Cremona's table of elliptic curves

17622 = 2 · 3² · 11 · 89

Class	r	Atkin-Lehner	Eigenvalues
17622a (1 curve)	0	2+ 3+ 11+ 89-	2+ 3+  0  0 11+  5  3 -2
Curve Equation t 17622a1 [1,-1,0,-3417,-76051] 1
17622b (2 curves)	0	2+ 3+ 11- 89+	2+ 3+  0 -4 11- -1  3  2
Curve Equation t 17622b1 [1,-1,0,-6920547,7009160085] 3 17622b2 [1,-1,0,-6913122,7024944788] 1
17622c (2 curves)	0	2+ 3- 11+ 89+	2+ 3-  0 -2 11+ -4  2  0
Curve Equation t 17622c1 [1,-1,0,-42867,-3122955] 2 17622c2 [1,-1,0,49293,-14790411] 2
17622d (2 curves)	1	2+ 3- 11- 89+	2+ 3-  0  0 11-  2  6  4
Curve Equation t Generators 17622d1 [1,-1,0,-4932,-132080] 2 [11245:42172:125] 17622d2 [1,-1,0,-4572,-152456] 2 [287:4559:1]
17622e (4 curves)	1	2+ 3- 11- 89+	2+ 3-  2  0 11-  2 -2  0
Curve Equation t Generators 17622e1 [1,-1,0,-2031,-34723] 2 [199:2623:1] 17622e2 [1,-1,0,-2211,-28063] 4 [-16:63:1] 17622e3 [1,-1,0,-13101,557819] 2 [83:151:1] 17622e4 [1,-1,0,5799,-189865] 2 [785:21690:1]
17622f (2 curves)	1	2+ 3- 11- 89+	2+ 3-  2  4 11- -2 -6  6
Curve Equation t Generators 17622f1 [1,-1,0,-216,972] 2 [-6:48:1] 17622f2 [1,-1,0,-1206,-15066] 2 [-17:26:1]
17622g (2 curves)	1	2- 3+ 11+ 89-	2- 3+  0 -4 11+ -1 -3  2
Curve Equation t Generators 17622g1 [1,-1,1,-768125,-259927099] 3 [1167:20200:1] 17622g2 [1,-1,1,-62284925,-189185037371] 1 [44253341:7794942904:1331]
17622h (1 curve)	1	2- 3+ 11- 89+	2- 3+  0  0 11-  5 -3 -2
Curve Equation t Generators 17622h1 [1,-1,1,-380,2943] 1 [11:-3:1]
17622i (2 curves)	1	2- 3- 11+ 89+	2- 3-  0 -4 11+  2  2  4
Curve Equation t Generators 17622i1 [1,-1,1,-545,-4755] 2 [14152:6591:512] 17622i2 [1,-1,1,-455,-6447] 2 [478:3123:8]
17622j (4 curves)	1	2- 3- 11+ 89+	2- 3-  2  0 11+  2 -6 -4
Curve Equation t Generators 17622j1 [1,-1,1,-1319,4191] 2 [-37:54:1] 17622j2 [1,-1,1,-12839,-553377] 4 [-69:54:1] 17622j3 [1,-1,1,-205079,-35694849] 2 [6545:524892:1] 17622j4 [1,-1,1,-4919,-1234497] 2 [129:450:1]
17622k (1 curve)	1	2- 3- 11+ 89+	2- 3- -2  0 11+  5 -5 -2
Curve Equation t Generators 17622k1 [1,-1,1,17869,-406893] 1 [179:2826:1]
17622l (2 curves)	0	2- 3- 11- 89+	2- 3- -2  4 11-  2 -2 -6
Curve Equation t 17622l1 [1,-1,1,-113711,-14664009] 2 17622l2 [1,-1,1,-177071,3558327] 2

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