Cremona's table of elliptic curves

82524 = 2² · 3 · 13 · 23²

Class	r	Atkin-Lehner	Eigenvalues
82524a (2 curves)	1	2- 3+ 13+ 23-	2- 3+  0  0  4 13+ -2  4
Curve Equation t Generators 82524a1 [0,-1,0,-2958873,-1952907282] 2 [-2278212714240808222:-4956864449554500464:2327730853071889] 82524a2 [0,-1,0,-47307588,-125224595496] 2 [-285431901007711334641097169278623600:1395726925662993053536840441831777:71888438534188467125857551486976]
82524b (2 curves)	1	2- 3+ 13+ 23-	2- 3+  0 -4  0 13+ -2  8
Curve Equation t Generators 82524b1 [0,-1,0,-38793,2378286] 2 [3090:171396:1] 82524b2 [0,-1,0,-586308,172983960] 2 [-751:13754:1]
82524c (2 curves)	1	2- 3+ 13+ 23-	2- 3+ -4 -4  0 13+  6  0
Curve Equation t Generators 82524c1 [0,-1,0,-423905,103914546] 2 [-107:12167:1] 82524c2 [0,-1,0,-971420,-219119304] 2 [-314:7406:1]
82524d (2 curves)	0	2- 3+ 13- 23-	2- 3+  0 -2  0 13-  6 -2
Curve Equation t 82524d1 [0,-1,0,-88138453,-260349241802] 2 82524d2 [0,-1,0,-428145268,3173855592424] 2
82524e (2 curves)	0	2- 3+ 13- 23-	2- 3+  4  2  4 13- -2  2
Curve Equation t 82524e1 [0,-1,0,-2821,-50882] 2 82524e2 [0,-1,0,-10756,377608] 2
82524f (2 curves)	0	2- 3+ 13- 23-	2- 3+ -4 -2  0 13- -6  6
Curve Equation t 82524f1 [0,-1,0,-1598285,-651021354] 2 82524f2 [0,-1,0,-7382900,7111931976] 2
82524g (2 curves)	0	2- 3- 13+ 23-	2- 3-  2  0  4 13+  4 -4
Curve Equation t 82524g1 [0,1,0,16223,-8338000] 2 82524g2 [0,1,0,-531292,-143683708] 2
82524h (2 curves)	2	2- 3- 13+ 23-	2- 3- -2  0 -4 13+ -4  4
Curve Equation t Generators 82524h1 [0,1,0,31,696] 2 [-5:21:1]&[1:27:1] 82524h2 [0,1,0,-1004,11460] 2 [-8:138:1]&[64:462:1]
82524i (2 curves)	1	2- 3- 13- 23-	2- 3-  0  2  4 13- -6 -6
Curve Equation t Generators 82524i1 [0,1,0,-1213173,513914076] 2 [96405:766521:125] 82524i2 [0,1,0,-1221108,506842404] 2 [13404:130130:27]
82524j (4 curves)	1	2- 3- 13- 23-	2- 3-  0 -2  0 13-  6 -2
Curve Equation t Generators 82524j1 [0,1,0,-7053,-7308] 2 [153:-1587:1] 82524j2 [0,1,0,-78468,-8462844] 2 [-156:78:1] 82524j3 [0,1,0,-387933,92870280] 2 [452:3174:1] 82524j4 [0,1,0,-395868,88864692] 2 [3754:20631:8]
82524k (1 curve)	1	2- 3- 13- 23-	2- 3-  1 -2 -1 13-  0  6
Curve Equation t Generators 82524k1 [0,1,0,-130,581] 1 [5:9:1]
82524l (1 curve)	1	2- 3- 13- 23-	2- 3- -1  2  1 13-  0 -6
Curve Equation t Generators 82524l1 [0,1,0,-68946,-7620147] 1 [7053:591951:1]
82524m (2 curves)	1	2- 3- 13- 23-	2- 3-  3  2 -3 13-  0  2
Curve Equation t Generators 82524m1 [0,1,0,-96454,11497913] 3 [146:741:1] 82524m2 [0,1,0,-64714,19210733] 1 [47345:876603:125]
82524n (2 curves)	1	2- 3- 13- 23-	2- 3- -3 -2  3 13-  0 -2
Curve Equation t Generators 82524n1 [0,1,0,-51024342,-140303301759] 1 [23778:3477201:1] 82524n2 [0,1,0,-34233882,-234010859019] 1 [2361749189618483:348650745144789633:99832769119]

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