Cremona's table of elliptic curves

99099 = 3² · 7 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
99099a (2 curves)	0	3+ 7+ 11+ 13-	1 3+ -2 7+ 11+ 13- -6  4
Curve Equation t 99099a1 [1,-1,0,-138,-665] 2 99099a2 [1,-1,0,-2283,-41420] 2
99099b (2 curves)	0	3+ 7+ 11+ 13-	-1 3+  2 7+ 11+ 13-  6  4
Curve Equation t 99099b1 [1,-1,1,-1244,19198] 2 99099b2 [1,-1,1,-20549,1138888] 2
99099c (2 curves)	0	3+ 7+ 11- 13+	0 3+  0 7+ 11- 13+  0 -2
Curve Equation t 99099c1 [0,0,1,3630,806253] 1 99099c2 [0,0,1,-555390,159353642] 1
99099d (2 curves)	0	3+ 7+ 11- 13+	0 3+  0 7+ 11- 13+  0 -2
Curve Equation t 99099d1 [0,0,1,-61710,-5901987] 1 99099d2 [0,0,1,32670,-21768838] 1
99099e (1 curve)	0	3+ 7+ 11- 13+	2 3+  1 7+ 11- 13+ -5  2
Curve Equation t 99099e1 [0,0,1,-3267,-66157] 1
99099f (1 curve)	2	3+ 7+ 11- 13+	-2 3+ -1 7+ 11- 13+  5  2
Curve Equation t Generators 99099f1 [0,0,1,-363,2450] 1 [-21:28:1]&[-11:71:1]
99099g (2 curves)	0	3+ 7- 11+ 13+	1 3+  2 7- 11+ 13+ -6 -4
Curve Equation t 99099g1 [1,-1,0,-150486,-25101433] 2 99099g2 [1,-1,0,-2486391,-1508401108] 2
99099h (2 curves)	0	3+ 7- 11+ 13+	-1 3+ -2 7- 11+ 13+  6 -4
Curve Equation t 99099h1 [1,-1,1,-16721,935256] 2 99099h2 [1,-1,1,-276266,55958796] 2
99099i (2 curves)	0	3+ 7- 11- 13-	1 3+  0 7- 11- 13- -2  4
Curve Equation t 99099i1 [1,-1,0,-567,-3976] 2 99099i2 [1,-1,0,1248,-25393] 2
99099j (2 curves)	0	3+ 7- 11- 13-	-1 3+  0 7- 11- 13-  2  4
Curve Equation t 99099j1 [1,-1,1,-5105,112456] 2 99099j2 [1,-1,1,11230,674380] 2
99099k (1 curve)	0	3+ 7- 11- 13-	2 3+ -1 7- 11- 13- -5 -2
Curve Equation t 99099k1 [0,0,1,-43923,-3261283] 1
99099l (1 curve)	0	3+ 7- 11- 13-	-2 3+  1 7- 11- 13-  5 -2
Curve Equation t 99099l1 [0,0,1,-395307,88054634] 1
99099m (2 curves)	1	3- 7+ 11+ 13-	-1 3-  2 7+ 11+ 13-  0 -8
Curve Equation t Generators 99099m1 [1,-1,1,-80609,-10000240] 2 [4440:292984:1] 99099m2 [1,-1,1,-1338404,-595629592] 2 [228001881:14615960218:50653]
99099n (1 curve)	1	3- 7+ 11+ 13-	2 3-  2 7+ 11+ 13-  0 -2
Curve Equation t Generators 99099n1 [0,0,1,-371919999,-20905733694321] 1 [477651258508107308746:372470287323103549744379:784644853468904]
99099o (1 curve)	1	3- 7+ 11+ 13-	-2 3-  1 7+ 11+ 13- -6 -2
Curve Equation t Generators 99099o1 [0,0,1,123783,36518314] 1 [968:32609:1]
99099p (1 curve)	1	3- 7+ 11- 13+	0 3- -2 7+ 11- 13+  4 -7
Curve Equation t Generators 99099p1 [0,0,1,-7986,-1299389] 1 [5083:362335:1]
99099q (3 curves)	1	3- 7+ 11- 13+	0 3-  3 7+ 11- 13+ -6  7
Curve Equation t Generators 99099q1 [0,0,1,-7986,275184] 1 [-88:544:1] 99099q2 [0,0,1,13794,1365273] 1 [-3388:44617:64] 99099q3 [0,0,1,-127776,-43328376] 1 [1887321788:53930707735:1906624]
99099r (2 curves)	1	3- 7+ 11- 13+	0 3- -3 7+ 11- 13+ -3  4
Curve Equation t Generators 99099r1 [0,0,1,-20995194,25061589000] 1 [184018:27379049:8] 99099r2 [0,0,1,-661392534,-6545575218735] 1 [226845840658:12424642486601:7301384]
99099s (1 curve)	1	3- 7+ 11- 13+	1 3-  2 7+ 11- 13+ -1  8
