Cremona's table of elliptic curves

109395 = 3² · 5 · 11 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
109395a (1 curve)	2	3+ 5+ 11+ 13+ 17-	-2 3+ 5+ -4 11+ 13+ 17- -2
Curve Equation t Generators 109395a1 [0,0,1,-336933,75277208] 1 [252:-2525:1]&[208:3767:1]
109395b (2 curves)	2	3+ 5+ 11+ 13- 17+	-1 3+ 5+ -2 11+ 13- 17+ -8
Curve Equation t Generators 109395b1 [1,-1,1,-2888,60442] 2 [-37:358:1]&[-20:341:1] 109395b2 [1,-1,1,-2633,71356] 2 [20:152:1]&[-290:2891:8]
109395c (1 curve)	1	3+ 5+ 11- 13- 17+	2 3+ 5+  0 11- 13- 17+ -6
Curve Equation t Generators 109395c1 [0,0,1,-243,-12427] 1 [22728:129533:512]
109395d (1 curve)	2	3+ 5- 11+ 13- 17-	-2 3+ 5-  0 11+ 13- 17- -6
Curve Equation t Generators 109395d1 [0,0,1,-27,460] 1 [8:27:1]&[-46:161:8]
109395e (1 curve)	1	3+ 5- 11- 13+ 17+	2 3+ 5- -4 11- 13+ 17+ -2
Curve Equation t Generators 109395e1 [0,0,1,-37437,-2788045] 1 [28596283560:457105527151:76225024]
109395f (2 curves)	1	3+ 5- 11- 13- 17-	1 3+ 5- -2 11- 13- 17- -8
Curve Equation t Generators 109395f1 [1,-1,0,-25989,-1605952] 2 [308:4266:1] 109395f2 [1,-1,0,-23694,-1902925] 2 [266:3117:1]
109395g (4 curves)	1	3- 5+ 11+ 13+ 17-	-1 3- 5+  0 11+ 13+ 17-  0
Curve Equation t Generators 109395g1 [1,-1,1,-2228,-36754] 2 [-24:61:1] 109395g2 [1,-1,1,-7673,218072] 4 [-48:712:1] 109395g3 [1,-1,1,14602,1233812] 2 [7:1152:1] 109395g4 [1,-1,1,-117068,15445856] 2 [205:72:1]
109395h (4 curves)	1	3- 5+ 11+ 13+ 17-	-1 3- 5+ -4 11+ 13+ 17-  4
Curve Equation t Generators 109395h1 [1,-1,1,-937962698,-11056249406928] 2 [5295220884:4646231735721:6859] 109395h2 [1,-1,1,-973687343,-10168520558394] 4 [3087122:5422315236:1] 109395h3 [1,-1,1,1587140212,-54636778885458] 2 [5145692250097131:391573050738029166:198461344537] 109395h4 [1,-1,1,-4106109218,91113955379106] 2 [-7678:11057706:1]
109395i (1 curve)	1	3- 5+ 11+ 13+ 17-	-2 3- 5+ -2 11+ 13+ 17- -4
Curve Equation t Generators 109395i1 [0,0,1,-965793,365532498] 1 [579:665:1]
109395j (2 curves)	0	3- 5+ 11+ 13- 17-	1 3- 5+  0 11+ 13- 17-  6
Curve Equation t 109395j1 [1,-1,0,-405,11200] 2 109395j2 [1,-1,0,-10350,407011] 2
109395k (1 curve)	2	3- 5+ 11+ 13- 17-	1 3- 5+ -5 11+ 13- 17- -6
Curve Equation t Generators 109395k1 [1,-1,0,-6435,521950] 1 [-90:650:1]&[398:7604:1]
109395l (1 curve)	0	3- 5+ 11+ 13- 17-	-1 3- 5+  1 11+ 13- 17-  3
Curve Equation t 109395l1 [1,-1,1,97,-638] 1
109395m (1 curve)	0	3- 5+ 11+ 13- 17-	2 3- 5+  1 11+ 13- 17- -6
Curve Equation t 109395m1 [0,0,1,58317,9934263] 1
109395n (1 curve)	2	3- 5+ 11+ 13- 17-	-2 3- 5+ -2 11+ 13- 17-  0
Curve Equation t Generators 109395n1 [0,0,1,-31593,2201278] 1 [-196:929:1]&[-53:1930:1]
109395o (4 curves)	0	3- 5+ 11- 13+ 17-	-1 3- 5+  4 11- 13+ 17- -4
Curve Equation t 109395o1 [1,-1,1,-42773,4550172] 2 109395o2 [1,-1,1,-745898,248112672] 4 109395o3 [1,-1,1,-807773,204577422] 2 109395o4 [1,-1,1,-11934023,15871210422] 2
109395p (1 curve)	0	3- 5+ 11- 13- 17+	0 3- 5+ -5 11- 13- 17+  2
Curve Equation t 109395p1 [0,0,1,53521401192,30350757408938149] 1
109395q (6 curves)	0	3- 5+ 11- 13- 17+	1 3- 5+  0 11- 13- 17+  4
