Cremona's table of elliptic curves

65824 = 2⁵ · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
65824a (1 curve)	0	2+ 11+ 17-	2+  3 -1 -2 11+  4 17- -8
Curve Equation t 65824a1 [0,0,0,-10648,2576816] 1
65824b (1 curve)	0	2+ 11+ 17-	2+ -3 -1  2 11+  4 17-  8
Curve Equation t 65824b1 [0,0,0,-10648,-2576816] 1
65824c (2 curves)	1	2+ 11- 17-	2+  0  0 -2 11- -2 17- -4
Curve Equation t Generators 65824c1 [0,0,0,-605,5324] 2 [-7:96:1] 65824c2 [0,0,0,605,23958] 2 [77:726:1]
65824d (1 curve)	1	2+ 11- 17-	2+  2  2  1 11-  6 17-  2
Curve Equation t Generators 65824d1 [0,-1,0,323,55893] 1 [-123:6292:27]
65824e (2 curves)	1	2+ 11- 17-	2+  2  4  4 11- -2 17- -8
Curve Equation t Generators 65824e1 [0,-1,0,-766,-7632] 2 [-2585503725:-806572754:144703125] 65824e2 [0,-1,0,-1976,23828] 2 [119532:162350:9261]
65824f (2 curves)	1	2+ 11- 17-	2+ -2  4 -4 11- -2 17-  8
Curve Equation t Generators 65824f1 [0,1,0,-766,7632] 2 [-32:20:1] 65824f2 [0,1,0,-1976,-23828] 2 [102554:11611765:8]
65824g (1 curve)	0	2- 11+ 17+	2-  3 -1  2 11+ -4 17+  8
Curve Equation t 65824g1 [0,0,0,-88,-1936] 1
65824h (1 curve)	2	2- 11+ 17+	2- -3 -1 -2 11+ -4 17+ -8
Curve Equation t Generators 65824h1 [0,0,0,-88,1936] 1 [16:68:1]&[0:44:1]
65824i (2 curves)	1	2- 11- 17+	2-  2  2 -2 11- -2 17+  4
Curve Equation t Generators 65824i1 [0,-1,0,-2702,-53128] 2 [341102580:5747101156:1157625] 65824i2 [0,-1,0,-2097,-78175] 2 [401387:13714140:343]
65824j (1 curve)	1	2- 11- 17+	2-  2 -2 -5 11-  2 17+ -2
Curve Equation t Generators 65824j1 [0,-1,0,-51949,4673253] 1 [-249:1452:1]
65824k (2 curves)	1	2- 11- 17+	2- -2  2  2 11- -2 17+ -4
Curve Equation t Generators 65824k1 [0,1,0,-2702,53128] 2 [54:260:1] 65824k2 [0,1,0,-2097,78175] 2 [-25:340:1]
65824l (1 curve)	1	2- 11- 17+	2- -2 -2  5 11-  2 17+  2
Curve Equation t Generators 65824l1 [0,1,0,-51949,-4673253] 1 [2053:92444:1]
65824m (2 curves)	0	2- 11- 17-	2-  0  0  2 11- -2 17-  4
Curve Equation t 65824m1 [0,0,0,-605,-5324] 2 65824m2 [0,0,0,605,-23958] 2
65824n (1 curve)	0	2- 11- 17-	2- -2  2 -1 11-  6 17- -2
Curve Equation t 65824n1 [0,1,0,323,-55893] 1

Data from Elliptic Curve Data by J. E. Cremona.
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