Cremona's table of elliptic curves

89001 = 3² · 11 · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
89001a (1 curve)	1	3+ 11+ 29- 31-	2 3+  0 -2 11+  1 -3  4
Curve Equation t Generators 89001a1 [0,0,1,-1215,-16315] 1 [799234170:20674800049:1191016]
89001b (1 curve)	1	3+ 11- 29+ 31-	-2 3+  0 -2 11-  1  3  4
Curve Equation t Generators 89001b1 [0,0,1,-135,604] 1 [7:1:1]
89001c (1 curve)	0	3- 11+ 29+ 31+	1 3-  1 -4 11+  2  3 -5
Curve Equation t 89001c1 [1,-1,0,-30699,-1517778] 1
89001d (2 curves)	2	3- 11+ 29+ 31+	-1 3-  2 -2 11+  0  2 -6
Curve Equation t Generators 89001d1 [1,-1,1,-82724,7522206] 2 [-232:3882:1]&[574:10887:8] 89001d2 [1,-1,1,-1255919,542029848] 2 [516:5324:1]&[632:336:1]
89001e (1 curve)	1	3- 11+ 29+ 31-	1 3-  3  2 11+  0  3 -1
Curve Equation t Generators 89001e1 [1,-1,0,-9063,-310442] 1 [-2956:7211:64]
89001f (2 curves)	0	3- 11+ 29- 31-	0 3-  0  2 11+ -1  3 -4
Curve Equation t 89001f1 [0,0,1,-300,-7650] 1 89001f2 [0,0,1,2670,194013] 3
89001g (1 curve)	2	3- 11- 29+ 31-	1 3- -1 -2 11-  0 -1 -5
Curve Equation t Generators 89001g1 [1,-1,0,-1140,6857] 1 [-32:115:1]&[14:551:8]
89001h (1 curve)	0	3- 11- 29+ 31-	1 3- -3  1 11- -2  0 -2
Curve Equation t 89001h1 [1,-1,0,-396,-2939] 1
89001i (4 curves)	0	3- 11- 29- 31+	-1 3-  2 -4 11-  2 -6  4
Curve Equation t 89001i1 [1,-1,1,-226544,41546378] 2 89001i2 [1,-1,1,-259349,28752428] 4 89001i3 [1,-1,1,832936,207013340] 4 89001i4 [1,-1,1,-1876514,-968714944] 2

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

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