Cremona's table of elliptic curves

69678 = 2 · 3² · 7² · 79

Class	r	Atkin-Lehner	Eigenvalues
69678a (1 curve)	1	2+ 3+ 7+ 79+	2+ 3+ -1 7+  4  4 -5 -1
Curve Equation t Generators 69678a1 [1,-1,0,-450,15644] 1 [37:202:1]
69678b (2 curves)	0	2+ 3+ 7+ 79-	2+ 3+  3 7+  0 -4 -3 -1
Curve Equation t 69678b1 [1,-1,0,-9858,391572] 3 69678b2 [1,-1,0,48207,1223837] 1
69678c (1 curve)	0	2+ 3+ 7- 79+	2+ 3+  1 7-  4 -4  5  1
Curve Equation t 69678c1 [1,-1,0,-9,-43] 1
69678d (2 curves)	1	2+ 3+ 7- 79-	2+ 3+ -3 7-  0  4  3  1
Curve Equation t Generators 69678d1 [1,-1,0,-483051,-133343099] 1 [292313:2792525:343] 69678d2 [1,-1,0,2362134,-424500364] 1 [28368629164624:1532544039997531:111701610496]
69678e (1 curve)	1	2+ 3+ 7- 79-	2+ 3+ -4 7-  3 -5  1  6
Curve Equation t Generators 69678e1 [1,-1,0,-27204,1764944] 1 [88:-260:1]
69678f (1 curve)	2	2+ 3- 7+ 79+	2+ 3- -4 7+  1 -2 -2 -4
Curve Equation t Generators 69678f1 [1,-1,0,-5969679,5615520749] 1 [1409:-827:1]&[1213:11962:1]
69678g (1 curve)	1	2+ 3- 7+ 79-	2+ 3-  2 7+  3  4  0  4
Curve Equation t Generators 69678g1 [1,-1,0,-25146,1467220] 1 [233:2750:1]
69678h (1 curve)	1	2+ 3- 7+ 79-	2+ 3-  4 7+  5 -6  6 -4
Curve Equation t Generators 69678h1 [1,-1,0,-37935,-1936467] 1 [219:363:1]
69678i (2 curves)	1	2+ 3- 7- 79+	2+ 3-  1 7- -2  1 -2  0
Curve Equation t Generators 69678i1 [1,-1,0,-185229,30461157] 1 [52486:791421:343] 69678i2 [1,-1,0,-10310589,-12740087403] 1 [-27501500097680437010:15356569663014258183:14902372912664125]
69678j (4 curves)	1	2+ 3- 7- 79+	2+ 3- -2 7-  4  2  2  4
Curve Equation t Generators 69678j1 [1,-1,0,26157,698165] 2 [52936:1059617:512] 69678j2 [1,-1,0,-114963,5919605] 4 [-74:3781:1] 69678j3 [1,-1,0,-979323,-368694019] 2 [-33548:58075:64] 69678j4 [1,-1,0,-1508523,713011949] 2 [7150:67119:8]
69678k (2 curves)	1	2+ 3- 7- 79+	2+ 3- -2 7-  4 -2 -2  0
Curve Equation t Generators 69678k1 [1,-1,0,432,7020] 2 [6:96:1] 69678k2 [1,-1,0,-3978,83754] 2 [9:216:1]
69678l (1 curve)	1	2+ 3- 7- 79+	2+ 3-  4 7-  1  2  2  4
Curve Equation t Generators 69678l1 [1,-1,0,-121830,-16336972] 1 [75984748:4408312861:21952]
69678m (1 curve)	2	2+ 3- 7- 79-	2+ 3- -2 7-  3 -4  0 -4
Curve Equation t Generators 69678m1 [1,-1,0,-513,-4131] 1 [-15:12:1]&[-11:15:1]
69678n (1 curve)	0	2+ 3- 7- 79-	2+ 3- -3 7-  2  5  6  0
Curve Equation t 69678n1 [1,-1,0,-3831,66653] 1
69678o (2 curves)	0	2+ 3- 7- 79-	2+ 3-  4 7- -4  4  6  2
Curve Equation t 69678o1 [1,-1,0,-5202045,-4567186107] 2 69678o2 [1,-1,0,-83241405,-292298306427] 2
69678p (2 curves)	2	2+ 3- 7- 79-	2+ 3- -4 7- -4 -4 -6 -2
Curve Equation t Generators 69678p1 [1,-1,0,-106164,13345744] 2 [177:188:1]&[142:27019:8] 69678p2 [1,-1,0,-1698804,852667024] 2 [752:-412:1]&[-523:40235:1]
69678q (1 curve)	0	2+ 3- 7- 79-	2+ 3- -4 7-  5  6 -6  4
