Cremona's table of elliptic curves

17400 = 2³ · 3 · 5² · 29

Class	r	Atkin-Lehner	Eigenvalues
17400a (1 curve)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  1 -3  7 -3 -6
Curve Equation t Generators 17400a1 [0,-1,0,-108,837] 1 [2:25:1]
17400b (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+ -2  2  2  6 -6
Curve Equation t Generators 17400b1 [0,-1,0,-908,1812] 2 [-23:100:1] 17400b2 [0,-1,0,3592,10812] 2 [26:348:1]
17400c (1 curve)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  4  2 -4 -6  0
Curve Equation t Generators 17400c1 [0,-1,0,-7155208,10909146412] 1 [5429431320785:230428193405112:3833037125]
17400d (6 curves)	0	2+ 3+ 5+ 29-	2+ 3+ 5+  0 -4  2  6  4
Curve Equation t 17400d1 [0,-1,0,-4404383,3559221012] 2 17400d2 [0,-1,0,-4404508,3559009012] 4 17400d3 [0,-1,0,-4769008,2935714012] 4 17400d4 [0,-1,0,-4042008,4168734012] 2 17400d5 [0,-1,0,-27476008,-53059747988] 2 17400d6 [0,-1,0,12105992,19034464012] 2
17400e (1 curve)	0	2+ 3+ 5+ 29-	2+ 3+ 5+  3  5  5  3 -8
Curve Equation t 17400e1 [0,-1,0,-8,-3363] 1
17400f (2 curves)	0	2+ 3+ 5- 29+	2+ 3+ 5- -4  2  2  2  4
Curve Equation t 17400f1 [0,-1,0,-2208,20412] 2 17400f2 [0,-1,0,-17208,-849588] 2
17400g (2 curves)	1	2+ 3+ 5- 29-	2+ 3+ 5- -2 -4 -4  2 -4
Curve Equation t Generators 17400g1 [0,-1,0,-31583,-2139588] 2 [392:6750:1] 17400g2 [0,-1,0,-49708,615412] 2 [717:18250:1]
17400h (2 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0  4  2  6
Curve Equation t 17400h1 [0,1,0,-1008,-10512] 2 17400h2 [0,1,0,1992,-58512] 2
17400i (2 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  2  6 -6  6  6
Curve Equation t 17400i1 [0,1,0,-730908,239342688] 2 17400i2 [0,1,0,-366408,478454688] 2
17400j (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+  3 -2 -4 -5  5
Curve Equation t 17400j1 [0,1,0,-148008,21877488] 1
17400k (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+  3  3  1  5  0
Curve Equation t 17400k1 [0,1,0,45492,-5071887] 1
17400l (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+ -3  1 -1  1 -4
Curve Equation t 17400l1 [0,1,0,-908,-12687] 1
17400m (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+  1 -1  3 -1  2
Curve Equation t Generators 17400m1 [0,1,0,592,-687] 1 [48:375:1]
17400n (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+ -2  2  0  2 -4
Curve Equation t Generators 17400n1 [0,1,0,-17408,-687312] 2 [-77:450:1] 17400n2 [0,1,0,-260408,-51231312] 2 [-293:18:1]
17400o (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+ -3 -5 -1  7  2
Curve Equation t Generators 17400o1 [0,1,0,1392,-174087] 1 [348:6525:1]
17400p (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5-  0  2 -4 -6  6
Curve Equation t Generators 17400p1 [0,1,0,-428,-3552] 2 [24:24:1] 17400p2 [0,1,0,-328,-5152] 2 [52:348:1]
17400q (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5-  2  1  4 -4 -4
Curve Equation t Generators 17400q1 [0,1,0,167,-30037] 1 [83:750:1]
17400r (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5-  3 -2  1  0 -5
Curve Equation t Generators 17400r1 [0,1,0,24367,-1517037] 1 [163:2610:1]
17400s (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -4 -2  4  2  2
Curve Equation t Generators 17400s1 [0,1,0,-35228,2533248] 2 [103:90:1] 17400s2 [0,1,0,-35128,2548448] 2 [44:1044:1]
17400t (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  2  0  4  2 -8
Curve Equation t 17400t1 [0,1,0,-1583,5838] 2 17400t2 [0,1,0,-19708,1057088] 2
17400u (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+ -1 -2 -4 -7  7
Curve Equation t 17400u1 [0,-1,0,192,-2388] 1
17400v (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+  2  1  2  8 -2
Curve Equation t 17400v1 [0,-1,0,-11633,557637] 1
17400w (2 curves)	0	2- 3+ 5+ 29+	2- 3+ 5+  2 -2  2  2 -2
