Cremona's table of elliptic curves

17850 = 2 · 3 · 5² · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
17850a (4 curves)	1	2+ 3+ 5+ 7+ 17+	2+ 3+ 5+ 7+ -4  6 17+ -4
Curve Equation t Generators 17850a1 [1,1,0,390600,31752000] 2 [31240:3809555:512] 17850a2 [1,1,0,-1657400,259080000] 4 [11440:1210280:1] 17850a3 [1,1,0,-14985400,-22145288000] 2 [-122785942:-692898955:54872] 17850a4 [1,1,0,-21097400,37253400000] 2 [93950:9450175:8]
17850b (8 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+  0 -2 17- -4
Curve Equation t 17850b1 [1,1,0,-808150,332972500] 2 17850b2 [1,1,0,-13608150,19315372500] 4 17850b3 [1,1,0,5815850,-2265075500] 2 17850b4 [1,1,0,-14288150,17277412500] 2 17850b5 [1,1,0,-217728150,1236482932500] 4 17850b6 [1,1,0,-25434150,-18921325500] 4 17850b7 [1,1,0,-332496650,-2332023138000] 2 17850b8 [1,1,0,-218371650,1228805487000] 4
17850c (2 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+  0  4 17-  2
Curve Equation t 17850c1 [1,1,0,350,-980] 1 17850c2 [1,1,0,-6400,-204290] 1
17850d (1 curve)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+ -2  2 17- -4
Curve Equation t 17850d1 [1,1,0,-185950,52736500] 1
17850e (3 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+  3 -5 17-  2
Curve Equation t 17850e1 [1,1,0,2700,1458000] 1 17850e2 [1,1,0,-24300,-39393000] 1 17850e3 [1,1,0,-9542550,-11350418250] 1
17850f (4 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+  4  2 17-  8
Curve Equation t 17850f1 [1,1,0,-275,-19875] 2 17850f2 [1,1,0,-12775,-557375] 4 17850f3 [1,1,0,-204025,-35556125] 2 17850f4 [1,1,0,-21525,291375] 2
17850g (1 curve)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  0  0 17+ -6
Curve Equation t 17850g1 [1,1,0,-2950,-63500] 1
17850h (2 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  4  0 17+  8
Curve Equation t 17850h1 [1,1,0,-45,-675] 2 17850h2 [1,1,0,-1445,-21675] 2
17850i (1 curve)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+ -4  4 17+  6
Curve Equation t 17850i1 [1,1,0,-19160575,32275277125] 1
17850j (2 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  6  4 17+ -4
Curve Equation t 17850j1 [1,1,0,-2450,-73500] 2 17850j2 [1,1,0,-44950,-3686000] 2
17850k (1 curve)	1	2+ 3+ 5- 7+ 17-	2+ 3+ 5- 7+  2  4 17-  3
Curve Equation t Generators 17850k1 [1,1,0,-3425,76725] 1 [130:1295:1]
17850l (1 curve)	1	2+ 3+ 5- 7+ 17-	2+ 3+ 5- 7+ -5 -6 17-  7
Curve Equation t Generators 17850l1 [1,1,0,380300,-61646000] 1 [259:7240:1]
17850m (2 curves)	1	2+ 3+ 5- 7- 17+	2+ 3+ 5- 7- -2  4 17+  4
Curve Equation t Generators 17850m1 [1,1,0,1786300,-689886000] 2 [9340440:533858036:3375] 17850m2 [1,1,0,-9093700,-6184286000] 2 [-35880:1627940:27]
17850n (1 curve)	0	2+ 3- 5+ 7+ 17+	2+ 3- 5+ 7+ -1 -3 17+ -6
Curve Equation t 17850n1 [1,0,1,24,-152] 1
17850o (6 curves)	0	2+ 3- 5+ 7+ 17+	2+ 3- 5+ 7+  4  2 17+  4
Curve Equation t 17850o1 [1,0,1,-1756101,894452848] 2 17850o2 [1,0,1,-2268101,330228848] 4 17850o3 [1,0,1,-21476101,-38047355152] 4 17850o4 [1,0,1,8747899,2599524848] 2 17850o5 [1,0,1,-342965101,-2444714009152] 2 17850o6 [1,0,1,-7315101,-87469245152] 2
17850p (4 curves)	0	2+ 3- 5+ 7+ 17+	2+ 3- 5+ 7+ -4  6 17+  0
