Cremona's table of elliptic curves

115056 = 2⁴ · 3² · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
115056a (1 curve)	1	2+ 3+ 17+ 47+	2+ 3+  1 -1 -5 -6 17+  0
Curve Equation t Generators 115056a1 [0,0,0,-6372,195372] 1 [81:459:1]
115056b (1 curve)	1	2+ 3+ 17- 47-	2+ 3+ -1 -1  5 -6 17-  0
Curve Equation t Generators 115056b1 [0,0,0,-708,-7236] 1 [-15:3:1]
115056c (2 curves)	2	2+ 3- 17+ 47+	2+ 3-  0  0  0 -4 17+ -4
Curve Equation t Generators 115056c1 [0,0,0,-10875,-455686] 2 [145:1008:1]&[155:1258:1] 115056c2 [0,0,0,-176115,-28447342] 2 [487:1134:1]&[1127:34706:1]
115056d (2 curves)	0	2+ 3- 17+ 47+	2+ 3-  0  0  2 -2 17+  4
Curve Equation t 115056d1 [0,0,0,-1695,-34594] 2 115056d2 [0,0,0,-29235,-1923838] 2
115056e (2 curves)	0	2+ 3- 17+ 47+	2+ 3-  4 -4  6  6 17+  0
Curve Equation t 115056e1 [0,0,0,-63,2430] 2 115056e2 [0,0,0,-3123,66690] 2
115056f (2 curves)	0	2+ 3- 17+ 47+	2+ 3- -4 -4  0  2 17+ -6
Curve Equation t 115056f1 [0,0,0,217833,-34634410] 2 115056f2 [0,0,0,-1186707,-319756030] 2
115056g (4 curves)	1	2+ 3- 17+ 47-	2+ 3-  2  0  0 -2 17+  8
Curve Equation t Generators 115056g1 [0,0,0,-7194,-234857] 2 [11964968015:-156009848688:57066625] 115056g2 [0,0,0,-7239,-231770] 4 [170863:1300320:1331] 115056g3 [0,0,0,1221,-741062] 2 [449:9504:1] 115056g4 [0,0,0,-16419,475090] 2 [714:6580:27]
115056h (2 curves)	1	2+ 3- 17+ 47-	2+ 3- -2  0 -6 -2 17+ -2
Curve Equation t Generators 115056h1 [0,0,0,-49431,-4270826] 2 [1025:31968:1] 115056h2 [0,0,0,-793011,-271810910] 2 [623944:12240747:512]
115056i (2 curves)	1	2+ 3- 17+ 47-	2+ 3- -4 -4  2  2 17+  4
Curve Equation t Generators 115056i1 [0,0,0,-3567,73550] 2 [-22:376:1] 115056i2 [0,0,0,4893,369650] 2 [1:612:1]
115056j (2 curves)	1	2+ 3- 17- 47+	2+ 3-  2 -4  0 -4 17- -2
Curve Equation t Generators 115056j1 [0,0,0,861,10802] 2 [1:108:1] 115056j2 [0,0,0,-5259,105050] 2 [-25:470:1]
115056k (2 curves)	0	2+ 3- 17- 47-	2+ 3-  2  2  2  6 17-  0
Curve Equation t 115056k1 [0,0,0,-1179,13338] 2 115056k2 [0,0,0,-18099,937170] 2
115056l (1 curve)	0	2- 3+ 17+ 47+	2- 3+ -1  5  3  2 17+ -4
Curve Equation t 115056l1 [0,0,0,-1008,-12176] 1
115056m (1 curve)	0	2- 3+ 17- 47-	2- 3+  1  5 -3  2 17- -4
Curve Equation t 115056m1 [0,0,0,-9072,328752] 1
115056n (1 curve)	1	2- 3- 17+ 47+	2- 3-  1 -3  1 -6 17+  2
Curve Equation t Generators 115056n1 [0,0,0,-252192,48575792] 1 [1177:37179:1]
115056o (1 curve)	1	2- 3- 17+ 47+	2- 3- -1  3  5 -2 17+  2
Curve Equation t Generators 115056o1 [0,0,0,-768,7036] 1 [50:306:1]
115056p (6 curves)	1	2- 3- 17+ 47+	2- 3-  2  0 -4 -2 17+ -4
Curve Equation t Generators 115056p1 [0,0,0,154941,5715029698] 2 [2355595:323575722:125] 115056p2 [0,0,0,-47030979,121915076290] 4 [404570984430905:9613679856814080:79340706073] 115056p3 [0,0,0,-100299459,-205100122430] 4 [-338615289757451921908737228511:-23775081190332256752502906074240:55993201188043031426347777] 115056p4 [0,0,0,-748737219,7885733256898] 2 [81307552579139154658263:105292986430878840489970:5115984015775033673] 115056p5 [0,0,0,332311101,-1503018324542] 2 [225064818549782036146612308067098125563107552954215:39593162655422266988069227065169810990498820400952434:13968321822440696132605659141132615329031474625] 115056p6 [0,0,0,-1385205699,-19836154638398] 2 [-100795070993492780649893247486147332146543917451137:-215287157553250022996117987695048897014610145122270:4754654327407375794260588671197033414064501537]
