Cremona's table of elliptic curves

25578 = 2 · 3² · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
25578a (1 curve)	0	2+ 3+ 7- 29+	2+ 3+  0 7- -1  3 -8 -1
Curve Equation t 25578a1 [1,-1,0,-42166077,105401088197] 1
25578b (2 curves)	0	2+ 3+ 7- 29+	2+ 3+  0 7-  4 -2  2  4
Curve Equation t 25578b1 [1,-1,0,-597,-8415] 2 25578b2 [1,-1,0,-10887,-434421] 2
25578c (2 curves)	0	2+ 3+ 7- 29+	2+ 3+ -2 7-  4 -4  4 -8
Curve Equation t 25578c1 [1,-1,0,-4713,-104455] 2 25578c2 [1,-1,0,8517,-593965] 2
25578d (1 curve)	0	2+ 3+ 7- 29+	2+ 3+ -3 7- -4  6  1  5
Curve Equation t 25578d1 [1,-1,0,579,70181] 1
25578e (2 curves)	1	2+ 3+ 7- 29-	2+ 3+  0 7-  3  1  0  7
Curve Equation t Generators 25578e1 [1,-1,0,-13092,-581960] 1 [359:6215:1] 25578e2 [1,-1,0,50853,-2808667] 1 [2606:54263:8]
25578f (2 curves)	1	2+ 3+ 7- 29-	2+ 3+ -2 7-  0 -2  2  0
Curve Equation t Generators 25578f1 [1,-1,0,-100263,-12231171] 2 [1549:58785:1] 25578f2 [1,-1,0,-1605543,-782633475] 2 [3962257:100722357:2197]
25578g (2 curves)	1	2+ 3+ 7- 29-	2+ 3+  3 7-  0 -2 -3 -5
Curve Equation t Generators 25578g1 [1,-1,0,-303,19123] 1 [11:125:1] 25578g2 [1,-1,0,-64248,6284312] 1 [1166:-421:8]
25578h (2 curves)	1	2+ 3- 7- 29+	2+ 3-  0 7-  4  4 -4 -8
Curve Equation t Generators 25578h1 [1,-1,0,-89532,-31263408] 2 [1983:86106:1] 25578h2 [1,-1,0,-2135772,-1198847952] 2 [280355:8950866:125]
25578i (2 curves)	1	2+ 3- 7- 29+	2+ 3- -1 7-  2  0 -3  1
Curve Equation t Generators 25578i1 [1,-1,0,-450,1269652] 1 [-109:176:1] 25578i2 [1,-1,0,-2871360,-1877509418] 1 [1265502185:18321935486:614125]
25578j (2 curves)	1	2+ 3- 7- 29+	2+ 3-  2 7-  0 -2 -6  0
Curve Equation t Generators 25578j1 [1,-1,0,58014,698004] 2 [555:13992:1] 25578j2 [1,-1,0,-234306,5784372] 2 [17769:306328:27]
25578k (2 curves)	1	2+ 3- 7- 29+	2+ 3-  2 7-  0  6 -6  8
Curve Equation t Generators 25578k1 [1,-1,0,-1206,16960] 2 [18:-38:1] 25578k2 [1,-1,0,-19476,1051042] 2 [-61:1448:1]
25578l (4 curves)	1	2+ 3- 7- 29+	2+ 3-  2 7- -4  6  6  4
Curve Equation t Generators 25578l1 [1,-1,0,-1839422916,-41053818355376] 2 [345077757231960360803153453229760595880:1299284789139479283844422435950409488153644:24334523871070307275809295896673] 25578l2 [1,-1,0,-32221994436,-2226004296187568] 4 [20057275580115294571642991947908696640733293069959099192051010176840727357640:-2485360716815865302139747052333900365688777012623241884613019544331785271753636:93642684309473264470829469403582066810016575648111099066826428968377125] 25578l3 [1,-1,0,-35029435716,-1815132457418288] 2 [2464598776246933903387559897261592659696806083619283908233724450721927058542427074349239149645035649581178039170651679643170583931531562620356015:-301247510964720975667329844648184699530046962372693528876185188674760049677436382199041228885921648440393620265751653216515577244815027018123694111:11412762021152724466154799299144216512749317469117263082112864669254994572074157829048129755337661181030533436024653836973661962292088745875] 25578l4 [1,-1,0,-515535697476,-142474071307075376] 2 [44110783358088722633396799526662526870846239568878894219335765161034882537636417938794040818966893847092161539844598486111646808601500122705:-165956519425811149878561734601935788530411701419023818781297483629494731545538343748591428320159587010860563365065477367623694937268597710574738:3109035564592109911692706938612583589747366951456107620739065619232246948261807563148061552990261817433505625948498530799304454587375]
