Cremona's table of elliptic curves

18921 = 3 · 7 · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
18921a (1 curve)	2	3+ 7+ 17- 53+	-2 3+ -3 7+ -5 -4 17-  1
Curve Equation t Generators 18921a1 [0,-1,1,98,-240] 1 [3:8:1]&[10:40:1]
18921b (2 curves)	1	3+ 7+ 17- 53-	1 3+  0 7+  0 -2 17-  4
Curve Equation t Generators 18921b1 [1,1,0,-2727980,-1735379901] 2 [92881710585321717722995264032085030640632136750:-3512226274791807854592219898460191781958265638947:34902042336477472735554331824459688185546875] 18921b2 [1,1,0,-2727895,-1735493342] 2 [653622739664783253497934:27869206403431622942538658:219824711231515014743]
18921c (4 curves)	1	3+ 7+ 17- 53-	-1 3+ -2 7+  4 -2 17-  0
Curve Equation t Generators 18921c1 [1,1,1,871,-38194] 4 [115856:351389:4096] 18921c2 [1,1,1,-13174,-543814] 4 [3523:207270:1] 18921c3 [1,1,1,-206359,-36167128] 2 [4558:42699:8] 18921c4 [1,1,1,-44709,3000720] 2 [28198:1657341:8]
18921d (2 curves)	1	3+ 7- 17+ 53-	1 3+ -4 7- -4 -2 17+ -4
Curve Equation t Generators 18921d1 [1,1,0,-17,0] 2 [4:2:1] 18921d2 [1,1,0,68,85] 2 [4:19:1]
18921e (1 curve)	1	3+ 7- 17- 53+	0 3+  1 7-  5  0 17- -5
Curve Equation t Generators 18921e1 [0,-1,1,-163625,35811980] 1 [80:4819:1]
18921f (1 curve)	1	3+ 7- 17- 53+	0 3+ -2 7-  2  6 17-  1
Curve Equation t Generators 18921f1 [0,-1,1,-119,596] 1 [-4:31:1]
18921g (1 curve)	1	3- 7- 17+ 53+	0 3- -1 7-  1  4 17+ -7
Curve Equation t Generators 18921g1 [0,1,1,-91,334] 1 [-4:25:1]
18921h (2 curves)	1	3- 7- 17+ 53+	0 3- -3 7- -3 -4 17+ -1
Curve Equation t Generators 18921h1 [0,1,1,-567,80372] 3 [-42:178:1] 18921h2 [0,1,1,5103,-2165515] 1 [1338:14735:8]

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

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