Cremona's table of elliptic curves

4761 = 3² · 23²

Class	r	Atkin-Lehner	Eigenvalues
4761a (2 curves)	0	3+ 23-	0 3+  0  5  0 -7  0  8
Curve Equation t 4761a1 [0,0,1,0,69960] 3 4761a2 [0,0,1,0,-1888927] 1
4761b (2 curves)	2	3+ 23-	0 3+  0 -5  0 -7  0 -8
Curve Equation t Generators 4761b1 [0,0,1,0,-6] 1 [2:1:1]&[6:14:1] 4761b2 [0,0,1,0,155] 1 [1:12:1]&[3:13:1]
4761c (2 curves)	1	3- 23-	-1 3-  0  2  4 -6  4 -2
Curve Equation t Generators 4761c1 [1,-1,1,-2480,-231694] 2 [222:3070:1] 4761c2 [1,-1,1,-73895,-7687420] 2 [696:16315:1]
4761d (2 curves)	1	3- 23-	-1 3-  4 -4  0 -2  4 -4
Curve Equation t Generators 4761d1 [1,-1,1,-326228,73496094] 2 [14:8295:1] 4761d2 [1,-1,1,-5253863,4636486104] 2 [184255:1114809:125]
4761e (2 curves)	1	3- 23-	-1 3- -4  4  0 -2 -4  4
Curve Equation t Generators 4761e1 [1,-1,1,-617,-5880] 2 [56:336:1] 4761e2 [1,-1,1,-9932,-378480] 2 [125:504:1]
4761f (1 curve)	1	3- 23-	2 3-  0  1 -4 -3  8 -4
Curve Equation t Generators 4761f1 [0,0,1,-182505,34490403] 1 [662046:5820849:2744]
4761g (1 curve)	1	3- 23-	2 3-  0 -1  4 -3 -8  4
Curve Equation t Generators 4761g1 [0,0,1,-345,-2835] 1 [1074:12313:8]

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

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