25578m (4 curves)	1	2+ 3- 7- 29+	2+ 3-  2 7- -4 -6 -6  4
Curve Equation t Generators 25578m1 [1,-1,0,-311796,-63971888] 2 [-369:1042:1] 25578m2 [1,-1,0,-876276,233509072] 4 [-904:17372:1] 25578m3 [1,-1,0,2193084,1503610240] 2 [-49055:3041152:125] 25578m4 [1,-1,0,-12977316,17995415584] 2 [-3580:138032:1]
25578n (1 curve)	1	2+ 3- 7- 29+	2+ 3-  2 7-  5 -3  6 -5
Curve Equation t Generators 25578n1 [1,-1,0,-18531,981679] 1 [65:-253:1]
25578o (2 curves)	1	2+ 3- 7- 29+	2+ 3- -2 7-  0  2  6  0
Curve Equation t Generators 25578o1 [1,-1,0,2842677,-245100731] 2 [12929737:909576142:24389] 25578o2 [1,-1,0,-11481003,-1961077595] 2 [226587288939:-16600251411446:32461759]
25578p (2 curves)	1	2+ 3- 7- 29+	2+ 3- -2 7-  0 -6  6 -8
Curve Equation t Generators 25578p1 [1,-1,0,-59103,-5699079] 2 [514:9719:1] 25578p2 [1,-1,0,-954333,-358598745] 2 [10286:180531:8]
25578q (1 curve)	1	2+ 3- 7- 29+	2+ 3- -3 7-  1  1 -4  4
Curve Equation t Generators 25578q1 [1,-1,0,-44991,3694221] 1 [142:321:1]
25578r (1 curve)	1	2+ 3- 7- 29+	2+ 3-  4 7- -3  3  6 -5
Curve Equation t Generators 25578r1 [1,-1,0,3015,-545427] 1 [1542:20649:8]
25578s (1 curve)	1	2+ 3- 7- 29+	2+ 3- -4 7- -3 -3 -6  5
Curve Equation t Generators 25578s1 [1,-1,0,147726,186786004] 1 [1115:41117:1]
25578t (2 curves)	1	2+ 3- 7- 29+	2+ 3- -4 7- -4  0  0 -8
Curve Equation t Generators 25578t1 [1,-1,0,19836,-956516] 2 [107:-1597:1] 25578t2 [1,-1,0,-108054,-8757806] 2 [-229:2099:1]
25578u (4 curves)	2	2+ 3- 7- 29-	2+ 3-  0 7-  0 -2 -6 -8
Curve Equation t Generators 25578u1 [1,-1,0,-58662,7831732] 2 [149:-1618:1]&[-1202:29707:8] 25578u2 [1,-1,0,-1046502,412253428] 2 [737:-6763:1]&[-684:28762:1] 25578u3 [1,-1,0,470538,-109248476] 2 [275:6257:1]&[536:16958:1] 25578u4 [1,-1,0,-2554722,-1005330488] 2 [-640568:8108785:512]&[-1054:23234:1]
25578v (2 curves)	0	2+ 3- 7- 29-	2+ 3-  1 7-  3  1  8  0
Curve Equation t 25578v1 [1,-1,0,2196,65232] 1 25578v2 [1,-1,0,-200664,-34782588] 1
25578w (1 curve)	0	2+ 3- 7- 29-	2+ 3-  1 7- -6  4 -7  3
Curve Equation t 25578w1 [1,-1,0,-2214,-43254] 1
25578x (2 curves)	0	2+ 3- 7- 29-	2+ 3-  2 7-  0  0  4  4
Curve Equation t 25578x1 [1,-1,0,-9711,204637] 2 25578x2 [1,-1,0,-71451,-7191815] 2
25578y (2 curves)	2	2+ 3- 7- 29-	2+ 3- -2 7-  0  0 -4 -4
Curve Equation t Generators 25578y1 [1,-1,0,-198,-540] 2 [-8:26:1]&[-5:20:1] 25578y2 [1,-1,0,-1458,21384] 2 [30:-78:1]&[-36:180:1]
25578z (1 curve)	0	2+ 3- 7- 29-	2+ 3- -2 7- -3  1  2 -3
Curve Equation t 25578z1 [1,-1,0,74194272,-446458604544] 1
25578ba (2 curves)	0	2+ 3- 7- 29-	2+ 3-  4 7-  0 -2  2  0
Curve Equation t 25578ba1 [1,-1,0,-194490,37230948] 2 25578ba2 [1,-1,0,-3219750,2224493928] 2
25578bb (2 curves)	1	2- 3+ 7- 29+	2- 3+  0 7- -3  1  0  7
Curve Equation t Generators 25578bb1 [1,-1,1,5650,102141] 1 [149:1983:1] 25578bb2 [1,-1,1,-117830,15830749] 1 [247:1199:1]
25578bc (2 curves)	1	2- 3+ 7- 29+	2- 3+  2 7-  0 -2 -2  0
Curve Equation t Generators 25578bc1 [1,-1,1,-902369,331143985] 2 [415:5084:1] 25578bc2 [1,-1,1,-14449889,21145553713] 2 [1999:14660:1]
25578bd (2 curves)	1	2- 3+ 7- 29+	2- 3+ -3 7-  0 -2  3 -5
Curve Equation t Generators 25578bd1 [1,-1,1,-7139,-230373] 1 [101:216:1] 25578bd2 [1,-1,1,-2729,-513593] 1 [38487326:93196753:405224]
25578be (1 curve)	0	2- 3+ 7- 29-	2- 3+  0 7-  1  3  8 -1
