Cremona's table of elliptic curves

23529 = 3 · 11 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
23529a (1 curve)	0	3+ 11+ 23- 31+	0 3+  4  0 11+ -5 -4  1
Curve Equation t 23529a1 [0,-1,1,-5681,-661876] 1
23529b (4 curves)	1	3+ 11+ 23- 31-	-1 3+ -2  4 11+  2 -6 -8
Curve Equation t Generators 23529b1 [1,1,1,-684,2892] 4 [1734:24549:8] 23529b2 [1,1,1,-5489,-156634] 4 [108:670:1] 23529b3 [1,1,1,-374,-430798] 2 [21513:596522:27] 23529b4 [1,1,1,-87484,-9996034] 2 [821:21324:1]
23529c (1 curve)	0	3+ 11- 23+ 31+	0 3+ -1  2 11- -4 -4  4
Curve Equation t 23529c1 [0,-1,1,-661251,215448968] 1
23529d (4 curves)	0	3+ 11- 23- 31-	1 3+  2  0 11-  2 -2  4
Curve Equation t 23529d1 [1,1,0,961,0] 2 23529d2 [1,1,0,-3844,-4805] 4 23529d3 [1,1,0,-43059,-3447882] 2 23529d4 [1,1,0,-41509,3226852] 2
23529e (4 curves)	1	3- 11+ 23- 31+	-1 3- -2  0 11+  2 -2  4
Curve Equation t Generators 23529e1 [1,0,0,-174,-765] 2 [15:0:1] 23529e2 [1,0,0,-779,7584] 4 [1:82:1] 23529e3 [1,0,0,926,36569] 2 [-7:176:1] 23529e4 [1,0,0,-12164,515355] 2 [70:55:1]
23529f (4 curves)	1	3- 11- 23+ 31+	1 3-  2 -4 11- -2 -2  8
Curve Equation t Generators 23529f1 [1,0,1,15,-2441] 2 [17305:195069:125] 23529f2 [1,0,1,-2630,-51109] 4 [555:12742:1] 23529f3 [1,0,1,-5735,91721] 2 [-3:331:1] 23529f4 [1,0,1,-41845,-3298111] 2 [36532:788417:64]
23529g (2 curves)	0	3- 11- 23- 31+	1 3-  2  0 11-  0  4  0
Curve Equation t 23529g1 [1,0,1,5,41] 2 23529g2 [1,0,1,-150,661] 2
23529h (1 curve)	1	3- 11- 23- 31-	0 3-  2  0 11-  1 -2  5
Curve Equation t Generators 23529h1 [0,1,1,-27,-1276] 1 [12:16:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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