Cremona's table of elliptic curves

84525 = 3 · 5² · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
84525a (1 curve)	1	3+ 5+ 7+ 23+	0 3+ 5+ 7+ -2  3 -2  3
Curve Equation t Generators 84525a1 [0,-1,1,8167,2835818] 1 [82:-2013:1]
84525b (1 curve)	1	3+ 5+ 7+ 23+	0 3+ 5+ 7+  4  0 -2  0
Curve Equation t Generators 84525b1 [0,-1,1,-320133,-69958582] 1 [768:11686:1]
84525c (1 curve)	1	3+ 5+ 7+ 23+	1 3+ 5+ 7+ -2  1 -1  0
Curve Equation t Generators 84525c1 [1,1,0,-17175,861750] 1 [854:24270:1]
84525d (1 curve)	1	3+ 5+ 7+ 23+	1 3+ 5+ 7+ -2 -7  3 -8
Curve Equation t Generators 84525d1 [1,1,0,-44125,-4528250] 1 [72570:1574002:125]
84525e (1 curve)	2	3+ 5+ 7+ 23-	0 3+ 5+ 7+  0 -4 -6  0
Curve Equation t Generators 84525e1 [0,-1,1,17967,15011093] 1 [-219:724:1]&[287:6612:1]
84525f (2 curves)	0	3+ 5+ 7+ 23-	0 3+ 5+ 7+  6 -5  6 -1
Curve Equation t 84525f1 [0,-1,1,-371583,87324068] 1 84525f2 [0,-1,1,142917,303542693] 1
84525g (1 curve)	2	3+ 5+ 7+ 23-	0 3+ 5+ 7+ -6 -4  3 -6
Curve Equation t Generators 84525g1 [0,-1,1,91467,-4668532] 1 [572:15312:1]&[132:3112:1]
84525h (1 curve)	0	3+ 5+ 7+ 23-	-2 3+ 5+ 7+  6  7  0 -7
Curve Equation t 84525h1 [0,-1,1,-5790717508,174119249970168] 1
84525i (1 curve)	0	3+ 5+ 7- 23+	0 3+ 5+ 7- -3  0 -2 -7
Curve Equation t 84525i1 [0,-1,1,-120847883,-631219383082] 1
84525j (1 curve)	0	3+ 5+ 7- 23+	0 3+ 5+ 7-  4  0  5  0
Curve Equation t 84525j1 [0,-1,1,-895883,326684168] 1
84525k (1 curve)	0	3+ 5+ 7- 23+	0 3+ 5+ 7-  4  6 -4  3
Curve Equation t 84525k1 [0,-1,1,327,114113] 1
84525l (1 curve)	2	3+ 5+ 7- 23+	0 3+ 5+ 7-  5 -4 -2  3
Curve Equation t Generators 84525l1 [0,-1,1,-583,-5307] 1 [33:101:1]&[47:262:1]
84525m (1 curve)	0	3+ 5+ 7- 23+	0 3+ 5+ 7- -6  6 -2 -4
Curve Equation t 84525m1 [0,-1,1,-215833,46627818] 1
84525n (1 curve)	0	3+ 5+ 7- 23+	1 3+ 5+ 7- -1  1 -4 -7
Curve Equation t 84525n1 [1,1,0,-934700,-344422875] 1
84525o (1 curve)	0	3+ 5+ 7- 23+	-1 3+ 5+ 7- -3  2  4  1
Curve Equation t 84525o1 [1,1,1,-12398,-537874] 1
84525p (1 curve)	0	3+ 5+ 7- 23+	2 3+ 5+ 7- -3  2  4 -5
Curve Equation t 84525p1 [0,-1,1,-5658,410843] 1
84525q (1 curve)	1	3+ 5+ 7- 23-	0 3+ 5+ 7-  2  4 -3 -2
Curve Equation t Generators 84525q1 [0,-1,1,280117,-257236582] 1 [17288656:1971835835:1331]
84525r (4 curves)	1	3+ 5+ 7- 23-	1 3+ 5+ 7-  4 -6 -2  0
Curve Equation t Generators 84525r1 [1,1,0,-99250,10594375] 2 [50:2375:1] 84525r2 [1,1,0,-399375,-86346000] 4 [-61230:472615:216] 84525r3 [1,1,0,586750,-444309375] 2 [113069551904:-2913182403331:160989184] 84525r4 [1,1,0,-6187500,-5926564125] 2 [32570:5844115:1]
84525s (1 curve)	1	3+ 5+ 7- 23-	1 3+ 5+ 7-  5  1  8 -1
