Cremona's table of elliptic curves

122265 = 3² · 5 · 11 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
122265a (1 curve)	1	3+ 5+ 11+ 13+ 19+	-2 3+ 5+ -4 11+ 13+  0 19+
Curve Equation t Generators 122265a1 [0,0,1,-218733993,-1281000203386] 1 [980896321149525:347534317550497963:7703734375]
122265b (1 curve)	1	3+ 5+ 11+ 13- 19-	2 3+ 5+ -4 11+ 13-  0 19-
Curve Equation t Generators 122265b1 [0,0,1,1377,209] 1 [19074:931469:8]
122265c (1 curve)	1	3+ 5- 11- 13+ 19+	2 3+ 5- -4 11- 13+  0 19+
Curve Equation t Generators 122265c1 [0,0,1,-24303777,47444451977] 1 [33426:1098071:8]
122265d (1 curve)	1	3+ 5- 11- 13- 19-	-2 3+ 5- -4 11- 13-  0 19-
Curve Equation t Generators 122265d1 [0,0,1,153,-8] 1 [7:-38:1]
122265e (1 curve)	0	3- 5+ 11+ 13+ 19+	0 3- 5+  5 11+ 13+ -2 19+
Curve Equation t 122265e1 [0,0,1,-409458,100834974] 1
122265f (4 curves)	0	3- 5+ 11+ 13+ 19+	-1 3- 5+ -4 11+ 13+  6 19+
Curve Equation t 122265f1 [1,-1,1,-545693,-161213484] 2 122265f2 [1,-1,1,-8827538,-10092802008] 4 122265f3 [1,-1,1,-8924063,-9860717298] 2 122265f4 [1,-1,1,-141240533,-646045934394] 2
122265g (4 curves)	0	3- 5+ 11+ 13+ 19+	-1 3- 5+ -4 11+ 13+ -6 19+
Curve Equation t 122265g1 [1,-1,1,-4637363,5824034642] 2 122265g2 [1,-1,1,-84357608,298174117106] 4 122265g3 [1,-1,1,-94599653,221223584612] 2 122265g4 [1,-1,1,-1349639483,19084573284356] 2
122265h (4 curves)	1	3- 5+ 11+ 13+ 19-	-1 3- 5+  0 11+ 13+ -2 19-
Curve Equation t Generators 122265h1 [1,-1,1,-1058,9416] 2 [36:112:1] 122265h2 [1,-1,1,-6503,-193138] 4 [-50:96:1] 122265h3 [1,-1,1,2902,-712294] 2 [121:1122:1] 122265h4 [1,-1,1,-103028,-12702778] 2 [-185:96:1]
122265i (1 curve)	1	3- 5+ 11+ 13- 19+	0 3- 5+ -3 11+ 13- -2 19+
Curve Equation t Generators 122265i1 [0,0,1,-4475838,3339735543] 1 [8247:1207799:27]
122265j (4 curves)	0	3- 5+ 11+ 13- 19-	1 3- 5+  4 11+ 13-  2 19-
Curve Equation t 122265j1 [1,-1,0,-2790,-54689] 2 122265j2 [1,-1,0,-6435,121000] 4 122265j3 [1,-1,0,19890,842305] 2 122265j4 [1,-1,0,-91080,10600051] 2
122265k (1 curve)	0	3- 5+ 11+ 13- 19-	2 3- 5+  1 11+ 13-  4 19-
Curve Equation t 122265k1 [0,0,1,-21693,-1213727] 1
122265l (4 curves)	1	3- 5+ 11- 13+ 19+	-1 3- 5+ -4 11- 13+ -2 19+
Curve Equation t Generators 122265l1 [1,-1,1,88897,-34338634] 2 [678:18025:1] 122265l2 [1,-1,1,-1196348,-460011778] 4 [-630:6898:1] 122265l3 [1,-1,1,-4276373,2892287432] 2 [-1440:78583:1] 122265l4 [1,-1,1,-18680243,-31070815144] 2 [-2489:1321:1]
