Cremona's table of elliptic curves

83259 = 3² · 11 · 29²

Class	r	Atkin-Lehner	Eigenvalues
83259a (2 curves)	1	3+ 11+ 29+	-1 3+  4 -2 11+ -2  2  6
Curve Equation t Generators 83259a1 [1,-1,1,-12773,106084] 2 [-10880:98308:125] 83259a2 [1,-1,1,-126308,-17151236] 2 [-55712735:-55818316:274625]
83259b (2 curves)	1	3+ 11+ 29+	-1 3+ -4  4 11+ -6 -2  2
Curve Equation t Generators 83259b1 [1,-1,1,-7727,-443930] 2 [892:26045:1] 83259b2 [1,-1,1,-146492,-21536210] 2 [25041:670358:27]
83259c (2 curves)	0	3+ 11- 29+	1 3+  4  4 11- -6  2  2
Curve Equation t 83259c1 [1,-1,0,-69540,12055643] 2 83259c2 [1,-1,0,-1318425,582796088] 2
83259d (2 curves)	0	3+ 11- 29+	1 3+ -4 -2 11- -2 -2  6
Curve Equation t 83259d1 [1,-1,0,-1419,-3456] 2 83259d2 [1,-1,0,-14034,639909] 2
83259e (2 curves)	2	3- 11+ 29+	0 3- -3  2 11+ -4  0 -2
Curve Equation t Generators 83259e1 [0,0,1,-174,3487] 1 [25:121:1]&[13:58:1] 83259e2 [0,0,1,-23664,1401142] 1 [88:13:1]&[-38:1498:1]
83259f (2 curves)	0	3- 11+ 29+	1 3-  2 -2 11+  2  6 -4
Curve Equation t 83259f1 [1,-1,0,-3720321,-2757359880] 2 83259f2 [1,-1,0,-2622816,-4417445943] 2
83259g (1 curve)	2	3- 11+ 29+	-1 3-  2 -2 11+  0 -2 -4
Curve Equation t Generators 83259g1 [1,-1,1,16,118] 1 [-1:10:1]&[2:11:1]
83259h (1 curve)	0	3- 11+ 29+	2 3- -1  4 11+  6  4  2
Curve Equation t 83259h1 [0,0,1,-280053,57125135] 1
83259i (1 curve)	2	3- 11+ 29+	-2 3- -1 -2 11+  2  0  8
Curve Equation t Generators 83259i1 [0,0,1,87,1080] 1 [5:-41:1]&[-14:239:8]
83259j (1 curve)	1	3- 11+ 29-	0 3-  2 -3 11+  2  2  5
Curve Equation t Generators 83259j1 [0,0,1,-146334,27760779] 1 [-361:5791:1]
83259k (1 curve)	1	3- 11- 29+	0 3-  2 -3 11-  2 -2 -5
Curve Equation t Generators 83259k1 [0,0,1,-174,1138] 1 [16:49:1]
83259l (4 curves)	1	3- 11- 29+	1 3-  2  4 11- -2 -2  0
Curve Equation t Generators 83259l1 [1,-1,0,-49356,4197339] 2 [4238786:48206047:54872] 83259l2 [1,-1,0,-87201,-3091608] 4 [3515721161856:-28616969033643:10303307776] 83259l3 [1,-1,0,329094,-24322653] 2 [148672470777885226770730:-12809847424171051811915221:20382883445341747000] 83259l4 [1,-1,0,-1109016,-448807311] 2 [-23347290:24095373:39304]
83259m (3 curves)	1	3- 11- 29+	-2 3- -1 -2 11-  4 -2  0
Curve Equation t Generators 83259m1 [0,0,1,-2523,-115848] 1 [1218:42470:1] 83259m2 [0,0,1,-78213,15249222] 1 [-87:4625:1] 83259m3 [0,0,1,-59192103,175284602712] 1 [283620:76499:64]
83259n (2 curves)	0	3- 11- 29-	0 3- -3  2 11- -4  0  2
Curve Equation t 83259n1 [0,0,1,-146334,85050540] 1 83259n2 [0,0,1,-19901424,34172458335] 3
83259o (1 curve)	0	3- 11- 29-	1 3-  2 -2 11-  0  2  4
Curve Equation t 83259o1 [1,-1,0,13719,2980412] 1
83259p (1 curve)	0	3- 11- 29-	2 3- -1 -2 11-  2  0 -8
Curve Equation t 83259p1 [0,0,1,73167,26346217] 1

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