Curve Equation t 17850p1 [1,0,1,-25376,-1523602] 2 17850p2 [1,0,1,-57376,3084398] 4 17850p3 [1,0,1,-807376,279084398] 2 17850p4 [1,0,1,180624,22124398] 2
17850q (4 curves)	1	2+ 3- 5+ 7+ 17-	2+ 3- 5+ 7+  0  2 17-  0
Curve Equation t Generators 17850q1 [1,0,1,349,47198] 2 [-18:196:1] 17850q2 [1,0,1,-17651,875198] 4 [-13:1056:1] 17850q3 [1,0,1,-43151,-2235802] 2 [-64:546:1] 17850q4 [1,0,1,-280151,57050198] 2 [497:6126:1]
17850r (4 curves)	1	2+ 3- 5+ 7+ 17-	2+ 3- 5+ 7+  0  2 17- -8
Curve Equation t Generators 17850r1 [1,0,1,56724,-969302] 2 [32:921:1] 17850r2 [1,0,1,-231276,-7881302] 4 [3872:237126:1] 17850r3 [1,0,1,-2781276,-1782681302] 2 [108624:6111362:27] 17850r4 [1,0,1,-2289276,1325702698] 2 [1117:12191:1]
17850s (4 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7-  0  6 17+  0
Curve Equation t Generators 17850s1 [1,0,1,24,12598] 2 [2:111:1] 17850s2 [1,0,1,-7976,268598] 4 [-18:646:1] 17850s3 [1,0,1,-16976,-451402] 2 [-42:454:1] 17850s4 [1,0,1,-126976,17404598] 2 [208:-46:1]
17850t (1 curve)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7- -2  0 17+  1
Curve Equation t Generators 17850t1 [1,0,1,-46,-352] 1 [13:29:1]
17850u (6 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7-  4 -6 17+  4
Curve Equation t Generators 17850u1 [1,0,1,76499,7916648] 2 [1932:84871:1] 17850u2 [1,0,1,-435501,74476648] 4 [142:3866:1] 17850u3 [1,0,1,-2747501,-1696515352] 4 [-1068:4996:1] 17850u4 [1,0,1,-6315501,6107356648] 2 [1486:1367:1] 17850u5 [1,0,1,-43564501,-110677905352] 2 [-3812:2252:1] 17850u6 [1,0,1,1077499,-6049365352] 2 [1932:55996:1]
17850v (1 curve)	0	2+ 3- 5+ 7- 17-	2+ 3- 5+ 7-  1 -1 17-  6
Curve Equation t 17850v1 [1,0,1,-55101,-5106152] 1
17850w (1 curve)	0	2+ 3- 5- 7+ 17-	2+ 3- 5- 7+  1  6 17-  1
Curve Equation t 17850w1 [1,0,1,-306701,65591048] 1
17850x (2 curves)	0	2+ 3- 5- 7+ 17-	2+ 3- 5- 7+ -4 -4 17- -4
Curve Equation t 17850x1 [1,0,1,-451,-7702] 2 17850x2 [1,0,1,-9201,-340202] 2
17850y (2 curves)	0	2+ 3- 5- 7- 17+	2+ 3- 5- 7- -3  2 17+ -1
Curve Equation t 17850y1 [1,0,1,549,11548] 3 17850y2 [1,0,1,-5076,-359702] 1
17850z (2 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7- -2  0 17- -4
Curve Equation t Generators 17850z1 [1,0,1,4939,66368] 2 [51:646:1] 17850z2 [1,0,1,-22261,555968] 2 [-53:1286:1]
17850ba (2 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7- -6 -4 17- -1
Curve Equation t Generators 17850ba1 [1,0,1,3174,400048] 3 [-49:381:1] 17850ba2 [1,0,1,-28701,-11074952] 1 [451:8006:1]
17850bb (4 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  0  4 17+  2
Curve Equation t 17850bb1 [1,1,1,13412,-67219] 2 17850bb2 [1,1,1,-54088,-607219] 2 17850bb3 [1,1,1,-196963,-35486719] 2 17850bb4 [1,1,1,-3196963,-2201486719] 2
17850bc (4 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  0  6 17+  0
Curve Equation t 17850bc1 [1,1,1,-1282313,558367031] 4 17850bc2 [1,1,1,-1314313,528991031] 4 17850bc3 [1,1,1,-4716313,-3356092969] 2 17850bc4 [1,1,1,1575687,2534651031] 2
17850bd (2 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+ -6  0 17+ -6
Curve Equation t 17850bd1 [1,1,1,55062,35844531] 2 17850bd2 [1,1,1,-1351188,575844531] 2
