Cremona's table of elliptic curves

21824 = 2⁶ · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
21824a (1 curve)	1	2+ 11+ 31+	2+  0 -1 -3 11+ -2  0 -1
Curve Equation t Generators 21824a1 [0,0,0,-3188,70216] 1 [114:1331:8]
21824b (1 curve)	1	2+ 11+ 31+	2+  0  2 -3 11+  4  3  2
Curve Equation t Generators 21824b1 [0,0,0,22996,-3365328] 1 [1700777:48051869:2197]
21824c (1 curve)	1	2+ 11+ 31+	2+  0 -2 -1 11+  4 -3  6
Curve Equation t Generators 21824c1 [0,0,0,-716,-7376] 1 [45:227:1]
21824d (1 curve)	1	2+ 11+ 31+	2+  2  0 -1 11+ -4  7  6
Curve Equation t Generators 21824d1 [0,-1,0,-1414753,-647221695] 1 [132905073222827635231433092725201:4356706637511208524289804499064084:67677301979064516612273861187]
21824e (1 curve)	1	2+ 11+ 31+	2+  2  3 -5 11+ -4  6  1
Curve Equation t Generators 21824e1 [0,-1,0,22111,544457] 1 [2519392724:190435238103:211708736]
21824f (1 curve)	0	2+ 11+ 31-	2+  2 -4  5 11+  0 -5  6
Curve Equation t 21824f1 [0,-1,0,-65,-1759] 1
21824g (1 curve)	0	2+ 11- 31+	2+  2  3 -1 11-  4 -2  5
Curve Equation t 21824g1 [0,-1,0,-129,617] 1
21824h (1 curve)	2	2+ 11- 31+	2+ -2  0 -3 11-  0 -3 -2
Curve Equation t Generators 21824h1 [0,1,0,-33,319] 1 [-3:20:1]&[3:16:1]
21824i (1 curve)	0	2+ 11- 31+	2+ -2  3  3 11-  0 -6  1
Curve Equation t 21824i1 [0,1,0,-195889,-33436041] 1
21824j (1 curve)	2	2+ 11- 31+	2+ -2 -4 -5 11-  0 -5 -6
Curve Equation t Generators 21824j1 [0,1,0,-65,1759] 1 [-14:11:1]&[19:-88:1]
21824k (1 curve)	1	2+ 11- 31-	2+  0 -2  1 11-  4 -3 -6
Curve Equation t Generators 21824k1 [0,0,0,-716,7376] 1 [16:4:1]
21824l (1 curve)	1	2+ 11- 31-	2+  0  3 -5 11-  6  0  5
Curve Equation t Generators 21824l1 [0,0,0,-476,4952] 1 [13:31:1]
21824m (3 curves)	1	2+ 11- 31-	2+  2  0 -1 11-  4 -3 -2
Curve Equation t Generators 21824m1 [0,-1,0,-2113,39489] 1 [24:45:1] 21824m2 [0,-1,0,10687,104513] 1 [64:1023:1] 21824m3 [0,-1,0,-128193,-19977535] 1 [3008:163713:1]
21824n (1 curve)	1	2+ 11- 31-	2+  2 -1  1 11-  0 -6 -1
Curve Equation t Generators 21824n1 [0,-1,0,39,-31] 1 [8:27:1]
21824o (1 curve)	1	2+ 11- 31-	2+ -2  0  1 11- -4  7 -6
Curve Equation t Generators 21824o1 [0,1,0,-1414753,647221695] 1 [602:3751:1]
21824p (1 curve)	0	2- 11+ 31+	2-  0  3  5 11+  6  0 -5
Curve Equation t 21824p1 [0,0,0,-476,-4952] 1
21824q (3 curves)	0	2- 11+ 31+	2- -2  0  1 11+  4 -3  2
Curve Equation t 21824q1 [0,1,0,-2113,-39489] 1 21824q2 [0,1,0,10687,-104513] 1 21824q3 [0,1,0,-128193,19977535] 1
21824r (1 curve)	2	2- 11+ 31+	2- -2 -1 -1 11+  0 -6  1
Curve Equation t Generators 21824r1 [0,1,0,39,31] 1 [2:11:1]&[10:39:1]
21824s (1 curve)	1	2- 11+ 31-	2-  2  0  3 11+  0 -3  2
Curve Equation t Generators 21824s1 [0,-1,0,-33,-319] 1 [215:3144:1]
21824t (1 curve)	1	2- 11+ 31-	2-  2  3 -3 11+  0 -6 -1
Curve Equation t Generators 21824t1 [0,-1,0,-195889,33436041] 1 [2010:1023:8]
21824u (1 curve)	1	2- 11+ 31-	2- -2  3  1 11+  4 -2 -5
Curve Equation t Generators 21824u1 [0,1,0,-129,-617] 1 [138:407:8]
21824v (1 curve)	0	2- 11- 31-	2-  0 -1  3 11- -2  0  1
Curve Equation t 21824v1 [0,0,0,-3188,-70216] 1
21824w (1 curve)	0	2- 11- 31-	2-  0  2  3 11-  4  3 -2
Curve Equation t 21824w1 [0,0,0,22996,3365328] 1
21824x (1 curve)	0	2- 11- 31-	2- -2  3  5 11- -4  6 -1
Curve Equation t 21824x1 [0,1,0,22111,-544457] 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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