Cremona's table of elliptic curves

84100 = 2² · 5² · 29²

Class	r	Atkin-Lehner	Eigenvalues
84100a (2 curves)	0	2- 5+ 29+	2-  0 5+  0  2  2  0  2
Curve Equation t 84100a1 [0,0,0,-168200,-21340375] 2 84100a2 [0,0,0,357425,-128042250] 2
84100b (2 curves)	0	2- 5+ 29+	2-  0 5+  2  4  6 -4 -4
Curve Equation t 84100b1 [0,0,0,-672800,-94507375] 2 84100b2 [0,0,0,2375825,-713378250] 2
84100c (2 curves)	0	2- 5+ 29+	2-  1 5+  4 -3 -5 -6  4
Curve Equation t 84100c1 [0,1,0,-91108,16454788] 1 84100c2 [0,1,0,749892,-267803212] 1
84100d (2 curves)	0	2- 5+ 29+	2-  2 5+ -4  6 -2  2  6
Curve Equation t 84100d1 [0,-1,0,-196233,33374462] 2 84100d2 [0,-1,0,-91108,68906712] 2
84100e (4 curves)	2	2- 5+ 29+	2- -2 5+ -2  0 -2 -6  4
Curve Equation t Generators 84100e1 [0,1,0,-28033,1232688] 2 [-177:825:1]&[-68:1682:1] 84100e2 [0,1,0,77092,8381188] 2 [-68:1682:1]&[28:3250:1] 84100e3 [0,1,0,-869033,-312039812] 2 [8794:63075:8]&[113194:13434975:8] 84100e4 [0,1,0,-763908,-390252812] 2 [2107:85782:1]&[5239:373404:1]
84100f (1 curve)	0	2- 5+ 29+	2- -3 5+ -4  1  3  2 -4
Curve Equation t 84100f1 [0,0,0,-101571775,-394010392250] 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