Cremona's table of elliptic curves

68890 = 2 · 5 · 83²

Class	r	Atkin-Lehner	Eigenvalues
68890a (1 curve)	2	2+ 5+ 83-	2+  0 5+  0  0  1 -1  0
Curve Equation t Generators 68890a1 [1,-1,0,-5,201] 1 [8:21:1]&[2:13:1]
68890b (1 curve)	0	2+ 5+ 83-	2+ -1 5+ -3 -5 -2 -3  6
Curve Equation t 68890b1 [1,1,0,-77053608,-263440426688] 1
68890c (1 curve)	2	2+ 5+ 83-	2+ -3 5+ -3  3  4 -1  0
Curve Equation t Generators 68890c1 [1,-1,0,22820,-40084400] 1 [685:-17565:1]&[600:13460:1]
68890d (2 curves)	3	2+ 5- 83-	2+ -2 5- -4 -6 -5 -3 -8
Curve Equation t Generators 68890d1 [1,0,1,22,156] 1 [5:17:1]&[-3:9:1]&[-10:91:8] 68890d2 [1,0,1,-1638,25388] 1 [-46:85:1]&[29:-65:1]&[-41:175:1]
68890e (2 curves)	1	2- 5+ 83-	2-  1 5+  5  3  4  3 -8
Curve Equation t Generators 68890e1 [1,0,0,258194,37115536] 1 [-2387028:62333389:21952] 68890e2 [1,0,0,-5769681,5398307561] 1 [129364:2794253:64]
68890f (2 curves)	1	2- 5+ 83-	2- -2 5+ -4 -6  5 -3  8
Curve Equation t Generators 68890f1 [1,0,0,154859,-88257375] 3 [2350:113955:1] 68890f2 [1,0,0,-11280881,-14595637139] 1 [339482998956:-131648839333:87528384]
68890g (1 curve)	0	2- 5- 83-	2-  0 5-  0  0 -1 -1  0
Curve Equation t 68890g1 [1,-1,1,-35737,-114187651] 1

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

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