Cremona's table of elliptic curves

22253 = 7 · 11 · 17²

Class	r	Atkin-Lehner	Eigenvalues
22253a (1 curve)	2	7+ 11+ 17-	1 -1  0 7+ 11+  0 17- -1
Curve Equation t Generators 22253a1 [1,1,0,-150,-647] 1 [-8:15:1]&[16:29:1]
22253b (3 curves)	2	7+ 11- 17+	0 -1 -3 7+ 11- -4 17+  2
Curve Equation t Generators 22253b1 [0,-1,1,-25817,1605285] 1 [23:1011:1]&[65:444:1] 22253b2 [0,-1,1,-14257,3034390] 1 [-92:1886:1]&[40:1589:1] 22253b3 [0,-1,1,127353,-78462165] 1 [405:6275:1]&[669:17484:1]
22253c (1 curve)	0	7+ 11- 17+	1  2  3 7+ 11- -3 17+  6
Curve Equation t 22253c1 [1,1,0,-4196,177377] 1
22253d (1 curve)	1	7+ 11- 17-	-1 -1  0 7+ 11- -6 17- -7
Curve Equation t Generators 22253d1 [1,1,1,-2807063,1807931694] 1 [1276:16846:1]
22253e (2 curves)	0	7- 11+ 17+	1 -2  2 7- 11+  4 17+  0
Curve Equation t 22253e1 [1,0,1,1005,46649] 2 22253e2 [1,0,1,-14890,644301] 2
22253f (1 curve)	2	7- 11+ 17+	1 -2 -3 7- 11+ -3 17+  6
Curve Equation t Generators 22253f1 [1,0,1,-15,35] 1 [-1:7:1]&[7:13:1]
22253g (1 curve)	2	7- 11+ 17+	-1  0 -1 7- 11+  1 17+ -4
Curve Equation t Generators 22253g1 [1,-1,1,-40948,3266788] 1 [-191:2118:1]&[98:384:1]
22253h (1 curve)	2	7- 11+ 17+	-1  1  0 7- 11+ -6 17+ -7
Curve Equation t Generators 22253h1 [1,0,0,-9713,367418] 1 [-46:870:1]&[59:-5:1]
22253i (1 curve)	1	7- 11- 17+	0  3  1 7- 11- -4 17+ -6
Curve Equation t Generators 22253i1 [0,0,1,578,1228] 1 [102:1576:27]
22253j (1 curve)	1	7- 11- 17+	1  1  0 7- 11-  0 17+ -1
Curve Equation t Generators 22253j1 [1,0,1,-43501,-2874563] 1 [415525:4771051:1331]
22253k (1 curve)	1	7- 11- 17+	2 -3 -1 7- 11- -2 17+  8
Curve Equation t Generators 22253k1 [0,0,1,-117610573,-490927843935] 1 [441762:101633493:8]
22253l (1 curve)	1	7- 11- 17+	-2  1  3 7- 11- -6 17+ -4
Curve Equation t Generators 22253l1 [0,1,1,-6454,218160] 1 [45:144:1]

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