Cremona's table of elliptic curves

18972 = 2² · 3² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
18972a (2 curves)	0	2- 3+ 17+ 31+	2- 3+  2  0  0  2 17+  4
Curve Equation t 18972a1 [0,0,0,-4944,130977] 2 18972a2 [0,0,0,-78639,8487990] 2
18972b (2 curves)	1	2- 3+ 17- 31+	2- 3+ -2  0  0  2 17-  4
Curve Equation t Generators 18972b1 [0,0,0,-44496,-3536379] 2 [-3435:6902:27] 18972b2 [0,0,0,-707751,-229175730] 2 [-35971446:609841:74088]
18972c (1 curve)	2	2- 3- 17+ 31-	2- 3- -1 -3 -2 -2 17+ -5
Curve Equation t Generators 18972c1 [0,0,0,267,45709] 1 [-29590:109089:1000]&[9:221:1]
18972d (1 curve)	0	2- 3- 17- 31+	2- 3-  1  1  4  4 17- -5
Curve Equation t 18972d1 [0,0,0,483,-1703] 1
18972e (2 curves)	0	2- 3- 17- 31+	2- 3-  4  0 -4  6 17-  8
Curve Equation t 18972e1 [0,0,0,-228,-1015] 2 18972e2 [0,0,0,537,-6370] 2
18972f (2 curves)	1	2- 3- 17- 31-	2- 3-  0  2  3 -4 17- -4
Curve Equation t Generators 18972f1 [0,0,0,-1965,-33527] 1 [160855920:6756137801:91125] 18972f2 [0,0,0,-1065,-64271] 3 [15885:2002073:1]
18972g (1 curve)	1	2- 3- 17- 31-	2- 3-  3 -3  6 -6 17- -5
Curve Equation t Generators 18972g1 [0,0,0,-9561,-379163] 1 [1388:51579:1]

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

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