Cremona's table of elliptic curves

45123 = 3 · 13² · 89

Class	r	Atkin-Lehner	Eigenvalues
45123a (1 curve)	1	3+ 13+ 89+	0 3+ -4  2 -2 13+  4  4
Curve Equation t Generators 45123a1 [0,-1,1,-74585,13804832] 1 [1036:32363:1]
45123b (1 curve)	1	3+ 13+ 89+	-1 3+ -1  1  1 13+  0 -7
Curve Equation t Generators 45123b1 [1,1,1,-2116,-246628] 1 [850:24333:1]
45123c (1 curve)	1	3+ 13+ 89+	-1 3+  3 -2  0 13+ -3  4
Curve Equation t Generators 45123c1 [1,1,1,27966,-2756616] 1 [82:269:1]
45123d (1 curve)	0	3+ 13+ 89-	1 3+ -3 -1  3 13+  0 -1
Curve Equation t 45123d1 [1,1,0,-9680154,-11596393089] 1
45123e (1 curve)	2	3+ 13+ 89-	1 3+ -3  2  0 13+ -3 -4
Curve Equation t Generators 45123e1 [1,1,0,166,-1191] 1 [8:23:1]&[86:313:8]
45123f (1 curve)	2	3+ 13+ 89-	-2 3+  0 -1  0 13+ -3 -1
Curve Equation t Generators 45123f1 [0,-1,1,-77458,8322810] 1 [256:2281:1]&[175:310:1]
45123g (1 curve)	0	3+ 13- 89+	2 3+  4  5  2 13- -3  5
Curve Equation t 45123g1 [0,-1,1,-5126,-15481] 1
45123h (1 curve)	3	3+ 13- 89-	-2 3+ -4 -5 -2 13- -3 -5
Curve Equation t Generators 45123h1 [0,-1,1,-30,2] 1 [0:-2:1]&[-38:27:8]&[-4:6:1]
45123i (1 curve)	2	3- 13+ 89+	0 3- -2 -1  2 13+ -7 -1
Curve Equation t Generators 45123i1 [0,1,1,-29969,1785671] 1 [1514:13685:8]&[-177:1255:1]
45123j (2 curves)	1	3- 13+ 89-	0 3-  0 -2 -6 13+  0  4
Curve Equation t Generators 45123j1 [0,1,1,-563,7115] 1 [43:253:1] 45123j2 [0,1,1,4507,-98848] 1 [30:253:1]

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

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