Cremona's table of elliptic curves

22785 = 3 · 5 · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
22785a (2 curves)	1	3+ 5+ 7- 31-	1 3+ 5+ 7-  6  0  4 -4
Curve Equation t Generators 22785a1 [1,1,0,202247,13200832] 2 [384:11960:1] 22785a2 [1,1,0,-869628,108168957] 2 [16638:675231:8]
22785b (1 curve)	1	3+ 5+ 7- 31-	-1 3+ 5+ 7- -2  6  4 -4
Curve Equation t Generators 22785b1 [1,1,1,1749,34698] 1 [42:408:1]
22785c (6 curves)	1	3+ 5+ 7- 31-	-1 3+ 5+ 7-  4 -6 -2 -4
Curve Equation t Generators 22785c1 [1,1,1,-32096,-3994432] 2 [251:1834:1] 22785c2 [1,1,1,-620341,-188232766] 4 [35622:2319485:8] 22785c3 [1,1,1,-728386,-118306042] 4 [5319:380128:1] 22785c4 [1,1,1,-9924216,-12037647966] 2 [-138669593048:69398540621:76225024] 22785c5 [1,1,1,2487239,-875907292] 2 [4731:339409:1] 22785c6 [1,1,1,-5672731,5116766444] 2 [43854:2958347:8]
22785d (2 curves)	1	3+ 5+ 7- 31-	-1 3+ 5+ 7- -4  2  2  8
Curve Equation t Generators 22785d1 [1,1,1,-70631,7195628] 2 [126:499:1] 22785d2 [1,1,1,-70526,7218224] 2 [181:560:1]
22785e (4 curves)	1	3+ 5+ 7- 31-	-1 3+ 5+ 7- -4 -2  6  4
Curve Equation t Generators 22785e1 [1,1,1,-491,3968] 2 [14:2:1] 22785e2 [1,1,1,-736,-736] 4 [-22:84:1] 22785e3 [1,1,1,2939,-2206] 2 [13:189:1] 22785e4 [1,1,1,-8331,-295422] 2 [-53:53:1]
22785f (2 curves)	1	3+ 5- 7- 31+	0 3+ 5- 7-  3  4  3  1
Curve Equation t Generators 22785f1 [0,-1,1,-180875,-23347969] 1 [-315:1507:1] 22785f2 [0,-1,1,-4646735,3855028148] 1 [1164:4687:1]
22785g (1 curve)	1	3+ 5- 7- 31+	1 3+ 5- 7- -2 -2  0  4
Curve Equation t Generators 22785g1 [1,1,0,3,-6] 1 [14:48:1]
22785h (1 curve)	1	3+ 5- 7- 31+	2 3+ 5- 7-  1  2 -5  5
Curve Equation t Generators 22785h1 [0,-1,1,-380,2981] 1 [90:11:8]
22785i (2 curves)	1	3- 5+ 7+ 31-	0 3- 5+ 7+  3 -4 -3 -1
Curve Equation t Generators 22785i1 [0,1,1,-3691,67015] 3 [-61:262:1] 22785i2 [0,1,1,-94831,-11266244] 1 [-38658:15517:216]
22785j (1 curve)	1	3- 5+ 7+ 31-	1 3- 5+ 7+ -2  2  0 -4
Curve Equation t Generators 22785j1 [1,0,1,121,2447] 1 [-545:5571:125]
22785k (1 curve)	1	3- 5+ 7+ 31-	2 3- 5+ 7+  1 -2  5 -5
Curve Equation t Generators 22785k1 [0,1,1,-18636,-985309] 1 [-5052:703:64]
22785l (2 curves)	1	3- 5+ 7- 31+	1 3- 5+ 7-  2  0  4 -4
Curve Equation t Generators 22785l1 [1,0,1,-3478389,2552699587] 2 [341:37329:1] 22785l2 [1,0,1,-56000264,161294814587] 2 [1341:297004:1]
22785m (2 curves)	1	3- 5+ 7- 31+	1 3- 5+ 7- -4  0 -2  8
Curve Equation t Generators 22785m1 [1,0,1,-369,-6569] 2 [125:1317:1] 22785m2 [1,0,1,-7964,-273913] 2 [-51:40:1]
22785n (4 curves)	1	3- 5+ 7- 31+	-1 3- 5+ 7-  0 -2  2  4
Curve Equation t Generators 22785n1 [1,0,0,-6861,194760] 4 [-87:411:1] 22785n2 [1,0,0,-26706,-1476189] 4 [-114:357:1] 22785n3 [1,0,0,41649,-7778520] 2 [20262:1012695:8] 22785n4 [1,0,0,-412581,-102035214] 2 [-2970:1827:8]
22785o (6 curves)	1	3- 5+ 7- 31+	-1 3- 5+ 7-  4  2  6 -4
Curve Equation t Generators 22785o1 [1,0,0,-927081,-343654704] 2 [471705:27686871:125] 22785o2 [1,0,0,-927326,-343464045] 4 [-545:625:1] 22785o3 [1,0,0,-695801,-519098910] 2 [14890:1806520:1] 22785o4 [1,0,0,-1162771,-155626024] 4 [-661:18338:1] 22785o5 [1,0,0,4373984,-1208716825] 2 [4178:297911:1] 22785o6 [1,0,0,-10466646,12920039901] 2 [-969:149322:1]
22785p (1 curve)	1	3- 5- 7+ 31+	-1 3- 5- 7+ -2 -6 -4  4
Curve Equation t Generators 22785p1 [1,0,0,85700,-11644375] 1 [935:-30235:1]
22785q (4 curves)	0	3- 5- 7- 31+	-1 3- 5- 7-  4  6  2 -4
Curve Equation t 22785q1 [1,0,0,-283270,57673475] 4 22785q2 [1,0,0,-461875,-23877568] 4 22785q3 [1,0,0,1807070,-188602975] 2 22785q4 [1,0,0,-5588500,-5077704493] 2
22785r (2 curves)	0	3- 5- 7- 31+	-1 3- 5- 7- -4 -2 -2 -8
Curve Equation t 22785r1 [1,0,0,-3460920,-2478483225] 2 22785r2 [1,0,0,-3455775,-2486218218] 2

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