Cremona's table of elliptic curves

105196 = 2² · 7 · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
105196a (1 curve)	0	2- 7+ 13+ 17+	2-  0  3 7+  2 13+ 17+ -1
Curve Equation t 105196a1 [0,0,0,-168776,26746372] 1
105196b (1 curve)	0	2- 7+ 13+ 17+	2-  2  1 7+  0 13+ 17+ -3
Curve Equation t 105196b1 [0,-1,0,-7612645,-10460327727] 1
105196c (1 curve)	0	2- 7+ 13+ 17+	2- -2  1 7+  4 13+ 17+  5
Curve Equation t 105196c1 [0,1,0,-385,-3048] 1
105196d (1 curve)	1	2- 7+ 13+ 17-	2-  2  3 7+  4 13+ 17-  3
Curve Equation t Generators 105196d1 [0,-1,0,6551,-1985034] 1 [53126200793490:627372086197656:311803677541]
105196e (2 curves)	1	2- 7+ 13- 17+	2- -1  0 7+ -3 13- 17+ -1
Curve Equation t Generators 105196e1 [0,-1,0,-9633,450658] 1 [57:-289:1] 105196e2 [0,-1,0,71287,-3749090] 1 [414:9826:1]
105196f (2 curves)	1	2- 7+ 13- 17+	2- -1  0 7+ -3 13- 17+ -7
Curve Equation t Generators 105196f1 [0,-1,0,-1061593,421380314] 1 [601:289:1] 105196f2 [0,-1,0,-78993,1160826118] 1 [-266:34102:1]
105196g (2 curves)	1	2- 7+ 13- 17+	2-  2  0 7+  0 13- 17+  2
Curve Equation t Generators 105196g1 [0,-1,0,-8212898,9062003753] 1 [1744:6333:1] 105196g2 [0,-1,0,-6542478,12851518565] 1 [-134327069:19984623789:148877]
105196h (2 curves)	1	2- 7+ 13- 17+	2-  2  3 7+  0 13- 17+ -4
Curve Equation t Generators 105196h1 [0,-1,0,-23079789,42684919001] 1 [1715:90246:1] 105196h2 [0,-1,0,-17948509,62161951737] 1 [46571231112:3109773061239:16974593]
105196i (2 curves)	1	2- 7+ 13- 17+	2-  2  3 7+  0 13- 17+  5
Curve Equation t Generators 105196i1 [0,-1,0,-14142889,-21402364518] 1 [2789056827378633858201550992676147780223729941079984067802653271400859:505335060774816816522299658112934258389406857747120977518959394974735953:83822515248539894735822139043370487009745995783036491672694076871] 105196i2 [0,-1,0,-1160051009,-15207320543194] 1 [60105320427067656543133728486431979887583610568502121749914251927600029728836769162456029973752588558892517784882095183311524577977186360653052983763781869106028304002695458371327331720013806093286188420073024530:5157854076029863780287406435617401329864032892806254378763789755084821405392332590895874635320546527477628993654485958723513535413310945212752912355990797281224626267537763827040881031022271685791821406429835777416:1404806696711948889807424536761716947747776567647133103989626689101812716823436414815462303439832698336474822840307778050533819783341301934434806010772876741276362336229114224469333578215847777873791541808709]
105196j (1 curve)	1	2- 7- 13+ 17+	2- -1 -4 7-  3 13+ 17+ -1
Curve Equation t Generators 105196j1 [0,-1,0,-385,-37174] 1 [74:578:1]
105196k (1 curve)	1	2- 7- 13+ 17+	2- -2 -3 7- -4 13+ 17+  3
Curve Equation t Generators 105196k1 [0,1,0,23,-396] 1 [20:92:1]
105196l (1 curve)	0	2- 7- 13+ 17-	2-  2 -1 7- -4 13+ 17-  5
Curve Equation t 105196l1 [0,-1,0,-111361,-14306838] 1
105196m (1 curve)	0	2- 7- 13- 17+	2-  2 -1 7-  4 13- 17+ -1
Curve Equation t 105196m1 [0,-1,0,-1541,43457] 1
105196n (2 curves)	0	2- 7- 13- 17+	2- -2 -2 7-  4 13- 17+ -2
Curve Equation t 105196n1 [0,1,0,-16569,441196] 2 105196n2 [0,1,0,54236,3273396] 2
105196o (1 curve)	0	2- 7- 13- 17+	2- -3  4 7- -1 13- 17+ -1
Curve Equation t 105196o1 [0,0,0,-1861568068,-31171284684395] 1
105196p (2 curves)	1	2- 7- 13- 17-	2- -2  0 7-  0 13- 17-  2
Curve Equation t Generators 105196p1 [0,1,0,-28418,1834465] 3 [62:561:1] 105196p2 [0,1,0,-22638,2607829] 1 [105:-1183:1]
105196q (2 curves)	1	2- 7- 13- 17-	2- -2 -3 7-  0 13- 17- -4
Curve Equation t Generators 105196q1 [0,1,0,-6670059117,209670986697391] 3 [6165:12991706:1] 105196q2 [0,1,0,-5187119197,305370546168879] 1 [1698930:1925896791:125]
105196r (2 curves)	1	2- 7- 13- 17-	2- -2 -3 7-  0 13- 17-  5
Curve Equation t Generators 105196r1 [0,1,0,-48937,-4373544] 3 [287:2303:1] 105196r2 [0,1,0,-4014017,-3096739436] 1 [6356:477708:1]

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