Cremona's table of elliptic curves

1922 = 2 · 31²

Class	r	Atkin-Lehner	Eigenvalues
1922a (2 curves)	1	2+ 31+	2+  1 -3 -1  3  5  3 -7
Curve Equation t Generators 1922a1 [1,0,1,-4345,64840] 3 [119:1052:1] 1922a2 [1,0,1,-153300,-23112558] 1 [1041:30231:1]
1922b (2 curves)	2	2+ 31-	2+ -1 -3 -1 -3 -5 -3 -7
Curve Equation t Generators 1922b1 [1,1,0,-4,-4] 1 [-2:2:1]&[-1:1:1] 1922b2 [1,1,0,-159,709] 1 [22:81:1]&[1:23:1]
1922c (2 curves)	0	2- 31+	2-  3  1 -3 -3  5  3  7
Curve Equation t 1922c1 [1,-1,1,-68892,4028767] 1 1922c2 [1,-1,1,-73354752,-241800700097] 1
1922d (4 curves)	1	2- 31-	2-  0 -2  0  0 -2  6  4
Curve Equation t Generators 1922d1 [1,-1,1,-661,-32419] 4 [21257:3088538:1] 1922d2 [1,-1,1,-19881,-1070299] 4 [23228295805:3374899848614:1092727] 1922d3 [1,-1,1,-317791,-68874615] 2 [27497026964693456898474:3994045625106542444756791:1293368746198925304] 1922d4 [1,-1,1,-29491,79057] 2 [-11006360:18635919:64000]
1922e (2 curves)	1	2- 31-	2- -3  1 -3  3 -5 -3  7
Curve Equation t Generators 1922e1 [1,-1,1,-72,-117] 1 [-3:9:1] 1922e2 [1,-1,1,-76332,8136267] 1 [1278:-641:8]

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

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