Cremona's table of elliptic curves

24128 = 2⁶ · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
24128a (4 curves)	1	2+ 13+ 29+	2+  0  2  0  4 13+  2  4
Curve Equation t Generators 24128a1 [0,0,0,-524,4592] 2 [-11:95:1] 24128a2 [0,0,0,-844,-1680] 4 [-1695:10659:125] 24128a3 [0,0,0,3316,-13328] 2 [35872465:-378407667:614125] 24128a4 [0,0,0,-10124,-391440] 2 [-252313215:-8372483:4492125]
24128b (1 curve)	1	2+ 13+ 29+	2+ -1 -1 -1  6 13+ -7  2
Curve Equation t Generators 24128b1 [0,-1,0,-688481,220213729] 1 [425:2048:1]
24128c (2 curves)	1	2+ 13+ 29+	2+  2  2  2  0 13+  2 -4
Curve Equation t Generators 24128c1 [0,-1,0,-417,-2527] 2 [-68816:94455:4913] 24128c2 [0,-1,0,863,-16095] 2 [12405:127296:125]
24128d (2 curves)	1	2+ 13+ 29+	2+ -2  2  2  4 13+ -6  0
Curve Equation t Generators 24128d1 [0,1,0,-497,-4433] 2 [849:2960:27] 24128d2 [0,1,0,-417,-5825] 2 [43:240:1]
24128e (2 curves)	0	2+ 13+ 29-	2+  0 -2  4  2 13+  2 -2
Curve Equation t 24128e1 [0,0,0,-56,-120] 2 24128e2 [0,0,0,-316,2064] 2
24128f (2 curves)	2	2+ 13+ 29-	2+ -1 -3 -1  0 13+  3 -8
Curve Equation t Generators 24128f1 [0,-1,0,-24097,1448609] 1 [89:-32:1]&[25:928:1] 24128f2 [0,-1,0,21663,5995489] 1 [-87:1856:1]&[232:4843:1]
24128g (1 curve)	0	2+ 13+ 29-	2+  3  1 -5 -4 13+ -1  4
Curve Equation t 24128g1 [0,0,0,-644812,-199295632] 1
24128h (1 curve)	0	2+ 13- 29+	2+ -1  3 -3  4 13- -1  0
Curve Equation t 24128h1 [0,-1,0,2751,-18623] 1
24128i (1 curve)	1	2+ 13- 29-	2+  1 -1  3  0 13-  3  0
Curve Equation t Generators 24128i1 [0,1,0,-161,1151] 1 [2:29:1]
24128j (1 curve)	1	2+ 13- 29-	2+ -1 -1 -3  0 13-  3  0
Curve Equation t Generators 24128j1 [0,-1,0,-161,-1151] 1 [27:116:1]
24128k (2 curves)	1	2+ 13- 29-	2+  2  2  0 -2 13-  2 -2
Curve Equation t Generators 24128k1 [0,-1,0,-1632,-24910] 2 [38554485:182504530:658503] 24128k2 [0,-1,0,-26137,-1617735] 2 [175339552710678:-3597099503868845:363077482104]
24128l (2 curves)	1	2+ 13- 29-	2+ -2  2  0  2 13-  2  2
Curve Equation t Generators 24128l1 [0,1,0,-1632,24910] 2 [5:130:1] 24128l2 [0,1,0,-26137,1617735] 2 [794:845:8]
24128m (4 curves)	0	2- 13+ 29+	2-  0  2  0 -4 13+  2 -4
Curve Equation t 24128m1 [0,0,0,-524,-4592] 2 24128m2 [0,0,0,-844,1680] 4 24128m3 [0,0,0,3316,13328] 2 24128m4 [0,0,0,-10124,391440] 2
24128n (1 curve)	0	2- 13+ 29+	2-  1 -1  1 -6 13+ -7 -2
Curve Equation t 24128n1 [0,1,0,-688481,-220213729] 1
24128o (2 curves)	0	2- 13+ 29+	2-  2  2 -2 -4 13+ -6  0
Curve Equation t 24128o1 [0,-1,0,-497,4433] 2 24128o2 [0,-1,0,-417,5825] 2
24128p (2 curves)	0	2- 13+ 29+	2- -2  2 -2  0 13+  2  4
Curve Equation t 24128p1 [0,1,0,-417,2527] 2 24128p2 [0,1,0,863,16095] 2
24128q (2 curves)	1	2- 13+ 29-	2-  0 -2 -4 -2 13+  2  2
Curve Equation t Generators 24128q1 [0,0,0,-56,120] 2 [-7:13:1] 24128q2 [0,0,0,-316,-2064] 2 [-11:9:1]
24128r (2 curves)	1	2- 13+ 29-	2-  1 -3  1  0 13+  3  8
Curve Equation t Generators 24128r1 [0,1,0,-24097,-1448609] 1 [25005:166576:125] 24128r2 [0,1,0,21663,-5995489] 1 [145:464:1]
24128s (1 curve)	1	2- 13+ 29-	2- -3  1  5  4 13+ -1 -4
Curve Equation t Generators 24128s1 [0,0,0,-644812,199295632] 1 [476:464:1]
24128t (1 curve)	1	2- 13- 29+	2-  1  3  3 -4 13- -1  0
Curve Equation t Generators 24128t1 [0,1,0,2751,18623] 1 [-205:14848:125]
24128u (2 curves)	1	2- 13- 29+	2-  2  2  0  4 13- -6  0
Curve Equation t Generators 24128u1 [0,-1,0,8,-42] 2 [67928562:-141125635:12812904] 24128u2 [0,-1,0,-137,-535] 2 [16128:59995:729]
24128v (2 curves)	1	2- 13- 29+	2- -2  2  0 -4 13- -6  0
Curve Equation t Generators 24128v1 [0,1,0,8,42] 2 [26:85:8] 24128v2 [0,1,0,-137,535] 2 [1:20:1]

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