Curve Equation t Generators 99099s1 [1,-1,0,-30696,-2005921] 1 [-18822:17881:216]
99099t (1 curve)	1	3- 7+ 11- 13+	-1 3-  0 7+ 11- 13+  3  6
Curve Equation t Generators 99099t1 [1,-1,1,-68630,7752638] 1 [114:1126:1]
99099u (1 curve)	1	3- 7+ 11- 13+	2 3-  0 7+ 11- 13+  6 -6
Curve Equation t Generators 99099u1 [0,0,1,-107085,-13728267] 1 [4385112578:7429335619:11543176]
99099v (1 curve)	1	3- 7+ 11- 13+	-2 3-  1 7+ 11- 13+ -4 -3
Curve Equation t Generators 99099v1 [0,0,1,-28677,2138584] 1 [88:-545:1]
99099w (1 curve)	0	3- 7+ 11- 13-	0 3-  1 7+ 11- 13-  4  0
Curve Equation t 99099w1 [0,0,1,23958,1877708] 1
99099x (1 curve)	0	3- 7+ 11- 13-	0 3-  1 7+ 11- 13- -4  1
Curve Equation t 99099x1 [0,0,1,-1452,-544712] 1
99099y (1 curve)	0	3- 7+ 11- 13-	0 3-  1 7+ 11- 13- -4 -7
Curve Equation t 99099y1 [0,0,1,-35698872,82125903384] 1
99099z (1 curve)	0	3- 7+ 11- 13-	0 3- -2 7+ 11- 13-  2  1
Curve Equation t 99099z1 [0,0,1,-5357946,4773837901] 1
99099ba (1 curve)	0	3- 7+ 11- 13-	0 3- -2 7+ 11- 13-  2 -7
Curve Equation t 99099ba1 [0,0,1,1669074,578777031] 1
99099bb (1 curve)	0	3- 7+ 11- 13-	0 3-  3 7+ 11- 13-  7 -4
Curve Equation t 99099bb1 [0,0,1,-1056,-13181] 1
99099bc (1 curve)	0	3- 7+ 11- 13-	0 3-  3 7+ 11- 13- -8  8
Curve Equation t 99099bc1 [0,0,1,1669074,-7877527826] 1
99099bd (1 curve)	0	3- 7+ 11- 13-	0 3- -3 7+ 11- 13-  4 -7
Curve Equation t 99099bd1 [0,0,1,7188126,-701723498] 1
99099be (2 curves)	0	3- 7+ 11- 13-	1 3-  0 7+ 11- 13-  0  8
Curve Equation t 99099be1 [1,-1,0,-3773952,4267811587] 2 99099be2 [1,-1,0,-68607567,218698509838] 2
99099bf (1 curve)	0	3- 7+ 11- 13-	1 3- -1 7+ 11- 13-  0 -1
Curve Equation t 99099bf1 [1,-1,0,-12150,-1237901] 1
99099bg (1 curve)	0	3- 7+ 11- 13-	1 3-  2 7+ 11- 13- -3 -4
Curve Equation t 99099bg1 [1,-1,0,-664645581,6595434858964] 1
99099bh (4 curves)	0	3- 7+ 11- 13-	1 3-  2 7+ 11- 13- -6 -4
Curve Equation t 99099bh1 [1,-1,0,-99666,6280159] 2 99099bh2 [1,-1,0,-758511,-249747008] 4 99099bh3 [1,-1,0,20124,-738574061] 2 99099bh4 [1,-1,0,-12078666,-16154564783] 2
99099bi (1 curve)	0	3- 7+ 11- 13-	1 3- -4 7+ 11- 13-  3  2
Curve Equation t 99099bi1 [1,-1,0,-574647354,5337837452569] 1
99099bj (1 curve)	0	3- 7+ 11- 13-	-2 3-  0 7+ 11- 13- -6  2
Curve Equation t 99099bj1 [0,0,1,2049135,-1188741722] 1
99099bk (1 curve)	0	3- 7+ 11- 13-	-2 3- -1 7+ 11- 13-  6 -4
Curve Equation t 99099bk1 [0,0,1,-43923,-4066538] 1
99099bl (2 curves)	1	3- 7- 11+ 13+	1 3-  2 7- 11+ 13+  0  8
Curve Equation t Generators 99099bl1 [1,-1,0,-666,7695] 2 [18:27:1] 99099bl2 [1,-1,0,-11061,450522] 2 [-658:7479:8]
99099bm (1 curve)	1	3- 7- 11+ 13+	2 3-  1 7- 11+ 13+  6  2
Curve Equation t Generators 99099bm1 [0,0,1,1023,-27437] 1 [178:633:8]
99099bn (1 curve)	1	3- 7- 11+ 13+	-2 3-  2 7- 11+ 13+  0  2
Curve Equation t Generators 99099bn1 [0,0,1,-3073719,15706787148] 1 [-1969:118849:1]
99099bo (1 curve)	0	3- 7- 11- 13+	0 3-  1 7- 11- 13+ -4  0
Curve Equation t 99099bo1 [0,0,1,198,-1411] 1