Curve Equation t 109395q1 [1,-1,0,-109395,-95139464] 2 109395q2 [1,-1,0,-3867840,-2913221525] 4 109395q3 [1,-1,0,-6065685,774322816] 4 109395q4 [1,-1,0,-61805115,-187003119110] 2 109395q5 [1,-1,0,24017940,6147258241] 2 109395q6 [1,-1,0,-71314830,231377851075] 2
109395r (4 curves)	0	3- 5+ 11- 13- 17+	1 3- 5+ -4 11- 13- 17+  0
Curve Equation t 109395r1 [1,-1,0,-225630,-41195489] 2 109395r2 [1,-1,0,-225675,-41178200] 4 109395r3 [1,-1,0,-176670,-59594279] 2 109395r4 [1,-1,0,-275400,-21656165] 2
109395s (1 curve)	2	3- 5+ 11- 13- 17+	-1 3- 5+ -1 11- 13- 17+ -2
Curve Equation t Generators 109395s1 [1,-1,1,-1330988,591555156] 1 [800:-6588:1]&[-1114:26841:1]
109395t (1 curve)	2	3- 5- 11+ 13+ 17-	-2 3- 5- -2 11+ 13+ 17- -8
Curve Equation t Generators 109395t1 [0,0,1,588363,53954140] 1 [1603:-71528:1]&[482:75731:8]
109395u (4 curves)	0	3- 5- 11+ 13- 17+	1 3- 5-  0 11+ 13- 17+  0
Curve Equation t 109395u1 [1,-1,0,1071,14688] 2 109395u2 [1,-1,0,-6534,147015] 4 109395u3 [1,-1,0,-38709,-2806650] 2 109395u4 [1,-1,0,-96039,11478348] 2
109395v (1 curve)	1	3- 5- 11+ 13- 17-	0 3- 5- -3 11+ 13- 17- -6
Curve Equation t Generators 109395v1 [0,0,1,6738,-73328] 1 [22:-293:1]
109395w (4 curves)	1	3- 5- 11+ 13- 17-	1 3- 5-  0 11+ 13- 17-  0
Curve Equation t Generators 109395w1 [1,-1,0,-628929,-191812640] 2 [25212:145874:27] 109395w2 [1,-1,0,-661734,-170666537] 4 [2642:127199:1] 109395w3 [1,-1,0,1312641,-995560412] 2 [6881098:365329231:2744] 109395w4 [1,-1,0,-3160989,2007184270] 4 [-10322:507091:8]
109395x (2 curves)	1	3- 5- 11+ 13- 17-	-1 3- 5- -2 11+ 13- 17-  6
Curve Equation t Generators 109395x1 [1,-1,1,-4817,-124784] 2 [-44:44:1] 109395x2 [1,-1,1,628,-394856] 2 [152:-1864:1]
109395y (2 curves)	0	3- 5- 11- 13+ 17+	-1 3- 5-  0 11- 13+ 17+  2
Curve Equation t 109395y1 [1,-1,1,38938,-43447084] 2 109395y2 [1,-1,1,-1641767,-783629566] 2
109395z (1 curve)	0	3- 5- 11- 13+ 17+	-1 3- 5-  3 11- 13+ 17+  2
Curve Equation t 109395z1 [1,-1,1,-31712,2258624] 1
109395ba (1 curve)	0	3- 5- 11- 13+ 17+	-1 3- 5- -3 11- 13+ 17+ -7
Curve Equation t 109395ba1 [1,-1,1,-18201992,-29894335234] 1
109395bb (1 curve)	0	3- 5- 11- 13+ 17+	-1 3- 5-  5 11- 13+ 17+  7
Curve Equation t 109395bb1 [1,-1,1,-101072,12396574] 1
109395bc (1 curve)	0	3- 5- 11- 13+ 17+	2 3- 5- -1 11- 13+ 17+ -2
Curve Equation t 109395bc1 [0,0,1,-207,-19663] 1
109395bd (2 curves)	1	3- 5- 11- 13+ 17-	-1 3- 5- -2 11- 13+ 17-  4
Curve Equation t Generators 109395bd1 [1,-1,1,-2012,193286] 2 [-14:474:1] 109395bd2 [1,-1,1,-63887,6207536] 2 [126:319:1]
109395be (1 curve)	1	3- 5- 11- 13+ 17-	-1 3- 5-  4 11- 13+ 17- -4
Curve Equation t Generators 109395be1 [1,-1,1,-2012,-35976] 1 [92:696:1]
109395bf (4 curves)	1	3- 5- 11- 13- 17+	-1 3- 5-  0 11- 13- 17+  0
Curve Equation t Generators 109395bf1 [1,-1,1,-6962,-471576] 4 [119:552:1] 109395bf2 [1,-1,1,-143087,-20781426] 4 [657:12651:1] 109395bf3 [1,-1,1,-175262,-10717086] 2 [42516:802527:64] 109395bf4 [1,-1,1,-2288912,-1332309666] 2 [20862:806479:8]
109395bg (1 curve)	1	3- 5- 11- 13- 17+	2 3- 5-  2 11- 13- 17+  4
Curve Equation t Generators 109395bg1 [0,0,1,-6263247,6912401917] 1 [186148:7381093:64]

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

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