17850be (2 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+ -6  4 17+ -1
Curve Equation t 17850be1 [1,1,1,127,3251] 1 17850be2 [1,1,1,-1148,-89059] 1
17850bf (4 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  0  4 17-  2
Curve Equation t Generators 17850bf1 [1,1,1,-449938,116032031] 2 [305:2547:1] 17850bf2 [1,1,1,-7199938,7433032031] 2 [1519:1263:1] 17850bf3 [1,1,1,365687,472207031] 2 [-145:20472:1] 17850bf4 [1,1,1,-7314313,7184527031] 2 [-209:93400:1]
17850bg (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+ -3 -2 17- -1
Curve Equation t Generators 17850bg1 [1,1,1,22,101] 1 [-18:59:8] 17850bg2 [1,1,1,-203,-2959] 1 [21:40:1]
17850bh (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+  4 -4 17- -6
Curve Equation t Generators 17850bh1 [1,1,1,-438,-5469] 2 [55:347:1] 17850bh2 [1,1,1,-7938,-275469] 2 [105:197:1]
17850bi (4 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+ -6 -2 17-  8
Curve Equation t Generators 17850bi1 [1,1,1,787,124031] 2 [155:1922:1] 17850bi2 [1,1,1,-32963,2216531] 2 [1510:12541:8] 17850bi3 [1,1,1,-7088,-3356719] 2 [225:2437:1] 17850bi4 [1,1,1,-382088,-90356719] 2 [-361:1013:1]
17850bj (1 curve)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  1 -6 17+  1
Curve Equation t Generators 17850bj1 [1,1,1,-12268,519821] 1 [89:-423:1]
17850bk (2 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7-  2  6 17- -4
Curve Equation t 17850bk1 [1,1,1,-2188,42281] 2 17850bk2 [1,1,1,-35938,2607281] 2
17850bl (4 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7- -4 -6 17- -4
Curve Equation t 17850bl1 [1,1,1,328937,-353899219] 4 17850bl2 [1,1,1,-5943063,-5233515219] 4 17850bl3 [1,1,1,-93443063,-347708515219] 2 17850bl4 [1,1,1,-18795063,25071500781] 2
17850bm (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+ -2  0 17+ -4
Curve Equation t Generators 17850bm1 [1,1,1,123487,8296031] 2 [185:6032:1] 17850bm2 [1,1,1,-556513,69496031] 2 [-715:10482:1]
17850bn (1 curve)	0	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+ -2  0 17-  1
Curve Equation t 17850bn1 [1,1,1,-1138,-43969] 1
17850bo (2 curves)	0	2- 3+ 5- 7- 17+	2- 3+ 5- 7- -4  4 17+ -4
Curve Equation t 17850bo1 [1,1,1,-18,-69] 2 17850bo2 [1,1,1,-368,-2869] 2
17850bp (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  2  2 17+ -4
Curve Equation t Generators 17850bp1 [1,0,0,2037,42417] 2 [32:359:1] 17850bp2 [1,0,0,-12963,417417] 2 [92:29:1]
17850bq (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  2 -4 17+  6
Curve Equation t Generators 17850bq1 [1,0,0,-33688,-2397508] 2 [332:4634:1] 17850bq2 [1,0,0,-539938,-152753758] 2 [9406:226897:8]
17850br (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -2 -4 17+ -2
Curve Equation t Generators 17850br1 [1,0,0,-538,6692] 2 [2:74:1] 17850br2 [1,0,0,-9538,357692] 2 [26:344:1]
17850bs (4 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -4  2 17+  0
Curve Equation t Generators 17850bs1 [1,0,0,-621438,114375492] 2 [732:-7566:1] 17850bs2 [1,0,0,-8813438,10067655492] 4 [2692:-77846:1] 17850bs3 [1,0,0,-141005438,644457063492] 2 [6868:-1670:1] 17850bs4 [1,0,0,-7693438,12720935492] 2 [1172:72314:1]