Curve Equation t Generators 84525s1 [1,1,0,-747765,-249194070] 1 [-113442066:64152540:226981]
84525t (1 curve)	1	3+ 5+ 7- 23-	-2 3+ 5+ 7-  2 -2  5  2
Curve Equation t Generators 84525t1 [0,-1,1,36342,3710468] 1 [72:-2588:1]
84525u (1 curve)	1	3+ 5+ 7- 23-	-2 3+ 5+ 7-  3  2 -4  1
Curve Equation t Generators 84525u1 [0,-1,1,-32262008,70542593918] 1 [26234:339:8]
84525v (1 curve)	2	3+ 5- 7+ 23+	1 3+ 5- 7+ -2 -2 -7  2
Curve Equation t Generators 84525v1 [1,1,0,33050,230875] 1 [62:5555:8]&[10:745:1]
84525w (1 curve)	1	3+ 5- 7+ 23-	0 3+ 5- 7+ -6  6 -2  4
Curve Equation t Generators 84525w1 [0,-1,1,-423033,-127608307] 1 [817:8452:1]
84525x (2 curves)	1	3+ 5- 7- 23+	0 3+ 5- 7- -6 -5  0 -5
Curve Equation t Generators 84525x1 [0,-1,1,22867,-38032] 1 [76:1460:1] 84525x2 [0,-1,1,-307883,70841693] 1 [1057:30417:1]
84525y (2 curves)	1	3+ 5- 7- 23+	1 3+ 5- 7-  2 -2 -4  0
Curve Equation t Generators 84525y1 [1,1,0,-445,400] 2 [-162:403:8] 84525y2 [1,1,0,-4470,-116325] 2 [-322:323:8]
84525z (2 curves)	1	3+ 5- 7- 23+	-1 3+ 5- 7-  0  4  0  2
Curve Equation t Generators 84525z1 [1,1,1,-6763,-98344] 2 [-370:2931:8] 84525z2 [1,1,1,23862,-710844] 2 [69:1092:1]
84525ba (2 curves)	1	3+ 5- 7- 23+	-1 3+ 5- 7-  0 -4  8 -6
Curve Equation t Generators 84525ba1 [1,1,1,-1480683,644722056] 2 [-735:36927:1] 84525ba2 [1,1,1,1460542,2891817956] 2 [21510:1285781:8]
84525bb (1 curve)	1	3+ 5- 7- 23+	-1 3+ 5- 7-  5 -1  0  7
Curve Equation t Generators 84525bb1 [1,1,1,-1017388,-225559594] 1 [-587450818:11950601274:912673]
84525bc (1 curve)	1	3+ 5- 7- 23+	2 3+ 5- 7-  0  4 -6  1
Curve Equation t Generators 84525bc1 [0,-1,1,-408,9743] 1 [26:731:8]
84525bd (1 curve)	1	3+ 5- 7- 23+	2 3+ 5- 7- -1 -4  0  4
Curve Equation t Generators 84525bd1 [0,-1,1,-34708,-2940057] 1 [1635545733852755202:17509520092324328373:5876630968631912]
84525be (1 curve)	0	3+ 5- 7- 23-	0 3+ 5- 7-  2  3  0 -1
Curve Equation t 84525be1 [0,-1,1,-138833,19961318] 1
84525bf (2 curves)	0	3+ 5- 7- 23-	0 3+ 5- 7- -3 -2  0  4
Curve Equation t 84525bf1 [0,-1,1,-3813833,-20888951182] 1 84525bf2 [0,-1,1,34222417,554694601943] 1
84525bg (2 curves)	0	3+ 5- 7- 23-	1 3+ 5- 7-  0 -4 -2  4
Curve Equation t 84525bg1 [1,1,0,-1740,34875] 2 84525bg2 [1,1,0,-29915,1978950] 2
84525bh (1 curve)	0	3+ 5- 7- 23-	1 3+ 5- 7- -3  2  4 -1
Curve Equation t 84525bh1 [1,1,0,-6325,191500] 1
84525bi (2 curves)	0	3+ 5- 7- 23-	-1 3+ 5- 7-  2 -2 -4  0
Curve Equation t 84525bi1 [1,1,1,-545763,-25333344] 2 84525bi2 [1,1,1,-5476388,4905291656] 2
84525bj (2 curves)	2	3+ 5- 7- 23-	-1 3+ 5- 7- -2 -2 -4 -2
