Cremona's table of elliptic curves

9009 = 3² · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
9009a (2 curves)	1	3+ 7- 11+ 13-	0 3+  0 7- 11+ 13-  0  2
Curve Equation t Generators 9009a1 [0,0,1,-510,4434] 3 [2:58:1] 9009a2 [0,0,1,270,16355] 1 [-15:94:1]
9009b (2 curves)	0	3+ 7- 11- 13-	0 3+  0 7- 11- 13-  0  2
Curve Equation t 9009b1 [0,0,1,30,-606] 3 9009b2 [0,0,1,-4590,-119725] 1
9009c (4 curves)	0	3- 7+ 11+ 13+	1 3-  2 7+ 11+ 13+  2 -4
Curve Equation t 9009c1 [1,-1,0,-141,5480] 2 9009c2 [1,-1,0,-5586,161207] 4 9009c3 [1,-1,0,-9051,-59860] 2 9009c4 [1,-1,0,-89241,10283462] 2
9009d (4 curves)	2	3- 7+ 11+ 13+	-1 3- -2 7+ 11+ 13+ -6 -4
Curve Equation t Generators 9009d1 [1,-1,1,94,-2280] 2 [14:33:1]&[20:75:1] 9009d2 [1,-1,1,-2111,-34914] 4 [-28:54:1]&[-22:33:1] 9009d3 [1,-1,1,-33296,-2330130] 2 [-105:54:1]&[951:28254:1] 9009d4 [1,-1,1,-6206,145266] 2 [-64:558:1]&[-28:558:1]
9009e (1 curve)	0	3- 7+ 11+ 13+	2 3-  3 7+ 11+ 13+  8 -4
Curve Equation t 9009e1 [0,0,1,-1791,-29491] 1
9009f (1 curve)	0	3- 7+ 11+ 13+	2 3- -4 7+ 11+ 13+  2 -6
Curve Equation t 9009f1 [0,0,1,393,19201] 1
9009g (1 curve)	1	3- 7+ 11- 13+	0 3-  1 7+ 11- 13+ -2 -1
Curve Equation t Generators 9009g1 [0,0,1,-142932,-20874497] 1 [511:6286:1]
9009h (1 curve)	1	3- 7- 11+ 13+	0 3-  1 7- 11+ 13+  4 -1
Curve Equation t Generators 9009h1 [0,0,1,-12,409] 1 [13:49:1]
9009i (1 curve)	0	3- 7- 11- 13+	0 3-  1 7- 11- 13+  4  7
Curve Equation t 9009i1 [0,0,1,-295032,-61702407] 1
9009j (1 curve)	0	3- 7- 11- 13+	0 3- -3 7- 11- 13+ -4  7
Curve Equation t 9009j1 [0,0,1,59406,527215] 1
9009k (2 curves)	0	3- 7- 11- 13+	-1 3-  0 7- 11- 13+  0 -8
Curve Equation t 9009k1 [1,-1,1,-31190,-3197964] 2 9009k2 [1,-1,1,-567005,-164156790] 2
9009l (4 curves)	0	3- 7- 11- 13+	-1 3-  2 7- 11- 13+  6  4
Curve Equation t 9009l1 [1,-1,1,-824,-4494] 2 9009l2 [1,-1,1,-6269,189348] 4 9009l3 [1,-1,1,-99824,12164388] 2 9009l4 [1,-1,1,166,554856] 2
9009m (1 curve)	0	3- 7- 11- 13+	2 3-  0 7- 11- 13+  6 -2
Curve Equation t 9009m1 [0,0,1,16935,893119] 1
9009n (1 curve)	1	3- 7- 11- 13-	-2 3-  0 7- 11- 13- -6  6
Curve Equation t Generators 9009n1 [0,0,1,-885,10314] 1 [32:121:1]

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