Cremona's table of elliptic curves

52371 = 3² · 11 · 23²

Class	r	Atkin-Lehner	Eigenvalues
52371a (2 curves)	0	3+ 11+ 23-	1 3+ -4  2 11+ -2  2  6
Curve Equation t 52371a1 [1,-1,0,-8034,-49321] 2 52371a2 [1,-1,0,-79449,8591894] 2
52371b (2 curves)	1	3+ 11- 23-	-1 3+  4  2 11- -2 -2  6
Curve Equation t Generators 52371b1 [1,-1,1,-893,2124] 2 [704:18300:1] 52371b2 [1,-1,1,-8828,-315276] 2 [3198:12935:27]
52371c (2 curves)	0	3- 11- 23-	1 3-  0  2 11-  2  0 -2
Curve Equation t 52371c1 [1,-1,0,-109602,-203066825] 2 52371c2 [1,-1,0,-5894217,-5463595706] 2
52371d (6 curves)	0	3- 11- 23-	1 3- -2  0 11- -2  2  4
Curve Equation t 52371d1 [1,-1,0,147492,-63958869] 2 52371d2 [1,-1,0,-1780713,-824057280] 4 52371d3 [1,-1,0,-6708348,5801640741] 2 52371d4 [1,-1,0,-27704358,-56119192065] 4 52371d5 [1,-1,0,-26918793,-59452030134] 2 52371d6 [1,-1,0,-443268243,-3591986063976] 2
52371e (4 curves)	2	3- 11- 23-	-1 3- -2 -4 11- -2 -2  0
Curve Equation t Generators 52371e1 [1,-1,1,-31046,-2080020] 2 [-100:180:1]&[-97:156:1] 52371e2 [1,-1,1,-54851,1566906] 4 [-246:480:1]&[-178:2469:1] 52371e3 [1,-1,1,207004,12041106] 2 [75:5252:1]&[374:11715:1] 52371e4 [1,-1,1,-697586,224210310] 2 [11271:58360:27]&[-124:17634:1]
52371f (3 curves)	0	3- 11- 23-	2 3-  1  2 11-  4 -2  0
Curve Equation t 52371f1 [0,0,1,-1587,57793] 1 52371f2 [0,0,1,-49197,-7607417] 1 52371f3 [0,0,1,-37232607,-87444657887] 1

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

Part of Computational Number Theory
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