Cremona's table of elliptic curves

92169 = 3² · 7² · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
92169a (2 curves)	0	3+ 7- 11+ 19+	0 3+  3 7- 11+  4  0 19+
Curve Equation t 92169a1 [0,0,1,-104076,-12923297] 1 92169a2 [0,0,1,-134946,-4637446] 1
92169b (1 curve)	1	3+ 7- 11+ 19-	2 3+ -2 7- 11+  7 -5 19-
Curve Equation t Generators 92169b1 [0,0,1,17199,1391465] 1 [346290:48813601:39304]
92169c (2 curves)	1	3+ 7- 11- 19+	0 3+ -3 7- 11-  4  0 19+
Curve Equation t Generators 92169c1 [0,0,1,-14994,171757] 1 [-35:-809:1] 92169c2 [0,0,1,-936684,348929012] 1 [4242:9257:8]
92169d (1 curve)	0	3+ 7- 11- 19-	-2 3+  2 7- 11-  7  5 19-
Curve Equation t 92169d1 [0,0,1,1911,-51536] 1
92169e (1 curve)	0	3- 7+ 11+ 19+	2 3-  1 7+ 11+  2  5 19+
Curve Equation t 92169e1 [0,0,1,-147,-27477] 1
92169f (1 curve)	0	3- 7+ 11+ 19+	2 3- -1 7+ 11+  4  1 19+
Curve Equation t 92169f1 [0,0,1,54537,569637] 1
92169g (1 curve)	1	3- 7+ 11- 19+	1 3-  1 7+ 11-  5 -2 19+
Curve Equation t Generators 92169g1 [1,-1,0,-9,-918] 1 [142:1616:1]
92169h (1 curve)	1	3- 7+ 11- 19+	-2 3- -1 7+ 11-  0  1 19+
Curve Equation t Generators 92169h1 [0,0,1,-315128163,-2153186469968] 1 [271705:141316906:1]
92169i (2 curves)	2	3- 7+ 11- 19-	0 3- -3 7+ 11-  2 -3 19-
Curve Equation t Generators 92169i1 [0,0,1,1176,55872] 1 [-28:31:1]&[-126:1459:8] 92169i2 [0,0,1,-82614,9147087] 3 [-313:2083:1]&[-7:3118:1]
92169j (1 curve)	0	3- 7+ 11- 19-	0 3- -3 7+ 11-  6 -3 19-
Curve Equation t 92169j1 [0,0,1,14406,1169887] 1
92169k (2 curves)	1	3- 7- 11+ 19+	0 3-  0 7- 11+  1  3 19+
Curve Equation t Generators 92169k1 [0,0,1,-160230,-26613113] 1 [4779635:133488464:4913] 92169k2 [0,0,1,-13257930,-18580683956] 1 [5604559007887727860:-810058664737553088911:260121702707875]
92169l (1 curve)	1	3- 7- 11+ 19+	0 3-  3 7- 11+ -6  4 19+
Curve Equation t Generators 92169l1 [0,0,1,-11676,451449] 1 [77:94:1]
92169m (2 curves)	1	3- 7- 11+ 19+	0 3- -3 7- 11+ -2  0 19+
Curve Equation t Generators 92169m1 [0,0,1,-12054,595705] 1 [35:-466:1] 92169m2 [0,0,1,84966,-3445178] 1 [20132:2856773:1]
92169n (2 curves)	1	3- 7- 11+ 19+	1 3-  0 7- 11+  6 -2 19+
Curve Equation t Generators 92169n1 [1,-1,0,11898,-1653737] 2 [72166:6818281:8] 92169n2 [1,-1,0,-157887,-21993980] 2 [495195138:-47241681973:54872]
92169o (1 curve)	1	3- 7- 11+ 19+	1 3- -1 7- 11+  0 -4 19+
Curve Equation t Generators 92169o1 [1,-1,0,-170235,67103014] 1 [16630:846784:125]
92169p (1 curve)	1	3- 7- 11+ 19+	-2 3-  3 7- 11+  6 -2 19+
Curve Equation t Generators 92169p1 [0,0,1,-1281,17554] 1 [7:94:1]
92169q (1 curve)	0	3- 7- 11+ 19-	0 3-  1 7- 11+ -4 -6 19-
Curve Equation t 92169q1 [0,0,1,-377202,-73686776] 1
92169r (1 curve)	0	3- 7- 11+ 19-	0 3- -3 7- 11+  6 -4 19-
Curve Equation t 92169r1 [0,0,1,-572124,-154847093] 1
92169s (1 curve)	0	3- 7- 11+ 19-	0 3- -4 7- 11+  1 -1 19-
Curve Equation t 92169s1 [0,0,1,1660218,793439176] 1
92169t (2 curves)	2	3- 7- 11+ 19-	1 3-  0 7- 11+ -6  2 19-
Curve Equation t Generators 92169t1 [1,-1,0,243,4752] 2 [-82:307:8]&[4:74:1] 92169t2 [1,-1,0,-3222,65043] 2 [58:-295:1]&[326:-59:8]
92169u (1 curve)	0	3- 7- 11+ 19-	1 3-  1 7- 11+  0  4 19-
Curve Equation t 92169u1 [1,-1,0,-3474,-194643] 1
92169v (4 curves)	0	3- 7- 11+ 19-	-1 3-  2 7- 11+ -2 -2 19-
