Cremona's table of elliptic curves

82467 = 3² · 7² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
82467a (2 curves)	0	3+ 7- 11+ 17+	-1 3+  2 7- 11+ -4 17+  4
Curve Equation t 82467a1 [1,-1,1,-472394,36830728] 2 82467a2 [1,-1,1,1796551,286414678] 2
82467b (2 curves)	0	3+ 7- 11+ 17+	-1 3+ -4 7- 11+  2 17+ -2
Curve Equation t 82467b1 [1,-1,1,-36869447,-85869906650] 2 82467b2 [1,-1,1,-589360862,-5506915670630] 2
82467c (2 curves)	1	3+ 7- 11+ 17-	1 3+ -2 7- 11+  2 17- -8
Curve Equation t Generators 82467c1 [1,-1,0,-3243,47984] 2 [-52:298:1] 82467c2 [1,-1,0,9252,320375] 2 [-122:3413:8]
82467d (2 curves)	1	3+ 7- 11- 17+	-1 3+  2 7- 11-  2 17+ -8
Curve Equation t Generators 82467d1 [1,-1,1,-29189,-1266380] 2 [-115:805:1] 82467d2 [1,-1,1,83266,-8733392] 2 [1726:34223:8]
82467e (2 curves)	0	3+ 7- 11- 17-	1 3+ -2 7- 11- -4 17-  4
Curve Equation t 82467e1 [1,-1,0,-52488,-1346605] 2 82467e2 [1,-1,0,199617,-10674490] 2
82467f (2 curves)	0	3+ 7- 11- 17-	1 3+  4 7- 11-  2 17- -2
Curve Equation t 82467f1 [1,-1,0,-4096605,3181732448] 2 82467f2 [1,-1,0,-65484540,203981667833] 2
82467g (1 curve)	0	3- 7+ 11+ 17+	0 3-  2 7+ 11+  6 17+ -6
Curve Equation t 82467g1 [0,0,1,1176,24169] 1
82467h (1 curve)	1	3- 7+ 11+ 17-	-2 3-  0 7+ 11+  3 17- -1
Curve Equation t Generators 82467h1 [0,0,1,-16905,-1349546] 1 [226:2524:1]
82467i (2 curves)	1	3- 7+ 11- 17+	0 3-  0 7+ 11- -4 17+  2
Curve Equation t Generators 82467i1 [0,0,1,-10290,828945] 1 [-49:1102:1] 82467i2 [0,0,1,-1059870,419978718] 3 [512:3397:1]
82467j (1 curve)	1	3- 7+ 11- 17+	1 3-  1 7+ 11- -5 17+  0
Curve Equation t Generators 82467j1 [1,-1,0,-840114,288011821] 1 [380:4661:1]
82467k (1 curve)	1	3- 7+ 11- 17+	1 3-  4 7+ 11- -2 17+  0
Curve Equation t Generators 82467k1 [1,-1,0,-450,-4397] 1 [114:1133:1]
82467l (1 curve)	1	3- 7+ 11- 17+	-1 3-  0 7+ 11- -6 17+ -4
Curve Equation t Generators 82467l1 [1,-1,1,899410,54315888] 1 [186036:80148707:1]
82467m (2 curves)	0	3- 7+ 11- 17-	0 3-  0 7+ 11- -4 17- -4
Curve Equation t 82467m1 [0,0,1,20580,-186678] 1 82467m2 [0,0,1,-257250,55629369] 3
82467n (1 curve)	0	3- 7+ 11- 17-	1 3-  3 7+ 11- -5 17-  0
Curve Equation t 82467n1 [1,-1,0,-89973,-10293858] 1
82467o (1 curve)	1	3- 7- 11+ 17+	0 3- -2 7- 11+ -2 17+ -2
Curve Equation t Generators 82467o1 [0,0,1,-1644636,-811808370] 1 [83686926550:5889346879055:15813251]
82467p (1 curve)	1	3- 7- 11+ 17+	0 3- -2 7- 11+  6 17+  6
Curve Equation t Generators 82467p1 [0,0,1,-118776,15910312] 1 [2018:11309:8]
82467q (2 curves)	1	3- 7- 11+ 17+	0 3-  3 7- 11+ -2 17+ -2
Curve Equation t Generators 82467q1 [0,0,1,4704,246874] 1 [182:2670:1] 82467q2 [0,0,1,-43806,-8072591] 1 [4281725:11050728:15625]
82467r (2 curves)	1	3- 7- 11+ 17+	1 3-  0 7- 11+ -6 17+ -2
Curve Equation t Generators 82467r1 [1,-1,0,-97468947,370404365400] 2 [248269656:-45758068656:6859] 82467r2 [1,-1,0,-97431462,370703473209] 2 [-9504:666693:1]
82467s (1 curve)	1	3- 7- 11+ 17+	2 3-  0 7- 11+  4 17+  2
