Cremona's table of elliptic curves

17980 = 2² · 5 · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
17980a (2 curves)	2	2- 5+ 29+ 31+	2- -2 5+ -2  0  0 -2 -4
Curve Equation t Generators 17980a1 [0,1,0,-341,-1580] 2 [-16:6:1]&[-11:31:1] 17980a2 [0,1,0,-4836,-131036] 2 [-40:2:1]&[80:22:1]
17980b (2 curves)	1	2- 5+ 29+ 31-	2-  1 5+  5  3 -4  3 -4
Curve Equation t Generators 17980b1 [0,1,0,3395019,-1140038281] 3 [23075237642:1462849688375:7645373] 17980b2 [0,1,0,-63336821,-198222517945] 1 [1547641019153893357798373658606:135049957493552712404791591796875:115244956897516210106167623]
17980c (4 curves)	1	2- 5+ 29+ 31-	2- -2 5+  2  0 -4 -6 -4
Curve Equation t Generators 17980c1 [0,1,0,-288021,59370580] 6 [2889:152801:1] 17980c2 [0,1,0,-4607716,3805410084] 6 [4172960:189108242:1331] 17980c3 [0,1,0,-903061,-260600136] 2 [6074873034594:309834168261255:2067798824] 17980c4 [0,1,0,-4683356,3673930900] 2 [788306210637331416030:35483077947408632497529:250797891391047000]
17980d (2 curves)	1	2- 5+ 29- 31+	2-  2 5+ -2 -4  6 -2  0
Curve Equation t Generators 17980d1 [0,-1,0,-1081,-6234] 2 [-59982:102660:2197] 17980d2 [0,-1,0,3724,-50440] 2 [6845:70122:125]
17980e (1 curve)	1	2- 5+ 29- 31+	2- -3 5+ -3  3  6  7  6
Curve Equation t Generators 17980e1 [0,0,0,32,-92] 1 [4:10:1]
17980f (1 curve)	1	2- 5- 29+ 31+	2-  1 5-  1  3  0 -5 -4
Curve Equation t Generators 17980f1 [0,1,0,-125,-2977] 1 [41:250:1]

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

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