Cremona's table of elliptic curves

115575 = 3 · 5² · 23 · 67

Class	r	Atkin-Lehner	Eigenvalues
115575a (1 curve)	1	3+ 5+ 23+ 67+	1 3+ 5+  2 -1  4  3 -5
Curve Equation t Generators 115575a1 [1,1,0,-28500,-1699875] 1 [-96610:452617:1000]
115575b (1 curve)	0	3+ 5+ 23- 67+	-1 3+ 5+  2  1  0 -7 -1
Curve Equation t 115575b1 [1,1,1,-8638,-189844] 1
115575c (1 curve)	0	3+ 5- 23+ 67+	1 3+ 5- -3  5  3 -4 -3
Curve Equation t 115575c1 [1,1,0,-118511170575,15538175807330250] 1
115575d (1 curve)	0	3+ 5- 23- 67-	1 3+ 5-  0  0  0  1 -7
Curve Equation t 115575d1 [1,1,0,-280700,57273375] 1
115575e (1 curve)	0	3+ 5- 23- 67-	1 3+ 5-  0  0 -5  6 -2
Curve Equation t 115575e1 [1,1,0,-12575,-628500] 1
115575f (1 curve)	2	3- 5+ 23+ 67+	-1 3- 5+  0  0  0 -1 -7
Curve Equation t Generators 115575f1 [1,0,0,-11228,458187] 1 [61:-65:1]&[-77:970:1]
115575g (1 curve)	1	3- 5+ 23- 67+	-1 3- 5+  4 -3  6  1 -7
Curve Equation t Generators 115575g1 [1,0,0,-138,-483] 1 [-4:5:1]
115575h (4 curves)	0	3- 5+ 23- 67-	-1 3- 5+  0 -4  6 -2  0
Curve Equation t 115575h1 [1,0,0,-4088,-100833] 2 115575h2 [1,0,0,-5213,-41208] 4 115575h3 [1,0,0,19912,-317583] 2 115575h4 [1,0,0,-48338,4055667] 2
115575i (1 curve)	0	3- 5+ 23- 67-	-1 3- 5+  3  5 -3  4 -3
Curve Equation t 115575i1 [1,0,0,-4740446823,124305406458642] 1
115575j (1 curve)	1	3- 5- 23+ 67+	-1 3- 5-  0  0  5 -6 -2
Curve Equation t Generators 115575j1 [1,0,0,-503,-5028] 1 [1209:6158:27]

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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