Cremona's table of elliptic curves

20672 = 2⁶ · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
20672a (2 curves)	1	2+ 17+ 19+	2+  0  2 -2  2  6 17+ 19+
Curve Equation t Generators 20672a1 [0,0,0,-25964,1605552] 2 [56:572:1] 20672a2 [0,0,0,-415084,102932400] 2 [502568:250380:1331]
20672b (2 curves)	1	2+ 17+ 19+	2+  0 -2 -2  2 -6 17+ 19+
Curve Equation t Generators 20672b1 [0,0,0,-31,60] 2 [8:18:1] 20672b2 [0,0,0,-116,-416] 2 [-6:8:1]
20672c (2 curves)	1	2+ 17+ 19+	2+  0  4  2  0 -2 17+ 19+
Curve Equation t Generators 20672c1 [0,0,0,-5588,140640] 2 [230:3320:1] 20672c2 [0,0,0,8852,747120] 2 [26945:444963:125]
20672d (2 curves)	1	2+ 17+ 19+	2+  0 -4 -2 -4 -6 17+ 19+
Curve Equation t Generators 20672d1 [0,0,0,-8012,-275600] 2 [-51:19:1] 20672d2 [0,0,0,-5452,-454800] 2 [168:1836:1]
20672e (2 curves)	1	2+ 17+ 19+	2+  2  2  0  0 -2 17+ 19+
Curve Equation t Generators 20672e1 [0,-1,0,3,-115] 2 [27981:171080:729] 20672e2 [0,-1,0,-337,-2223] 2 [153:1872:1]
20672f (1 curve)	1	2+ 17+ 19+	2+ -3  2  4  2 -6 17+ 19+
Curve Equation t Generators 20672f1 [0,0,0,-184,2218] 1 [-1:49:1]
20672g (2 curves)	2	2+ 17+ 19-	2+  0 -2  2 -2 -6 17+ 19-
Curve Equation t Generators 20672g1 [0,0,0,-31,-60] 2 [12:36:1]&[64:510:1] 20672g2 [0,0,0,-116,416] 2 [-11:19:1]&[-10:24:1]
20672h (2 curves)	0	2+ 17+ 19-	2+  0  4 -2  0 -2 17+ 19-
Curve Equation t 20672h1 [0,0,0,-5588,-140640] 2 20672h2 [0,0,0,8852,-747120] 2
20672i (1 curve)	0	2+ 17+ 19-	2+  1 -2  0 -2 -2 17+ 19-
Curve Equation t 20672i1 [0,1,0,-64149,6232307] 1
20672j (1 curve)	0	2+ 17+ 19-	2+ -1  2  4 -2 -6 17+ 19-
Curve Equation t 20672j1 [0,-1,0,43,13] 1
20672k (2 curves)	0	2+ 17+ 19-	2+  2 -4  4 -2  6 17+ 19-
Curve Equation t 20672k1 [0,-1,0,-15425,738881] 2 20672k2 [0,-1,0,-246465,47177921] 2
20672l (2 curves)	0	2+ 17+ 19-	2+ -2 -2  0  4 -2 17+ 19-
Curve Equation t 20672l1 [0,1,0,-4929,-24545] 2 20672l2 [0,1,0,19391,-175329] 2
20672m (4 curves)	2	2+ 17- 19+	2+  0 -2  0 -4 -2 17- 19+
Curve Equation t Generators 20672m1 [0,0,0,-431,-3444] 2 [24:6:1]&[5316:46761:64] 20672m2 [0,0,0,-436,-3360] 4 [-12:12:1]&[186:2520:1] 20672m3 [0,0,0,-1196,11536] 4 [10:24:1]&[64:444:1] 20672m4 [0,0,0,244,-12880] 2 [22:56:1]&[56:420:1]
20672n (4 curves)	0	2+ 17- 19+	2+  2  0  2  0 -2 17- 19+
Curve Equation t 20672n1 [0,-1,0,-9793,268353] 2 20672n2 [0,-1,0,-58433,-5208511] 2 20672n3 [0,-1,0,-292673,-60829375] 2 20672n4 [0,-1,0,-4682433,-3898357567] 2
20672o (2 curves)	0	2+ 17- 19+	2+  2 -4  2  4 -2 17- 19+
Curve Equation t 20672o1 [0,-1,0,-225,-799] 2 20672o2 [0,-1,0,-3265,-70719] 2
20672p (2 curves)	2	2+ 17- 19+	2+ -2  0 -2  0 -6 17- 19+
Curve Equation t Generators 20672p1 [0,1,0,-73,-9] 2 [-5:16:1]&[-1:8:1] 20672p2 [0,1,0,-833,8959] 2 [-33:40:1]&[-17:136:1]
20672q (1 curve)	0	2+ 17- 19+	2+  3  0  0 -6 -4 17- 19+
Curve Equation t 20672q1 [0,0,0,-10,14] 1
