Cremona's table of elliptic curves

28336 = 2⁴ · 7 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
28336a (2 curves)	1	2+ 7+ 11+ 23+	2+  0 -4 7+ 11+ -4 -2  0
Curve Equation t Generators 28336a1 [0,0,0,-82,-285] 2 [11:12:1] 28336a2 [0,0,0,-47,-530] 2 [21:88:1]
28336b (1 curve)	1	2+ 7+ 11+ 23+	2+  3  2 7+ 11+ -1 -2  0
Curve Equation t Generators 28336b1 [0,0,0,-20359,1527353] 1 [1588944:16266151:9261]
28336c (1 curve)	0	2+ 7+ 11+ 23-	2+  1  0 7+ 11+  5  2 -6
Curve Equation t 28336c1 [0,1,0,1232,-17405] 1
28336d (2 curves)	0	2+ 7+ 11+ 23-	2+ -2  0 7+ 11+  2 -4  0
Curve Equation t 28336d1 [0,1,0,-3708,-88340] 2 28336d2 [0,1,0,-59368,-5587548] 2
28336e (1 curve)	0	2+ 7+ 11- 23+	2+  2 -3 7+ 11- -6  0 -6
Curve Equation t 28336e1 [0,-1,0,-78177,-8389411] 1
28336f (1 curve)	1	2+ 7+ 11- 23-	2+ -1  1 7+ 11-  5 -6 -7
Curve Equation t Generators 28336f1 [0,-1,0,-120,544] 1 [6:2:1]
28336g (2 curves)	1	2+ 7+ 11- 23-	2+  2  0 7+ 11-  4  2 -2
Curve Equation t Generators 28336g1 [0,-1,0,912,3728] 2 [14:138:1] 28336g2 [0,-1,0,-3928,34704] 2 [-240:7084:27]
28336h (1 curve)	0	2+ 7- 11+ 23+	2+  3  3 7- 11+  1 -6  3
Curve Equation t 28336h1 [0,0,0,-691,4898] 1
28336i (2 curves)	1	2+ 7- 11- 23+	2+  0  0 7- 11-  4 -6  0
Curve Equation t Generators 28336i1 [0,0,0,-10090,-389937] 2 [727:19404:1] 28336i2 [0,0,0,-8375,-526794] 2 [125:616:1]
28336j (1 curve)	1	2+ 7- 11- 23+	2+ -1  2 7- 11- -1  6  0
Curve Equation t Generators 28336j1 [0,-1,0,28,-53] 1 [3:7:1]
28336k (1 curve)	2	2+ 7- 11- 23-	2+ -3 -4 7- 11- -4  2 -4
Curve Equation t Generators 28336k1 [0,0,0,-2467,68290] 1 [-43:308:1]&[-57:154:1]
28336l (2 curves)	0	2- 7+ 11+ 23+	2-  1  1 7+ 11+ -1 -2  5
Curve Equation t 28336l1 [0,1,0,-4138960,-3019068524] 1 28336l2 [0,1,0,-504037520,4355373136916] 1
28336m (1 curve)	2	2- 7+ 11+ 23+	2-  1 -2 7+ 11+ -4  4 -4
Curve Equation t Generators 28336m1 [0,1,0,496,64532] 1 [2:-256:1]&[68:646:1]
28336n (2 curves)	0	2- 7+ 11+ 23+	2- -1  3 7+ 11+ -1  6  1
Curve Equation t 28336n1 [0,-1,0,-4984,120176] 1 28336n2 [0,-1,0,-389544,93709936] 1
28336o (2 curves)	1	2- 7+ 11+ 23-	2-  0  0 7+ 11+  0 -2 -4
Curve Equation t Generators 28336o1 [0,0,0,205,-403982] 2 [271:4422:1] 28336o2 [0,0,0,-80755,-8678094] 2 [9525:70082:27]
28336p (1 curve)	1	2- 7+ 11+ 23-	2-  1 -3 7+ 11+ -3  4  3
