Cremona's table of elliptic curves

10824 = 2³ · 3 · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
10824a (2 curves)	1	2+ 3+ 11+ 41+	2+ 3+  0  4 11+ -2 -2 -4
Curve Equation t Generators 10824a1 [0,-1,0,-36528,-2674980] 2 [481128061073848:-2484051647321503:2061961252352] 10824a2 [0,-1,0,-36488,-2681172] 2 [1447907828:27107328699:3241792]
10824b (1 curve)	1	2+ 3+ 11+ 41+	2+ 3+ -1  1 11+  6  3 -1
Curve Equation t Generators 10824b1 [0,-1,0,-31831,195513604] 1 [1303:48627:1]
10824c (1 curve)	1	2+ 3+ 11+ 41+	2+ 3+  3  1 11+ -2 -5 -1
Curve Equation t Generators 10824c1 [0,-1,0,1,12] 1 [-1:3:1]
10824d (1 curve)	1	2+ 3+ 11- 41-	2+ 3+ -1  3 11-  2 -3 -3
Curve Equation t Generators 10824d1 [0,-1,0,-2791,-82268] 1 [607:14883:1]
10824e (2 curves)	0	2+ 3- 11+ 41+	2+ 3- -2  2 11+ -4 -2  0
Curve Equation t 10824e1 [0,1,0,-16207584,25109156016] 2 10824e2 [0,1,0,-16207544,25109286192] 2
10824f (4 curves)	0	2+ 3- 11+ 41+	2+ 3- -2 -4 11+  2 -2  0
Curve Equation t 10824f1 [0,1,0,1,-258] 2 10824f2 [0,1,0,-604,-5824] 4 10824f3 [0,1,0,-9624,-366624] 2 10824f4 [0,1,0,-1264,8432] 2
10824g (1 curve)	0	2+ 3- 11+ 41+	2+ 3-  3 -3 11+  6  3 -5
Curve Equation t 10824g1 [0,1,0,-4999,-137722] 1
10824h (2 curves)	1	2- 3- 11+ 41+	2- 3-  0 -2 11+  6  2  0
Curve Equation t Generators 10824h1 [0,1,0,-12088,507392] 2 [23:492:1] 10824h2 [0,1,0,-13728,359136] 2 [15:396:1]
10824i (1 curve)	2	2- 3- 11+ 41-	2- 3- -3 -3 11+ -2 -7 -5
Curve Equation t Generators 10824i1 [0,1,0,-12,144] 1 [-6:6:1]&[0:12:1]
10824j (1 curve)	2	2- 3- 11- 41+	2- 3- -3 -5 11- -6 -1 -3
Curve Equation t Generators 10824j1 [0,1,0,-49772,4259376] 1 [-248:1188:1]&[346:-5346:1]
10824k (1 curve)	1	2- 3- 11- 41-	2- 3-  1 -1 11- -2 -3  1
Curve Equation t Generators 10824k1 [0,1,0,-115,542] 1 [11:-27:1]
10824l (4 curves)	1	2- 3- 11- 41-	2- 3-  2  0 11-  2 -6 -4
Curve Equation t Generators 10824l1 [0,1,0,-452,3552] 2 [-6:78:1] 10824l2 [0,1,0,-472,3200] 4 [-168:2080:27] 10824l3 [0,1,0,-2112,-34848] 2 [99:858:1] 10824l4 [0,1,0,848,19040] 2 [21324:306865:1728]

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