20672r (4 curves)	1	2+ 17- 19-	2+  0 -2  0  4 -2 17- 19-
Curve Equation t Generators 20672r1 [0,0,0,-431,3444] 2 [156:1932:1] 20672r2 [0,0,0,-436,3360] 4 [-22:48:1] 20672r3 [0,0,0,-1196,-11536] 2 [-11:17:1] 20672r4 [0,0,0,244,12880] 4 [-142:435:8]
20672s (2 curves)	1	2+ 17- 19-	2+  2  0  2  0 -6 17- 19-
Curve Equation t Generators 20672s1 [0,-1,0,-73,9] 2 [0:3:1] 20672s2 [0,-1,0,-833,-8959] 2 [595:14484:1]
20672t (1 curve)	1	2+ 17- 19-	2+ -3  0  0  6 -4 17- 19-
Curve Equation t Generators 20672t1 [0,0,0,-10,-14] 1 [9:25:1]
20672u (1 curve)	0	2- 17+ 19+	2-  1  2 -4  2 -6 17+ 19+
Curve Equation t 20672u1 [0,1,0,43,-13] 1
20672v (1 curve)	0	2- 17+ 19+	2- -1 -2  0  2 -2 17+ 19+
Curve Equation t 20672v1 [0,-1,0,-64149,-6232307] 1
20672w (2 curves)	0	2- 17+ 19+	2-  2 -2  0 -4 -2 17+ 19+
Curve Equation t 20672w1 [0,-1,0,-4929,24545] 2 20672w2 [0,-1,0,19391,175329] 2
20672x (2 curves)	0	2- 17+ 19+	2- -2 -4 -4  2  6 17+ 19+
Curve Equation t 20672x1 [0,1,0,-15425,-738881] 2 20672x2 [0,1,0,-246465,-47177921] 2
20672y (2 curves)	1	2- 17+ 19-	2-  0  2  2 -2  6 17+ 19-
Curve Equation t Generators 20672y1 [0,0,0,-25964,-1605552] 2 [247984:208316:1331] 20672y2 [0,0,0,-415084,-102932400] 2 [330080432:-164376289860:1331]
20672z (2 curves)	1	2- 17+ 19-	2-  0 -4  2  4 -6 17+ 19-
Curve Equation t Generators 20672z1 [0,0,0,-8012,275600] 2 [32:228:1] 20672z2 [0,0,0,-5452,454800] 2 [242:3648:1]
20672ba (2 curves)	1	2- 17+ 19-	2- -2  2  0  0 -2 17+ 19-
Curve Equation t Generators 20672ba1 [0,1,0,3,115] 2 [11:40:1] 20672ba2 [0,1,0,-337,2223] 2 [7:16:1]
20672bb (1 curve)	1	2- 17+ 19-	2-  3  2 -4 -2 -6 17+ 19-
Curve Equation t Generators 20672bb1 [0,0,0,-184,-2218] 1 [285406539:408066083:15438249]
20672bc (2 curves)	1	2- 17- 19+	2-  0  0  4  2 -2 17- 19+
Curve Equation t Generators 20672bc1 [0,0,0,-6500,-201664] 2 [125:969:1] 20672bc2 [0,0,0,-5740,-250608] 2 [704:18564:1]
20672bd (1 curve)	1	2- 17- 19+	2-  1  4 -4  2  4 17- 19+
Curve Equation t Generators 20672bd1 [0,1,0,29,127] 1 [78:695:1]
20672be (2 curves)	2	2- 17- 19-	2-  0  0 -4 -2 -2 17- 19-
Curve Equation t Generators 20672be1 [0,0,0,-6500,201664] 2 [-30:608:1]&[28:204:1] 20672be2 [0,0,0,-5740,250608] 2 [-28:624:1]&[-24:612:1]
20672bf (1 curve)	0	2- 17- 19-	2- -1  4  4 -2  4 17- 19-
Curve Equation t 20672bf1 [0,-1,0,29,-127] 1
20672bg (4 curves)	2	2- 17- 19-	2- -2  0 -2  0 -2 17- 19-
Curve Equation t Generators 20672bg1 [0,1,0,-9793,-268353] 2 [-79:136:1]&[-62:323:1] 20672bg2 [0,1,0,-58433,5208511] 2 [-145:3264:1]&[111:320:1] 20672bg3 [0,1,0,-292673,60829375] 2 [97:5776:1]&[306:133:1] 20672bg4 [0,1,0,-4682433,3898357567] 2 [943:17952:1]&[1199:3040:1]
20672bh (2 curves)	2	2- 17- 19-	2- -2 -4 -2 -4 -2 17- 19-
Curve Equation t Generators 20672bh1 [0,1,0,-225,799] 2 [-15:32:1]&[-1:32:1] 20672bh2 [0,1,0,-3265,70719] 2 [-65:112:1]&[-1:272:1]

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