Cremona's table of elliptic curves

116365 = 5 · 17 · 37²

Class	r	Atkin-Lehner	Eigenvalues
116365a (2 curves)	1	5+ 17+ 37+	0  1 5+ -1 -3 -2 17+ -2
Curve Equation t Generators 116365a1 [0,1,1,-35916171,-82358487089] 1 [-235292:171093:64] 116365a2 [0,1,1,-2904313421,-60244903799564] 1 [-28573585680564:883899271:918330048]
116365b (4 curves)	1	5+ 17+ 37+	1  0 5+ -4  4  2 17+  8
Curve Equation t Generators 116365b1 [1,-1,0,-38245325,-89968397000] 2 [-164634647827424755050994562659243220822925442430870267371944:478514352774027733508288390148773155089633465548447102347592:50491288232593750824494323058346837871034837233917106033] 116365b2 [1,-1,0,-609946570,-5797947967329] 4 [-760533945359095889078277739319150671600284167458159366167713611277568828387782298744400138356405677108271776077060570:355733025987616219664331712445062787609157330471957397739688579508658708493047649308920043149240807805444807476980347:53323355055059552487586468084773650032119436147333376515750840855114157562167054563927195451804214823521229753000] 116365b3 [1,-1,0,-607968365,-5837425421950] 2 [37202119990988999546020886165600724497550785858051976986051082:7522560794020645960889448087289441163708136784630721543551013554:685442651311628513244314771242960772354463765487948319391] 116365b4 [1,-1,0,-9759144695,-371076023428704] 2 [-1434993079165277922002364321844886915482630868310382026647908518680773746633232106227586864127562829014023563951913656602769235853317536897639757631272573160112975273291832042109777431772619789769211843999226405039098197489284126186312370:717494345125505463078933518584979381709672519992421131374693772250057909052394202021279709117628447993604526014287989862477714293245289390118614603235030857573363742212220244153703597609971459770316399683896224477328679151627398106590127:25159757905425128543038151477517400572589283154007657379111473605868835951761210989716656398138307381295867671131018681770316468424913295337965845704534268129592011249449983243530739952598078128550653240239562772913994653920743973000]
116365c (1 curve)	2	5+ 17- 37+	2  0 5+ -1 -2 -2 17-  1
Curve Equation t Generators 116365c1 [0,0,1,-50653,-1405621] 1 [2738:36959:8]&[-294384:5589583:4096]
116365d (1 curve)	0	5+ 17- 37+	2 -1 5+ -3 -3  4 17-  2
Curve Equation t 116365d1 [0,-1,1,-68906,-2939763] 1
116365e (2 curves)	0	5- 17+ 37+	-1  2 5- -2  2 -2 17+  0
Curve Equation t 116365e1 [1,1,1,-11665,-487178] 2 116365e2 [1,1,1,-4820,-1045730] 2
116365f (1 curve)	2	5- 17+ 37+	-2  0 5- -1 -2  2 17+ -1
Curve Equation t Generators 116365f1 [0,0,1,-37,-28] 1 [-4:7:1]&[-3:7:1]

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