Cremona's table of elliptic curves

4998 = 2 · 3 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
4998a (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+  1 7+ -1  2 17+  6
Curve Equation t Generators 4998a1 [1,1,0,-417,3123] 1 [-1:60:1]
4998b (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+  1 7+ -2  1 17-  4
Curve Equation t 4998b1 [1,1,0,-327492,-72248112] 1
4998c (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+  1 7+  3  6 17- -6
Curve Equation t 4998c1 [1,1,0,808,4152] 1
4998d (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  1 7- -1 -5 17+ -8
Curve Equation t 4998d1 [1,1,0,-3392,-110592] 1
4998e (2 curves)	0	2+ 3+ 7- 17+	2+ 3+ -2 7-  2  4 17+ -2
Curve Equation t 4998e1 [1,1,0,-80931,9093645] 2 4998e2 [1,1,0,-1305651,573689565] 2
4998f (2 curves)	0	2+ 3+ 7- 17+	2+ 3+  3 7-  0  1 17+  4
Curve Equation t 4998f1 [1,1,0,-1201,-16043] 1 4998f2 [1,1,0,-13696,606208] 1
4998g (4 curves)	1	2+ 3+ 7- 17-	2+ 3+  0 7-  0 -2 17-  4
Curve Equation t Generators 4998g1 [1,1,0,-12520,-544256] 2 [136:472:1] 4998g2 [1,1,0,-10560,-717912] 2 [5333:386761:1] 4998g3 [1,1,0,-36775,2036917] 2 [13:1243:1] 4998g4 [1,1,0,88665,13050549] 2 [83:4540:1]
4998h (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7-  5  1 17-  4
Curve Equation t Generators 4998h1 [1,1,0,-242,4278] 1 [13:53:1]
4998i (2 curves)	1	2+ 3+ 7- 17-	2+ 3+ -2 7- -4 -2 17-  4
Curve Equation t Generators 4998i1 [1,1,0,-8796,-8236080] 2 [344:5268:1] 4998i2 [1,1,0,-667356,-208043184] 2 [1373:37606:1]
4998j (2 curves)	1	2+ 3+ 7- 17-	2+ 3+ -3 7- -6 -5 17-  4
Curve Equation t Generators 4998j1 [1,1,0,-266109,-52946739] 1 [-298:183:1] 4998j2 [1,1,0,-461724,34374096] 1 [-616:9556:1]
4998k (2 curves)	0	2+ 3- 7+ 17+	2+ 3-  3 7+ -6  5 17+ -4
Curve Equation t 4998k1 [1,0,1,-13039367,18121613402] 3 4998k2 [1,0,1,-22624502,-11858188408] 1
4998l (2 curves)	1	2+ 3- 7+ 17-	2+ 3- -3 7+  0 -1 17- -4
Curve Equation t Generators 4998l1 [1,0,1,-58875,5326150] 3 [-241:2472:1] 4998l2 [1,0,1,-671130,-209942708] 1 [-13137:39323:27]
4998m (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7- -2 -1 17+ -4
Curve Equation t Generators 4998m1 [1,0,1,-16047134,24732961040] 1 [2085:17389:1]
4998n (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7-  3  3 17+ -6
Curve Equation t Generators 4998n1 [1,0,1,-1839,31210] 1 [-10:225:1]
4998o (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7-  3 -6 17+  6
Curve Equation t Generators 4998o1 [1,0,1,16,-10] 1 [8:21:1]
4998p (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7-  5 -1 17+ -4
Curve Equation t Generators 4998p1 [1,0,1,-11884,-1502980] 1 [298:4481:1]
4998q (2 curves)	1	2+ 3- 7- 17+	2+ 3-  2 7- -2 -4 17+  2
Curve Equation t Generators 4998q1 [1,0,1,-1055,-18574] 2 [60:337:1] 4998q2 [1,0,1,-18695,-985246] 2 [228:2458:1]
4998r (2 curves)	1	2+ 3- 7- 17+	2+ 3-  2 7- -4  2 17+ -4
Curve Equation t Generators 4998r1 [1,0,1,-180,23986] 2 [-10:162:1] 4998r2 [1,0,1,-13620,604594] 2 [118:743:1]
4998s (1 curve)	0	2+ 3- 7- 17-	2+ 3- -1 7- -1 -2 17- -6
Curve Equation t 4998s1 [1,0,1,-20459,-1132540] 1
4998t (1 curve)	0	2+ 3- 7- 17-	2+ 3- -1 7- -1  5 17-  8
Curve Equation t 4998t1 [1,0,1,-166234,37434380] 1
4998u (1 curve)	0	2+ 3- 7- 17-	2+ 3- -1 7-  5  1 17-  6
Curve Equation t 4998u1 [1,0,1,-715279,233372738] 1
4998v (2 curves)	0	2+ 3- 7- 17-	2+ 3-  2 7-  2 -4 17-  2
Curve Equation t 4998v1 [1,0,1,-3965645,-3131017144] 2 4998v2 [1,0,1,-63976925,-196967451544] 2