Curve Equation t Generators 84525bj1 [1,1,1,-1415513,647620406] 2 [-6770:285131:8]&[560:5282:1] 84525bj2 [1,1,1,-1384888,677020406] 2 [601:-8190:1]&[-526:35763:1]
84525bk (1 curve)	2	3+ 5- 7- 23-	-1 3+ 5- 7- -2 -2 -7 -2
Curve Equation t Generators 84525bk1 [1,1,1,27,6] 1 [0:2:1]&[1:5:1]
84525bl (1 curve)	0	3+ 5- 7- 23-	-2 3+ 5- 7-  5  4  0  4
Curve Equation t 84525bl1 [0,-1,1,6942,-104182] 1
84525bm (1 curve)	0	3- 5+ 7+ 23+	0 3- 5+ 7+ -6 -6  2  4
Curve Equation t 84525bm1 [0,1,1,-10575833,-15972190006] 1
84525bn (1 curve)	1	3- 5+ 7+ 23-	0 3- 5+ 7+  2 -4  3  2
Curve Equation t Generators 84525bn1 [0,1,1,5717,751594] 1 [38:-1013:1]
84525bo (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7-  1  0  2  3
Curve Equation t Generators 84525bo1 [0,1,1,35731617,184993854644] 1 [-2406:291721:1]
84525bp (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7-  2 -3  0 -1
Curve Equation t Generators 84525bp1 [0,1,1,-5553,157469] 1 [346:65:8]
84525bq (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7- -2 -3  2 -3
Curve Equation t Generators 84525bq1 [0,1,1,400167,-973486006] 1 [1728:-69863:1]
84525br (2 curves)	1	3- 5+ 7- 23+	0 3- 5+ 7- -3  2  0  4
Curve Equation t Generators 84525br1 [0,1,1,-152553,-167172631] 1 [1059:29326:1] 84525br2 [0,1,1,1368897,4438104374] 1 [974202:337438028:4913]
84525bs (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7-  4  0  2  0
Curve Equation t Generators 84525bs1 [0,1,1,-6533,202094] 1 [88:562:1]
84525bt (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7- -4  0 -3  8
Curve Equation t Generators 84525bt1 [0,1,1,-1633,-71606] 1 [1354:17021:8]
84525bu (1 curve)	1	3- 5+ 7- 23+	0 3- 5+ 7-  5  4  2 -3
Curve Equation t Generators 84525bu1 [0,1,1,-28583,1877369] 1 [123:487:1]
84525bv (1 curve)	1	3- 5+ 7- 23+	1 3- 5+ 7- -2 -1  1  0
Curve Equation t Generators 84525bv1 [1,0,1,-841601,-298105027] 1 [2505177375:51626550053:1953125]
84525bw (2 curves)	1	3- 5+ 7- 23+	1 3- 5+ 7- -2 -4 -2  0
Curve Equation t Generators 84525bw1 [1,0,1,-281776,49447073] 2 [-4594:39793:8] 84525bw2 [1,0,1,483849,271478323] 2 [431:-23883:1]
84525bx (1 curve)	1	3- 5+ 7- 23+	1 3- 5+ 7- -2  7 -3  8
Curve Equation t Generators 84525bx1 [1,0,1,-901,13073] 1 [-76089:157669:2197]
84525by (4 curves)	1	3- 5+ 7- 23+	1 3- 5+ 7-  4  2 -2  0
Curve Equation t Generators 84525by1 [1,0,1,-283001,-15254977] 2 [-11656143946:-123809732823:26463592] 84525by2 [1,0,1,-3523126,-2542552477] 4 [-176800041705794982:-188665365603750161:162181779545304] 84525by3 [1,0,1,-2537001,-3996100727] 2 [500411782:84047302821:17576] 84525by4 [1,0,1,-56351251,-162823083727] 2 [-121302331008930783200178625218450:60442056729688092851794030281373:27988700735772016219441125000]
