Cremona's table of elliptic curves

65366 = 2 · 7² · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
65366a (1 curve)	1	2+ 7+ 23+ 29+	2+ -1  4 7+ -2 -1  3  2
Curve Equation t Generators 65366a1 [1,1,0,-17028,-772400] 1 [1000:30860:1]
65366b (2 curves)	2	2+ 7+ 23+ 29-	2+  1  0 7+  0 -1 -3 -4
Curve Equation t Generators 65366b1 [1,0,1,-6396,93342] 3 [-45:561:1]&[12:129:1] 65366b2 [1,0,1,-255071,-49601870] 1 [-290:169:1]&[6031:463660:1]
65366c (1 curve)	2	2+ 7+ 23- 29+	2+ -1 -4 7+ -2 -5  5  2
Curve Equation t Generators 65366c1 [1,1,0,-1397,-20495] 1 [-22:25:1]&[-21:22:1]
65366d (1 curve)	2	2+ 7- 23+ 29+	2+  1 -4 7- -2  1 -3 -2
Curve Equation t Generators 65366d1 [1,0,1,-348,2202] 1 [-15:71:1]&[6:15:1]
65366e (1 curve)	2	2+ 7- 23+ 29+	2+ -1 -1 7- -3 -1  2  8
Curve Equation t Generators 65366e1 [1,1,0,-368,8464] 1 [20:88:1]&[0:92:1]
65366f (2 curves)	0	2+ 7- 23+ 29+	2+ -2  2 7-  4 -2  0 -2
Curve Equation t 65366f1 [1,0,1,-529364715,-4713107955706] 2 65366f2 [1,0,1,-8482445935,-300698159871714] 2
65366g (2 curves)	1	2+ 7- 23+ 29-	2+ -1  0 7-  0  1  3  4
Curve Equation t Generators 65366g1 [1,1,0,-130,-328] 1 [14:22:1] 65366g2 [1,1,0,-5205,142381] 1 [42:-13:1]
65366h (2 curves)	1	2+ 7- 23- 29+	2+  0  0 7-  2 -6 -2  2
Curve Equation t Generators 65366h1 [1,-1,0,-15052,3146940] 2 [-131:1756:1] 65366h2 [1,-1,0,-427142,107240874] 2 [-565:13243:1]
65366i (2 curves)	1	2+ 7- 23- 29+	2+  0  0 7- -4  4  4  4
Curve Equation t Generators 65366i1 [1,-1,0,2833,-5671] 2 [31:-349:1] 65366i2 [1,-1,0,-11377,-36933] 2 [-89:559:1]
65366j (2 curves)	1	2+ 7- 23- 29+	2+  0 -2 7- -2 -2  0 -6
Curve Equation t Generators 65366j1 [1,-1,0,-1938988,1041794256] 2 [793:1147:1] 65366j2 [1,-1,0,-31041068,66573858000] 2 [3131:6838:1]
65366k (2 curves)	1	2+ 7- 23- 29+	2+  0 -2 7-  4  4  0  6
Curve Equation t Generators 65366k1 [1,-1,0,-2527478,-1545987276] 2 [59644850732:5033630450262:7880599] 65366k2 [1,-1,0,-40439758,-98972964420] 2 [30879965546719464269:1701192500178272704079:3473067304217519]
65366l (1 curve)	1	2+ 7- 23- 29+	2+  1  4 7- -2  5 -5 -2
Curve Equation t Generators 65366l1 [1,0,1,-68479,6824374] 1 [167:146:1]
65366m (2 curves)	1	2+ 7- 23- 29+	2+ -1  3 7- -3 -5  6 -8
Curve Equation t Generators 65366m1 [1,1,0,113214,9230068] 1 [3492:205622:1] 65366m2 [1,1,0,-2349281,1406086837] 1 [3618:198895:1]
65366n (2 curves)	1	2+ 7- 23- 29+	2+  2  2 7-  0 -2  0  6
Curve Equation t Generators 65366n1 [1,1,0,1886,112932] 2 [2703:29641:27] 65366n2 [1,1,0,-26534,1516880] 2 [433:8236:1]
65366o (2 curves)	0	2- 7+ 23+ 29+	2-  1  0 7+ -6 -1 -3  2
Curve Equation t 65366o1 [1,0,0,-93340983,347093862569] 3 65366o2 [1,0,0,-97402103,315241883753] 1
65366p (2 curves)	1	2- 7- 23+ 29+	2- -1  0 7- -6  1  3 -2
Curve Equation t Generators 65366p1 [1,1,1,-1904918,-1012751853] 1 [-21525:10757:27] 65366p2 [1,1,1,-1987798,-919924461] 1 [-14721:47045:27]
65366q (2 curves)	0	2- 7- 23+ 29-	2-  2  2 7- -6  2  6  8
Curve Equation t 65366q1 [1,1,1,-129312,-14263999] 2 65366q2 [1,1,1,-1948192,-1047387839] 2
65366r (2 curves)	0	2- 7- 23- 29+	2-  2  0 7-  4  2 -4  0
Curve Equation t 65366r1 [1,1,1,4507,4507] 2 65366r2 [1,1,1,-18033,13523] 2
65366s (2 curves)	1	2- 7- 23- 29-	2-  0 -2 7-  4  0  6 -4
Curve Equation t Generators 65366s1 [1,-1,1,-19351261,32769908581] 2 [2641:7548:1] 65366s2 [1,-1,1,-19578621,31960597925] 2 [3105:31570:1]
65366t (4 curves)	1	2- 7- 23- 29-	2-  0 -2 7-  4 -6 -6 -4
Curve Equation t Generators 65366t1 [1,-1,1,-2205916,-1272100833] 4 [3189:153701:1] 65366t2 [1,-1,1,-35384796,-81007585249] 4 [7697:316449:1] 65366t3 [1,-1,1,-35474956,-80573951713] 2 [-3505:28163:1] 65366t4 [1,-1,1,-566156716,-5184910367969] 2 [3669375:1328562499:27]
65366u (2 curves)	1	2- 7- 23- 29-	2- -2  2 7-  2  4 -2  0
Curve Equation t Generators 65366u1 [1,0,0,-422087,104092645] 2 [35636:395867:64] 65366u2 [1,0,0,-834177,-132529433] 2 [52170516:-877678813:46656]

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