Cremona's table of elliptic curves

80496 = 2⁴ · 3² · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
80496a (1 curve)	1	2+ 3+ 13+ 43+	2+ 3+  3  4 -4 13+  0 -5
Curve Equation t Generators 80496a1 [0,0,0,-51,-302] 1 [47:318:1]
80496b (1 curve)	1	2+ 3+ 13+ 43+	2+ 3+ -3  4  4 13+  0 -5
Curve Equation t Generators 80496b1 [0,0,0,-459,8154] 1 [-15:108:1]
80496c (2 curves)	0	2+ 3+ 13+ 43-	2+ 3+  2 -4  6 13+ -4  4
Curve Equation t 80496c1 [0,0,0,126,127] 2 80496c2 [0,0,0,-519,1030] 2
80496d (2 curves)	0	2+ 3+ 13+ 43-	2+ 3+ -2 -4 -6 13+  4  4
Curve Equation t 80496d1 [0,0,0,1134,-3429] 2 80496d2 [0,0,0,-4671,-27810] 2
80496e (1 curve)	0	2+ 3+ 13- 43+	2+ 3+  1 -4 -4 13- -4  3
Curve Equation t 80496e1 [0,0,0,-938414187,-11064710608902] 1
80496f (1 curve)	0	2+ 3+ 13- 43+	2+ 3+ -1 -4  4 13-  4  3
Curve Equation t 80496f1 [0,0,0,-104268243,409804096626] 1
80496g (2 curves)	1	2+ 3+ 13- 43-	2+ 3+  2  2  0 13- -4  6
Curve Equation t Generators 80496g1 [0,0,0,-159,990] 2 [10:20:1] 80496g2 [0,0,0,-2739,55170] 2 [27:30:1]
80496h (2 curves)	1	2+ 3+ 13- 43-	2+ 3+ -2  2  0 13-  4  6
Curve Equation t Generators 80496h1 [0,0,0,-1431,-26730] 2 [46858:523270:343] 80496h2 [0,0,0,-24651,-1489590] 2 [547:12194:1]
80496i (2 curves)	0	2+ 3- 13+ 43+	2+ 3- -2  2  0 13+ -6  0
Curve Equation t 80496i1 [0,0,0,-27291,-1579750] 2 80496i2 [0,0,0,33549,-7627246] 2
80496j (2 curves)	0	2+ 3- 13+ 43+	2+ 3- -2 -2  2 13+  6  2
Curve Equation t 80496j1 [0,0,0,-426,-2369] 2 80496j2 [0,0,0,-6231,-189290] 2
80496k (2 curves)	0	2+ 3- 13+ 43+	2+ 3- -2 -2 -2 13+  6  2
Curve Equation t 80496k1 [0,0,0,-7553946,4202480279] 2 80496k2 [0,0,0,-104154951,408980011430] 2
80496l (1 curve)	1	2+ 3- 13+ 43-	2+ 3- -1  2 -4 13+  4  5
Curve Equation t Generators 80496l1 [0,0,0,4317,-391934] 1 [71:522:1]
80496m (2 curves)	1	2+ 3- 13+ 43-	2+ 3-  2  2  2 13+ -2  2
Curve Equation t Generators 80496m1 [0,0,0,-282279,-57725210] 2 [3018061:-4071240:4913] 80496m2 [0,0,0,-284619,-56719478] 2 [1481:52632:1]
80496n (2 curves)	1	2+ 3- 13+ 43-	2+ 3-  2 -2  2 13+ -2 -2
Curve Equation t Generators 80496n1 [0,0,0,-3639,83990] 2 [53:200:1] 80496n2 [0,0,0,-5979,-37222] 2 [-31:344:1]
80496o (2 curves)	1	2+ 3- 13+ 43-	2+ 3- -4 -4  2 13+ -2 -4
Curve Equation t Generators 80496o1 [0,0,0,-72102,7451935] 2 [159:-86:1] 80496o2 [0,0,0,-71967,7481230] 2 [77:1548:1]
80496p (1 curve)	1	2+ 3- 13+ 43-	2+ 3- -4  5 -3 13+  2 -2
Curve Equation t Generators 80496p1 [0,0,0,-147,-1550] 1 [21:68:1]