Curve Equation t 17400w1 [0,-1,0,-29908,-1980188] 2 17400w2 [0,-1,0,-25408,-2601188] 2
17400x (2 curves)	0	2- 3+ 5+ 29+	2- 3+ 5+  2  6 -6  2 -2
Curve Equation t 17400x1 [0,-1,0,-1015908,394459812] 2 17400x2 [0,-1,0,-1011408,398122812] 2
17400y (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+ -3  1 -1 -3 -2
Curve Equation t 17400y1 [0,-1,0,-305408,-64863063] 1
17400z (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+ -3 -2 -1  0 -5
Curve Equation t 17400z1 [0,-1,0,609167,-190847963] 1
17400ba (4 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  0  0  2  2  0
Curve Equation t Generators 17400ba1 [0,-1,0,-2383,44512] 2 [37:75:1] 17400ba2 [0,-1,0,-5508,-92988] 4 [-43:250:1] 17400ba3 [0,-1,0,-78008,-8357988] 2 [-159:18:1] 17400ba4 [0,-1,0,16992,-677988] 4 [137:2050:1]
17400bb (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+ -1 -3 -3 -1 -8
Curve Equation t Generators 17400bb1 [0,-1,0,-100908,12374937] 1 [152:725:1]
17400bc (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  2 -2 -4  6  8
Curve Equation t Generators 17400bc1 [0,-1,0,-30408,2050812] 2 [77:400:1] 17400bc2 [0,-1,0,-33408,1624812] 2 [53:16:1]
17400bd (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+  2  3  6 -4 -2
Curve Equation t Generators 17400bd1 [0,-1,0,-5348033,-4894471563] 1 [8347:729350:1]
17400be (4 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+ -4  4  2 -6 -4
Curve Equation t Generators 17400be1 [0,-1,0,-16383,442512] 4 [132:750:1] 17400be2 [0,-1,0,-121508,-15956988] 4 [-203:550:1] 17400be3 [0,-1,0,-1934008,-1034581988] 2 [13178:125631:8] 17400be4 [0,-1,0,8992,-48581988] 2 [841:23518:1]
17400bf (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+  5 -5 -1  3 -4
Curve Equation t Generators 17400bf1 [0,-1,0,292,537] 1 [12:75:1]
17400bg (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5-  0  2  4  6  6
Curve Equation t Generators 17400bg1 [0,-1,0,-10708,-422588] 2 [-59:18:1] 17400bg2 [0,-1,0,-8208,-627588] 2 [441:9018:1]
17400bh (1 curve)	1	2- 3+ 5- 29+	2- 3+ 5- -2  1 -4  4 -4
Curve Equation t Generators 17400bh1 [0,-1,0,7,-243] 1 [7:10:1]
17400bi (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5-  4 -2 -4 -2  2
Curve Equation t Generators 17400bi1 [0,-1,0,-880708,318417412] 2 [526:648:1] 17400bi2 [0,-1,0,-878208,320312412] 2 [4458:15309:8]
17400bj (2 curves)	2	2- 3+ 5- 29-	2- 3+ 5- -2  0 -4 -2 -8
Curve Equation t Generators 17400bj1 [0,-1,0,-63,72] 2 [-7:11:1]&[-3:15:1] 17400bj2 [0,-1,0,-788,8772] 2 [-28:90:1]&[8:54:1]
17400bk (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  1 -3 -1  1  0
Curve Equation t Generators 17400bk1 [0,1,0,-2208,39213] 1 [18:75:1]
17400bl (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -2  6 -4 -2  0
Curve Equation t Generators 17400bl1 [0,1,0,-32008,-2192512] 2 [368:6000:1] 17400bl2 [0,1,0,-59008,2019488] 2 [803:21750:1]
17400bm (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+ -2 -5 -2 -4 -6
Curve Equation t 17400bm1 [0,1,0,-159633,39771363] 1
17400bn (4 curves)	0	2- 3- 5+ 29-	2- 3- 5+  4  4 -2  2  0
Curve Equation t 17400bn1 [0,1,0,-1508,19488] 4 17400bn2 [0,1,0,-6008,-160512] 4 17400bn3 [0,1,0,-93008,-10948512] 2 17400bn4 [0,1,0,8992,-820512] 2
17400bo (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  4  2 -2 -2  4
Curve Equation t 17400bo1 [0,1,0,-88,128] 2 17400bo2 [0,1,0,-688,-7072] 2
17400bp (1 curve)	0	2- 3- 5- 29+	2- 3- 5- -4  2  4  6  0
Curve Equation t 17400bp1 [0,1,0,-286208,87158688] 1
17400bq (2 curves)	1	2- 3- 5- 29-	2- 3- 5-  2 -4  4 -2 -4
Curve Equation t Generators 17400bq1 [0,1,0,-1263,-17622] 2 [-21:9:1] 17400bq2 [0,1,0,-1988,4128] 2 [-38:162:1]

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