Cremona's table of elliptic curves

72891 = 3² · 7 · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
72891a (1 curve)	2	3+ 7- 13+ 89+	0 3+ -4 7- -4 13+  4 -6
Curve Equation t Generators 72891a1 [0,0,1,-192,1046] 1 [-78:353:8]&[-8:45:1]
72891b (1 curve)	1	3+ 7- 13+ 89-	0 3+  4 7-  4 13+ -4 -6
Curve Equation t Generators 72891b1 [0,0,1,-1728,-28249] 1 [115:1137:1]
72891c (4 curves)	1	3- 7+ 13- 89+	1 3-  2 7+  4 13- -6  4
Curve Equation t Generators 72891c1 [1,-1,0,-4446,-123201] 2 [1345110:48584679:1000] 72891c2 [1,-1,0,-72891,-7556328] 4 [-18562393268276:8386464023093:119386201024] 72891c3 [1,-1,0,-74646,-7171983] 2 [-42672:165831:343] 72891c4 [1,-1,0,-1166256,-484482141] 2 [-123188587269317300235596:61595199710850215119403:197655255625409178688]
72891d (2 curves)	0	3- 7+ 13- 89-	1 3-  2 7+  0 13-  0  4
Curve Equation t 72891d1 [1,-1,0,195174,30593119] 2 72891d2 [1,-1,0,-1084221,285704482] 2
72891e (1 curve)	2	3- 7- 13+ 89-	1 3-  0 7- -2 13+ -7  1
Curve Equation t Generators 72891e1 [1,-1,0,-432,5589] 1 [-20:87:1]&[-90:801:8]
72891f (1 curve)	0	3- 7- 13- 89+	0 3- -2 7-  0 13- -4 -2
Curve Equation t 72891f1 [0,0,1,-27576,-1991014] 1
72891g (2 curves)	1	3- 7- 13- 89-	1 3-  2 7-  0 13-  4  4
Curve Equation t Generators 72891g1 [1,-1,0,-19656,1086939] 2 [654:843:8] 72891g2 [1,-1,0,-316251,68532642] 2 [306:432:1]

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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