	2+  0 -4  2 -4  1  7 -1
Curve Equation t Generators 42688a1 [0,0,0,-2,10] 1 [1:3:1]
42688b (1 curve)	0	2+ 23+ 29-	2+  1 -1 -4  1  3 -2  0
Curve Equation t 42688b1 [0,1,0,-916,-10982] 1
42688c (1 curve)	0	2+ 23+ 29-	2+ -1 -1  0  3 -1 -2  8
Curve Equation t 42688c1 [0,-1,0,-481,-12703] 1
42688d (1 curve)	0	2+ 23+ 29-	2+ -1  3  4 -5 -5  6  8
Curve Equation t 42688d1 [0,-1,0,-17524,-33724378] 1
42688e (1 curve)	0	2+ 23- 29+	2+  0 -4 -2  4  1  7  1
Curve Equation t 42688e1 [0,0,0,-2,-10] 1
42688f (2 curves)	0	2+ 23- 29+	2+  2 -2  0  0  2 -4 -4
Curve Equation t 42688f1 [0,-1,0,-69,-91] 2 42688f2 [0,-1,0,-529,4785] 2
42688g (2 curves)	1	2+ 23- 29-	2+  0  0  4 -2 -6  2  2
Curve Equation t Generators 42688g1 [0,0,0,-19660,-4691856] 2 [3048:168084:1] 42688g2 [0,0,0,-557900,-159920272] 2 [1058456:-56884428:343]
42688h (2 curves)	1	2+ 23- 29-	2+  0  2  0  2 -2  4 -2
Curve Equation t Generators 42688h1 [0,0,0,-124,-1008] 2 [256:4092:1] 42688h2 [0,0,0,-2444,-46480] 2 [343288:5403300:1331]
42688i (1 curve)	1	2+ 23- 29-	2+  1  3 -4  5 -5  6 -8
Curve Equation t Generators 42688i1 [0,1,0,-17524,33724378] 1 [-8493:77372:27]
42688j (1 curve)	1	2+ 23- 29-	2+ -1 -1  4 -1  3 -2  0
Curve Equation t Generators 42688j1 [0,-1,0,-916,10982] 1 [11:46:1]
42688k (2 curves)	1	2+ 23- 29-	2+ -1  3 -4  3 -5 -6 -8
Curve Equation t Generators 42688k1 [0,-1,0,147871,-13756703] 1 [1299:48668:1] 42688k2 [0,-1,0,-3068449,-2099320159] 1 [2035:8924:1]
42688l (1 curve)	1	2+ 23- 29-	2+ -3  3 -2  3 -7  0  0
Curve Equation t Generators 42688l1 [0,0,0,884,-1017488] 1 [308:5336:1]
42688m (2 curves)	2	2- 23+ 29+	2- -2 -2  0  0  2 -4  4
Curve Equation t Generators 42688m1 [0,1,0,-69,91] 2 [-9:8:1]&[-2:15:1] 42688m2 [0,1,0,-529,-4785] 2 [-13:8:1]&[83:728:1]
42688n (2 curves)	1	2- 23+ 29-	2-  0  0 -4  2 -6  2 -2
Curve Equation t Generators 42688n1 [0,0,0,-19660,4691856] 2 [-148:2088:1] 42688n2 [0,0,0,-557900,159920272] 2 [1708:64728:1]
42688o (2 curves)	1	2- 23+ 29-	2-  0  2  0 -2 -2  4  2
Curve Equation t Generators 42688o1 [0,0,0,-124,1008] 2 [4:24:1] 42688o2 [0,0,0,-2444,46480] 2 [-190:2415:8]
42688p (2 curves)	1	2- 23+ 29-	2-  1  3  4 -3 -5 -6  8
Curve Equation t Generators 42688p1 [0,1,0,147871,13756703] 1 [-8645:223744:125] 42688p2 [0,1,0,-3068449,2099320159] 1 [189195:3801088:125]
42688q (1 curve)	1	2- 23+ 29-	2-  3  3  2 -3 -7  0  0
Curve Equation t Generators 42688q1 [0,0,0,884,1017488] 1 [11694:245456:27]
42688r (1 curve)	2	2- 23- 29-	2-  1 -1  0 -3 -1 -2 -8
Curve Equation t Generators 42688r1 [0,1,0,-481,12703] 1 [-9:128:1]&[33:184:1]

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