Cremona's table of elliptic curves

46746 = 2 · 3² · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
46746a (2 curves)	0	2+ 3+ 7- 53+	2+ 3+ -2 7-  0  2  6  0
Curve Equation t 46746a1 [1,-1,0,-97323,12305285] 2 46746a2 [1,-1,0,-1579083,764150309] 2
46746b (1 curve)	0	2+ 3+ 7- 53+	2+ 3+ -2 7- -1  2 -2  7
Curve Equation t 46746b1 [1,-1,0,-4713,228941] 1
46746c (2 curves)	1	2+ 3+ 7- 53-	2+ 3+  2 7-  2 -2  0  4
Curve Equation t Generators 46746c1 [1,-1,0,579,33137] 2 [-19:132:1] 46746c2 [1,-1,0,-12651,522647] 2 [359:6313:1]
46746d (2 curves)	1	2+ 3+ 7- 53-	2+ 3+ -2 7-  4 -4 -6 -4
Curve Equation t Generators 46746d1 [1,-1,0,-1038,12704] 2 [-26:160:1] 46746d2 [1,-1,0,432,44750] 2 [-19:181:1]
46746e (1 curve)	2	2+ 3- 7+ 53+	2+ 3- -2 7+ -1 -3 -3 -2
Curve Equation t Generators 46746e1 [1,-1,0,-12798,-113324] 1 [-108:74:1]&[-61:692:1]
46746f (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  4 7+ -5  5 -1 -2
Curve Equation t Generators 46746f1 [1,-1,0,-21624885,-38427240587] 1 [9554:787043:1]
46746g (1 curve)	1	2+ 3- 7+ 53-	2+ 3- -4 7+  3 -1 -5 -6
Curve Equation t Generators 46746g1 [1,-1,0,-52929,4699309] 1 [86:839:1]
46746h (2 curves)	1	2+ 3- 7- 53+	2+ 3-  0 7-  2  0  6  4
Curve Equation t Generators 46746h1 [1,-1,0,-173637,26599509] 2 [2305:107792:1] 46746h2 [1,-1,0,-496197,-100553643] 2 [954:16659:1]
46746i (2 curves)	1	2+ 3- 7- 53+	2+ 3-  0 7-  2  0 -6 -4
Curve Equation t Generators 46746i1 [1,-1,0,-8508222,-9106615148] 2 [-549164692:3954973514:389017] 46746i2 [1,-1,0,-24313662,34538526868] 2 [-52:189242:1]
46746j (1 curve)	1	2+ 3- 7- 53+	2+ 3-  1 7-  1  0 -7  4
Curve Equation t Generators 46746j1 [1,-1,0,1195101,-841808619] 1 [478890015:-95282905278:12167]
46746k (1 curve)	1	2+ 3- 7- 53+	2+ 3-  2 7- -1  3  3  2
Curve Equation t Generators 46746k1 [1,-1,0,-261,405] 1 [18:27:1]
46746l (1 curve)	1	2+ 3- 7- 53+	2+ 3- -3 7-  1  4 -3  8
Curve Equation t Generators 46746l1 [1,-1,0,-327231,75075853] 1 [401:2666:1]
46746m (1 curve)	1	2+ 3- 7- 53+	2+ 3- -3 7-  5  2  5 -6
Curve Equation t Generators 46746m1 [1,-1,0,-5301,466101] 1 [-75:699:1]
46746n (2 curves)	0	2+ 3- 7- 53-	2+ 3-  0 7-  0 -5 -3  1
Curve Equation t 46746n1 [1,-1,0,-124812,-21522992] 1 46746n2 [1,-1,0,-10849932,-13753176368] 1
46746o (1 curve)	0	2+ 3- 7- 53-	2+ 3-  0 7- -5  0  2  1
Curve Equation t 46746o1 [1,-1,0,873,-71037] 1
46746p (2 curves)	0	2+ 3- 7- 53-	2+ 3- -2 7-  0  4  2  0
Curve Equation t 46746p1 [1,-1,0,31302,-2623104] 2 46746p2 [1,-1,0,-202428,-26042850] 2
46746q (1 curve)	0	2+ 3- 7- 53-	2+ 3- -2 7- -2 -1  3 -1
Curve Equation t 46746q1 [1,-1,0,-35583,109076561] 1
46746r (2 curves)	0	2+ 3- 7- 53-	2+ 3- -2 7- -2  6 -4 -8
