Cremona's table of elliptic curves

113300 = 2² · 5² · 11 · 103

Class	r	Atkin-Lehner	Eigenvalues
113300a (2 curves)	0	2- 5+ 11+ 103+	2-  0 5+ -4 11+ -4  0 -6
Curve Equation t 113300a1 [0,0,0,6800,397125] 2 113300a2 [0,0,0,-57575,4452750] 2
113300b (1 curve)	0	2- 5+ 11+ 103+	2-  1 5+  0 11+  0  0 -2
Curve Equation t 113300b1 [0,1,0,223267,-16218337] 1
113300c (1 curve)	0	2- 5+ 11+ 103+	2-  1 5+  4 11+ -2  2  4
Curve Equation t 113300c1 [0,1,0,32467,-3267937] 1
113300d (1 curve)	1	2- 5+ 11+ 103-	2- -1 5+  0 11+  0  0  3
Curve Equation t Generators 113300d1 [0,-1,0,-102708,12703912] 1 [186:22:1]
113300e (1 curve)	1	2- 5+ 11- 103+	2-  1 5+ -2 11-  6  0  7
Curve Equation t Generators 113300e1 [0,1,0,-1133,15488] 1 [154:275:8]
113300f (2 curves)	1	2- 5+ 11- 103+	2-  2 5+ -2 11-  4  0  2
Curve Equation t Generators 113300f1 [0,-1,0,-28333,1614537] 1 [8280:19371:125] 113300f2 [0,-1,0,-578333,-168885463] 1 [-644815571080:463757375919:1501123625]
113300g (1 curve)	0	2- 5+ 11- 103-	2-  3 5+  2 11-  6  0 -3
Curve Equation t 113300g1 [0,0,0,200,150125] 1
113300h (1 curve)	1	2- 5- 11+ 103+	2-  1 5-  0 11+  0  0  3
Curve Equation t Generators 113300h1 [0,1,0,-4108,99988] 1 [-33:448:1]
113300i (2 curves)	0	2- 5- 11- 103+	2-  0 5-  4 11- -4  4  8
Curve Equation t 113300i1 [0,0,0,-17480,889125] 2 113300i2 [0,0,0,-14455,1206750] 2
113300j (2 curves)	1	2- 5- 11- 103-	2-  0 5- -4 11-  4 -4  8
Curve Equation t Generators 113300j1 [0,0,0,-437000,111140625] 2 [276:3399:1] 113300j2 [0,0,0,-361375,150843750] 2 [375:8250:1]
113300k (2 curves)	1	2- 5- 11- 103-	2- -2 5-  2 11- -4  0  2
Curve Equation t Generators 113300k1 [0,1,0,-1133,12463] 3 [-22:165:1] 113300k2 [0,1,0,-23133,-1360337] 1 [-86:21:1]

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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