115056q (2 curves)	1	2- 3- 17+ 47+	2- 3- -2  0 -2  6 17+  2
Curve Equation t Generators 115056q1 [0,0,0,-156531,-23909326] 2 [1807:74790:1] 115056q2 [0,0,0,-2506611,-1527490510] 2 [269395:6937742:125]
115056r (4 curves)	1	2- 3- 17+ 47+	2- 3- -2  4 -4 -2 17+ -4
Curve Equation t Generators 115056r1 [0,0,0,1629,27810] 2 [34:350:1] 115056r2 [0,0,0,-9891,269730] 4 [-17:658:1] 115056r3 [0,0,0,-58851,-5282334] 2 [279:126:1] 115056r4 [0,0,0,-145251,21304674] 2 [271:1358:1]
115056s (2 curves)	1	2- 3- 17+ 47+	2- 3- -4  0 -4  4 17+ -4
Curve Equation t Generators 115056s1 [0,0,0,233133,-5843950] 2 [178:6426:1] 115056s2 [0,0,0,-941907,-46970350] 2 [1714:58086:1]
115056t (2 curves)	1	2- 3- 17+ 47+	2- 3- -4  2  0  2 17+ -4
Curve Equation t Generators 115056t1 [0,0,0,-2307,39490] 2 [17:72:1] 115056t2 [0,0,0,-36147,2645170] 2 [111:22:1]
115056u (2 curves)	0	2- 3- 17+ 47-	2- 3-  0  0 -2  2 17+  0
Curve Equation t 115056u1 [0,0,0,-130395,-18104758] 2 115056u2 [0,0,0,-96555,-27722086] 2
115056v (2 curves)	0	2- 3- 17+ 47-	2- 3-  0  2  0 -6 17+  4
Curve Equation t 115056v1 [0,0,0,-16995,807586] 2 115056v2 [0,0,0,-50835,-3408878] 2
115056w (2 curves)	0	2- 3- 17+ 47-	2- 3-  0  4 -4  2 17+ -2
Curve Equation t 115056w1 [0,0,0,-48107955,-128433333134] 2 115056w2 [0,0,0,-769729395,-8219685891278] 2
115056x (2 curves)	0	2- 3- 17+ 47-	2- 3-  0 -4  2 -6 17+  0
Curve Equation t 115056x1 [0,0,0,-28155,-528086] 2 115056x2 [0,0,0,107205,-4128662] 2
115056y (1 curve)	2	2- 3- 17+ 47-	2- 3- -3 -2 -1  5 17+  1
Curve Equation t Generators 115056y1 [0,0,0,456,5884] 1 [-10:18:1]&[6:-94:1]
115056z (2 curves)	0	2- 3- 17- 47+	2- 3-  0  0 -6  0 17-  6
Curve Equation t 115056z1 [0,0,0,9645,6268178] 2 115056z2 [0,0,0,-456915,115349906] 2
115056ba (2 curves)	0	2- 3- 17- 47+	2- 3-  0 -4 -2  6 17-  0
Curve Equation t 115056ba1 [0,0,0,-114195,-14844206] 2 115056ba2 [0,0,0,-137235,-8425262] 2
115056bb (2 curves)	0	2- 3- 17- 47+	2- 3-  2  0  4  4 17-  6
Curve Equation t 115056bb1 [0,0,0,-5259,275002] 2 115056bb2 [0,0,0,-103179,12750010] 2
115056bc (1 curve)	0	2- 3- 17- 47+	2- 3-  3 -1  1 -6 17- -6
Curve Equation t 115056bc1 [0,0,0,-158736,-24339908] 1
115056bd (1 curve)	0	2- 3- 17- 47+	2- 3- -3 -3 -3  6 17- -6
Curve Equation t 115056bd1 [0,0,0,-1769183904,-26261921514256] 1
115056be (2 curves)	0	2- 3- 17- 47+	2- 3- -4  0 -2  4 17- -6
Curve Equation t 115056be1 [0,0,0,-1949907,-1122416750] 2 115056be2 [0,0,0,-31809747,-69053552750] 2
115056bf (2 curves)	1	2- 3- 17- 47-	2- 3- -2 -2 -6 -2 17-  0
Curve Equation t Generators 115056bf1 [0,0,0,-1266051,-542604926] 2 [-609:1598:1] 115056bf2 [0,0,0,-2348931,523165570] 2 [2273:-83232:1]
115056bg (2 curves)	1	2- 3- 17- 47-	2- 3-  3  1  3  2 17- -2
Curve Equation t Generators 115056bg1 [0,0,0,-34176,560432] 1 [-167:1269:1] 115056bg2 [0,0,0,-1658496,-822076432] 1 [-743:117:1]
115056bh (1 curve)	1	2- 3- 17- 47-	2- 3-  3  2  3 -3 17- -5
Curve Equation t Generators 115056bh1 [0,0,0,-525936,151752688] 1 [14626:582471:8]

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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