Curve Equation t 69678q1 [1,-1,0,-1858824,667925824] 1
69678r (1 curve)	0	2- 3+ 7+ 79+	2- 3+  1 7+ -4  4  5 -1
Curve Equation t 69678r1 [1,-1,1,-4052,-418337] 1
69678s (2 curves)	1	2- 3+ 7+ 79-	2- 3+ -3 7+  0 -4  3 -1
Curve Equation t Generators 69678s1 [1,-1,1,5356,-47113] 3 [9:37:1] 69678s2 [1,-1,1,-88724,-10483721] 1 [1549:-60499:1]
69678t (1 curve)	1	2- 3+ 7- 79+	2- 3+ -1 7- -4 -4 -5  1
Curve Equation t Generators 69678t1 [1,-1,1,-83,1243] 1 [-11:32:1]
69678u (2 curves)	0	2- 3+ 7- 79-	2- 3+  3 7-  0  4 -3  1
Curve Equation t 69678u1 [1,-1,1,262459,15634749] 1 69678u2 [1,-1,1,-4347461,3604611133] 1
69678v (1 curve)	0	2- 3+ 7- 79-	2- 3+  4 7- -3 -5 -1  6
Curve Equation t 69678v1 [1,-1,1,-3023,-64361] 1
69678w (1 curve)	1	2- 3- 7+ 79+	2- 3-  2 7+ -5 -2  4  8
Curve Equation t Generators 69678w1 [1,-1,1,-84314,7996825] 1 [625:13799:1]
69678x (2 curves)	2	2- 3- 7+ 79-	2- 3-  0 7+ -3 -4 -6 -4
Curve Equation t Generators 69678x1 [1,-1,1,-211910,-37434211] 1 [-2154:2837:8]&[-257:177:1] 69678x2 [1,-1,1,-906485,297295373] 3 [-1041:11104:1]&[-977:16288:1]
69678y (1 curve)	0	2- 3- 7+ 79-	2- 3-  1 7+ -6 -6  7  3
Curve Equation t 69678y1 [1,-1,1,-647177,-200278263] 1
69678z (1 curve)	0	2- 3- 7+ 79-	2- 3- -2 7+  3  6  4  0
Curve Equation t 69678z1 [1,-1,1,-66821,6655695] 1
69678ba (1 curve)	0	2- 3- 7- 79+	2- 3- -1 7- -4  7 -4  6
Curve Equation t 69678ba1 [1,-1,1,-1553,22565] 1
69678bb (2 curves)	0	2- 3- 7- 79+	2- 3-  2 7-  4  4 -2 -2
Curve Equation t 69678bb1 [1,-1,1,-4199,84795] 2 69678bb2 [1,-1,1,9031,502863] 2
69678bc (1 curve)	0	2- 3- 7- 79+	2- 3-  2 7-  5  1  5  6
Curve Equation t 69678bc1 [1,-1,1,35491,-570139] 1
69678bd (1 curve)	2	2- 3- 7- 79+	2- 3- -2 7- -5  2 -4 -8
Curve Equation t Generators 69678bd1 [1,-1,1,-1721,-22823] 1 [-17:-28:1]&[-25:76:1]
69678be (2 curves)	1	2- 3- 7- 79-	2- 3-  0 7-  0  0 -2  2
Curve Equation t Generators 69678be1 [1,-1,1,-9785,-159911] 2 [-47:464:1] 69678be2 [1,-1,1,-80345,8674201] 2 [289:-3232:1]
69678bf (2 curves)	1	2- 3- 7- 79-	2- 3-  0 7-  0  0 -2  2
Curve Equation t Generators 69678bf1 [1,-1,1,-599261900,-5646146377777] 2 [-69185223:51834137:4913] 69678bf2 [1,-1,1,-622123340,-5192063311921] 2 [993886023699:-49498264133869:33698267]
69678bg (4 curves)	1	2- 3- 7- 79-	2- 3-  0 7-  0  4  6 -2
Curve Equation t Generators 69678bg1 [1,-1,1,-463280,-57285777] 2 [-64897772:1740362727:314432] 69678bg2 [1,-1,1,-3678170,2676656679] 2 [585338373884:-7128030328827:418508992] 69678bg3 [1,-1,1,-31719155,-68751197805] 2 [8885:587820:1] 69678bg4 [1,-1,1,-31877915,-68028077757] 2 [43664857:-2930995902:4913]
69678bh (2 curves)	1	2- 3- 7- 79-	2- 3-  0 7- -3  4  6  4
Curve Equation t Generators 69678bh1 [1,-1,1,-4325,110373] 1 [41:6:1] 69678bh2 [1,-1,1,-18500,-861465] 1 [185:1329:1]
