Cremona's table of elliptic curves

17745 = 3 · 5 · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
17745a (1 curve)	1	3+ 5+ 7+ 13+	0 3+ 5+ 7+  1 13+ -3  4
Curve Equation t Generators 17745a1 [0,-1,1,9,2] 1 [0:1:1]
17745b (1 curve)	1	3+ 5+ 7+ 13+	0 3+ 5+ 7+ -5 13+ -3 -2
Curve Equation t Generators 17745b1 [0,-1,1,-38081,2937287] 1 [113:253:1]
17745c (1 curve)	1	3+ 5+ 7+ 13+	1 3+ 5+ 7+  3 13+  8 -1
Curve Equation t Generators 17745c1 [1,1,0,-56618,-18035103] 1 [31436696:1089244719:24389]
17745d (6 curves)	1	3+ 5+ 7+ 13+	1 3+ 5+ 7+ -4 13+  2  4
Curve Equation t Generators 17745d1 [1,1,0,25347,8534232] 2 [1708:70126:1] 17745d2 [1,1,0,-502778,129263607] 4 [200390:5950343:1000] 17745d3 [1,1,0,-1537903,-576070568] 4 [-1152243170:-19867346429:2197000] 17745d4 [1,1,0,-7917653,8571840282] 2 [2566:70542:1] 17745d5 [1,1,0,-23098078,-42734836763] 2 [-57163872638701270:61066565329027601:20638466407000] 17745d6 [1,1,0,3460272,-3537989073] 2 [45812775052614967410:-4547585700733173651483:4860302544019000]
17745e (1 curve)	1	3+ 5+ 7+ 13+	1 3+ 5+ 7+  5 13+ -4 -5
Curve Equation t Generators 17745e1 [1,1,0,-3,18] 1 [2:4:1]
17745f (1 curve)	1	3+ 5+ 7+ 13+	-2 3+ 5+ 7+  3 13+  5  8
Curve Equation t Generators 17745f1 [0,-1,1,-56,236] 1 [-4:19:1]
17745g (1 curve)	1	3+ 5- 7- 13+	0 3+ 5- 7- -1 13+ -3 -4
Curve Equation t Generators 17745g1 [0,-1,1,1465,10883] 1 [113:1267:1]
17745h (1 curve)	1	3+ 5- 7- 13+	0 3+ 5- 7-  5 13+ -3  2
Curve Equation t Generators 17745h1 [0,-1,1,-225,1406] 1 [0:37:1]
17745i (4 curves)	1	3+ 5- 7- 13+	-1 3+ 5- 7-  0 13+  2  4
Curve Equation t Generators 17745i1 [1,1,1,-39465,-2544690] 2 [-29050:167427:343] 17745i2 [1,1,1,-182270,27501482] 4 [-128:7046:1] 17745i3 [1,1,1,-2851625,1852272560] 4 [-502:56443:1] 17745i4 [1,1,1,202205,128541512] 2 [3135:333047:27]
17745j (1 curve)	1	3+ 5- 7- 13+	-1 3+ 5- 7- -3 13+  8  1
Curve Equation t Generators 17745j1 [1,1,1,-335,-8338] 1 [32:106:1]
17745k (1 curve)	1	3+ 5- 7- 13+	-1 3+ 5- 7- -5 13+ -4  5
Curve Equation t Generators 17745k1 [1,1,1,-595,42362] 1 [70:556:1]
17745l (1 curve)	1	3+ 5- 7- 13+	2 3+ 5- 7- -3 13+  5 -8
Curve Equation t Generators 17745l1 [0,-1,1,-9520,481041] 1 [-7292:17335:64]
17745m (1 curve)	0	3- 5+ 7+ 13+	0 3- 5+ 7+ -1 13+  7 -4
Curve Equation t 17745m1 [0,1,1,-17801,909575] 1
17745n (4 curves)	0	3- 5+ 7+ 13+	-1 3- 5+ 7+  0 13+  2  8
