Cremona's table of elliptic curves

52111 = 31 · 41²

Class	r	Atkin-Lehner	Eigenvalues
52111a (2 curves)	1	31+ 41+	1  2  2  2  2  0 -4 -6
Curve Equation t Generators 52111a1 [1,1,0,-1402829,638367800] 2 [8438551682445022837537695350:-1738479023291824831931171725:12668311038351622165022888] 52111a2 [1,1,0,-1747434,300310295] 2 [-43300016026746990490330360272929176182345738244665964050:-344249196774032655756081016298465965342780412738156295473:31655498981601785999968893122730776053276787440125000]
52111b (2 curves)	1	31+ 41+	1 -2  2 -2 -2  0  4  6
Curve Equation t Generators 52111b1 [1,0,1,-835,9201] 2 [86:263:8] 52111b2 [1,0,1,-1040,4281] 2 [1908:-781:64]
52111c (2 curves)	0	31- 41+	1  0  2 -2  4  4  4  2
Curve Equation t 52111c1 [1,-1,0,-18806,-738353] 2 52111c2 [1,-1,0,-279361,-56757678] 2

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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