Cremona's table of elliptic curves

20910 = 2 · 3 · 5 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
20910a (1 curve)	1	2+ 3+ 5+ 17+ 41+	2+ 3+ 5+  1 -6 -2 17+  7
Curve Equation t Generators 20910a1 [1,1,0,-43,163] 1 [3:7:1]
20910b (2 curves)	1	2+ 3+ 5+ 17+ 41+	2+ 3+ 5+  4  0 -2 17+  2
Curve Equation t Generators 20910b1 [1,1,0,-8103,-268443] 2 [-46:121:1] 20910b2 [1,1,0,6477,-1111167] 2 [93:507:1]
20910c (1 curve)	2	2+ 3+ 5- 17+ 41+	2+ 3+ 5- -1 -3 -3 17+  0
Curve Equation t Generators 20910c1 [1,1,0,-62,-216] 1 [-5:3:1]&[10:12:1]
20910d (2 curves)	2	2+ 3+ 5- 17+ 41+	2+ 3+ 5- -4  0 -6 17+ -6
Curve Equation t Generators 20910d1 [1,1,0,-9027,326349] 2 [198:-2619:1]&[-27:756:1] 20910d2 [1,1,0,-8307,381501] 2 [-105:384:1]&[-78:789:1]
20910e (4 curves)	0	2+ 3+ 5- 17- 41-	2+ 3+ 5-  0  0 -2 17-  8
Curve Equation t 20910e1 [1,1,0,133,-1059] 2 20910e2 [1,1,0,-1147,-13091] 4 20910e3 [1,1,0,-17547,-901971] 2 20910e4 [1,1,0,-5227,131341] 4
20910f (1 curve)	0	2+ 3+ 5- 17- 41-	2+ 3+ 5-  3 -2  6 17- -5
Curve Equation t 20910f1 [1,1,0,418,4596] 1
20910g (2 curves)	0	2+ 3- 5+ 17+ 41+	2+ 3- 5+  2  4  0 17+ -8
Curve Equation t 20910g1 [1,0,1,-1359194,-512129608] 2 20910g2 [1,0,1,2547056,-2912129608] 2
20910h (2 curves)	1	2+ 3- 5+ 17- 41+	2+ 3- 5+ -1  3  5 17- -4
Curve Equation t Generators 20910h1 [1,0,1,-264,1546] 3 [11:-3:1] 20910h2 [1,0,1,-3579,-82298] 1 [79:320:1]
20910i (1 curve)	2	2+ 3- 5+ 17- 41-	2+ 3- 5+ -3 -1 -7 17-  0
Curve Equation t Generators 20910i1 [1,0,1,-49729,4236212] 1 [-242:1574:1]&[-125:2978:1]
20910j (1 curve)	2	2+ 3- 5- 17+ 41-	2+ 3- 5- -5 -5 -3 17+ -4
Curve Equation t Generators 20910j1 [1,0,1,-1013,10388] 1 [-36:40:1]&[9:40:1]
20910k (4 curves)	1	2- 3+ 5- 17+ 41+	2- 3+ 5-  0 -4  2 17+  4
Curve Equation t Generators 20910k1 [1,1,1,-555,3225] 2 [-17:98:1] 20910k2 [1,1,1,-3435,-76263] 4 [-35:68:1] 20910k3 [1,1,1,-54435,-4911063] 2 [-135:68:1] 20910k4 [1,1,1,1485,-271095] 2 [129:1380:1]
20910l (1 curve)	1	2- 3+ 5- 17- 41-	2- 3+ 5-  1 -1 -1 17-  4
Curve Equation t Generators 20910l1 [1,1,1,-595710,176681787] 1 [417:791:1]
20910m (1 curve)	0	2- 3- 5+ 17+ 41-	2- 3- 5+ -3  5 -1 17+  0
Curve Equation t 20910m1 [1,0,0,-3826,35780] 1
20910n (1 curve)	1	2- 3- 5+ 17- 41-	2- 3- 5+  1  1  1 17- -8
Curve Equation t Generators 20910n1 [1,0,0,-131,321] 1 [-2:25:1]
20910o (2 curves)	0	2- 3- 5- 17+ 41+	2- 3- 5-  5 -3  5 17+  8
Curve Equation t 20910o1 [1,0,0,-3610055,2596450377] 3 20910o2 [1,0,0,-32697155,-70825819803] 1
20910p (4 curves)	1	2- 3- 5- 17+ 41-	2- 3- 5- -4  0  6 17+ -8
Curve Equation t Generators 20910p1 [1,0,0,-10755,-150975] 4 [-90:345:1] 20910p2 [1,0,0,-138755,-19888575] 4 [-218:217:1] 20910p3 [1,0,0,-2219555,-1272946335] 2 [2922:129657:1] 20910p4 [1,0,0,-105955,-29525215] 2 [602:10877:1]

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