Curve Equation t 17745n1 [1,0,0,-426,3171] 2 17745n2 [1,0,0,-1271,-13560] 4 17745n3 [1,0,0,-19016,-1010829] 2 17745n4 [1,0,0,2954,-83695] 2
17745o (2 curves)	1	3- 5+ 7+ 13-	1 3- 5+ 7+  0 13- -4  2
Curve Equation t Generators 17745o1 [1,0,1,-56619,-5057999] 2 [-761447:449931:4913] 17745o2 [1,0,1,-133514,11612837] 2 [93:4:1]
17745p (2 curves)	1	3- 5+ 7+ 13-	-1 3- 5+ 7+ -6 13- -2  4
Curve Equation t Generators 17745p1 [1,0,0,58724,-824929] 2 [23:722:1] 17745p2 [1,0,0,-237871,-6697510] 2 [-457:2801:1]
17745q (4 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7- -4 13+ -2 -4
Curve Equation t Generators 17745q1 [1,0,0,-24086,-1440765] 2 [611385:996368:3375] 17745q2 [1,0,0,-24931,-1334464] 4 [-91:473:1] 17745q3 [1,0,0,-101826,11137905] 2 [-237:4806:1] 17745q4 [1,0,0,38444,-7000189] 2 [1561:61327:1]
17745r (2 curves)	0	3- 5+ 7- 13-	-1 3- 5+ 7-  0 13-  8 -2
Curve Equation t 17745r1 [1,0,0,-12771756,-15442237305] 2 17745r2 [1,0,0,-197396651,-1067471813994] 2
17745s (4 curves)	1	3- 5- 7+ 13+	1 3- 5- 7+  4 13+  2  0
Curve Equation t Generators 17745s1 [1,0,1,-172553,-27333889] 2 [-5418447:8050421:24389] 17745s2 [1,0,1,-315358,24418643] 4 [-113:7712:1] 17745s3 [1,0,1,-4083213,3172838281] 4 [-325:66987:1] 17745s4 [1,0,1,1167617,188732273] 2 [733064:35091019:512]
17745t (4 curves)	1	3- 5- 7+ 13+	-1 3- 5- 7+  0 13+  2 -4
Curve Equation t Generators 17745t1 [1,0,0,1095,14832] 4 [39:3440:27] 17745t2 [1,0,0,-6510,141075] 4 [-55:605:1] 17745t3 [1,0,0,-39465,-2910558] 2 [-103:305:1] 17745t4 [1,0,0,-95235,11302680] 2 [452:7562:1]
17745u (2 curves)	0	3- 5- 7+ 13-	1 3- 5- 7+  0 13-  8  2
Curve Equation t 17745u1 [1,0,1,-75573,-7034597] 2 17745u2 [1,0,1,-1168028,-485966869] 2
17745v (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7-  1 13+  7  4
Curve Equation t 17745v1 [0,1,1,-3008425,2010370444] 1
17745w (4 curves)	0	3- 5- 7- 13+	-1 3- 5- 7- -4 13+  6 -8
Curve Equation t 17745w1 [1,0,0,-4820,29535] 4 17745w2 [1,0,0,-46225,-3804568] 4 17745w3 [1,0,0,-738280,-244224475] 2 17745w4 [1,0,0,-16650,-8601633] 2
17745x (2 curves)	1	3- 5- 7- 13-	1 3- 5- 7-  6 13- -2 -4
Curve Equation t Generators 17745x1 [1,0,1,347,-349] 2 [37:233:1] 17745x2 [1,0,1,-1408,-3157] 2 [-11:110:1]
17745y (2 curves)	1	3- 5- 7- 13-	-1 3- 5- 7-  0 13- -4 -2
Curve Equation t Generators 17745y1 [1,0,0,-335,-2328] 2 [-11:13:1] 17745y2 [1,0,0,-790,5225] 2 [-25:110:1]

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