Cremona's table of elliptic curves

9024 = 2⁶ · 3 · 47

Class	r	Atkin-Lehner	Eigenvalues
9024a (2 curves)	1	2+ 3+ 47+	2+ 3+  0  0  0  2  2  6
Curve Equation t Generators 9024a1 [0,-1,0,-308,-1962] 2 [2795:5348:125] 9024a2 [0,-1,0,-73,-5111] 2 [69:560:1]
9024b (2 curves)	1	2+ 3+ 47+	2+ 3+  0 -4  4 -2  2  2
Curve Equation t Generators 9024b1 [0,-1,0,47,-47] 2 [7:24:1] 9024b2 [0,-1,0,-193,-191] 2 [15:8:1]
9024c (1 curve)	1	2+ 3+ 47+	2+ 3+  1  1  3 -2  0  0
Curve Equation t Generators 9024c1 [0,-1,0,-695,6453] 1 [4:61:1]
9024d (1 curve)	1	2+ 3+ 47+	2+ 3+  1 -3 -1  2  2 -6
Curve Equation t Generators 9024d1 [0,-1,0,-105,-381] 1 [-150:1:27]
9024e (4 curves)	1	2+ 3+ 47+	2+ 3+ -2  0 -4  2  2  0
Curve Equation t Generators 9024e1 [0,-1,0,-129,1665] 2 [3:36:1] 9024e2 [0,-1,0,-3009,64449] 4 [-16:329:1] 9024e3 [0,-1,0,-3969,20865] 2 [131:1316:1] 9024e4 [0,-1,0,-48129,4080129] 2 [176:1015:1]
9024f (2 curves)	1	2+ 3+ 47+	2+ 3+  3 -1  3  4  0 -2
Curve Equation t Generators 9024f1 [0,-1,0,-149,717] 1 [4:13:1] 9024f2 [0,-1,0,-2069,-35379] 1 [-9380:533:343]
9024g (1 curve)	1	2+ 3+ 47+	2+ 3+  3 -1 -5  4 -4  2
Curve Equation t Generators 9024g1 [0,-1,0,-18309,959517] 1 [44:487:1]
9024h (1 curve)	1	2+ 3+ 47+	2+ 3+ -3 -3  3  2 -4  0
Curve Equation t Generators 9024h1 [0,-1,0,-47,141] 1 [4:1:1]
9024i (1 curve)	0	2+ 3+ 47-	2+ 3+  1 -1  1  4 -4  6
Curve Equation t 9024i1 [0,-1,0,-325,2269] 1
9024j (2 curves)	0	2+ 3+ 47-	2+ 3+ -2  4  2 -4 -6  8
Curve Equation t 9024j1 [0,-1,0,-9,-567] 2 9024j2 [0,-1,0,-1089,-13311] 2
9024k (1 curve)	0	2+ 3+ 47-	2+ 3+  3  1  1  2  4  4
Curve Equation t 9024k1 [0,-1,0,-9719,251661] 1
9024l (1 curve)	0	2+ 3+ 47-	2+ 3+  3 -3  5 -2 -6  6
Curve Equation t 9024l1 [0,-1,0,-49,67] 1
9024m (1 curve)	0	2+ 3- 47+	2+ 3-  1 -3  3  4  8  6
Curve Equation t 9024m1 [0,1,0,-5,-3] 1
9024n (1 curve)	0	2+ 3- 47+	2+ 3- -1  3 -1  2  2 -2
Curve Equation t 9024n1 [0,1,0,-3941,-91389] 1
9024o (4 curves)	0	2+ 3- 47+	2+ 3- -2  0  0 -2  2  0
Curve Equation t 9024o1 [0,1,0,3711,-42273] 2 9024o2 [0,1,0,-16769,-374049] 4 9024o3 [0,1,0,-224129,-40892193] 2 9024o4 [0,1,0,-137089,19238111] 4
9024p (2 curves)	2	2+ 3- 47+	2+ 3- -2 -4 -2 -4 -6 -8
Curve Equation t Generators 9024p1 [0,1,0,-9,567] 2 [-6:21:1]&[-3:24:1] 9024p2 [0,1,0,-1089,13311] 2 [-33:120:1]&[-30:141:1]
9024q (1 curve)	0	2+ 3- 47+	2+ 3-  3 -1 -1  2  4 -4