17850bt (1 curve)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  5  1 17- -6
Curve Equation t 17850bt1 [1,0,0,-364938,-85100508] 1
17850bu (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  2 -4 17+  3
Curve Equation t 17850bu1 [1,0,0,-85638,9761892] 1
17850bv (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -2 -2 17+ -4
Curve Equation t 17850bv1 [1,0,0,-12656188,17329388492] 2 17850bv2 [1,0,0,-202499938,1109120794742] 2
17850bw (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -2  6 17+  4
Curve Equation t 17850bw1 [1,0,0,-63938,-6248508] 2 17850bw2 [1,0,0,-1023938,-398888508] 2
17850bx (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  3  3 17+  6
Curve Equation t 17850bx1 [1,0,0,-938,-11508] 1
17850by (4 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  4 -2 17+ -4
Curve Equation t 17850by1 [1,0,0,-1063,12617] 2 17850by2 [1,0,0,-3063,-49383] 4 17850by3 [1,0,0,-45563,-3746883] 2 17850by4 [1,0,0,7437,-311883] 2
17850bz (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -4 -4 17+  6
Curve Equation t 17850bz1 [1,0,0,11756662,204348608292] 2 17850bz2 [1,0,0,-456993338,3635129858292] 2
17850ca (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -5  6 17+  7
Curve Equation t 17850ca1 [1,0,0,15212,-493168] 1
17850cb (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0  0 17- -6
Curve Equation t Generators 17850cb1 [1,0,0,-118,-508] 1 [16:34:1]
17850cc (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0  0 17- -6
Curve Equation t Generators 17850cc1 [1,0,0,-13188,62494992] 2 [42:7854:1] 17850cc2 [1,0,0,-2443188,1450024992] 2 [-642:52800:1]
17850cd (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  2 -4 17- -6
Curve Equation t Generators 17850cd1 [1,0,0,-42088,-8694208] 2 [512:9944:1] 17850cd2 [1,0,0,-942088,-351594208] 2 [-574:644:1]
17850ce (1 curve)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -4 -4 17-  6
Curve Equation t Generators 17850ce1 [1,0,0,-766423,258202217] 1 [1526:-52171:1]
17850cf (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -6  0 17- -2
Curve Equation t Generators 17850cf1 [1,0,0,-83363,10409217] 2 [742:-19271:1] 17850cf2 [1,0,0,-1379363,623417217] 2 [982:-15191:1]
17850cg (2 curves)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+ -2 -4 17-  4
Curve Equation t Generators 17850cg1 [1,0,0,71452,-5519088] 2 [712:-20516:1] 17850cg2 [1,0,0,-363748,-49474288] 2 [-448:5084:1]
17850ch (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0 -4 17+  2
Curve Equation t Generators 17850ch1 [1,0,0,8737,-139983] 3 [16:55:1] 17850ch2 [1,0,0,-160013,-25216233] 1 [3878:24815:8]
17850ci (1 curve)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -2 -2 17+ -4
Curve Equation t Generators 17850ci1 [1,0,0,-7438,421892] 1 [-88:674:1]
17850cj (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  4  0 17-  8
Curve Equation t 17850cj1 [1,0,0,-1138,-82108] 2 17850cj2 [1,0,0,-36138,-2637108] 2
17850ck (2 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  6 -4 17- -4
Curve Equation t 17850ck1 [1,0,0,-98,-588] 2 17850ck2 [1,0,0,-1798,-29488] 2

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