69678bi (1 curve)	1	2- 3- 7- 79-	2- 3- -1 7- -6  6 -7 -3
Curve Equation t Generators 69678bi1 [1,-1,1,-13208,587675] 1 [69:-71:1]
69678bj (2 curves)	1	2- 3- 7- 79-	2- 3-  2 7-  0  0 -2  2
Curve Equation t Generators 69678bj1 [1,-1,1,-17429,-93859] 2 [-15:412:1] 69678bj2 [1,-1,1,-202649,-34989307] 2 [-32745:49034:125]
69678bk (2 curves)	1	2- 3- 7- 79-	2- 3-  2 7-  0 -6  8 -6
Curve Equation t Generators 69678bk1 [1,-1,1,236146,112265885] 2 [-75:9739:1] 69678bk2 [1,-1,1,-2550974,1389881693] 2 [2137:74391:1]
69678bl (1 curve)	1	2- 3- 7- 79-	2- 3-  2 7-  3 -6 -4  0
Curve Equation t Generators 69678bl1 [1,-1,1,-1364,-19015] 1 [17940:288205:64]
69678bm (2 curves)	1	2- 3- 7- 79-	2- 3-  2 7- -4  2  6 -8
Curve Equation t Generators 69678bm1 [1,-1,1,-403304,-98339349] 2 [80180:2321433:64] 69678bm2 [1,-1,1,-279824,-159782997] 2 [9899620:-302968281:8000]
69678bn (2 curves)	1	2- 3- 7- 79-	2- 3- -2 7-  0  0  2 -2
Curve Equation t Generators 69678bn1 [1,-1,1,-356,375] 2 [-1:27:1] 69678bn2 [1,-1,1,-4136,103191] 2 [41:15:1]
69678bo (2 curves)	1	2- 3- 7- 79-	2- 3- -2 7-  0 -2 -4 -6
Curve Equation t Generators 69678bo1 [1,-1,1,-43301,-4328243] 2 [2102:11293:8] 69678bo2 [1,-1,1,-740081,-244856699] 2 [72886:6888037:8]
69678bp (1 curve)	1	2- 3- 7- 79-	2- 3- -2 7-  3 -5  5  0
Curve Equation t Generators 69678bp1 [1,-1,1,-58736,6420691] 1 [-19:2753:1]
69678bq (2 curves)	1	2- 3- 7- 79-	2- 3- -2 7- -4 -2 -6  8
Curve Equation t Generators 69678bq1 [1,-1,1,-8231,289055] 2 [39:142:1] 69678bq2 [1,-1,1,-5711,467471] 2 [37:-572:1]
69678br (1 curve)	1	2- 3- 7- 79-	2- 3- -2 7-  5  1 -1  2
Curve Equation t Generators 69678br1 [1,-1,1,-2876,137715] 1 [-67:195:1]
69678bs (3 curves)	1	2- 3- 7- 79-	2- 3-  3 7-  0 -5  0 -2
Curve Equation t Generators 69678bs1 [1,-1,1,-20516,1136139] 1 [1767:6277:27] 69678bs2 [1,-1,1,-35951,-777801] 1 [-99:1392:1] 69678bs3 [1,-1,1,-2300486,-1342427691] 1 [-109395:59191:125]
69678bt (2 curves)	1	2- 3- 7- 79-	2- 3-  4 7-  0  4  2 -6
Curve Equation t Generators 69678bt1 [1,-1,1,-249248,47957599] 2 [18196:-1345:64] 69678bt2 [1,-1,1,-253658,46175959] 2 [769220:37700281:8000]
69678bu (2 curves)	1	2- 3- 7- 79-	2- 3-  4 7- -4 -2  2 -4
Curve Equation t Generators 69678bu1 [1,-1,1,-241898,-45596631] 2 [779:15045:1] 69678bu2 [1,-1,1,-136058,-85815831] 2 [3999:249615:1]
69678bv (2 curves)	1	2- 3- 7- 79-	2- 3- -4 7-  0  0  2  6
Curve Equation t Generators 69678bv1 [1,-1,1,-185606987,-761833373605] 2 [-9237:410122:1] 69678bv2 [1,-1,1,-2786730827,-56618366713765] 2 [-30405:71434:1]
69678bw (2 curves)	1	2- 3- 7- 79-	2- 3- -4 7-  0 -4 -6 -6
Curve Equation t Generators 69678bw1 [1,-1,1,-100337,-10150815] 2 [-229:996:1] 69678bw2 [1,-1,1,-1529177,-727428495] 2 [-715:510:1]

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