Cremona's table of elliptic curves

117249 = 3 · 11² · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
117249a (1 curve)	1	3+ 11- 17+ 19-	0 3+  0 -1 11-  4 17+ 19-
Curve Equation t Generators 117249a1 [0,-1,1,2017,-36400] 1 [26:181:1]
117249b (1 curve)	1	3+ 11- 17+ 19-	-1 3+  0  4 11- -7 17+ 19-
Curve Equation t Generators 117249b1 [1,1,1,-6718,-238468] 1 [1370:49953:1]
117249c (1 curve)	1	3+ 11- 17+ 19-	-1 3+ -2 -1 11-  6 17+ 19-
Curve Equation t Generators 117249c1 [1,1,1,-3958699,-3033663214] 1 [175600318:27922202848:6859]
117249d (1 curve)	1	3+ 11- 17+ 19-	-1 3+  3  1 11-  2 17+ 19-
Curve Equation t Generators 117249d1 [1,1,1,18854036,182611348118] 1 [12294432:1671762626:729]
117249e (1 curve)	1	3+ 11- 17+ 19-	2 3+  4  2 11-  0 17+ 19-
Curve Equation t Generators 117249e1 [0,-1,1,-5523206,5520740939] 1 [1205090:24766627:1000]
117249f (1 curve)	1	3+ 11- 17- 19+	0 3+ -2  3 11-  1 17- 19+
Curve Equation t Generators 117249f1 [0,-1,1,4114081,3170815790] 1 [3209129731292324:280973357955627826:2992832108531]
117249g (1 curve)	1	3+ 11- 17- 19+	1 3+ -2  1 11- -6 17- 19+
Curve Equation t Generators 117249g1 [1,1,0,-32716,2264365] 1 [108:19:1]
117249h (1 curve)	1	3+ 11- 17- 19+	-2 3+  4 -2 11-  0 17- 19+
Curve Equation t Generators 117249h1 [0,-1,1,-45646,-4131216] 1 [1013330:91199336:125]
117249i (1 curve)	1	3- 11- 17+ 19+	0 3-  0  0 11-  2 17+ 19+
Curve Equation t Generators 117249i1 [0,1,1,37,17] 1 [1:7:1]
117249j (1 curve)	1	3- 11- 17+ 19+	0 3-  0  3 11- -4 17+ 19+
Curve Equation t Generators 117249j1 [0,1,1,-1351973,-605685184] 1 [71040:3201344:27]
117249k (1 curve)	1	3- 11- 17+ 19+	1 3-  2  3 11-  2 17+ 19+
Curve Equation t Generators 117249k1 [1,0,1,-7896762745,291872033263721] 1 [2029779435656294368464859815125001503439365351262850240310718522016624412476689177284538661941328568637451277348184114908381852982543172939960128701304992732023157773859859235693357189717313260634994262562635398613331736927607886070541764640171575404302583169639658990988417874933888279536291442764004687550072749468903354953602653110683906204136677897549437325225147770222669202300845902115:1498030434231211427317348370198812770209820535472814231473934006066730195570039629970250272977163857495255446225783838775176792574075808216298011627007437043450181400206364403973444276769946678216889285531458500942403286281781019379746710331739880159016028646973306092463207225237834174073501583990338386583003200437975028429617880828038309996384291455074408723701014528128692140942086331948889:3633550077187278147780257960406458851112751999733869005687699293250729438287929717763546641527347264844069646094129120084172045810112504899402345154080375551970197315203066255943262590311463586854366422431418017533148308227907875161306409281345986663018425928709430416849938269590544344838107268966602318287012791708410929405703513207127750511028468891485818839665006602159621122869237]
117249l (1 curve)	1	3- 11- 17+ 19+	1 3-  3  3 11-  2 17+ 19+
Curve Equation t Generators 117249l1 [1,0,1,-33121817,75360283337] 1 [-4775595:514456793:1331]
