Cremona's table of elliptic curves

58344 = 2³ · 3 · 11 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
58344a (1 curve)	1	2+ 3+ 11- 13- 17+	2+ 3+  2 -3 11- 13- 17+  0
Curve Equation t Generators 58344a1 [0,-1,0,-177112,42771772] 1 [18:6292:1]
58344b (4 curves)	0	2+ 3+ 11- 13- 17-	2+ 3+  2  0 11- 13- 17-  0
Curve Equation t 58344b1 [0,-1,0,-8843367,-7126657668] 4 58344b2 [0,-1,0,-129531212,-567311359020] 4 58344b3 [0,-1,0,-117641752,-675681409028] 2 58344b4 [0,-1,0,-2072426192,-36312693201060] 2
58344c (2 curves)	0	2+ 3- 11+ 13+ 17+	2+ 3- -4 -2 11+ 13+ 17+  4
Curve Equation t 58344c1 [0,1,0,-47610480,-77268656016] 2 58344c2 [0,1,0,145461880,-545276056656] 2
58344d (2 curves)	1	2+ 3- 11+ 13- 17+	2+ 3-  2 -2 11+ 13- 17+ -4
Curve Equation t Generators 58344d1 [0,1,0,-507,-5070] 2 [110682:1352260:729] 58344d2 [0,1,0,-8372,-297648] 2 [1242:11781:8]
58344e (1 curve)	1	2+ 3- 11- 13- 17-	2+ 3-  2  1 11- 13- 17- -6
Curve Equation t Generators 58344e1 [0,1,0,504543,-3913533] 1 [39:3978:1]
58344f (4 curves)	1	2- 3+ 11+ 13+ 17-	2- 3+ -2 -4 11+ 13+ 17-  8
Curve Equation t Generators 58344f1 [0,-1,0,-2244,38148] 4 [-34:272:1] 58344f2 [0,-1,0,-8024,-232356] 4 [-51:204:1] 58344f3 [0,-1,0,14416,-1318452] 2 [213:3372:1] 58344f4 [0,-1,0,-122944,-16550996] 2 [-5433:100:27]
58344g (2 curves)	1	2- 3+ 11+ 13- 17+	2- 3+  2  2 11+ 13- 17+ -4
Curve Equation t Generators 58344g1 [0,-1,0,-507,-4212] 2 [56:374:1] 58344g2 [0,-1,0,-252,-8700] 2 [77:650:1]
58344h (1 curve)	0	2- 3+ 11+ 13- 17-	2- 3+  2  5 11+ 13- 17- -8
Curve Equation t 58344h1 [0,-1,0,-25552,1580668] 1
58344i (2 curves)	2	2- 3- 11+ 13- 17+	2- 3- -2 -2 11+ 13- 17+  0
Curve Equation t Generators 58344i1 [0,1,0,-76219,12738206] 2 [-169:4563:1]&[-130:4524:1] 58344i2 [0,1,0,-1405404,640645200] 2 [-702:35802:1]&[828:-6732:1]

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

Part of Computational Number Theory
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