4998w (2 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7- -6  0 17-  2
Curve Equation t 4998w1 [1,0,1,-163392,-28595570] 2 4998w2 [1,0,1,-2703552,-1711197554] 2
4998x (2 curves)	0	2+ 3- 7- 17-	2+ 3-  4 7-  0  6 17- -4
Curve Equation t 4998x1 [1,0,1,-124,-346] 2 4998x2 [1,0,1,366,-2306] 2
4998y (1 curve)	0	2- 3+ 7+ 17+	2- 3+  3 7+ -2  1 17+  0
Curve Equation t 4998y1 [1,1,1,-19944,-187671] 1
4998z (1 curve)	1	2- 3+ 7+ 17-	2- 3+  1 7+  4 -5 17- -8
Curve Equation t Generators 4998z1 [1,1,1,-50,-1] 1 [-1:7:1]
4998ba (1 curve)	1	2- 3+ 7+ 17-	2- 3+  1 7+ -6  0 17- -3
Curve Equation t Generators 4998ba1 [1,1,1,9212930,137302547003] 1 [7127:-755253:1]
4998bb (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -3 7+  2  0 17- -3
Curve Equation t Generators 4998bb1 [1,1,1,-442,3527] 1 [-1:63:1]
4998bc (1 curve)	1	2- 3+ 7- 17+	2- 3+ -1 7- -5  5 17+  4
Curve Equation t Generators 4998bc1 [1,1,1,2694,-49785] 1 [69:651:1]
4998bd (6 curves)	1	2- 3+ 7- 17+	2- 3+  2 7- -4  2 17+ -4
Curve Equation t Generators 4998bd1 [1,1,1,-1667,-24991] 2 [-21:46:1] 4998bd2 [1,1,1,-5587,130241] 4 [13:238:1] 4998bd3 [1,1,1,-84967,9497081] 4 [175:72:1] 4998bd4 [1,1,1,11073,776649] 2 [251:4284:1] 4998bd5 [1,1,1,-1359457,609526973] 2 [5158:7413:8] 4998bd6 [1,1,1,-80557,10532549] 2 [518:18657:8]
4998be (1 curve)	0	2- 3+ 7- 17-	2- 3+  1 7-  0  5 17-  0
Curve Equation t 4998be1 [1,1,1,-85,-337] 1
4998bf (1 curve)	0	2- 3+ 7- 17-	2- 3+  1 7- -3  2 17-  6
Curve Equation t 4998bf1 [1,1,1,216040,-170134567] 1
4998bg (3 curves)	0	2- 3+ 7- 17-	2- 3+  3 7-  3 -5 17- -2
Curve Equation t 4998bg1 [1,1,1,5291,-3995461] 1 4998bg2 [1,1,1,-47629,108046763] 1 4998bg3 [1,1,1,-18703399,31126844279] 1
4998bh (1 curve)	1	2- 3- 7+ 17+	2- 3- -1 7+  0 -5 17+  0
Curve Equation t Generators 4998bh1 [1,0,0,-4166,103032] 1 [4:292:1]
4998bi (1 curve)	1	2- 3- 7+ 17+	2- 3- -1 7+ -3 -2 17+ -6
Curve Equation t Generators 4998bi1 [1,0,0,4409,496649] 1 [662:-17467:1]
4998bj (1 curve)	0	2- 3- 7- 17+	2- 3- -1 7-  4  5 17+  8
Curve Equation t 4998bj1 [1,0,0,-2451,-7071] 1
4998bk (1 curve)	0	2- 3- 7- 17+	2- 3- -1 7- -6  0 17+  3
Curve Equation t 4998bk1 [1,0,0,188019,-400272111] 1
4998bl (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  0  6 17+  0
Curve Equation t 4998bl1 [1,0,0,48,-34560] 2 4998bl2 [1,0,0,-15632,-740160] 4 4998bl3 [1,0,0,-248872,-47807992] 2 4998bl4 [1,0,0,-33272,1231992] 2
4998bm (6 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  4  2 17+ -4
Curve Equation t 4998bm1 [1,0,0,-3441957,-2455067007] 2 4998bm2 [1,0,0,-4445477,-907037055] 4 4998bm3 [1,0,0,-42093157,104393523905] 4 4998bm4 [1,0,0,17145883,-7129667007] 2 4998bm5 [1,0,0,-672211597,6708160798793] 2 4998bm6 [1,0,0,-14337597,240012741177] 2
4998bn (1 curve)	0	2- 3- 7- 17+	2- 3-  3 7-  2  0 17+  3
Curve Equation t 4998bn1 [1,0,0,-21659,-1274799] 1
4998bo (1 curve)	0	2- 3- 7- 17+	2- 3- -3 7- -1 -3 17+  6
Curve Equation t 4998bo1 [1,0,0,48,426] 1
4998bp (1 curve)	1	2- 3- 7- 17-	2- 3-  1 7- -5 -5 17- -4
Curve Equation t Generators 4998bp1 [1,0,0,55,153] 1 [4:19:1]
4998bq (1 curve)	1	2- 3- 7- 17-	2- 3- -3 7-  1 -1 17- -6
Curve Equation t Generators 4998bq1 [1,0,0,-107997,13989681] 1 [1950:83991:1]
4998br (1 curve)	1	2- 3- 7- 17-	2- 3- -3 7- -2 -1 17-  0
Curve Equation t Generators 4998br1 [1,0,0,-407,489] 1 [-2:37:1]

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