84525bz (1 curve)	1	3- 5+ 7- 23+	-1 3- 5+ 7- -3 -2 -4 -1
Curve Equation t Generators 84525bz1 [1,0,0,-253,1532] 1 [11:5:1]
84525ca (4 curves)	1	3- 5+ 7- 23+	-1 3- 5+ 7- -4  2  6  4
Curve Equation t Generators 84525ca1 [1,0,0,-28813,-140008] 2 [-8:304:1] 84525ca2 [1,0,0,-328938,-72470133] 4 [586548:55746801:64] 84525ca3 [1,0,0,-200313,-129708258] 2 [2880857332:-276844080917:314432] 84525ca4 [1,0,0,-5259563,-4643159508] 2 [3112:93994:1]
84525cb (1 curve)	1	3- 5+ 7- 23+	2 3- 5+ 7- -3 -2 -4  5
Curve Equation t Generators 84525cb1 [0,1,1,-277258,-140364731] 1 [13162:497003:8]
84525cc (1 curve)	1	3- 5+ 7- 23+	2 3- 5+ 7-  5 -4  0  4
Curve Equation t Generators 84525cc1 [0,1,1,173542,-12675631] 1 [20442:1046783:8]
84525cd (1 curve)	1	3- 5+ 7- 23+	-2 3- 5+ 7-  1  2  4  3
Curve Equation t Generators 84525cd1 [0,1,1,2042,-27506] 1 [13:37:1]
84525ce (1 curve)	0	3- 5+ 7- 23-	0 3- 5+ 7-  0  4  6  0
Curve Equation t 84525ce1 [0,1,1,880367,-5150565731] 1
84525cf (2 curves)	0	3- 5+ 7- 23-	0 3- 5+ 7-  3 -4 -6  1
Curve Equation t 84525cf1 [0,1,1,-26133,-5038981] 1 84525cf2 [0,1,1,231117,123200144] 1
84525cg (2 curves)	0	3- 5+ 7- 23-	0 3- 5+ 7-  6  5 -6  1
Curve Equation t 84525cg1 [0,1,1,-7583,-256756] 1 84525cg2 [0,1,1,2917,-884131] 1
84525ch (1 curve)	0	3- 5+ 7- 23-	0 3- 5+ 7- -6  4 -3  6
Curve Equation t 84525ch1 [0,1,1,1867,14144] 1
84525ci (2 curves)	0	3- 5+ 7- 23-	0 3- 5+ 7- -6  5  0 -5
Curve Equation t 84525ci1 [0,1,1,571667,-3610631] 1 84525ci2 [0,1,1,-7697083,8839817494] 1
84525cj (4 curves)	0	3- 5+ 7- 23-	1 3- 5+ 7-  0  2 -6  4
Curve Equation t 84525cj1 [1,0,1,-343026,-77132177] 2 84525cj2 [1,0,1,-496151,-1488427] 4 84525cj3 [1,0,1,1984474,-11410927] 2 84525cj4 [1,0,1,-5426776,4850246573] 2
84525ck (4 curves)	0	3- 5+ 7- 23-	1 3- 5+ 7- -4 -2  6 -8
Curve Equation t 84525ck1 [1,0,1,10999,33023] 2 84525ck2 [1,0,1,-44126,253523] 4 84525ck3 [1,0,1,-466751,-122307727] 2 84525ck4 [1,0,1,-503501,137147273] 2
84525cl (1 curve)	0	3- 5+ 7- 23-	1 3- 5+ 7-  5  1  0  7
Curve Equation t 84525cl1 [1,0,1,-40696,-1804477] 1
84525cm (2 curves)	0	3- 5+ 7- 23-	-1 3- 5+ 7- -2  0 -2  4
Curve Equation t 84525cm1 [1,0,0,-1760963,896667792] 2 84525cm2 [1,0,0,-995338,1681433417] 2
84525cn (4 curves)	0	3- 5+ 7- 23-	-1 3- 5+ 7-  4  6 -2  4
Curve Equation t 84525cn1 [1,0,0,559187,-101276008] 2 84525cn2 [1,0,0,-2680938,-882146133] 4 84525cn3 [1,0,0,-20290313,34565525742] 2 84525cn4 [1,0,0,-36913563,-86292545508] 2
84525co (2 curves)	0	3- 5+ 7- 23-	-1 3- 5+ 7-  4 -6  4 -2
Curve Equation t 84525co1 [1,0,0,-638,30267] 2 84525co2 [1,0,0,-19013,1004142] 2
