Cremona's table of elliptic curves

109551 = 3 · 13 · 53²

Class	r	Atkin-Lehner	Eigenvalues
109551a (1 curve)	1	3+ 13+ 53+	1 3+  2 -1  2 13+ -2 -1
Curve Equation t Generators 109551a1 [1,1,0,-1489,-22748] 1 [356146:3694237:2744]
109551b (1 curve)	1	3+ 13+ 53+	-1 3+ -4  5  0 13+ -6  5
Curve Equation t Generators 109551b1 [1,1,1,-85,-634] 1 [13:19:1]
109551c (1 curve)	1	3+ 13+ 53+	2 3+  2  2 -3 13+  0 -7
Curve Equation t Generators 109551c1 [0,-1,1,-461612,121189493] 1 [43578262104042:134437954451255:102109494024]
109551d (2 curves)	2	3+ 13+ 53-	1 3+ -2 -2  2 13+ -2 -4
Curve Equation t Generators 109551d1 [1,1,0,-111,360] 2 [-12:18:1]&[-74:249:8] 109551d2 [1,1,0,154,2109] 2 [4:-55:1]&[1726:24607:8]
109551e (2 curves)	0	3+ 13- 53+	0 3+  0 -4  3 13-  6  7
Curve Equation t 109551e1 [0,-1,1,-37453,-12990819] 1 109551e2 [0,-1,1,-5515003,-4983210138] 1
109551f (1 curve)	1	3+ 13- 53-	1 3+ -2  3  0 13- -4  1
Curve Equation t Generators 109551f1 [1,1,0,-89946,111570819] 1 [-4010:46569:8]
109551g (1 curve)	1	3- 13+ 53-	1 3-  4  5  0 13+ -6 -5
Curve Equation t Generators 109551g1 [1,0,1,-238824,-89107451] 1 [18508733548:349737811359:22906304]
109551h (2 curves)	1	3- 13+ 53-	-1 3-  2 -2  2 13+ -2  4
Curve Equation t Generators 109551h1 [1,0,0,-313262,60476715] 2 [361574520615:-10719712390715:332812557] 109551h2 [1,0,0,431123,304486118] 2 [-167931:10210582:729]
109551i (1 curve)	1	3- 13+ 53-	-1 3- -2 -1  2 13+ -2  1
Curve Equation t Generators 109551i1 [1,0,0,-4184064,-3294615357] 1 [86142:8721009:8]
109551j (1 curve)	1	3- 13- 53+	-1 3-  2  3  0 13- -4 -1
Curve Equation t Generators 109551j1 [1,0,0,-32,747] 1 [18:69:1]
109551k (4 curves)	1	3- 13- 53+	-1 3- -2 -4  4 13-  2  0
Curve Equation t Generators 109551k1 [1,0,0,1346,-40381] 2 [56867547:-543105376:804357] 109551k2 [1,0,0,-12699,-475776] 4 [8175:126686:27] 109551k3 [1,0,0,-54834,4470873] 2 [197:1052:1] 109551k4 [1,0,0,-195284,-33231525] 2 [1347:45675:1]

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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