122265m (4 curves)	1	3- 5+ 11- 13+ 19+	-1 3- 5+ -4 11- 13+ -6 19+
Curve Equation t Generators 122265m1 [1,-1,1,-2408,217266] 2 [8:-450:1] 122265m2 [1,-1,1,-70853,7253412] 4 [188:-837:1] 122265m3 [1,-1,1,-104198,-242544] 2 [435:5832:1] 122265m4 [1,-1,1,-1132628,464241372] 2 [617:-408:1]
122265n (4 curves)	0	3- 5+ 11- 13+ 19-	-1 3- 5+  4 11- 13+  6 19-
Curve Equation t 122265n1 [1,-1,1,-11138,-436408] 2 122265n2 [1,-1,1,-27383,1142606] 4 122265n3 [1,-1,1,79492,7811606] 2 122265n4 [1,-1,1,-394178,95335562] 2
122265o (1 curve)	2	3- 5+ 11- 13+ 19-	-2 3- 5+ -1 11- 13+ -2 19-
Curve Equation t Generators 122265o1 [0,0,1,-199263,34209994] 1 [-3262:55229:8]&[-61:6792:1]
122265p (2 curves)	0	3- 5+ 11- 13- 19+	1 3- 5+  0 11- 13-  2 19+
Curve Equation t 122265p1 [1,-1,0,-11565,484096] 2 122265p2 [1,-1,0,-185310,30750475] 2
122265q (6 curves)	0	3- 5+ 11- 13- 19+	1 3- 5+  0 11- 13-  6 19+
Curve Equation t 122265q1 [1,-1,0,-1230075,-1095869304] 2 122265q2 [1,-1,0,-25144920,-48490309125] 4 122265q3 [1,-1,0,-30688965,-25527983544] 4 122265q4 [1,-1,0,-402238395,-3104983761390] 2 122265q5 [1,-1,0,111860910,-195647004369] 2 122265q6 [1,-1,0,-261943560,1614113345925] 2
122265r (1 curve)	0	3- 5+ 11- 13- 19+	1 3- 5+  3 11- 13-  0 19+
Curve Equation t 122265r1 [1,-1,0,-339885,77087916] 1
122265s (1 curve)	1	3- 5- 11+ 13+ 19+	0 3- 5- -3 11+ 13+  6 19+
Curve Equation t Generators 122265s1 [0,0,1,-192,130] 1 [-2:22:1]
122265t (2 curves)	0	3- 5- 11+ 13+ 19-	-1 3- 5-  2 11+ 13+  2 19-
Curve Equation t 122265t1 [1,-1,1,3793,-3076986] 2 122265t2 [1,-1,1,-295682,-60336606] 2
122265u (1 curve)	0	3- 5- 11+ 13+ 19-	-2 3- 5-  5 11+ 13+  4 19-
Curve Equation t 122265u1 [0,0,1,-179140017,-908105612720] 1
122265v (2 curves)	0	3- 5- 11+ 13- 19+	1 3- 5-  0 11+ 13- -2 19+
Curve Equation t 122265v1 [1,-1,0,56511,41462248] 2 122265v2 [1,-1,0,-1507194,681643075] 2
122265w (2 curves)	0	3- 5- 11+ 13- 19+	1 3- 5- -2 11+ 13-  0 19+
Curve Equation t 122265w1 [1,-1,0,-2979,-60872] 2 122265w2 [1,-1,0,-54,-177287] 2
122265x (1 curve)	0	3- 5- 11+ 13- 19+	2 3- 5-  1 11+ 13- -6 19+
Curve Equation t 122265x1 [0,0,1,-2577,29277] 1
122265y (1 curve)	0	3- 5- 11- 13+ 19+	0 3- 5-  2 11- 13+  8 19+
Curve Equation t 122265y1 [0,0,1,-3120582,2123682912] 1
