Cremona's table of elliptic curves

122018 = 2 · 13² · 19²

Class	r	Atkin-Lehner	Eigenvalues
122018a (1 curve)	1	2+ 13+ 19+	2+  0 -1  1 -5 13+ -1 19+
Curve Equation t Generators 122018a1 [1,-1,0,-396508930,3039075894804] 1 [307308:421058:27]
122018b (1 curve)	1	2+ 13+ 19+	2+  0  3 -3  3 13+ -1 19+
Curve Equation t Generators 122018b1 [1,-1,0,-72448,-6176208] 1 [-4596:31900:27]
122018c (1 curve)	1	2+ 13+ 19+	2+  3 -2  3  2 13+ -1 19+
Curve Equation t Generators 122018c1 [1,-1,0,-72448,170017784] 1 [3626544329500874661:451171885150356708205:232370174605239]
122018d (1 curve)	0	2+ 13+ 19-	2+  0  1 -1  5 13+ -1 19-
Curve Equation t 122018d1 [1,-1,0,-6499,-200043] 1
122018e (2 curves)	0	2+ 13+ 19-	2+  0 -1  4  4 13+  3 19-
Curve Equation t 122018e1 [1,-1,0,49570,-18378008] 1 122018e2 [1,-1,0,-23743940,44554797392] 1
122018f (4 curves)	0	2+ 13+ 19-	2+  0 -2 -4 -4 13+  2 19-
Curve Equation t 122018f1 [1,-1,0,232597,-14656459] 2 122018f2 [1,-1,0,-987583,-119835975] 4 122018f3 [1,-1,0,-8918753,10166891515] 2 122018f4 [1,-1,0,-12579293,-17152694649] 2
122018g (1 curve)	0	2+ 13+ 19-	2+  0 -3  3 -3 13+ -1 19-
Curve Equation t 122018g1 [1,-1,0,-33916,1992576] 1
122018h (1 curve)	0	2+ 13+ 19-	2+  1 -1  1  0 13+ -3 19-
Curve Equation t 122018h1 [1,0,1,761341,-116391650] 1
122018i (1 curve)	0	2+ 13+ 19-	2+  1 -4 -2 -3 13+ -6 19-
Curve Equation t 122018i1 [1,0,1,-6299394053,-192440940653648] 1
122018j (3 curves)	0	2+ 13+ 19-	2+ -1  0  1  6 13+  3 19-
Curve Equation t 122018j1 [1,1,0,-946910,-355166612] 1 122018j2 [1,1,0,578315,-1347844051] 1 122018j3 [1,1,0,-5217540,36896684752] 1
122018k (2 curves)	2	2+ 13+ 19-	2+ -1  0  4 -3 13+ -6 19-
Curve Equation t Generators 122018k1 [1,1,0,335,5309] 1 [5:-87:1]&[313:5402:1] 122018k2 [1,1,0,-15720,753472] 1 [-33:1129:1]&[534:409:8]
122018l (3 curves)	2	2+ 13+ 19-	2+ -1  3  1 -6 13+ -3 19-
Curve Equation t Generators 122018l1 [1,1,0,29234,-3144682] 1 [1366:20273:8]&[967:30021:1] 122018l2 [1,1,0,-275811,111003157] 1 [5413:393852:1]&[64852:1858853:64] 122018l3 [1,1,0,-28034906,57122632468] 1 [3057:-1348:1]&[3047:-594:1]
122018m (1 curve)	0	2+ 13+ 19-	2+ -2  0  0 -3 13+  7 19-
Curve Equation t 122018m1 [1,0,1,43589659,48176502480] 1
122018n (1 curve)	0	2+ 13+ 19-	2+ -2  3  0  6 13+  7 19-
Curve Equation t 122018n1 [1,0,1,-17697,961508] 1
122018o (1 curve)	0	2+ 13+ 19-	2+  3  0  0 -3 13+  2 19-
Curve Equation t 122018o1 [1,-1,0,-101347,-12402337] 1
122018p (1 curve)	0	2+ 13+ 19-	2+ -3  3 -3  0 13+  5 19-
Curve Equation t 122018p1 [1,-1,0,-3732988,2777908498] 1
122018q (1 curve)	0	2+ 13+ 19-	2+ -3  4  2  5 13+  2 19-
Curve Equation t 122018q1 [1,-1,0,-14650,9480628] 1
122018r (2 curves)	1	2+ 13- 19-	2+  1 -3 -3  0 13- -3 19-
Curve Equation t Generators 122018r1 [1,0,1,1075,41680] 1 [-8:184:1] 122018r2 [1,0,1,-116250,-15520308] 1 [3450:199893:1]
