Cremona's table of elliptic curves

67522 = 2 · 7² · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
67522a (1 curve)	1	2+ 7+ 13+ 53+	2+  0  0 7+ -6 13+  7 -3
Curve Equation t Generators 67522a1 [1,-1,0,-107,55775] 1 [37:300:1]
67522b (1 curve)	1	2+ 7+ 13- 53-	2+ -1 -2 7+  0 13- -7  2
Curve Equation t Generators 67522b1 [1,1,0,-1936,-1026220] 1 [118:578:1]
67522c (1 curve)	1	2+ 7+ 13- 53-	2+  2  2 7+ -6 13- -5 -3
Curve Equation t Generators 67522c1 [1,1,0,-265245894,1662617133332] 1 [12514711:-6248756:1331]
67522d (1 curve)	1	2+ 7+ 13- 53-	2+ -2 -2 7+  2 13- -5  5
Curve Equation t Generators 67522d1 [1,0,1,1248,-147346] 1 [146:1702:1]
67522e (1 curve)	1	2+ 7+ 13- 53-	2+ -3 -2 7+  0 13-  1  6
Curve Equation t Generators 67522e1 [1,-1,0,-98548,-11889200] 1 [806312:2077932:2197]
67522f (1 curve)	1	2+ 7- 13+ 53-	2+  1  2 7-  0 13+  7 -2
Curve Equation t Generators 67522f1 [1,0,1,-40,2986] 1 [-1:55:1]
67522g (1 curve)	1	2+ 7- 13+ 53-	2+  1 -4 7- -3 13+  4  4
Curve Equation t Generators 67522g1 [1,0,1,-5318,176152] 1 [130:1233:1]
67522h (1 curve)	1	2+ 7- 13+ 53-	2+  2  2 7-  2 13+  5 -5
Curve Equation t Generators 67522h1 [1,1,0,61176,50600768] 1 [277661357:20445093797:50653]
67522i (1 curve)	1	2+ 7- 13+ 53-	2+ -2 -2 7- -6 13+  5  3
Curve Equation t Generators 67522i1 [1,0,1,-5413182,-4848053584] 1 [3231493352007908114787672:388851328356579954728266645:215677888250037700096]
67522j (1 curve)	1	2+ 7- 13+ 53-	2+  3  2 7-  0 13+ -1 -6
Curve Equation t Generators 67522j1 [1,-1,0,-2011,35237] 1 [1074:2983:27]
67522k (1 curve)	1	2+ 7- 13- 53+	2+  0  0 7- -6 13- -7  3
Curve Equation t Generators 67522k1 [1,-1,0,-2,-162] 1 [11:27:1]
67522l (1 curve)	1	2+ 7- 13- 53+	2+ -1  0 7-  5 13-  4  0
Curve Equation t Generators 67522l1 [1,1,0,75435,-1357019] 1 [6945:213377:125]
67522m (1 curve)	0	2+ 7- 13- 53-	2+ -1  1 7-  4 13- -5  4
Curve Equation t 67522m1 [1,1,0,-676617,-215280827] 1
67522n (2 curves)	0	2+ 7- 13- 53-	2+  2  0 7-  4 13-  2 -6
Curve Equation t 67522n1 [1,1,0,148690,-11746636] 2 67522n2 [1,1,0,-682350,-101000332] 2
67522o (2 curves)	1	2- 7- 13+ 53+	2- -1  3 7-  0 13+  3  4
Curve Equation t Generators 67522o1 [1,1,1,-2549,-930021] 1 [147:1304:1] 67522o2 [1,1,1,22931,25029003] 1 [-2877231:247209216:50653]
67522p (1 curve)	1	2- 7- 13+ 53+	2- -2 -1 7-  3 13+ -5 -6
Curve Equation t Generators 67522p1 [1,0,0,12739,2554747] 1 [5342:137937:8]
67522q (2 curves)	2	2- 7- 13+ 53-	2-  0  0 7- -4 13+  0 -4
Curve Equation t Generators 67522q1 [1,-1,1,-15805,772741] 2 [1173:-11624:27]&[-418:9851:8] 67522q2 [1,-1,1,-253245,49115525] 2 [-5:7100:1]&[247:1136:1]
67522r (2 curves)	0	2- 7- 13- 53+	2-  2  2 7-  2 13-  2  4
Curve Equation t 67522r1 [1,1,1,-19018077,31552079411] 2 67522r2 [1,1,1,-2961757,83157091891] 2
67522s (1 curve)	0	2- 7- 13- 53+	2-  2  3 7- -1 13-  7  6
Curve Equation t 67522s1 [1,1,1,-1324,-248627] 1
67522t (2 curves)	1	2- 7- 13- 53-	2-  0  0 7- -4 13-  0  4
Curve Equation t Generators 67522t1 [1,-1,1,-774430,-263501395] 2 [1865:68179:1] 67522t2 [1,-1,1,-12408990,-16821807187] 2 [4609:152219:1]
67522u (1 curve)	1	2- 7- 13- 53-	2-  0  1 7-  1 13- -3  6
Curve Equation t Generators 67522u1 [1,-1,1,-379882,-90102743] 1 [961:20295:1]

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