Cremona's table of elliptic curves

83391 = 3 · 7 · 11 · 19²

Class	r	Atkin-Lehner	Eigenvalues
83391a (1 curve)	1	3+ 7+ 11+ 19+	0 3+  0 7+ 11+ -3 -6 19+
Curve Equation t Generators 83391a1 [0,-1,1,-571583,166459610] 1 [2650:29237:8]
83391b (1 curve)	0	3+ 7+ 11+ 19-	0 3+ -1 7+ 11+  4  2 19-
Curve Equation t 83391b1 [0,-1,1,-358780331,1442180061803] 1
83391c (1 curve)	1	3+ 7+ 11- 19-	0 3+  1 7+ 11- -4 -6 19-
Curve Equation t Generators 83391c1 [0,-1,1,-308775,54677765] 1 [-595:5234:1]
83391d (1 curve)	1	3+ 7+ 11- 19-	0 3+  2 7+ 11-  1  2 19-
Curve Equation t Generators 83391d1 [0,-1,1,-1127,-14191] 1 [-19:1:1]
83391e (1 curve)	1	3+ 7+ 11- 19-	0 3+ -4 7+ 11-  1 -1 19-
Curve Equation t Generators 83391e1 [0,-1,1,1359045,-588100063] 1 [14111:1681718:1]
83391f (1 curve)	0	3+ 7- 11+ 19+	-1 3+  1 7- 11+  4  0 19+
Curve Equation t 83391f1 [1,1,1,271645,-27436282] 1
83391g (2 curves)	1	3+ 7- 11+ 19-	0 3+  0 7- 11+ -5 -3 19-
Curve Equation t Generators 83391g1 [0,-1,1,27677,2771019] 1 [2346:48009:8] 83391g2 [0,-1,1,-1001173,387169956] 1 [564:-1264:1]
83391h (4 curves)	1	3+ 7- 11+ 19-	1 3+  2 7- 11+ -2  2 19-
Curve Equation t Generators 83391h1 [1,1,0,-27804,5705955] 2 [-1338039814510:-4289484382905:5959274797] 83391h2 [1,1,0,-679409,214871160] 4 [94391710:28952079989:1000] 83391h3 [1,1,0,-919474,49274323] 2 [4781249186630:-1471282945159447:50653000] 83391h4 [1,1,0,-10865024,13780073217] 4 [11107603989790:3405417447095861:117649000]
83391i (4 curves)	1	3+ 7- 11+ 19-	-1 3+ -2 7- 11+  2  6 19-
Curve Equation t Generators 83391i1 [1,1,1,1256,1022792] 2 [94304:1570449:343] 83391i2 [1,1,1,-144949,20731226] 4 [1136:35814:1] 83391i3 [1,1,1,-323644,-40739854] 2 [-192:3886:1] 83391i4 [1,1,1,-2305534,1346466182] 2 [644:11049:1]
83391j (1 curve)	1	3+ 7- 11+ 19-	-2 3+ -1 7- 11+  4 -4 19-
Curve Equation t Generators 83391j1 [0,-1,1,-417436,-103669470] 1 [-127876:370:343]
83391k (1 curve)	1	3+ 7- 11- 19+	-2 3+ -1 7- 11-  4  6 19+
Curve Equation t Generators 83391k1 [0,-1,1,-1716,-15730] 1 [-25:104:1]
83391l (4 curves)	0	3+ 7- 11- 19-	-1 3+  2 7- 11- -2 -2 19-
Curve Equation t 83391l1 [1,1,1,-37819992,89506334664] 4 83391l2 [1,1,1,-37908437,89066550746] 4 83391l3 [1,1,1,-10275692,216177177746] 2 83391l4 [1,1,1,-66956302,-66188478106] 2
83391m (2 curves)	0	3+ 7- 11- 19-	2 3+  1 7- 11- -4  8 19-
Curve Equation t 83391m1 [0,-1,1,-675190,-213101205] 1 83391m2 [0,-1,1,-18945400,31731716595] 1
83391n (1 curve)	1	3- 7+ 11+ 19-	0 3-  0 7+ 11+  3 -6 19-
Curve Equation t Generators 83391n1 [0,1,1,-1583,-24769] 1 [-23:1:1]
83391o (1 curve)	1	3- 7+ 11- 19+	0 3-  2 7+ 11- -1  2 19+
Curve Equation t Generators 83391o1 [0,1,1,-406967,99775904] 1 [352:511:1]
83391p (1 curve)	1	3- 7- 11+ 19+	1 3-  1 7- 11+ -4  0 19+
Curve Equation t Generators 83391p1 [1,0,1,752,4079] 1 [49:374:1]
83391q (1 curve)	0	3- 7- 11+ 19-	0 3-  1 7- 11+  0 -6 19-
Curve Equation t 83391q1 [0,1,1,-1925,-24712] 1
83391r (6 curves)	2	3- 7- 11+ 19-	1 3- -2 7- 11+ -6  2 19-
Curve Equation t Generators 83391r1 [1,0,1,-12282,-524729] 2 [511:11000:1]&[67557:3342280:27] 83391r2 [1,0,1,-14087,-360835] 4 [-810:1787:8]&[-39:379:1] 83391r3 [1,0,1,45478,-2600479] 2 [353:7404:1]&[7630:237321:8] 83391r4 [1,0,1,-102532,12375245] 4 [-65:4364:1]&[79:2144:1] 83391r5 [1,0,1,11183,38347751] 2 [278:49675:8]&[2798:72385:8] 83391r6 [1,0,1,-1631367,801865639] 2 [-1357:23421:1]&[467:11679:1]
83391s (1 curve)	0	3- 7- 11+ 19-	2 3-  3 7- 11+ -4  0 19-
Curve Equation t 83391s1 [0,1,1,-156794,21049385] 1
83391t (1 curve)	0	3- 7- 11- 19+	2 3- -1 7- 11- -4  6 19+
Curve Equation t 83391t1 [0,1,1,-619596,111607679] 1

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