Cremona's table of elliptic curves

28749 = 3 · 7 · 37²

Class	r	Atkin-Lehner	Eigenvalues
28749a (4 curves)	1	3+ 7+ 37+	-1 3+  2 7+  4 -2 -2 -4
Curve Equation t Generators 28749a1 [1,1,1,-22617,1297998] 4 [182320530:-1589353256:1157625] 28749a2 [1,1,1,-29462,438266] 4 [-10830:196967:125] 28749a3 [1,1,1,114283,3600656] 2 [1088:37103:1] 28749a4 [1,1,1,-282727,-57610072] 2 [57792:2553709:27]
28749b (1 curve)	1	3+ 7+ 37+	2 3+ -1 7+  1  1 -2 -4
Curve Equation t Generators 28749b1 [0,-1,1,-3466240006,78557325749583] 1 [12260262078902866:-91574538081338579:352793763496]
28749c (1 curve)	0	3+ 7- 37+	0 3+ -3 7- -1  1  2 -4
Curve Equation t 28749c1 [0,-1,1,-231817,-42884445] 1
28749d (4 curves)	0	3+ 7- 37+	1 3+  2 7-  0 -2  6 -4
Curve Equation t 28749d1 [1,1,0,-19194,1613895] 2 28749d2 [1,1,0,-354599,81104880] 4 28749d3 [1,1,0,-402514,57712777] 2 28749d4 [1,1,0,-5673164,5198628123] 2
28749e (6 curves)	0	3- 7+ 37+	1 3-  2 7+  4  2  6 -4
Curve Equation t 28749e1 [1,0,1,1340,-4051] 2 28749e2 [1,0,1,-5505,-34169] 4 28749e3 [1,0,1,-53420,4718999] 2 28749e4 [1,0,1,-67110,-6687509] 4 28749e5 [1,0,1,-46575,-10852007] 2 28749e6 [1,0,1,-1073325,-428090351] 2
28749f (4 curves)	0	3- 7+ 37+	-1 3-  2 7+  0  2 -2  4
Curve Equation t 28749f1 [1,0,0,-1795472,-926160273] 2 28749f2 [1,0,0,-1802317,-918744400] 4 28749f3 [1,0,0,-138982,-2548480033] 2 28749f4 [1,0,0,-3575172,1185634485] 2
28749g (1 curve)	0	3- 7+ 37+	2 3- -1 7+ -3  5 -2  4
Curve Equation t 28749g1 [0,1,1,-456,117569] 1
28749h (1 curve)	1	3- 7- 37+	0 3-  1 7- -1  5  2  4
Curve Equation t Generators 28749h1 [0,1,1,11865,17293043] 1 [567:14374:1]
28749i (1 curve)	1	3- 7- 37+	0 3-  2 7- -4  4  7 -4
Curve Equation t Generators 28749i1 [0,1,1,-67537,-5662349] 1 [-115:772:1]
28749j (1 curve)	1	3- 7- 37+	0 3- -2 7- -4 -4 -7  4
Curve Equation t Generators 28749j1 [0,1,1,-49,-128] 1 [-4:4:1]

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

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