Curve Equation t 9024q1 [0,1,0,-9719,-251661] 1
9024r (2 curves)	1	2+ 3- 47-	2+ 3-  0  0  0  2  2 -6
Curve Equation t Generators 9024r1 [0,1,0,-308,1962] 2 [13:18:1] 9024r2 [0,1,0,-73,5111] 2 [-1:72:1]
9024s (2 curves)	1	2+ 3- 47-	2+ 3-  0  4  0 -6 -6 -2
Curve Equation t Generators 9024s1 [0,1,0,-513,-6561] 2 [45:252:1] 9024s2 [0,1,0,-9153,-340065] 2 [141:1092:1]
9024t (1 curve)	1	2+ 3- 47-	2+ 3-  1 -1 -3  2 -6  6
Curve Equation t Generators 9024t1 [0,1,0,-885,-10413] 1 [-18:3:1]
9024u (1 curve)	1	2+ 3- 47-	2+ 3-  1 -1 -3 -2  0  0
Curve Equation t Generators 9024u1 [0,1,0,-695,-6453] 1 [-14:27:1]
9024v (2 curves)	1	2+ 3- 47-	2+ 3-  2  0  2 -4  2 -8
Curve Equation t Generators 9024v1 [0,1,0,-1751137,1135106687] 2 [-1141:40608:1] 9024v2 [0,1,0,-30094657,63530531615] 2 [3098:6345:1]
9024w (2 curves)	1	2+ 3- 47-	2+ 3- -2  0  6  0 -6  4
Curve Equation t Generators 9024w1 [0,1,0,31,255] 2 [-3:12:1] 9024w2 [0,1,0,-449,3231] 2 [45:276:1]
9024x (1 curve)	1	2+ 3- 47-	2+ 3- -3  3 -3  2 -4  0
Curve Equation t Generators 9024x1 [0,1,0,-47,-141] 1 [-114:1:27]
9024y (1 curve)	1	2+ 3- 47-	2+ 3- -3 -5 -3  6  2  2
Curve Equation t Generators 9024y1 [0,1,0,-37,-61] 1 [-2:3:1]
9024z (2 curves)	1	2+ 3- 47-	2+ 3-  4 -4  0  2 -6 -6
Curve Equation t Generators 9024z1 [0,1,0,-961,13727] 2 [13:60:1] 9024z2 [0,1,0,-16321,797087] 2 [-1554:33605:27]
9024ba (2 curves)	2	2- 3+ 47+	2- 3+  0 -4  0 -6 -6  2
Curve Equation t Generators 9024ba1 [0,-1,0,-513,6561] 2 [-25:56:1]&[0:81:1] 9024ba2 [0,-1,0,-9153,340065] 2 [-107:288:1]&[8:517:1]
9024bb (1 curve)	0	2- 3+ 47+	2- 3+  1  1  3  2 -6 -6
Curve Equation t 9024bb1 [0,-1,0,-885,10413] 1
9024bc (1 curve)	0	2- 3+ 47+	2- 3+  1 -3 -1 -2  0  0
Curve Equation t 9024bc1 [0,-1,0,-435,-3351] 1
9024bd (2 curves)	0	2- 3+ 47+	2- 3+  2  0 -2 -4  2  8
Curve Equation t 9024bd1 [0,-1,0,-1751137,-1135106687] 2 9024bd2 [0,-1,0,-30094657,-63530531615] 2
9024be (2 curves)	2	2- 3+ 47+	2- 3+ -2  0 -6  0 -6 -4
Curve Equation t Generators 9024be1 [0,-1,0,31,-255] 2 [7:16:1]&[8:21:1] 9024be2 [0,-1,0,-449,-3231] 2 [-11:16:1]&[40:203:1]
9024bf (1 curve)	0	2- 3+ 47+	2- 3+ -3  5  3  6  2 -2
Curve Equation t 9024bf1 [0,-1,0,-37,61] 1
9024bg (2 curves)	0	2- 3+ 47+	2- 3+  4  0  2  4  6 -6
Curve Equation t 9024bg1 [0,-1,0,39,153] 2 9024bg2 [0,-1,0,-321,1953] 2
9024bh (2 curves)	0	2- 3+ 47+	2- 3+  4  4  0  2 -6  6
