Cremona's table of elliptic curves

46644 = 2² · 3 · 13² · 23

Class	r	Atkin-Lehner	Eigenvalues
46644a (2 curves)	0	2- 3+ 13+ 23+	2- 3+  0  0  4 13+  2  4
Curve Equation t 46644a1 [0,-1,0,-945273,353130426] 2 46644a2 [0,-1,0,-15113388,22619739960] 2
46644b (2 curves)	0	2- 3+ 13+ 23+	2- 3+  0 -2  0 13+ -6 -2
Curve Equation t 46644b1 [0,-1,0,-28157653,47026056466] 2 46644b2 [0,-1,0,-136779868,-573032995640] 2
46644c (1 curve)	0	2- 3+ 13+ 23+	2- 3+  3  0 -2 13+  2  7
Curve Equation t 46644c1 [0,-1,0,-4,-248] 1
46644d (1 curve)	0	2- 3+ 13+ 23+	2- 3+  3  4  6 13+  3  4
Curve Equation t 46644d1 [0,-1,0,-123764,25921752] 1
46644e (1 curve)	0	2- 3+ 13+ 23+	2- 3+ -3  0  2 13+  2 -7
Curve Equation t 46644e1 [0,-1,0,-732,-547704] 1
46644f (1 curve)	2	2- 3+ 13+ 23+	2- 3+ -3 -4 -6 13+  3 -4
Curve Equation t Generators 46644f1 [0,-1,0,-732,12024] 1 [-30:78:1]&[-18:138:1]
46644g (2 curves)	0	2- 3+ 13+ 23+	2- 3+ -4 -4  0 13+ -6  0
Curve Equation t 46644g1 [0,-1,0,-135425,-18693234] 2 46644g2 [0,-1,0,-310340,39728376] 2
46644h (2 curves)	1	2- 3+ 13+ 23-	2- 3+  0 -4  0 13+  2  8
Curve Equation t Generators 46644h1 [0,-1,0,-12393,-422982] 2 [-81:207:1] 46644h2 [0,-1,0,-187308,-31138056] 2 [-250:38:1]
46644i (1 curve)	1	2- 3+ 13+ 23-	2- 3+  1  2  3 13+  3  0
Curve Equation t Generators 46644i1 [0,-1,0,-240205,-45232487] 1 [1803:73346:1]
46644j (1 curve)	1	2- 3+ 13+ 23-	2- 3+ -1 -2 -3 13+  3  0
Curve Equation t Generators 46644j1 [0,-1,0,-1421,-20151] 1 [88:727:1]
46644k (2 curves)	1	2- 3+ 13+ 23-	2- 3+ -4 -2  0 13+  6  6
Curve Equation t Generators 46644k1 [0,-1,0,-510605,117821586] 2 [5610:81627:8] 46644k2 [0,-1,0,-2358620,-1282973784] 2 [-21597:257894:27]
46644l (2 curves)	1	2- 3+ 13- 23+	2- 3+  2  0  2 13-  6 -4
Curve Equation t Generators 46644l1 [0,-1,0,-407177,-99109518] 2 [1793:70227:1] 46644l2 [0,-1,0,-703772,64729560] 2 [1326870:50560550:729]
46644m (2 curves)	1	2- 3+ 13- 23+	2- 3+ -2  0 -2 13-  6  4
Curve Equation t Generators 46644m1 [0,-1,0,-2409,-44370] 2 [78:486:1] 46644m2 [0,-1,0,-4164,30744] 2 [650:3771:8]
46644n (2 curves)	1	2- 3- 13+ 23+	2- 3-  0  2  4 13+  6 -6
Curve Equation t Generators 46644n1 [0,1,0,-387573,-92999880] 2 [-11572702746:218502973:32157432] 46644n2 [0,1,0,-390108,-91724268] 2 [3586770390157626:-216228192165907181:958002056712]
46644o (1 curve)	1	2- 3- 13+ 23+	2- 3-  1  4 -1 13+ -3  6
Curve Equation t Generators 46644o1 [0,1,0,-1005,11727] 1 [21:18:1]
46644p (1 curve)	1	2- 3- 13+ 23+	2- 3- -1 -4  1 13+ -3 -6
Curve Equation t Generators 46644p1 [0,1,0,-169901,26443743] 1 [394:4563:1]
46644q (1 curve)	1	2- 3- 13+ 23+	2- 3-  3 -4  1 13+  3  0
Curve Equation t Generators 46644q1 [0,1,0,-69,183] 1 [26:129:1]
46644r (1 curve)	1	2- 3- 13+ 23+	2- 3- -3  4 -1 13+  3  0
Curve Equation t Generators 46644r1 [0,1,0,-11717,448839] 1 [225:3042:1]

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