122018s (1 curve)	1	2+ 13- 19-	2+ -1 -3  1  2 13-  1 19-
Curve Equation t Generators 122018s1 [1,1,0,-6170219,54792825469] 1 [10977:1139012:1]
122018t (1 curve)	0	2- 13+ 19+	2-  0  1 -1  5 13+ -1 19+
Curve Equation t 122018t1 [1,-1,1,-2346207,1383825863] 1
122018u (1 curve)	0	2- 13+ 19+	2-  0 -3  3 -3 13+ -1 19+
Curve Equation t 122018u1 [1,-1,1,-12243744,-13605860173] 1
122018v (2 curves)	0	2- 13+ 19+	2-  1  0  4 -3 13+ -6 19+
Curve Equation t 122018v1 [1,0,0,120747,-35447959] 1 122018v2 [1,0,0,-5675108,-5213464816] 1
122018w (1 curve)	2	2- 13+ 19+	2- -1 -4 -2 -3 13+ -6 19+
Curve Equation t Generators 122018w1 [1,1,1,-17449845,28049357851] 1 [-3973:188224:1]&[2449:-4436:1]
122018x (1 curve)	0	2- 13+ 19+	2-  2  0  0 -3 13+  7 19+
Curve Equation t 122018x1 [1,1,1,120747,-6972997] 1
122018y (1 curve)	0	2- 13+ 19+	2-  3  4  2  5 13+  2 19+
Curve Equation t 122018y1 [1,-1,1,-5288718,-65001183971] 1
122018z (1 curve)	0	2- 13+ 19+	2- -3  0  0 -3 13+  2 19+
Curve Equation t 122018z1 [1,-1,1,-36586335,85250561049] 1
122018ba (1 curve)	0	2- 13+ 19+	2- -3 -2  3  2 13+ -1 19+
Curve Equation t 122018ba1 [1,-1,1,-201,-24735] 1
122018bb (2 curves)	1	2- 13+ 19-	2-  0  1 -4 -4 13+  3 19-
Curve Equation t Generators 122018bb1 [1,-1,1,293,-8433] 1 [651:16280:1] 122018bb2 [1,-1,1,-140497,20312257] 1 [271:1308:1]
122018bc (1 curve)	1	2- 13+ 19-	2-  0 -1  1 -5 13+ -1 19-
Curve Equation t Generators 122018bc1 [1,-1,1,-1098363,-442789525] 1 [-605:314:1]
122018bd (1 curve)	1	2- 13+ 19-	2-  0  3 -3  3 13+ -1 19-
Curve Equation t Generators 122018bd1 [1,-1,1,-201,953] 1 [-3:40:1]
122018be (1 curve)	1	2- 13+ 19-	2-  1  1  3  4 13+ -3 19-
Curve Equation t Generators 122018be1 [1,0,0,-61071280,-192774653696] 1 [229776:109963600:1]
122018bf (2 curves)	1	2- 13+ 19-	2-  1  4 -3 -2 13+  3 19-
Curve Equation t Generators 122018bf1 [1,0,0,-1271,-17877367] 1 [15002:1829989:1] 122018bf2 [1,0,0,-4271901,3761630183] 1 [7418420016884513026:898467186562084215257:492702062782168]
122018bg (1 curve)	1	2- 13+ 19-	2- -2 -3  0 -6 13+  7 19-
Curve Equation t Generators 122018bg1 [1,0,0,-2990712,2115424336] 1 [-1338:61678:1]
122018bh (2 curves)	1	2- 13+ 19-	2-  3  1 -1  2 13+ -3 19-
Curve Equation t Generators 122018bh1 [1,-1,1,-163962,-39044807] 1 [82101:4442195:27] 122018bh2 [1,-1,1,-12975852,19742513353] 1 [8118003973652236396737484404828:317100996179713990145327057797057:2229894966137275355448533184]
122018bi (2 curves)	0	2- 13- 19-	2-  1  3  3  0 13- -3 19-
Curve Equation t 122018bi1 [1,0,0,181756,91389752] 1 122018bi2 [1,0,0,-19646169,-34078469959] 1
122018bj (1 curve)	0	2- 13- 19-	2- -1  3 -1 -2 13-  1 19-
Curve Equation t 122018bj1 [1,1,1,-1042767099,120385051390729] 1

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