Curve Equation t Generators 28336p1 [0,1,0,-792,-8044] 1 [-20:14:1]
28336q (2 curves)	1	2- 7+ 11+ 23-	2- -1  3 7+ 11+  5  0 -5
Curve Equation t Generators 28336q1 [0,-1,0,-3904,23552] 1 [-46:322:1] 28336q2 [0,-1,0,-243264,46262272] 1 [274:322:1]
28336r (4 curves)	1	2- 7+ 11+ 23-	2-  2  0 7+ 11+  2 -6  4
Curve Equation t Generators 28336r1 [0,-1,0,-3113,-65824] 2 [-6401062211795856:-165317090593499:201312482291712] 28336r2 [0,-1,0,-3228,-60580] 2 [-24011944:-61605999:681472] 28336r3 [0,-1,0,-5313,40964] 2 [761520:7548301:110592] 28336r4 [0,-1,0,-66148,6562476] 2 [2019:38456:27]
28336s (2 curves)	1	2- 7+ 11+ 23-	2- -2  0 7+ 11+  0 -2  6
Curve Equation t Generators 28336s1 [0,1,0,-95688,40029556] 2 [366:7360:1] 28336s2 [0,1,0,-2438248,1461494964] 2 [292:27830:1]
28336t (1 curve)	1	2- 7+ 11+ 23-	2-  3  0 7+ 11+  0 -2 -4
Curve Equation t Generators 28336t1 [0,0,0,-8035,3015266] 1 [-396942:103913848:59319]
28336u (1 curve)	1	2- 7+ 11+ 23-	2- -3  3 7+ 11+  3  4 -1
Curve Equation t Generators 28336u1 [0,0,0,-31,58] 1 [2:2:1]
28336v (2 curves)	1	2- 7+ 11- 23+	2-  0  2 7+ 11-  0  0  2
Curve Equation t Generators 28336v1 [0,0,0,-1894259,1013502002] 2 [686:6072:1] 28336v2 [0,0,0,-30392179,64489769010] 2 [86106:16280:27]
28336w (1 curve)	1	2- 7+ 11- 23+	2-  1 -1 7+ 11- -1  0 -5
Curve Equation t Generators 28336w1 [0,1,0,-96,308] 1 [4:2:1]
28336x (2 curves)	1	2- 7+ 11- 23+	2- -1  3 7+ 11-  5  0 -5
Curve Equation t Generators 28336x1 [0,-1,0,-8324,-289508] 1 [-18543141:468358:357911] 28336x2 [0,-1,0,-20284,716972] 1 [-91:1342:1]
28336y (2 curves)	1	2- 7+ 11- 23+	2-  2  0 7+ 11-  6 -2 -4
Curve Equation t Generators 28336y1 [0,-1,0,-33,-52] 2 [224276:1241448:6859] 28336y2 [0,-1,0,-148,684] 2 [-285:836:27]
28336z (1 curve)	1	2- 7+ 11- 23+	2- -2  1 7+ 11-  2  4  2
Curve Equation t Generators 28336z1 [0,1,0,-65205,6387007] 1 [147:-2:1]
28336ba (1 curve)	1	2- 7+ 11- 23+	2-  3 -4 7+ 11- -3 -6  2
Curve Equation t Generators 28336ba1 [0,0,0,-397,-3085] 1 [1398:9163:27]
28336bb (2 curves)	2	2- 7+ 11- 23-	2- -1  0 7+ 11- -4 -6  4
Curve Equation t Generators 28336bb1 [0,-1,0,352,256] 1 [0:16:1]&[5:46:1] 28336bb2 [0,-1,0,-5248,155264] 1 [40:-88:1]&[-59:506:1]
28336bc (1 curve)	0	2- 7+ 11- 23-	2- -1 -3 7+ 11-  1  2  1
Curve Equation t 28336bc1 [0,-1,0,-40752,3073984] 1
28336bd (4 curves)	0	2- 7+ 11- 23-	2-  2  0 7+ 11-  2  0  4
