Cremona's table of elliptic curves

36309 = 3 · 7² · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
36309a (1 curve)	1	3+ 7+ 13- 19-	1 3+  3 7+ -3 13-  6 19-
Curve Equation t Generators 36309a1 [1,1,0,-1936,37423] 1 [22:67:1]
36309b (3 curves)	0	3+ 7- 13+ 19+	0 3+  0 7-  3 13+  6 19+
Curve Equation t 36309b1 [0,-1,1,-16823,-839770] 1 36309b2 [0,-1,1,49327,-4513741] 1 36309b3 [0,-1,1,-485753,202575596] 1
36309c (1 curve)	1	3+ 7- 13+ 19-	0 3+ -1 7- -3 13+  3 19-
Curve Equation t Generators 36309c1 [0,-1,1,-261,-8485] 1 [27:58:1]
36309d (1 curve)	1	3+ 7- 13+ 19-	0 3+  4 7- -3 13+ -2 19-
Curve Equation t Generators 36309d1 [0,-1,1,-634811,194890289] 1 [-443:19722:1]
36309e (1 curve)	1	3+ 7- 13+ 19-	-1 3+  1 7-  3 13+  0 19-
Curve Equation t Generators 36309e1 [1,1,1,-130880,20448434] 1 [258:1855:1]
36309f (1 curve)	1	3+ 7- 13+ 19-	2 3+ -2 7- -3 13+ -3 19-
Curve Equation t Generators 36309f1 [0,-1,1,-34414,-2449665] 1 [1118984:52104719:512]
36309g (4 curves)	1	3+ 7- 13- 19+	1 3+  2 7-  4 13- -2 19+
Curve Equation t Generators 36309g1 [1,1,0,906,167175] 2 [202:2839:1] 36309g2 [1,1,0,-40499,3024120] 4 [50730:526865:216] 36309g3 [1,1,0,-101014,-8219567] 2 [926460102:503676659:2628072] 36309g4 [1,1,0,-642464,197940387] 2 [36506022:66535799:74088]
36309h (1 curve)	1	3+ 7- 13- 19+	-1 3+  1 7-  5 13-  2 19+
Curve Equation t Generators 36309h1 [1,1,1,-1319760,-584116716] 1 [236472008:5311334356:148877]
36309i (2 curves)	1	3+ 7- 13- 19+	-1 3+  2 7- -2 13-  2 19+
Curve Equation t Generators 36309i1 [1,1,1,-3265067,2270434256] 2 [1000:2072:1] 36309i2 [1,1,1,-52247182,145337395748] 2 [4166:-1323:1]
36309j (2 curves)	1	3+ 7- 13- 19+	-1 3+ -2 7-  2 13- -4 19+
Curve Equation t Generators 36309j1 [1,1,1,-1324,-1324] 2 [-28:135:1] 36309j2 [1,1,1,5291,-3970] 2 [34:-483:1]
36309k (2 curves)	1	3+ 7- 13- 19+	-1 3+ -4 7-  4 13-  2 19+
Curve Equation t Generators 36309k1 [1,1,1,-505,-4474] 2 [-14:16:1] 36309k2 [1,1,1,-1170,8826] 2 [-32:137:1]
36309l (1 curve)	0	3+ 7- 13- 19-	1 3+ -3 7-  0 13-  6 19-
Curve Equation t 36309l1 [1,1,0,-256099,53079286] 1
36309m (1 curve)	0	3+ 7- 13- 19-	-1 3+ -1 7-  5 13-  8 19-
Curve Equation t 36309m1 [1,1,1,-981,-45228] 1
36309n (2 curves)	0	3+ 7- 13- 19-	-1 3+  2 7-  2 13- -4 19-
Curve Equation t 36309n1 [1,1,1,-82517,9014186] 2 36309n2 [1,1,1,-22982,21826118] 2
36309o (4 curves)	0	3+ 7- 13- 19-	-1 3+  2 7- -4 13-  2 19-
Curve Equation t 36309o1 [1,1,1,-19552,787184] 4 36309o2 [1,1,1,-107997,-13045614] 4 36309o3 [1,1,1,73548,-52259334] 2 36309o4 [1,1,1,-1704662,-857362066] 2
36309p (1 curve)	0	3+ 7- 13- 19-	2 3+ -1 7-  5 13- -7 19-
Curve Equation t 36309p1 [0,-1,1,4972014,-19809239857] 1
36309q (1 curve)	0	3+ 7- 13- 19-	2 3+  2 7- -1 13-  2 19-
Curve Equation t 36309q1 [0,-1,1,-702,11213] 1
36309r (1 curve)	1	3- 7+ 13+ 19-	-1 3- -1 7+  5 13+ -2 19-
Curve Equation t Generators 36309r1 [1,0,0,-64668241,200158028804] 1 [4583:4748:1]
36309s (1 curve)	1	3- 7+ 13- 19+	2 3-  2 7+ -3 13-  3 19+
Curve Equation t Generators 36309s1 [0,1,1,-702,6941] 1 [90:191:8]
36309t (4 curves)	1	3- 7- 13+ 19+	1 3- -2 7- -4 13+  6 19+
Curve Equation t Generators 36309t1 [1,0,1,-15902,-773125] 2 [75912:149213:512] 36309t2 [1,0,1,-16147,-748135] 4 [-71:239:1] 36309t3 [1,0,1,12518,-3110131] 2 [3254:64975:8] 36309t4 [1,0,1,-48732,3214201] 2 [-157:2724:1]
36309u (1 curve)	1	3- 7- 13+ 19+	1 3- -3 7- -3 13+ -6 19+
Curve Equation t Generators 36309u1 [1,0,1,-40,-115] 1 [19:68:1]
36309v (1 curve)	1	3- 7- 13+ 19+	-2 3-  2 7- -3 13+ -6 19+
Curve Equation t Generators 36309v1 [0,1,1,-30592,-2156066] 1 [317:4483:1]
36309w (1 curve)	0	3- 7- 13+ 19-	1 3-  3 7-  4 13+ -2 19-
Curve Equation t 36309w1 [1,0,1,272953,15099347] 1
36309x (2 curves)	0	3- 7- 13+ 19-	-1 3- -2 7- -2 13+ -2 19-
Curve Equation t 36309x1 [1,0,0,-66634,-6628861] 2 36309x2 [1,0,0,-1066269,-423876510] 2
36309y (2 curves)	0	3- 7- 13+ 19-	-1 3-  4 7-  4 13+ -2 19-
Curve Equation t 36309y1 [1,0,0,-24746,1460283] 2 36309y2 [1,0,0,-57331,-3199372] 2
36309z (1 curve)	0	3- 7- 13- 19+	1 3- -1 7-  0 13- -6 19+
Curve Equation t 36309z1 [1,0,1,-124,683] 1
36309ba (4 curves)	1	3- 7- 13- 19-	-1 3- -2 7-  0 13-  2 19-
Curve Equation t Generators 36309ba1 [1,0,0,-10634,-415437] 2 [-57:108:1] 36309ba2 [1,0,0,-22639,691424] 4 [-101:1447:1] 36309ba3 [1,0,0,75116,5090399] 2 [46:2917:1] 36309ba4 [1,0,0,-312474,67179573] 4 [57:7011:1]

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