80496q (4 curves)	1	2+ 3- 13- 43+	2+ 3- -2  0  0 13-  6 -4
Curve Equation t Generators 80496q1 [0,0,0,-4026,-237629] 2 [676368:7771855:4096] 80496q2 [0,0,0,-87231,-9906050] 4 [666:15080:1] 80496q3 [0,0,0,-110451,-4217150] 4 [-274:2340:1] 80496q4 [0,0,0,-1395291,-634373894] 2 [183870:2783768:125]
80496r (2 curves)	1	2+ 3- 13- 43+	2+ 3- -4  2  4 13- -2 -6
Curve Equation t Generators 80496r1 [0,0,0,-6462,-199665] 2 [471:10062:1] 80496r2 [0,0,0,-4527,-321570] 2 [142:1378:1]
80496s (2 curves)	2	2+ 3- 13- 43-	2+ 3-  0 -2  0 13- -2 -2
Curve Equation t Generators 80496s1 [0,0,0,90,-297] 2 [7:26:1]&[211:3068:1] 80496s2 [0,0,0,-495,-2754] 2 [-18:18:1]&[-15:36:1]
80496t (4 curves)	0	2+ 3- 13- 43-	2+ 3-  2  0  4 13-  6  4
Curve Equation t 80496t1 [0,0,0,-5034,-137473] 2 80496t2 [0,0,0,-5079,-134890] 4 80496t3 [0,0,0,1941,-478870] 2 80496t4 [0,0,0,-12819,374402] 2
80496u (4 curves)	2	2+ 3- 13- 43-	2+ 3- -2 -4  4 13- -2  0
Curve Equation t Generators 80496u1 [0,0,0,654,16031] 2 [-1:124:1]&[35:286:1] 80496u2 [0,0,0,-6951,197030] 4 [-47:648:1]&[-14:540:1] 80496u3 [0,0,0,-28011,-1601494] 2 [-119:216:1]&[265:3096:1] 80496u4 [0,0,0,-107571,13579490] 2 [-317:3978:1]&[-53:4374:1]
80496v (2 curves)	0	2- 3+ 13+ 43+	2- 3+  2  0 -2 13+  4 -8
Curve Equation t 80496v1 [0,0,0,-65259,-6416550] 2 80496v2 [0,0,0,-63099,-6861078] 2
80496w (2 curves)	2	2- 3+ 13+ 43+	2- 3+ -2  0  2 13+ -4 -8
Curve Equation t Generators 80496w1 [0,0,0,-7251,237650] 2 [-98:84:1]&[47:26:1] 80496w2 [0,0,0,-7011,254114] 2 [-55:688:1]&[31:-258:1]
80496x (2 curves)	1	2- 3+ 13+ 43-	2- 3+  2 -2  2 13+ -8 -4
Curve Equation t Generators 80496x1 [0,0,0,-49059,4071330] 2 [145:80:1] 80496x2 [0,0,0,-779139,264709890] 2 [537:1080:1]
80496y (2 curves)	1	2- 3+ 13+ 43-	2- 3+  2 -4 -4 13+  0 -6
Curve Equation t Generators 80496y1 [0,0,0,-955179,-296685990] 2 [-422:5590:1] 80496y2 [0,0,0,-4549419,3462170202] 2 [70002:6368085:8]
80496z (2 curves)	1	2- 3+ 13+ 43-	2- 3+ -2 -2 -2 13+  8 -4
Curve Equation t Generators 80496z1 [0,0,0,-5451,-150790] 2 [-43:64:1] 80496z2 [0,0,0,-86571,-9804070] 2 [346:1290:1]
80496ba (2 curves)	1	2- 3+ 13+ 43-	2- 3+ -2 -4  4 13+  0 -6
Curve Equation t Generators 80496ba1 [0,0,0,-106131,10988370] 2 [327:3354:1] 80496ba2 [0,0,0,-505491,-128228526] 2 [-455:2752:1]
80496bb (2 curves)	1	2- 3- 13+ 43+	2- 3-  0  4  6 13+  2  4
Curve Equation t Generators 80496bb1 [0,0,0,-480,3247] 2 [-158:567:8] 80496bb2 [0,0,0,-2415,-42806] 2 [6726:103922:27]
