Cremona's table of elliptic curves

1938 = 2 · 3 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
1938a (2 curves)	1	2+ 3+ 17+ 19+	2+ 3+  2 -2 -4  4 17+ 19+
Curve Equation t Generators 1938a1 [1,1,0,-19,25] 2 [0:5:1] 1938a2 [1,1,0,-9,63] 2 [-1:9:1]
1938b (2 curves)	1	2+ 3+ 17+ 19+	2+ 3+  2 -2  6 -6 17+ 19+
Curve Equation t Generators 1938b1 [1,1,0,-151531109,-691030827123] 2 [-32075929645811395:-530106289957651762:4130657291125] 1938b2 [1,1,0,-2399088229,-45229971251315] 2 [-1565485872164930474947227386804910545:311208178599679179647012293912381498:55370613101740637999271503332375]
1938c (2 curves)	0	2+ 3+ 17+ 19-	2+ 3+  0  0  4  4 17+ 19-
Curve Equation t 1938c1 [1,1,0,-300,-1968] 2 1938c2 [1,1,0,340,-8496] 2
1938d (2 curves)	0	2+ 3+ 17+ 19-	2+ 3+  4  2  0 -2 17+ 19-
Curve Equation t 1938d1 [1,1,0,-9673,355525] 2 1938d2 [1,1,0,567,1082565] 2
1938e (1 curve)	1	2+ 3- 17- 19+	2+ 3-  1 -3 -2  0 17- 19+
Curve Equation t Generators 1938e1 [1,0,1,-4628,125714] 1 [129:1231:1]
1938f (4 curves)	1	2+ 3- 17- 19+	2+ 3- -2  0  4 -6 17- 19+
Curve Equation t Generators 1938f1 [1,0,1,-22,-40] 2 [6:4:1] 1938f2 [1,0,1,-42,40] 4 [-1:9:1] 1938f3 [1,0,1,-552,4936] 2 [16:8:1] 1938f4 [1,0,1,148,344] 2 [2:24:1]
1938g (2 curves)	1	2- 3+ 17+ 19-	2- 3+ -2  2 -6  2 17+ 19-
Curve Equation t Generators 1938g1 [1,1,1,-54,-93] 2 [-5:11:1] 1938g2 [1,1,1,-434,3251] 2 [17:25:1]
1938h (2 curves)	1	2- 3- 17+ 19+	2- 3- -2 -2 -4  0 17+ 19+
Curve Equation t Generators 1938h1 [1,0,0,-139,-271] 2 [-10:17:1] 1938h2 [1,0,0,501,-1935] 2 [42:-327:1]
1938i (2 curves)	0	2- 3- 17+ 19-	2- 3-  3 -1  6 -4 17+ 19-
Curve Equation t 1938i1 [1,0,0,6,36] 3 1938i2 [1,0,0,-54,-984] 1
1938j (2 curves)	0	2- 3- 17- 19+	2- 3-  1  3  2  4 17- 19+
Curve Equation t 1938j1 [1,0,0,-692950,221979428] 5 1938j2 [1,0,0,3598190,517296968] 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
Back to Tables and computations