Curve Equation t 28336bd1 [0,-1,0,-488608,-143968512] 2 28336bd2 [0,-1,0,-8025248,-8747796736] 2 28336bd3 [0,-1,0,3095392,248149760] 2 28336bd4 [0,-1,0,-12478368,2004869888] 2
28336be (2 curves)	0	2- 7+ 11- 23-	2-  2  0 7+ 11- -2 -4 -8
Curve Equation t 28336be1 [0,-1,0,-208,-8256] 2 28336be2 [0,-1,0,-7568,-249664] 2
28336bf (2 curves)	0	2- 7+ 11- 23-	2-  2 -2 7+ 11- -6 -6  6
Curve Equation t 28336bf1 [0,-1,0,-2584,-57360] 2 28336bf2 [0,-1,0,-43064,-3425296] 2
28336bg (2 curves)	0	2- 7+ 11- 23-	2-  2  3 7+ 11-  2  0 -2
Curve Equation t 28336bg1 [0,-1,0,-309,-2179] 1 28336bg2 [0,-1,0,1931,2301] 1
28336bh (1 curve)	1	2- 7- 11+ 23+	2-  1  1 7- 11+ -3  2 -1
Curve Equation t Generators 28336bh1 [0,1,0,-206360,35997332] 1 [5844:33274:27]
28336bi (2 curves)	1	2- 7- 11+ 23+	2-  2 -4 7- 11+ -6  4  4
Curve Equation t Generators 28336bi1 [0,-1,0,160,1856] 2 [10:66:1] 28336bi2 [0,-1,0,-1680,23936] 2 [-46:42:1]
28336bj (1 curve)	1	2- 7- 11+ 23+	2- -2  1 7- 11+  6  8  2
Curve Equation t Generators 28336bj1 [0,1,0,-5,31] 1 [-1:6:1]
28336bk (1 curve)	1	2- 7- 11+ 23+	2-  3  2 7- 11+ -4  0 -4
Curve Equation t Generators 28336bk1 [0,0,0,-28339,-5730958] 1 [1399686:112633577:216]
28336bl (1 curve)	0	2- 7- 11+ 23-	2-  1 -1 7- 11+  1  4 -3
Curve Equation t 28336bl1 [0,1,0,-209756,29032376] 1
28336bm (1 curve)	0	2- 7- 11+ 23-	2-  1  2 7- 11+  7 -2  0
Curve Equation t 28336bm1 [0,1,0,-9702,-371077] 1
28336bn (1 curve)	0	2- 7- 11+ 23-	2-  3  3 7- 11+ -1  4  5
Curve Equation t 28336bn1 [0,0,0,-4051,71762] 1
28336bo (4 curves)	0	2- 7- 11- 23+	2-  0  2 7- 11- -6 -6 -8
Curve Equation t 28336bo1 [0,0,0,-5292059,-6790929462] 2 28336bo2 [0,0,0,-94841179,-355441473270] 4 28336bo3 [0,0,0,-105082619,-273958528342] 4 28336bo4 [0,0,0,-1517385659,-22750559221910] 2
28336bp (1 curve)	0	2- 7- 11- 23+	2- -1  3 7- 11- -1  0  1
Curve Equation t 28336bp1 [0,-1,0,-11044,-443044] 1
28336bq (1 curve)	0	2- 7- 11- 23+	2-  3  2 7- 11-  0  0  4
Curve Equation t 28336bq1 [0,0,0,-859,-9718] 1
28336br (1 curve)	1	2- 7- 11- 23-	2-  1 -1 7- 11-  3 -2 -1
Curve Equation t Generators 28336br1 [0,1,0,-14176,638836] 1 [12:686:1]
28336bs (1 curve)	1	2- 7- 11- 23-	2-  1  2 7- 11-  3 -2  8
Curve Equation t Generators 28336bs1 [0,1,0,-3662,92003] 1 [47:161:1]

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