Curve Equation t 46746r1 [1,-1,0,1912410162,49460778525780] 2 46746r2 [1,-1,0,-14272360398,525574647997524] 2
46746s (1 curve)	0	2+ 3- 7- 53-	2+ 3- -2 7-  6 -5 -1  3
Curve Equation t 46746s1 [1,-1,0,-6183,751869] 1
46746t (2 curves)	0	2+ 3- 7- 53-	2+ 3-  3 7-  3  4  3  4
Curve Equation t 46746t1 [1,-1,0,432,8392] 1 46746t2 [1,-1,0,-3978,-260618] 1
46746u (1 curve)	0	2+ 3- 7- 53-	2+ 3-  4 7-  3  1  5  6
Curve Equation t 46746u1 [1,-1,0,-1080,-13392] 1
46746v (1 curve)	2	2+ 3- 7- 53-	2+ 3- -4 7- -5 -5  1  2
Curve Equation t Generators 46746v1 [1,-1,0,-441324,112158864] 1 [-5874:53499:8]&[-32:11252:1]
46746w (2 curves)	1	2- 3+ 7- 53+	2- 3+  2 7- -4 -4  6 -4
Curve Equation t Generators 46746w1 [1,-1,1,-9344,-333665] 2 [3670:74797:8] 46746w2 [1,-1,1,3886,-1212137] 2 [17825078:371475389:39304]
46746x (2 curves)	1	2- 3+ 7- 53+	2- 3+ -2 7- -2 -2  0  4
Curve Equation t Generators 46746x1 [1,-1,1,64,-1249] 2 [86:149:8] 46746x2 [1,-1,1,-1406,-18889] 2 [1430:17901:8]
46746y (2 curves)	0	2- 3+ 7- 53-	2- 3+  2 7-  0  2 -6  0
Curve Equation t 46746y1 [1,-1,1,-10814,-452147] 2 46746y2 [1,-1,1,-175454,-28243379] 2
46746z (1 curve)	0	2- 3+ 7- 53-	2- 3+  2 7-  1  2  2  7
Curve Equation t 46746z1 [1,-1,1,-524,-8305] 1
46746ba (1 curve)	1	2- 3- 7+ 53+	2- 3- -2 7+  3  5 -7  6
Curve Equation t Generators 46746ba1 [1,-1,1,-6071036,5759094975] 1 [1409:177:1]
46746bb (2 curves)	0	2- 3- 7+ 53-	2- 3-  0 7+  3 -1  3  2
Curve Equation t 46746bb1 [1,-1,1,-273650,-55030111] 1 46746bb2 [1,-1,1,-350825,-21468247] 3
46746bc (1 curve)	0	2- 3- 7+ 53-	2- 3-  4 7+  3  1  3  6
Curve Equation t 46746bc1 [1,-1,1,-491798,-124213211] 1
46746bd (1 curve)	0	2- 3- 7+ 53-	2- 3-  4 7+  3 -3  3 -2
Curve Equation t 46746bd1 [1,-1,1,-3758,-46231] 1
46746be (1 curve)	0	2- 3- 7- 53+	2- 3-  1 7- -5  4  3  4
Curve Equation t 46746be1 [1,-1,1,-12137,-511927] 1
46746bf (1 curve)	0	2- 3- 7- 53+	2- 3-  2 7-  3 -5  7 -6
Curve Equation t 46746bf1 [1,-1,1,-123899,-16754965] 1
46746bg (2 curves)	0	2- 3- 7- 53+	2- 3-  2 7- -4  0 -6  8
Curve Equation t 46746bg1 [1,-1,1,-57119,6931271] 2 46746bg2 [1,-1,1,-992039,380525303] 2
46746bh (2 curves)	0	2- 3- 7- 53+	2- 3-  2 7-  6 -2  4  0
Curve Equation t 46746bh1 [1,-1,1,9031,334793] 2 46746bh2 [1,-1,1,-52709,3224225] 2
46746bi (1 curve)	0	2- 3- 7- 53+	2- 3-  4 7-  1  4  6  1
Curve Equation t 46746bi1 [1,-1,1,62392,1104779] 1
46746bj (2 curves)	0	2- 3- 7- 53+	2- 3-  4 7-  4 -2  6 -2
Curve Equation t 46746bj1 [1,-1,1,-28013,2520389] 2 46746bj2 [1,-1,1,-495473,134344109] 2
46746bk (2 curves)	0	2- 3- 7- 53+	2- 3- -4 7-  0  4 -2 -6
Curve Equation t 46746bk1 [1,-1,1,-13059122,18895135025] 2 46746bk2 [1,-1,1,-211262162,1181950573745] 2