Curve Equation t 25578be1 [1,-1,1,-4685120,-3902182301] 1
25578bf (2 curves)	0	2- 3+ 7- 29-	2- 3+  0 7- -4 -2 -2  4
Curve Equation t 25578bf1 [1,-1,1,-5375,232579] 2 25578bf2 [1,-1,1,-97985,11827351] 2
25578bg (2 curves)	0	2- 3+ 7- 29-	2- 3+  2 7- -4 -4 -4 -8
Curve Equation t 25578bg1 [1,-1,1,-524,4043] 2 25578bg2 [1,-1,1,946,21683] 2
25578bh (1 curve)	0	2- 3+ 7- 29-	2- 3+  3 7-  4  6 -1  5
Curve Equation t 25578bh1 [1,-1,1,64,-2621] 1
25578bi (2 curves)	0	2- 3- 7- 29+	2- 3-  0 7-  0  6 -2  0
Curve Equation t 25578bi1 [1,-1,1,48280,924459] 2 25578bi2 [1,-1,1,-198680,7641771] 2
25578bj (1 curve)	0	2- 3- 7- 29+	2- 3- -2 7- -1  5  2  5
Curve Equation t 25578bj1 [1,-1,1,484429,1475445395] 1
25578bk (1 curve)	0	2- 3- 7- 29+	2- 3-  3 7- -6  0  7 -5
Curve Equation t 25578bk1 [1,-1,1,-24926,-1554451] 1
25578bl (2 curves)	0	2- 3- 7- 29+	2- 3- -3 7-  3  1  0  4
Curve Equation t 25578bl1 [1,-1,1,-6404,1959927] 1 25578bl2 [1,-1,1,57541,-52418901] 1
25578bm (1 curve)	1	2- 3- 7- 29-	2- 3-  0 7- -1  5 -6  1
Curve Equation t Generators 25578bm1 [1,-1,1,4180,30993] 1 [982:11853:8]
25578bn (1 curve)	1	2- 3- 7- 29-	2- 3-  0 7- -1 -5  6 -1
Curve Equation t Generators 25578bn1 [1,-1,1,85,-115] 1 [30:107:8]
25578bo (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7-  4  0  4 -4
Curve Equation t Generators 25578bo1 [1,-1,1,-4521110,3701542821] 2 [1199:-2427:1] 25578bo2 [1,-1,1,-72339350,236833524645] 2 [3635:146169:1]
25578bp (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7-  4  0 -4  4
Curve Equation t Generators 25578bp1 [1,-1,1,-221534375,-1269186118945] 2 [18637:1027576:1] 25578bp2 [1,-1,1,-3544628135,-81226809697057] 2 [59624345:-40871654632:125]
25578bq (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7-  4  0 -4 -4
Curve Equation t Generators 25578bq1 [1,-1,1,-133265,20263681] 2 [-173:6260:1] 25578bq2 [1,-1,1,-2179505,1239004225] 2 [835:464:1]
25578br (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7- -4  4  0 -4
Curve Equation t Generators 25578br1 [1,-1,1,-11570,2199089] 2 [-47:1647:1] 25578br2 [1,-1,1,-334130,74194481] 2 [297:895:1]
25578bs (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7- -4 -4  0  4
Curve Equation t Generators 25578bs1 [1,-1,1,-566915,-753153789] 2 [1259:22338:1] 25578bs2 [1,-1,1,-16372355,-25415962365] 2 [-2425:5910:1]
25578bt (1 curve)	1	2- 3- 7- 29-	2- 3-  2 7- -1 -1  2  1
Curve Equation t Generators 25578bt1 [1,-1,1,-4199,-212929] 1 [93:394:1]
25578bu (4 curves)	1	2- 3- 7- 29-	2- 3-  2 7-  4 -6 -2 -4
Curve Equation t Generators 25578bu1 [1,-1,1,211,-16635] 2 [310:1605:8] 25578bu2 [1,-1,1,-8609,-295347] 4 [1206:10173:8] 25578bu3 [1,-1,1,-21839,842433] 2 [286:2463:8] 25578bu4 [1,-1,1,-136499,-19376535] 2 [735390:16291217:1000]
25578bv (2 curves)	1	2- 3- 7- 29-	2- 3-  2 7- -4  2 -4 -2
Curve Equation t Generators 25578bv1 [1,-1,1,-936914,-552710959] 2 [2113:81999:1] 25578bv2 [1,-1,1,-17306834,-27700586287] 2 [5641:229879:1]
25578bw (1 curve)	1	2- 3- 7- 29-	2- 3- -3 7-  1 -3 -4  8
Curve Equation t Generators 25578bw1 [1,-1,1,-524,6787] 1 [-19:107:1]
25578bx (2 curves)	1	2- 3- 7- 29-	2- 3- -3 7- -6  4  3  1
Curve Equation t Generators 25578bx1 [1,-1,1,-3397694,11365340109] 1 [6647:528117:1] 25578bx2 [1,-1,1,30358651,-294656181123] 1 [59135:14402688:1]

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