117249m (1 curve)	1	3- 11- 17+ 19+	1 3- -3  3 11-  2 17+ 19+
Curve Equation t Generators 117249m1 [1,0,1,-80,515] 1 [-3:28:1]
117249n (4 curves)	1	3- 11- 17+ 19+	-1 3- -2  0 11- -2 17+ 19+
Curve Equation t Generators 117249n1 [1,0,0,-80649,8808768] 2 [228:1398:1] 117249n2 [1,0,0,-81254,8669739] 4 [-86:3919:1] 117249n3 [1,0,0,22201,29257284] 2 [38:43331:8] 117249n4 [1,0,0,-194389,-20813242] 2 [-298:3416:1]
117249o (1 curve)	1	3- 11- 17+ 19+	-1 3-  3  0 11-  2 17+ 19+
Curve Equation t Generators 117249o1 [1,0,0,1026,17997] 1 [543537:4844978:19683]
117249p (1 curve)	1	3- 11- 17+ 19+	-1 3-  3  1 11-  6 17+ 19+
Curve Equation t Generators 117249p1 [1,0,0,-930674,-473232363] 1 [30132067:8915327653:343]
117249q (1 curve)	1	3- 11- 17+ 19+	-1 3-  4  0 11-  1 17+ 19+
Curve Equation t Generators 117249q1 [1,0,0,-943016,-352552287] 1 [35631680:19005977069:125]
117249r (1 curve)	1	3- 11- 17+ 19+	-2 3-  2  3 11-  2 17+ 19+
Curve Equation t Generators 117249r1 [0,1,1,-259222,-74267462] 1 [1094:-30866:1]
117249s (1 curve)	0	3- 11- 17+ 19-	2 3- -2  3 11-  6 17+ 19-
Curve Equation t 117249s1 [0,1,1,-323594,-261899137] 1
117249t (1 curve)	0	3- 11- 17+ 19-	2 3- -2 -3 11-  3 17+ 19-
Curve Equation t 117249t1 [0,1,1,-18674,1572797] 1
117249u (1 curve)	0	3- 11- 17- 19+	0 3-  2  1 11- -3 17- 19+
Curve Equation t 117249u1 [0,1,1,323,6331] 1
117249v (1 curve)	1	3- 11- 17- 19-	0 3-  0  0 11- -2 17- 19-
Curve Equation t Generators 117249v1 [0,1,1,4437,-5164] 1 [12:223:1]
117249w (1 curve)	1	3- 11- 17- 19-	0 3- -2 -1 11- -1 17- 19-
Curve Equation t Generators 117249w1 [0,1,1,-9172929,12743880122] 1 [1206:-58625:1]
117249x (1 curve)	1	3- 11- 17- 19-	1 3-  3  0 11- -2 17- 19-
Curve Equation t Generators 117249x1 [1,0,1,8,-13] 1 [21435:46778:3375]
117249y (1 curve)	1	3- 11- 17- 19-	1 3-  3 -1 11- -6 17- 19-
Curve Equation t Generators 117249y1 [1,0,1,-7692,354847] 1 [605:14436:1]
117249z (1 curve)	1	3- 11- 17- 19-	1 3- -3 -3 11- -2 17- 19-
Curve Equation t Generators 117249z1 [1,0,1,-194450,-33024895] 1 [945:24574:1]
117249ba (1 curve)	1	3- 11- 17- 19-	-1 3-  1  3 11-  6 17- 19-
Curve Equation t Generators 117249ba1 [1,0,0,-120700,-47915911] 1 [49734741:3611710129:9261]
117249bb (2 curves)	1	3- 11- 17- 19-	-1 3-  2 -2 11- -2 17- 19-
Curve Equation t Generators 117249bb1 [1,0,0,-1152,-153] 2 [-9:102:1] 117249bb2 [1,0,0,-12647,544710] 2 [-23:919:1]
117249bc (1 curve)	1	3- 11- 17- 19-	-1 3-  2 -3 11- -2 17- 19-
Curve Equation t Generators 117249bc1 [1,0,0,-65262502,-219293711515] 1 [9589:186583:1]
117249bd (1 curve)	1	3- 11- 17- 19-	-1 3-  3 -3 11- -2 17- 19-
Curve Equation t Generators 117249bd1 [1,0,0,-4007739799,-100308544861678] 1 [75529:5240236:1]
117249be (1 curve)	1	3- 11- 17- 19-	-1 3- -3  3 11- -2 17- 19-
Curve Equation t Generators 117249be1 [1,0,0,-6139482,-164798973459] 1 [12297:1266348:1]
117249bf (1 curve)	1	3- 11- 17- 19-	-1 3- -3 -3 11- -2 17- 19-
Curve Equation t Generators 117249bf1 [1,0,0,-9622,-695419] 1 [131:479:1]

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

Part of Computational Number Theory
Back to Tables and computations