99099bp (1 curve)	0	3- 7- 11- 13+	0 3- -2 7- 11- 13+ -2 -1
Curve Equation t 99099bp1 [0,0,1,-648311466,-6353978246564] 1
99099bq (1 curve)	0	3- 7- 11- 13+	0 3- -2 7- 11- 13+ -2  7
Curve Equation t 99099bq1 [0,0,1,13794,-434844] 1
99099br (1 curve)	0	3- 7- 11- 13+	0 3-  3 7- 11- 13+ -7  4
Curve Equation t 99099br1 [0,0,1,-127776,17543578] 1
99099bs (1 curve)	0	3- 7- 11- 13+	0 3-  3 7- 11- 13+  8 -8
Curve Equation t 99099bs1 [0,0,1,13794,5918503] 1
99099bt (1 curve)	0	3- 7- 11- 13+	-1 3- -1 7- 11- 13+  0  1
Curve Equation t 99099bt1 [1,-1,1,-1470173,1652056728] 1
99099bu (1 curve)	0	3- 7- 11- 13+	-1 3-  2 7- 11- 13+  3  4
Curve Equation t 99099bu1 [1,-1,1,-5492939,-4953749754] 1
99099bv (1 curve)	0	3- 7- 11- 13+	-1 3- -4 7- 11- 13+ -3 -2
Curve Equation t 99099bv1 [1,-1,1,-4749152,-4009101060] 1
99099bw (1 curve)	0	3- 7- 11- 13+	2 3- -1 7- 11- 13+ -6  4
Curve Equation t 99099bw1 [0,0,1,-363,3055] 1
99099bx (1 curve)	1	3- 7- 11- 13-	0 3-  1 7- 11- 13-  2  1
Curve Equation t Generators 99099bx1 [0,0,1,-17294772,27783955174] 1 [1804:49549:1]
99099by (1 curve)	1	3- 7- 11- 13-	0 3- -2 7- 11- 13- -4  7
Curve Equation t Generators 99099by1 [0,0,1,-66,976] 1 [-8:31:1]
99099bz (2 curves)	1	3- 7- 11- 13-	0 3- -3 7- 11- 13-  3 -4
Curve Equation t Generators 99099bz1 [0,0,1,-173514,-18829143] 1 [-2414:19679:8] 99099bz2 [0,0,1,-5466054,4917787542] 3 [-2266:75289:1]
99099ca (1 curve)	1	3- 7- 11- 13-	1 3-  0 7- 11- 13- -3 -6
Curve Equation t Generators 99099ca1 [1,-1,0,-567,-5670] 1 [3594:213636:1]
99099cb (4 curves)	1	3- 7- 11- 13-	1 3- -2 7- 11- 13-  6  4
Curve Equation t Generators 99099cb1 [1,-1,0,11412,3000091] 2 [-218:13177:8] 99099cb2 [1,-1,0,-255393,47236360] 4 [4486:69361:8] 99099cb3 [1,-1,0,-750888,-191096735] 2 [40009670:-410267695:39304] 99099cb4 [1,-1,0,-4028778,3113489011] 2 [-1010:481843:8]
99099cc (1 curve)	1	3- 7- 11- 13-	-1 3-  2 7- 11- 13-  1 -8
Curve Equation t Generators 99099cc1 [1,-1,1,-254,1576] 1 [8:-1:1]
99099cd (4 curves)	1	3- 7- 11- 13-	-1 3-  2 7- 11- 13- -2  4
Curve Equation t Generators 99099cd1 [1,-1,1,-17084,-7242650] 2 [202376:3432541:512] 99099cd2 [1,-1,1,-675929,-212538752] 4 [-3874:10123:8] 99099cd3 [1,-1,1,-1095194,82959220] 2 [-745:22394:1] 99099cd4 [1,-1,1,-10798184,-13654893392] 2 [-5204654:2560265:2744]
99099ce (1 curve)	1	3- 7- 11- 13-	2 3- -1 7- 11- 13-  0 -1
Curve Equation t Generators 99099ce1 [0,0,1,2765697,-5688084735] 1 [10450:99095:8]
99099cf (1 curve)	1	3- 7- 11- 13-	-2 3-  3 7- 11- 13-  4 -5
Curve Equation t Generators 99099cf1 [0,0,1,1089,8984] 1 [66:1085:8]
99099cg (1 curve)	1	3- 7- 11- 13-	-2 3-  3 7- 11- 13- -8  4
Curve Equation t Generators 99099cg1 [0,0,1,-216711,39252188] 1 [418:4658:1]
99099ch (1 curve)	1	3- 7- 11- 13-	-2 3- -4 7- 11- 13- -2  6
Curve Equation t Generators 99099ch1 [0,0,1,47553,-25556864] 1 [1342:-49550:1]

Data from Elliptic Curve Data by J. E. Cremona.
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