80496bc (2 curves)	1	2- 3- 13+ 43+	2- 3- -2  0  0 13+  2 -4
Curve Equation t Generators 80496bc1 [0,0,0,4884,34531] 2 [2050:34047:8] 80496bc2 [0,0,0,-20271,281050] 2 [59478:852533:216]
80496bd (2 curves)	1	2- 3- 13+ 43+	2- 3- -2  0 -4 13+  2  4
Curve Equation t Generators 80496bd1 [0,0,0,-1011,-68110] 2 [97:864:1] 80496bd2 [0,0,0,-31971,-2191966] 2 [226:1458:1]
80496be (2 curves)	0	2- 3- 13+ 43-	2- 3-  0  4  2 13+  2 -4
Curve Equation t 80496be1 [0,0,0,-17040,-115697] 2 80496be2 [0,0,0,-173775,27751786] 2
80496bf (1 curve)	0	2- 3- 13+ 43-	2- 3-  1 -2  4 13+ -4 -7
Curve Equation t 80496bf1 [0,0,0,-23547,-1465558] 1
80496bg (2 curves)	0	2- 3- 13+ 43-	2- 3-  2 -2  6 13+  6  6
Curve Equation t 80496bg1 [0,0,0,-5979,-99830] 2 80496bg2 [0,0,0,-43419,3412042] 2
80496bh (2 curves)	2	2- 3- 13+ 43-	2- 3- -2 -2 -2 13+  6  2
Curve Equation t Generators 80496bh1 [0,0,0,-1011,-1550] 2 [-25:90:1]&[-18:104:1] 80496bh2 [0,0,0,-10371,404674] 2 [65:72:1]&[71:162:1]
80496bi (2 curves)	0	2- 3- 13+ 43-	2- 3- -2 -2  6 13+  6 -6
Curve Equation t 80496bi1 [0,0,0,-656850531,6395163529570] 2 80496bi2 [0,0,0,-10471521891,412441858232674] 2
80496bj (2 curves)	0	2- 3- 13+ 43-	2- 3- -2  4  0 13+ -6  0
Curve Equation t 80496bj1 [0,0,0,-31971,-2447390] 2 80496bj2 [0,0,0,-527331,-147389726] 2
80496bk (2 curves)	0	2- 3- 13+ 43-	2- 3- -2  4  4 13+  2  8
Curve Equation t 80496bk1 [0,0,0,-1596,28811] 2 80496bk2 [0,0,0,-26751,1684010] 2
80496bl (1 curve)	0	2- 3- 13+ 43-	2- 3-  3 -2 -4 13+ -4 -1
Curve Equation t 80496bl1 [0,0,0,-337971,-75625742] 1
80496bm (2 curves)	0	2- 3- 13+ 43-	2- 3-  4  0  2 13+  2  0
Curve Equation t 80496bm1 [0,0,0,-3288,-72205] 2 80496bm2 [0,0,0,-5223,22610] 2
80496bn (3 curves)	0	2- 3- 13- 43+	2- 3-  0  1  3 13- -6 -2
Curve Equation t 80496bn1 [0,0,0,-11235,460514] 1 80496bn2 [0,0,0,29085,2452322] 1 80496bn3 [0,0,0,-280515,-97845694] 1
80496bo (2 curves)	0	2- 3- 13- 43+	2- 3-  2  4  0 13-  6  8
Curve Equation t 80496bo1 [0,0,0,-6204,185443] 2 80496bo2 [0,0,0,-399,518650] 2
80496bp (2 curves)	1	2- 3- 13- 43-	2- 3-  0 -2  4 13- -2  6
Curve Equation t Generators 80496bp1 [0,0,0,-16680,-822629] 2 [837:23908:1] 80496bp2 [0,0,0,-266295,-52892318] 2 [58212:1368733:64]
80496bq (1 curve)	1	2- 3- 13- 43-	2- 3- -3 -2  4 13- -8 -3
Curve Equation t Generators 80496bq1 [0,0,0,1941,28186] 1 [-1:162:1]

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