Curve Equation t Generators 82467s1 [0,0,1,-3675,101785] 1 [47054:572963:2744]
82467t (1 curve)	1	3- 7- 11+ 17+	-2 3-  0 7- 11+ -3 17+  1
Curve Equation t Generators 82467t1 [0,0,1,-828345,462894192] 1 [662:14305:1]
82467u (1 curve)	0	3- 7- 11+ 17-	0 3- -2 7- 11+ -6 17-  6
Curve Equation t 82467u1 [0,0,1,57624,-8290053] 1
82467v (1 curve)	0	3- 7- 11+ 17-	1 3-  1 7- 11+ -1 17-  4
Curve Equation t 82467v1 [1,-1,0,-62484,6154217] 1
82467w (4 curves)	0	3- 7- 11+ 17-	1 3-  2 7- 11+  2 17- -8
Curve Equation t 82467w1 [1,-1,0,-5301,149512] 2 82467w2 [1,-1,0,-7506,15007] 4 82467w3 [1,-1,0,29979,97474] 2 82467w4 [1,-1,0,-80271,-8702240] 2
82467x (2 curves)	0	3- 7- 11- 17+	0 3-  0 7- 11-  4 17+  4
Curve Equation t 82467x1 [0,0,1,420,544] 1 82467x2 [0,0,1,-5250,-162185] 1
82467y (2 curves)	0	3- 7- 11- 17+	1 3-  0 7- 11-  2 17+ -6
Curve Equation t 82467y1 [1,-1,0,-12357,-429080] 2 82467y2 [1,-1,0,25128,-2550731] 2
82467z (1 curve)	0	3- 7- 11- 17+	1 3- -3 7- 11-  5 17+  0
Curve Equation t 82467z1 [1,-1,0,-4408686,3539610661] 1
82467ba (2 curves)	1	3- 7- 11- 17-	0 3-  0 7- 11-  4 17- -2
Curve Equation t Generators 82467ba1 [0,0,1,-210,-2417] 1 [79:688:1] 82467ba2 [0,0,1,-21630,-1224428] 1 [184:1012:1]
82467bb (1 curve)	1	3- 7- 11- 17-	1 3- -1 7- 11- -1 17-  0
Curve Equation t Generators 82467bb1 [1,-1,0,-344430,-77728491] 1 [1118700:19450143:1331]
82467bc (1 curve)	1	3- 7- 11- 17-	1 3- -1 7- 11-  5 17-  0
Curve Equation t Generators 82467bc1 [1,-1,0,-17145,-834786] 1 [-78:192:1]
82467bd (4 curves)	1	3- 7- 11- 17-	1 3-  2 7- 11-  2 17-  0
Curve Equation t Generators 82467bd1 [1,-1,0,-59006691,174476109240] 2 [1695895212:-55304505042:493039] 82467bd2 [1,-1,0,-59643936,170515376667] 4 [13460496290516362:-398414392548273231:4063828597912] 82467bd3 [1,-1,0,30357549,639945122130] 2 [-10452517396050:687361495767738:1622234375] 82467bd4 [1,-1,0,-159841341,-552408900408] 2 [1018721505508863073860328920956578970700:213460503226735031796673598549348216589921:21352569481729898871072020623000000]
82467be (1 curve)	1	3- 7- 11- 17-	1 3- -4 7- 11-  2 17-  0
Curve Equation t Generators 82467be1 [1,-1,0,-22059,1552284] 1 [4:1208:1]
82467bf (1 curve)	1	3- 7- 11- 17-	-1 3-  0 7- 11-  6 17-  4
Curve Equation t Generators 82467bf1 [1,-1,1,18355,-163600] 1 [10:139:1]
82467bg (1 curve)	1	3- 7- 11- 17-	-1 3- -3 7- 11- -1 17- -4
Curve Equation t Generators 82467bg1 [1,-1,1,11236,-2426308] 1 [240:-3869:1]
82467bh (1 curve)	1	3- 7- 11- 17-	2 3- -3 7- 11-  6 17-  4
Curve Equation t Generators 82467bh1 [0,0,1,-9849,415287] 1 [354:2053:8]
82467bi (1 curve)	1	3- 7- 11- 17-	-2 3-  1 7- 11-  2 17- -8
Curve Equation t Generators 82467bi1 [0,0,1,-179468037,-925398486196] 1 [21477619:99535755335:1]
82467bj (1 curve)	1	3- 7- 11- 17-	-2 3-  4 7- 11- -4 17- -2
Curve Equation t Generators 82467bj1 [0,0,1,3087,11576] 1 [15:247:1]

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