Cremona's table of elliptic curves

42598 = 2 · 19² · 59

Class	r	Atkin-Lehner	Eigenvalues
42598a (2 curves)	1	2+ 19+ 59+	2+  0  2  0 -2 -6  2 19+
Curve Equation t Generators 42598a1 [1,-1,0,-81701,-8967403] 2 [-23841664350:7976755471:144703125] 42598a2 [1,-1,0,-87781,-7550763] 2 [-72898:-379651:343]
42598b (2 curves)	1	2+ 19- 59-	2+  1  1  3  2  6 -2 19-
Curve Equation t Generators 42598b1 [1,0,1,-9033,-340980] 1 [160471239:12935271274:24389] 42598b2 [1,0,1,41507,17348020] 1 [341:8266:1]
42598c (1 curve)	1	2+ 19- 59-	2+  2  0 -3  3  1  3 19-
Curve Equation t Generators 42598c1 [1,1,0,7935,-11563] 1 [228459:4026982:9261]
42598d (1 curve)	1	2+ 19- 59-	2+ -2 -2 -3 -1  3  7 19-
Curve Equation t Generators 42598d1 [1,0,1,-1452,21464] 1 [-8:184:1]
42598e (2 curves)	1	2- 19+ 59-	2-  0  2  0 -2  6  2 19+
Curve Equation t Generators 42598e1 [1,-1,1,-29494129,61654887713] 2 [567:212116:1] 42598e2 [1,-1,1,-31689009,51949128353] 2 [289881:-144867880:729]
42598f (1 curve)	1	2- 19- 59+	2- -2  2 -3  1 -3 -1 19-
Curve Equation t Generators 42598f1 [1,0,0,20028,1477648] 1 [296:5628:1]
42598g (1 curve)	0	2- 19- 59-	2-  1 -3 -1 -2  2 -2 19-
Curve Equation t 42598g1 [1,0,0,173,-4979] 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