Cremona's table of elliptic curves

21866 = 2 · 13 · 29²

Class	r	Atkin-Lehner	Eigenvalues
21866a (1 curve)	1	2+ 13+ 29+	2+ -1 -3 -3  4 13+  1  0
Curve Equation t Generators 21866a1 [1,1,0,36146,-828364] 1 [190:1587:8]
21866b (1 curve)	1	2+ 13+ 29+	2+  2  0  3  4 13+ -5  0
Curve Equation t Generators 21866b1 [1,1,0,-368375,-78186067] 1 [-8273309514:66261441559:22425768]
21866c (2 curves)	1	2+ 13+ 29+	2+  3 -1  1  2 13+  3 -6
Curve Equation t Generators 21866c1 [1,-1,0,-2260,63824] 1 [5205:67621:27] 21866c2 [1,-1,0,-178870,-31902586] 1 [38826357710191768815:-650265185917872562099:61683719298145875]
21866d (2 curves)	0	2+ 13- 29+	2+  2  0 -1  0 13-  3 -8
Curve Equation t 21866d1 [1,1,0,-1670,-1516] 1 21866d2 [1,1,0,-94470,-11215468] 1
21866e (1 curve)	1	2+ 13- 29-	2+  1 -2 -4  3 13-  2  1
Curve Equation t Generators 21866e1 [1,0,1,-343987,77665006] 1 [338:32:1]
21866f (1 curve)	1	2- 13+ 29-	2- -2  0  3 -4 13+  5  0
Curve Equation t Generators 21866f1 [1,0,0,-438,-3236] 1 [-10:18:1]
21866g (1 curve)	1	2- 13- 29+	2- -1  1 -1  6 13-  7  2
Curve Equation t Generators 21866g1 [1,1,1,-9047075,10475127873] 1 [1771:2478:1]
21866h (1 curve)	1	2- 13- 29+	2- -1 -2 -4 -3 13- -2 -1
Curve Equation t Generators 21866h1 [1,1,1,-409,3015] 1 [9:8:1]
21866i (2 curves)	1	2- 13- 29+	2- -1  3 -1  0 13- -3 -8
Curve Equation t Generators 21866i1 [1,1,1,-316654,68489589] 1 [-1434:88177:8] 21866i2 [1,1,1,284661,286056289] 1 [94510:17667069:1000]
21866j (3 curves)	1	2- 13- 29+	2- -1 -3 -1 -6 13-  3 -2
Curve Equation t Generators 21866j1 [1,1,1,403,5277] 1 [422:3149:8] 21866j2 [1,1,1,-3802,-181425] 1 [495:10685:1] 21866j3 [1,1,1,-386457,-92630873] 1 [727:3000:1]
21866k (2 curves)	1	2- 13- 29+	2-  2 -2  2  0 13- -2 -4
Curve Equation t Generators 21866k1 [1,1,1,-5484,-129283] 2 [24372:454537:64] 21866k2 [1,1,1,11336,-748259] 2 [80473740:1566817063:216000]
21866l (2 curves)	0	2- 13- 29-	2- -2  0 -1  0 13- -3  8
Curve Equation t 21866l1 [1,0,0,-1404908,-20116592] 3 21866l2 [1,0,0,-79449708,-272580654320] 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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