Cremona's table of elliptic curves

21756 = 2² · 3 · 7² · 37

Class	r	Atkin-Lehner	Eigenvalues
21756a (1 curve)	1	2- 3+ 7+ 37-	2- 3+ -2 7+  0 -2  1  8
Curve Equation t Generators 21756a1 [0,-1,0,-114,4929] 1 [-16:49:1]
21756b (2 curves)	1	2- 3+ 7- 37+	2- 3+  0 7-  4 -2  0 -6
Curve Equation t Generators 21756b1 [0,-1,0,-1134368293,-14704984821470] 2 [1385400236357986422625876662991638971602300980149539794278:1250373102402243234514002811227137003960028047121065078631387:1697827970883783901514738991858620167245930292200632] 21756b2 [0,-1,0,-1160623228,-13988571661112] 2 [2764758732632738421169372539120792117565445442908755452855428749208619696978875184109684572069605085947677446:2495255328113446820979489584391475702030859243085813330677382231124309974598948521134384875561858848536716987787:3388225604662545183937133137280089069564299644825832388689270443529058675017164634012726936405794200248]
21756c (2 curves)	1	2- 3+ 7- 37+	2- 3+  0 7- -4 -2  0  2
Curve Equation t Generators 21756c1 [0,-1,0,-22213,1165690] 2 [2042:27783:8] 21756c2 [0,-1,0,-346348,78569128] 2 [88062:481229:216]
21756d (2 curves)	1	2- 3+ 7- 37+	2- 3+  2 7- -4  6 -6  2
Curve Equation t Generators 21756d1 [0,-1,0,-457,-902] 2 [-9:49:1] 21756d2 [0,-1,0,1748,-8840] 2 [42:370:1]
21756e (2 curves)	1	2- 3+ 7- 37+	2- 3+  2 7- -6  6  2 -2
Curve Equation t Generators 21756e1 [0,-1,0,-7317,55350] 2 [119:925:1] 21756e2 [0,-1,0,-70772,-7178520] 2 [462:7650:1]
21756f (2 curves)	1	2- 3+ 7- 37+	2- 3+ -4 7-  4  6 -4  2
Curve Equation t Generators 21756f1 [0,-1,0,-3005,24186] 2 [-30:294:1] 21756f2 [0,-1,0,-39020,2977416] 2 [1818:19257:8]
21756g (4 curves)	0	2- 3+ 7- 37-	2- 3+  0 7-  0  4  0  4
Curve Equation t 21756g1 [0,-1,0,-83953,-9107846] 2 21756g2 [0,-1,0,-1334188,-592717544] 2 21756g3 [0,-1,0,-877753,313476598] 2 21756g4 [0,-1,0,-1634068,-306399176] 2
21756h (1 curve)	0	2- 3+ 7- 37-	2- 3+  2 7-  6 -4  7  2
Curve Equation t 21756h1 [0,-1,0,-5602,166825] 1
21756i (2 curves)	0	2- 3+ 7- 37-	2- 3+  3 7-  3  1  6  4
Curve Equation t 21756i1 [0,-1,0,-3789,-144423] 1 21756i2 [0,-1,0,31491,2494521] 1
21756j (2 curves)	0	2- 3+ 7- 37-	2- 3+ -4 7-  0 -4  4  8
Curve Equation t 21756j1 [0,-1,0,-323465,36509586] 2 21756j2 [0,-1,0,-4441180,3602450776] 2
21756k (1 curve)	0	2- 3- 7+ 37-	2- 3- -2 7+  6  4 -7 -2
Curve Equation t 21756k1 [0,1,0,-114,-519] 1
21756l (2 curves)	0	2- 3- 7- 37+	2- 3-  0 7-  4  2  0 -6
Curve Equation t 21756l1 [0,1,0,-653,6096] 2 21756l2 [0,1,0,-1388,-10956] 2
21756m (1 curve)	0	2- 3- 7- 37+	2- 3-  1 7- -3  1 -6  4
Curve Equation t 21756m1 [0,1,0,-702725,-523154409] 1
21756n (2 curves)	2	2- 3- 7- 37+	2- 3- -2 7- -6 -6 -2  2
Curve Equation t Generators 21756n1 [0,1,0,-149,-204] 2 [-11:15:1]&[-5:21:1] 21756n2 [0,1,0,-1444,20516] 2 [-25:204:1]&[-4:162:1]
21756o (2 curves)	1	2- 3- 7- 37-	2- 3-  0 7-  0 -4  8 -8
Curve Equation t Generators 21756o1 [0,1,0,-1633,-2920] 2 [-19:147:1] 21756o2 [0,1,0,-17068,849092] 2 [116:666:1]
21756p (2 curves)	1	2- 3- 7- 37-	2- 3-  0 7- -4 -4  0  0
Curve Equation t Generators 21756p1 [0,1,0,-5553,157212] 2 [156:1764:1] 21756p2 [0,1,0,-7268,50196] 2 [-5:294:1]
21756q (1 curve)	1	2- 3- 7- 37-	2- 3-  2 7-  0  2 -1 -8
Curve Equation t Generators 21756q1 [0,1,0,-2,-15] 1 [6:15:1]
21756r (2 curves)	1	2- 3- 7- 37-	2- 3- -4 7-  0 -4 -4  4
Curve Equation t Generators 21756r1 [0,1,0,-49065,4166784] 2 [135:147:1] 21756r2 [0,1,0,-50780,3858084] 2 [-68:2646:1]

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