Cremona's table of elliptic curves

128271 = 3 · 11 · 13² · 23

Class	r	Atkin-Lehner	Eigenvalues
128271a (2 curves)	1	3+ 11+ 13+ 23+	1 3+ -2  2 11+ 13+  2 -6
Curve Equation t Generators 128271a1 [1,1,0,-91214711,-318046891560] 2 [56771846081157930216678644160878798519116003880844917384816568:-27508040200548018599441167335401562470721872325518077303656983036:241906917708714808492191006258355400767010183232808912461] 128271a2 [1,1,0,-1438417646,-20998420265571] 2 [-272829117519757428584640102893676:187923276591671864705298991905175:12443816705757052430367944091]
128271b (1 curve)	1	3+ 11+ 13+ 23+	1 3+  3 -3 11+ 13+  2 -1
Curve Equation t Generators 128271b1 [1,1,0,-6860051,6973678938] 1 [151570:2546602:125]
128271c (1 curve)	1	3+ 11+ 13+ 23+	1 3+  3  4 11+ 13+ -5 -6
Curve Equation t Generators 128271c1 [1,1,0,-3338936,2346947517] 1 [1068:225:1]
128271d (1 curve)	1	3+ 11+ 13+ 23+	1 3+ -3  0 11+ 13+  2  5
Curve Equation t Generators 128271d1 [1,1,0,-8609,305934] 1 [58:48:1]
128271e (2 curves)	0	3+ 11+ 13+ 23-	1 3+  0  2 11+ 13+  0 -2
Curve Equation t 128271e1 [1,1,0,-3890,-1359873] 2 128271e2 [1,1,0,-209225,-36636426] 2
128271f (1 curve)	1	3+ 11+ 13- 23-	2 3+  0 -4 11+ 13- -6 -6
Curve Equation t Generators 128271f1 [0,-1,1,22,41] 1 [-6:35:8]
128271g (2 curves)	0	3+ 11- 13+ 23+	1 3+ -2  2 11- 13+  2 -6
Curve Equation t 128271g1 [1,1,0,-1401351,-639095400] 2 128271g2 [1,1,0,-1403886,-636670419] 2
128271h (1 curve)	0	3+ 11- 13+ 23+	-1 3+  3  0 11- 13+  2 -5
Curve Equation t 128271h1 [1,1,1,-1455009,679411884] 1
128271i (1 curve)	2	3+ 11- 13+ 23+	-1 3+  3 -1 11- 13+ -2 -3
Curve Equation t Generators 128271i1 [1,1,1,926,14984] 1 [-8:88:1]&[32:264:1]
128271j (1 curve)	2	3+ 11- 13+ 23+	-1 3+ -3 -4 11- 13+ -5  6
Curve Equation t Generators 128271j1 [1,1,1,-19757,1060652] 1 [80:-29:1]&[-12:1144:1]
128271k (1 curve)	1	3+ 11- 13+ 23-	0 3+ -2  2 11- 13+  4  6
Curve Equation t Generators 128271k1 [0,-1,1,-4619,-151864] 1 [3114:60329:8]
128271l (1 curve)	1	3+ 11- 13+ 23-	1 3+ -1  3 11- 13+ -6  1
Curve Equation t Generators 128271l1 [1,1,0,-282233,59825394] 1 [230:-2788:1]
128271m (2 curves)	1	3+ 11- 13+ 23-	1 3+  2  4 11- 13+ -2  0
Curve Equation t Generators 128271m1 [1,1,0,-34479,2571912] 2 [918:2565:8] 128271m2 [1,1,0,-559224,160730055] 2 [1185562:-550621:2744]
128271n (2 curves)	1	3+ 11- 13+ 23-	1 3+ -4 -2 11- 13+  4 -6
Curve Equation t Generators 128271n1 [1,1,0,-43431482,-110269893105] 2 [4766234232515928061752:-512237510358619732786173:320676445353922048] 128271n2 [1,1,0,-695050697,-7053272628930] 2 [-253585390337642:125675684683659:16659527464]
128271o (1 curve)	0	3+ 11- 13- 23-	-2 3+  0  4 11- 13- -6  6
Curve Equation t 128271o1 [0,-1,1,3662,105354] 1
128271p (6 curves)	0	3- 11+ 13+ 23+	1 3-  2  0 11+ 13+  2  4
Curve Equation t 128271p1 [1,0,1,5235,-427061] 2 128271p2 [1,0,1,-63210,-5519369] 4 128271p3 [1,0,1,-238125,38769109] 2 128271p4 [1,0,1,-983415,-375441779] 4 128271p5 [1,0,1,-955530,-397727471] 2 128271p6 [1,0,1,-15734580,-24024509507] 2
128271q (2 curves)	1	3- 11- 13+ 23+	-1 3-  0 -4 11- 13+  0  4
Curve Equation t Generators 128271q1 [1,0,0,-743688,316758519] 2 [495:-8613:1] 128271q2 [1,0,0,-12812823,17650450206] 2 [2445:-31896:1]
128271r (2 curves)	0	3- 11- 13+ 23-	-1 3- -2  2 11- 13+  6  2
Curve Equation t 128271r1 [1,0,0,-11749,-490816] 2 128271r2 [1,0,0,-14284,-264187] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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