122265z (1 curve)	0	3- 5- 11- 13+ 19+	1 3- 5-  1 11- 13+ -4 19+
Curve Equation t 122265z1 [1,-1,0,-9,-500] 1
122265ba (2 curves)	0	3- 5- 11- 13+ 19+	-1 3- 5-  2 11- 13+  0 19+
Curve Equation t 122265ba1 [1,-1,1,-13952,637354] 2 122265ba2 [1,-1,1,-11027,909964] 2
122265bb (2 curves)	0	3- 5- 11- 13+ 19+	-1 3- 5-  2 11- 13+  0 19+
Curve Equation t 122265bb1 [1,-1,1,-31105337,-66765154264] 2 122265bb2 [1,-1,1,-31032212,-67094743264] 2
122265bc (2 curves)	0	3- 5- 11- 13+ 19+	-1 3- 5-  2 11- 13+ -6 19+
Curve Equation t 122265bc1 [1,-1,1,4943042608,870107754620666] 2 122265bc2 [1,-1,1,-112039379267,13714918055401916] 2
122265bd (2 curves)	0	3- 5- 11- 13+ 19+	-1 3- 5- -4 11- 13+  0 19+
Curve Equation t 122265bd1 [1,-1,1,853,-447326] 2 122265bd2 [1,-1,1,-82802,-8946674] 2
122265be (1 curve)	0	3- 5- 11- 13+ 19+	2 3- 5- -1 11- 13+  0 19+
Curve Equation t 122265be1 [0,0,1,-714627,-188682865] 1
122265bf (2 curves)	1	3- 5- 11- 13+ 19-	-1 3- 5- -4 11- 13+  2 19-
Curve Equation t Generators 122265bf1 [1,-1,1,-3767,59334] 2 [-48:381:1] 122265bf2 [1,-1,1,10858,398634] 2 [-3:606:1]
122265bg (4 curves)	1	3- 5- 11- 13- 19+	1 3- 5-  0 11- 13-  2 19+
Curve Equation t Generators 122265bg1 [1,-1,0,-2574,50895] 2 [1578:7643:27] 122265bg2 [1,-1,0,-2979,34128] 4 [582:3273:8] 122265bg3 [1,-1,0,9846,241893] 4 [6594:159811:216] 122265bg4 [1,-1,0,-22284,-1251585] 2 [1830:17985:8]
122265bh (1 curve)	1	3- 5- 11- 13- 19+	-2 3- 5-  3 11- 13- -4 19+
Curve Equation t Generators 122265bh1 [0,0,1,-17151447,4360029120] 1 [-217:89842:1]
122265bi (2 curves)	0	3- 5- 11- 13- 19-	0 3- 5-  2 11- 13-  0 19-
Curve Equation t 122265bi1 [0,0,1,348,-9918] 1 122265bi2 [0,0,1,-3162,282465] 3
122265bj (4 curves)	0	3- 5- 11- 13- 19-	1 3- 5-  0 11- 13-  2 19-
Curve Equation t 122265bj1 [1,-1,0,-3437559,-2649069360] 2 122265bj2 [1,-1,0,-56217564,-162224136477] 4 122265bj3 [1,-1,0,-57435939,-154823970402] 4 122265bj4 [1,-1,0,-899479269,-10383061958100] 2
122265bk (2 curves)	0	3- 5- 11- 13- 19-	1 3- 5-  2 11- 13-  0 19-
Curve Equation t 122265bk1 [1,-1,0,-2574,48343] 2 122265bk2 [1,-1,0,-40599,3158788] 2
122265bl (2 curves)	0	3- 5- 11- 13- 19-	1 3- 5-  2 11- 13-  6 19-
Curve Equation t 122265bl1 [1,-1,0,6160986,-3926808977] 2 122265bl2 [1,-1,0,-30075489,-34445168222] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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