Curve Equation t 9024bh1 [0,-1,0,-961,-13727] 2 9024bh2 [0,-1,0,-16321,-797087] 2
9024bi (2 curves)	1	2- 3+ 47-	2- 3+  0  0 -2  4 -2  2
Curve Equation t Generators 9024bi1 [0,-1,0,-17433,-890919] 2 [78365:907472:343] 9024bi2 [0,-1,0,-279873,-56895615] 2 [3393:195048:1]
9024bj (1 curve)	1	2- 3+ 47-	2- 3+  1  3 -3  4  8 -6
Curve Equation t Generators 9024bj1 [0,-1,0,-5,3] 1 [-2:1:1]
9024bk (1 curve)	1	2- 3+ 47-	2- 3+ -1  1  5  6  0 -4
Curve Equation t Generators 9024bk1 [0,-1,0,-11,9] 1 [0:3:1]
9024bl (1 curve)	1	2- 3+ 47-	2- 3+ -1 -3  1  2  2  2
Curve Equation t Generators 9024bl1 [0,-1,0,-3941,91389] 1 [28:47:1]
9024bm (4 curves)	1	2- 3+ 47-	2- 3+ -2  0  0 -2  2  0
Curve Equation t Generators 9024bm1 [0,-1,0,3711,42273] 2 [87:1008:1] 9024bm2 [0,-1,0,-16769,374049] 4 [-7740:50337:64] 9024bm3 [0,-1,0,-137089,-19238111] 2 [-10361052:21098105:46656] 9024bm4 [0,-1,0,-224129,40892193] 4 [-473:6392:1]
9024bn (2 curves)	1	2- 3- 47+	2- 3-  0  0  2  4 -2 -2
Curve Equation t Generators 9024bn1 [0,1,0,-17433,890919] 2 [63:216:1] 9024bn2 [0,1,0,-279873,56895615] 2 [117:5076:1]
9024bo (1 curve)	1	2- 3- 47+	2- 3-  1  1 -1  4 -4 -6
Curve Equation t Generators 9024bo1 [0,1,0,-325,-2269] 1 [-10:9:1]
9024bp (1 curve)	1	2- 3- 47+	2- 3- -1 -1 -5  6  0  4
Curve Equation t Generators 9024bp1 [0,1,0,-11,-9] 1 [-2:3:1]
9024bq (1 curve)	1	2- 3- 47+	2- 3-  3  3 -5 -2 -6 -6
Curve Equation t Generators 9024bq1 [0,1,0,-49,-67] 1 [-4:9:1]
9024br (2 curves)	0	2- 3- 47-	2- 3-  0  4 -4 -2  2 -2
Curve Equation t 9024br1 [0,1,0,47,47] 2 9024br2 [0,1,0,-193,191] 2
9024bs (1 curve)	0	2- 3- 47-	2- 3-  1  3  1  2  2  6
Curve Equation t 9024bs1 [0,1,0,-105,381] 1
9024bt (1 curve)	0	2- 3- 47-	2- 3-  1  3  1 -2  0  0
Curve Equation t 9024bt1 [0,1,0,-435,3351] 1
9024bu (4 curves)	0	2- 3- 47-	2- 3- -2  0  4  2  2  0
Curve Equation t 9024bu1 [0,1,0,-129,-1665] 2 9024bu2 [0,1,0,-3009,-64449] 4 9024bu3 [0,1,0,-48129,-4080129] 2 9024bu4 [0,1,0,-3969,-20865] 2
9024bv (2 curves)	0	2- 3- 47-	2- 3-  3  1 -3  4  0  2
Curve Equation t 9024bv1 [0,1,0,-149,-717] 1 9024bv2 [0,1,0,-2069,35379] 1
9024bw (1 curve)	0	2- 3- 47-	2- 3-  3  1  5  4 -4 -2
Curve Equation t 9024bw1 [0,1,0,-18309,-959517] 1
9024bx (2 curves)	0	2- 3- 47-	2- 3-  4  0 -2  4  6  6
Curve Equation t 9024bx1 [0,1,0,39,-153] 2 9024bx2 [0,1,0,-321,-1953] 2

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