Cremona's table of elliptic curves

89056 = 2⁵ · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
89056a (1 curve)	1	2+ 11+ 23+	2+  2  3  1 11+  1  7 -8
Curve Equation t Generators 89056a1 [0,-1,0,-36824,-2695768] 1 [-205832247207860:155309333553627:1934434936000]
89056b (1 curve)	0	2+ 11+ 23-	2+ -2  3 -1 11+  1  7  8
Curve Equation t 89056b1 [0,1,0,-36824,2695768] 1
89056c (1 curve)	0	2+ 11- 23+	2+  0  1 -3 11- -3  1  6
Curve Equation t 89056c1 [0,0,0,-71027,4368342] 1
89056d (4 curves)	0	2+ 11- 23+	2+  0  2  0 11-  2 -6 -4
Curve Equation t 89056d1 [0,0,0,-20449,1118040] 4 89056d2 [0,0,0,-7139,2552858] 2 89056d3 [0,0,0,-34364,-596288] 2 89056d4 [0,0,0,-326579,71834070] 2
89056e (1 curve)	0	2+ 11- 23+	2+  2 -1  1 11- -5  5 -2
Curve Equation t 89056e1 [0,-1,0,-1976,-24088] 1
89056f (1 curve)	1	2+ 11- 23-	2+  0  1  3 11- -3  1 -6
Curve Equation t Generators 89056f1 [0,0,0,-71027,-4368342] 1 [-4444:30613:64]
89056g (4 curves)	1	2+ 11- 23-	2+  0  2  0 11-  2 -6  4
Curve Equation t Generators 89056g1 [0,0,0,-20449,-1118040] 4 [454971823436:1584620290050:2668267603] 89056g2 [0,0,0,-7139,-2552858] 2 [3385059:73274918:6859] 89056g3 [0,0,0,-34364,596288] 2 [-2429284:50348100:29791] 89056g4 [0,0,0,-326579,-71834070] 2 [9420550600677649609890:-999139041008703179080350:835292738725256917]
89056h (1 curve)	1	2+ 11- 23-	2+ -2 -1 -1 11- -5  5  2
Curve Equation t Generators 89056h1 [0,1,0,-1976,24088] 1 [-26:242:1]
89056i (1 curve)	0	2- 11+ 23+	2-  2  3 -1 11+ -1 -7  8
Curve Equation t 89056i1 [0,-1,0,-304,2136] 1
89056j (1 curve)	1	2- 11+ 23-	2- -2  3  1 11+ -1 -7 -8
Curve Equation t Generators 89056j1 [0,1,0,-304,-2136] 1 [-10:2:1]
89056k (1 curve)	1	2- 11- 23+	2-  2  1  1 11-  5 -3 -2
Curve Equation t Generators 89056k1 [0,-1,0,-45452480,81395245208] 1 [52443525137876569099964953335:721936411194850529640881960602:27112019612347338988705875]
89056l (1 curve)	0	2- 11- 23-	2- -2  1 -1 11-  5 -3  2
Curve Equation t 89056l1 [0,1,0,-45452480,-81395245208] 1

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

Part of Computational Number Theory
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