Cremona's table of elliptic curves

21712 = 2⁴ · 23 · 59

Class	r	Atkin-Lehner	Eigenvalues
21712a (1 curve)	1	2+ 23+ 59+	2+  1  2  2 -4  5  2  0
Curve Equation t Generators 21712a1 [0,1,0,168,-877] 1 [1082:12685:8]
21712b (2 curves)	0	2+ 23+ 59-	2+  0 -4  0 -2  6  6 -2
Curve Equation t 21712b1 [0,0,0,-5227,-608790] 2 21712b2 [0,0,0,-144467,-21077070] 2
21712c (1 curve)	0	2+ 23- 59+	2+  1  2  2 -6  1  6  6
Curve Equation t 21712c1 [0,1,0,-292,-2393] 1
21712d (1 curve)	1	2+ 23- 59-	2+  1  0  0  6 -3  0  8
Curve Equation t Generators 21712d1 [0,1,0,-28,-89] 1 [21:95:1]
21712e (1 curve)	0	2- 23+ 59+	2-  0 -2  1 -5  1  1  2
Curve Equation t 21712e1 [0,0,0,-554051,-183951294] 1
21712f (2 curves)	1	2- 23+ 59-	2-  0 -2 -2  4 -2 -2  2
Curve Equation t Generators 21712f1 [0,0,0,-4381411,-3529975326] 2 [27027047183:181524069024:11089567] 21712f2 [0,0,0,-70102691,-225917642590] 2 [195951199653363:-158506469471111914:299418309]
21712g (1 curve)	1	2- 23+ 59-	2- -1  1  3  0 -4 -2  5
Curve Equation t Generators 21712g1 [0,-1,0,800,-256] 1 [16:128:1]
21712h (1 curve)	1	2- 23+ 59-	2- -1 -2  0  0  5  4  8
Curve Equation t Generators 21712h1 [0,-1,0,-134,-557] 1 [101:1003:1]
21712i (1 curve)	1	2- 23- 59+	2-  1  3 -1  2  4 -6  1
Curve Equation t Generators 21712i1 [0,1,0,151,374] 1 [50:368:1]
21712j (1 curve)	2	2- 23- 59-	2- -1 -3 -1  0  4 -2 -7
Curve Equation t Generators 21712j1 [0,-1,0,-832,9536] 1 [-16:136:1]&[10:46:1]

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