84525cp (1 curve)	0	3- 5+ 7- 23-	2 3- 5+ 7- -2 -6  1 -2
Curve Equation t 84525cp1 [0,1,1,-122908,-18891281] 1
84525cq (1 curve)	0	3- 5+ 7- 23-	-2 3- 5+ 7-  0 -4  6  1
Curve Equation t 84525cq1 [0,1,1,-10208,1197494] 1
84525cr (1 curve)	0	3- 5+ 7- 23-	-2 3- 5+ 7- -1  4  0  4
Curve Equation t 84525cr1 [0,1,1,-1388,-24076] 1
84525cs (1 curve)	0	3- 5+ 7- 23-	-2 3- 5+ 7-  3 -2  4 -1
Curve Equation t 84525cs1 [0,1,1,-658408,-205851656] 1
84525ct (1 curve)	2	3- 5+ 7- 23-	-2 3- 5+ 7- -5 -2  0  5
Curve Equation t Generators 84525ct1 [0,1,1,-118008,18168644] 1 [177:-1691:1]&[-192:5812:1]
84525cu (1 curve)	0	3- 5+ 7- 23-	-2 3- 5+ 7-  6 -7  0  7
Curve Equation t 84525cu1 [0,1,1,-118177908,-507670062406] 1
84525cv (1 curve)	0	3- 5- 7+ 23-	-1 3- 5- 7+ -2  2  7  2
Curve Equation t 84525cv1 [1,0,0,1322,1847] 1
84525cw (2 curves)	0	3- 5- 7- 23+	1 3- 5- 7-  2  2  4  0
Curve Equation t 84525cw1 [1,0,1,-21831,-202667] 2 84525cw2 [1,0,1,-219056,39242333] 2
84525cx (2 curves)	0	3- 5- 7- 23+	1 3- 5- 7- -2  2  4 -2
Curve Equation t 84525cx1 [1,0,1,-56621,5180963] 2 84525cx2 [1,0,1,-55396,5416163] 2
84525cy (1 curve)	0	3- 5- 7- 23+	1 3- 5- 7- -2  2  7 -2
Curve Equation t 84525cy1 [1,0,1,674,-577] 1
84525cz (2 curves)	0	3- 5- 7- 23+	-1 3- 5- 7-  0  4  2  4
Curve Equation t 84525cz1 [1,0,0,-43513,4446392] 2 84525cz2 [1,0,0,-747888,248864517] 2
84525da (1 curve)	0	3- 5- 7- 23+	-1 3- 5- 7-  5 -1 -8 -1
Curve Equation t 84525da1 [1,0,0,-18694138,-31111870483] 1
84525db (1 curve)	1	3- 5- 7- 23-	0 3- 5- 7-  4 -6  4  3
Curve Equation t Generators 84525db1 [0,1,1,8167,14280494] 1 [-26:3748:1]
84525dc (1 curve)	1	3- 5- 7- 23-	0 3- 5- 7- -6 -6  2 -4
Curve Equation t Generators 84525dc1 [0,1,1,-8633,369569] 1 [67:310:1]
84525dd (2 curves)	1	3- 5- 7- 23-	1 3- 5- 7-  0  4 -8 -6
Curve Equation t Generators 84525dd1 [1,0,1,-37017076,80664291173] 2 [19566:542213:8] 84525dd2 [1,0,1,36513549,361404217423] 2 [219503:102770697:1]
84525de (2 curves)	1	3- 5- 7- 23-	1 3- 5- 7-  0 -4  0  2
Curve Equation t Generators 84525de1 [1,0,1,-271,-787] 2 [-114:173:8] 84525de2 [1,0,1,954,-5687] 2 [53:414:1]
84525df (1 curve)	1	3- 5- 7- 23-	1 3- 5- 7- -3 -2 -4  1
Curve Equation t Generators 84525df1 [1,0,1,-309951,-66614327] 1 [1033:26237:1]
84525dg (1 curve)	1	3- 5- 7- 23-	-1 3- 5- 7- -1 -1  4 -7
Curve Equation t Generators 84525dg1 [1,0,0,-37388,-2755383] 1 [-113:229:1]
84525dh (2 curves)	1	3- 5- 7- 23-	-1 3- 5- 7-  2  2  4  0
Curve Equation t Generators 84525dh1 [1,0,0,-11138,72267] 2 [-59:754:1] 84525dh2 [1,0,0,-111763,-14317108] 2 [-184:254:1]

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