Cremona's table of elliptic curves

115311 = 3 · 7 · 17² · 19

Class	r	Atkin-Lehner	Eigenvalues
115311a (4 curves)	1	3+ 7+ 17+ 19+	1 3+ -2 7+  4  2 17+ 19+
Curve Equation t Generators 115311a1 [1,1,0,-11432701,14439701416] 2 [-593524861785791287770804:368029034630959593129658562:2835090776760960300337] 115311a2 [1,1,0,-181435506,940580982495] 4 [88700874117224978:10785422472246558801:4156196506552] 115311a3 [1,1,0,-179948601,956757021990] 2 [-22455192134063543467485860:-30622886352362010315184913239:29284586120932035704000] 115311a4 [1,1,0,-2902967291,60200846988156] 2 [28817928626114175509060658:1234159140257577222086648481:798405486063123916216]
115311b (2 curves)	0	3+ 7+ 17+ 19-	0 3+  0 7+ -3  5 17+ 19-
Curve Equation t 115311b1 [0,-1,1,-19153,1025517] 1 115311b2 [0,-1,1,-74233,-6728370] 1
115311c (1 curve)	0	3+ 7+ 17+ 19-	0 3+ -1 7+  6 -3 17+ 19-
Curve Equation t 115311c1 [0,-1,1,-307881,-63804085] 1
115311d (2 curves)	0	3+ 7+ 17+ 19-	0 3+  3 7+  0 -1 17+ 19-
Curve Equation t 115311d1 [0,-1,1,-924029,340277738] 1 115311d2 [0,-1,1,-5787899,-5132150833] 1
115311e (1 curve)	0	3+ 7+ 17+ 19-	1 3+  0 7+ -3 -2 17+ 19-
Curve Equation t 115311e1 [1,1,0,-242672005,-1455151338062] 1
115311f (1 curve)	2	3+ 7+ 17+ 19-	-2 3+  0 7+  3  1 17+ 19-
Curve Equation t Generators 115311f1 [0,-1,1,-708,7472] 1 [-30:28:1]&[5:63:1]
115311g (1 curve)	0	3+ 7+ 17- 19+	-1 3+  4 7+  3  2 17- 19+
Curve Equation t 115311g1 [1,1,1,12999,-278304] 1
115311h (2 curves)	0	3+ 7- 17+ 19+	-1 3+ -4 7-  2  4 17+ 19+
Curve Equation t 115311h1 [1,1,1,-124565,16868066] 2 115311h2 [1,1,1,-134680,13954946] 2
115311i (1 curve)	0	3+ 7- 17+ 19+	2 3+ -1 7-  2 -5 17+ 19+
Curve Equation t 115311i1 [0,-1,1,-25342506,-49070077405] 1
115311j (4 curves)	1	3+ 7- 17+ 19-	-1 3+ -2 7-  0  2 17+ 19-
Curve Equation t Generators 115311j1 [1,1,1,-7851269,-9184568254] 2 [4657577726088141490287377330009605295410:1922515366783281381286456093627990893582521:27263067242110746263356134301861625] 115311j2 [1,1,1,-128539114,-560969395594] 4 [-131113962714780926489828344:51681156294588118296476379:19986419683957330883791] 115311j3 [1,1,1,-131462349,-534121236060] 2 [-9498587610:-311950103779:1520875] 115311j4 [1,1,1,-2056621399,-35899632747988] 2 [-315117585479744196813362861171657838857224705:157540854432648869933891086247181599444811539:12035083516365239676807508740220613484875]
115311k (1 curve)	1	3+ 7- 17+ 19-	2 3+  4 7-  3 -1 17+ 19-
Curve Equation t Generators 115311k1 [0,-1,1,-96,-331] 1 [-15162:503:2744]
115311l (1 curve)	1	3+ 7- 17- 19+	0 3+  4 7- -5 -5 17- 19+
Curve Equation t Generators 115311l1 [0,-1,1,-6787261,6805632279] 1 [-3391057:2146584038:24389]
115311m (1 curve)	0	3- 7+ 17+ 19+	0 3- -1 7+  0  5 17+ 19+
Curve Equation t 115311m1 [0,1,1,-466831,-55565198] 1
115311n (1 curve)	0	3- 7+ 17+ 19+	0 3- -4 7+  5 -5 17+ 19+
Curve Equation t 115311n1 [0,1,1,-1961518525,33424302276985] 1
115311o (2 curves)	1	3- 7+ 17+ 19-	-1 3-  0 7+  2  0 17+ 19-
Curve Equation t Generators 115311o1 [1,0,0,-3763,-80872] 2 [-43:65:1] 115311o2 [1,0,0,-13878,540189] 2 [-129:498:1]
115311p (1 curve)	1	3- 7+ 17+ 19-	-2 3- -3 7+  2  1 17+ 19-
Curve Equation t Generators 115311p1 [0,1,1,-4142,15860] 1 [79:433:1]
115311q (1 curve)	0	3- 7+ 17- 19-	2 3- -4 7+ -3 -1 17- 19-
Curve Equation t 115311q1 [0,1,1,-27840,-1791835] 1
115311r (2 curves)	1	3- 7- 17+ 19+	1 3-  0 7-  2 -4 17+ 19+
Curve Equation t Generators 115311r1 [1,0,1,-60841,-1741105] 2 [-35:605:1] 115311r2 [1,0,1,-556476,158448127] 2 [77:10734:1]
115311s (1 curve)	1	3- 7- 17+ 19+	-1 3- -4 7- -3  2 17+ 19+
Curve Equation t Generators 115311s1 [1,0,0,45,-54] 1 [3:9:1]
115311t (1 curve)	2	3- 7- 17+ 19-	0 3-  1 7- -6 -3 17+ 19-
Curve Equation t Generators 115311t1 [0,1,1,-1065,-13363] 1 [-21:13:1]&[-150:149:8]
115311u (2 curves)	1	3- 7- 17- 19-	0 3-  0 7-  3  5 17- 19-
Curve Equation t Generators 115311u1 [0,1,1,-5535313,5005154551] 3 [1001:21640:1] 115311u2 [0,1,1,-21453433,-33185201000] 1 [-2452:68428:1]
115311v (1 curve)	1	3- 7- 17- 19-	1 3-  0 7-  3 -2 17- 19-
Curve Equation t Generators 115311v1 [1,0,1,-839696,-296233261] 1 [1197:19750:1]
115311w (1 curve)	1	3- 7- 17- 19-	-2 3-  0 7- -3  1 17- 19-
Curve Equation t Generators 115311w1 [0,1,1,-204708,35483096] 1 [-193:8236:1]

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

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