Curve Equation t 92169v1 [1,-1,1,-46201154,-120860895144] 2 92169v2 [1,-1,1,-46309199,-120267123042] 4 92169v3 [1,-1,1,-12552854,-291884381022] 2 92169v4 [1,-1,1,-81794264,89350252926] 2
92169w (1 curve)	0	3- 7- 11+ 19-	2 3-  1 7- 11+ -4 -1 19-
Curve Equation t 92169w1 [0,0,1,1113,-1661] 1
92169x (2 curves)	0	3- 7- 11+ 19-	2 3-  1 7- 11+ -4  8 19-
Curve Equation t 92169x1 [0,0,1,-824817,288032449] 1 92169x2 [0,0,1,-23143827,-42835536221] 1
92169y (1 curve)	0	3- 7- 11+ 19-	2 3- -1 7- 11+ -2 -5 19-
Curve Equation t 92169y1 [0,0,1,-7203,9424525] 1
92169z (1 curve)	2	3- 7- 11+ 19-	-2 3- -3 7- 11+ -6  2 19-
Curve Equation t Generators 92169z1 [0,0,1,-62769,-6021108] 1 [-1214:779:8]&[-147:171:1]
92169ba (2 curves)	0	3- 7- 11- 19+	0 3-  0 7- 11- -5 -3 19+
Curve Equation t 92169ba1 [0,0,1,33810,-3753878] 1 92169ba2 [0,0,1,-1223040,-522305051] 1
92169bb (1 curve)	2	3- 7- 11- 19+	0 3-  1 7- 11-  0 -6 19+
Curve Equation t Generators 92169bb1 [0,0,1,-2352,32499] 1 [-21:269:1]&[-7:220:1]
92169bc (2 curves)	0	3- 7- 11- 19+	0 3-  3 7- 11- -2  3 19+
Curve Equation t 92169bc1 [0,0,1,57624,-19164182] 1 92169bc2 [0,0,1,-4048086,-3137450927] 1
92169bd (1 curve)	0	3- 7- 11- 19+	0 3-  3 7- 11- -6  3 19+
Curve Equation t 92169bd1 [0,0,1,294,-3411] 1
92169be (2 curves)	0	3- 7- 11- 19+	-1 3-  2 7- 11-  6 -4 19+
Curve Equation t 92169be1 [1,-1,1,-17429,1267508] 2 92169be2 [1,-1,1,-310694,66724256] 2
92169bf (4 curves)	0	3- 7- 11- 19+	-1 3- -2 7- 11-  2  6 19+
Curve Equation t 92169bf1 [1,-1,1,1534,-1380648] 2 92169bf2 [1,-1,1,-177071,-28028514] 4 92169bf3 [1,-1,1,-395366,54923586] 2 92169bf4 [1,-1,1,-2816456,-1818587298] 2
92169bg (1 curve)	0	3- 7- 11- 19+	-1 3- -3 7- 11- -4 -4 19+
Curve Equation t 92169bg1 [1,-1,1,-4125974,-3224772358] 1
92169bh (1 curve)	1	3- 7- 11- 19-	0 3- -1 7- 11-  4  2 19-
Curve Equation t Generators 92169bh1 [0,0,1,-438288438,-1947065461070] 1 [-13076:1244281:1]
92169bi (1 curve)	1	3- 7- 11- 19-	0 3-  4 7- 11- -1 -3 19-
Curve Equation t Generators 92169bi1 [0,0,1,-588,-12434] 1 [6020:33233:125]
92169bj (1 curve)	1	3- 7- 11- 19-	1 3- -1 7- 11- -5  2 19-
Curve Equation t Generators 92169bj1 [1,-1,0,-450,315769] 1 [-474240:1012103:6859]
92169bk (4 curves)	1	3- 7- 11- 19-	1 3-  2 7- 11- -2  2 19-
Curve Equation t Generators 92169bk1 [1,-1,0,-33966,-7711313] 2 [910548:108141221:64] 92169bk2 [1,-1,0,-829971,-290293088] 4 [5402956674572:102959870595854:4354703137] 92169bk3 [1,-1,0,-1123236,-66766505] 2 [-173914:10308995:2197] 92169bk4 [1,-1,0,-13272786,-18608605331] 2 [277127020184141724084:31961915004016717289053:19208351673931328]
92169bl (2 curves)	1	3- 7- 11- 19-	-1 3- -2 7- 11- -6  4 19-
Curve Equation t Generators 92169bl1 [1,-1,1,-356,-3594] 2 [32:114:1] 92169bl2 [1,-1,1,-6341,-192720] 2 [-46:27:1]
92169bm (1 curve)	1	3- 7- 11- 19-	-1 3-  3 7- 11-  4  4 19-
Curve Equation t Generators 92169bm1 [1,-1,1,-202172711,1106501264124] 1 [-4324:1380507:1]
92169bn (1 curve)	1	3- 7- 11- 19-	2 3-  3 7- 11- -4  0 19-
Curve Equation t Generators 92169bn1 [0,0,1,-191541,-28491381] 1 [8386:242987:8]
92169bo (1 curve)	1	3- 7- 11- 19-	-2 3-  1 7- 11-  0 -1 19-
Curve Equation t Generators 92169bo1 [0,0,1,-6431187,6277511574] 1 [1478:-941:1]
92169bp (1 curve)	1	3- 7- 11- 19-	-2 3- -1 7- 11-  4 -4 19-
Curve Equation t Generators 92169bp1 [0,0,1,-509943,140162062] 1 [406:-221:1]

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