46746bl (1 curve)	1	2- 3- 7- 53-	2- 3-  0 7-  0 -1  1  3
Curve Equation t Generators 46746bl1 [1,-1,1,1617505,-7100063225] 1 [9725:958624:1]
46746bm (2 curves)	1	2- 3- 7- 53-	2- 3-  0 7-  2  4 -2  4
Curve Equation t Generators 46746bm1 [1,-1,1,-26690,-204991] 2 [-123:1159:1] 46746bm2 [1,-1,1,-273650,54916481] 2 [-453:9487:1]
46746bn (2 curves)	1	2- 3- 7- 53-	2- 3-  0 7-  2 -4  2 -4
Curve Equation t Generators 46746bn1 [1,-1,1,-545,753] 2 [-19:72:1] 46746bn2 [1,-1,1,-5585,-158511] 2 [-43:48:1]
46746bo (2 curves)	1	2- 3- 7- 53-	2- 3-  0 7-  3  1 -3 -2
Curve Equation t Generators 46746bo1 [1,-1,1,-5585,162033] 1 [41:6:1] 46746bo2 [1,-1,1,-7160,64635] 1 [-25:-465:1]
46746bp (2 curves)	1	2- 3- 7- 53-	2- 3-  0 7-  3  4  6 -5
Curve Equation t Generators 46746bp1 [1,-1,1,-26690,1685625] 1 [95:-21:1] 46746bp2 [1,-1,1,19615,6649521] 1 [167:3732:1]
46746bq (1 curve)	1	2- 3- 7- 53-	2- 3- -1 7-  1  2 -7 -2
Curve Equation t Generators 46746bq1 [1,-1,1,2857,-109735] 1 [10782:390623:8]
46746br (1 curve)	1	2- 3- 7- 53-	2- 3- -1 7-  1 -2  1  2
Curve Equation t Generators 46746br1 [1,-1,1,-16424393,25624283465] 1 [2319:604:1]
46746bs (1 curve)	1	2- 3- 7- 53-	2- 3- -1 7- -3 -4 -3  0
Curve Equation t Generators 46746bs1 [1,-1,1,-2288,53533] 1 [254:751:8]
46746bt (1 curve)	1	2- 3- 7- 53-	2- 3- -1 7- -3  6 -3  2
Curve Equation t Generators 46746bt1 [1,-1,1,35932,-643737] 1 [23:429:1]
46746bu (4 curves)	1	2- 3- 7- 53-	2- 3-  2 7-  0 -2  2 -4
Curve Equation t Generators 46746bu1 [1,-1,1,-10814,431421] 4 [-85:897:1] 46746bu2 [1,-1,1,-19634,-365907] 4 [47346:497579:216] 46746bu3 [1,-1,1,72976,-2884899] 2 [178172883040:5194627891689:224755712] 46746bu4 [1,-1,1,-253364,-48981747] 2 [-1175428960:-143861073:4096000]
46746bv (4 curves)	1	2- 3- 7- 53-	2- 3-  2 7-  4 -2 -2 -4
Curve Equation t Generators 46746bv1 [1,-1,1,-837689,-294768295] 2 [-4170:3845:8] 46746bv2 [1,-1,1,-978809,-188589607] 4 [10166:193853:8] 46746bv3 [1,-1,1,3307711,-1397388247] 2 [30228:1036639:64] 46746bv4 [1,-1,1,-7523249,7813951625] 2 [172847492904:-20049030646391:12487168]
46746bw (1 curve)	1	2- 3- 7- 53-	2- 3-  3 7- -3 -4  1  0
Curve Equation t Generators 46746bw1 [1,-1,1,320524,111373399] 1 [1381:55757:1]
46746bx (1 curve)	1	2- 3- 7- 53-	2- 3- -4 7-  3 -1 -3 -6
Curve Equation t Generators 46746bx1 [1,-1,1,-10037,365005] 1 [31:272:1]
46746by (1 curve)	1	2- 3- 7- 53-	2- 3- -4 7-  3  3 -3  2
Curve Equation t Generators 46746by1 [1,-1,1,-184127,16225395] 1 [-1802:55293:8]
46746bz (1 curve)	1	2- 3- 7- 53-	2- 3- -4 7-  4 -1  5  7
Curve Equation t Generators 46746bz1 [1,-1,1,-3317,75485] 1 [37:30:1]

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