Cremona's table of elliptic curves

78498 = 2 · 3² · 7² · 89

Class	r	Atkin-Lehner	Eigenvalues
78498a (1 curve)	1	2+ 3+ 7+ 89+	2+ 3+  0 7+  3  2  2  5
Curve Equation t Generators 78498a1 [1,-1,0,-8682,60920] 1 [4:160:1]
78498b (1 curve)	1	2+ 3+ 7+ 89+	2+ 3+  1 7+  6 -2  4 -2
Curve Equation t Generators 78498b1 [1,-1,0,-1479,15301] 1 [11:11:1]
78498c (1 curve)	1	2+ 3+ 7+ 89+	2+ 3+  3 7+  1  4  2 -8
Curve Equation t Generators 78498c1 [1,-1,0,2637,-55357] 1 [31:220:1]
78498d (1 curve)	0	2+ 3+ 7+ 89-	2+ 3+  4 7+  3  2 -6 -5
Curve Equation t 78498d1 [1,-1,0,-220494570,-1241586202312] 1
78498e (1 curve)	0	2+ 3+ 7- 89+	2+ 3+ -4 7-  0  4  3 -1
Curve Equation t 78498e1 [1,-1,0,-139659,129745349] 1
78498f (1 curve)	0	2+ 3+ 7- 89+	2+ 3+ -4 7-  3 -2  6  5
Curve Equation t 78498f1 [1,-1,0,-4499889,3621070529] 1
78498g (1 curve)	1	2+ 3+ 7- 89-	2+ 3+  0 7-  3 -2 -2 -5
Curve Equation t Generators 78498g1 [1,-1,0,-177,-127] 1 [-8:31:1]
78498h (1 curve)	1	2+ 3+ 7- 89-	2+ 3+  0 7-  4 -4  1 -1
Curve Equation t Generators 78498h1 [1,-1,0,-7212,-234256] 1 [121:748:1]
78498i (1 curve)	1	2+ 3+ 7- 89-	2+ 3+ -1 7-  6  2 -4  2
Curve Equation t Generators 78498i1 [1,-1,0,-30,-36] 1 [-3:6:1]
78498j (1 curve)	1	2+ 3+ 7- 89-	2+ 3+ -3 7-  1 -4 -2  8
Curve Equation t Generators 78498j1 [1,-1,0,54,146] 1 [11:39:1]
78498k (1 curve)	0	2+ 3- 7+ 89+	2+ 3-  1 7+ -3 -2  4 -2
Curve Equation t 78498k1 [1,-1,0,-15444,-2362424] 1
78498l (1 curve)	0	2+ 3- 7+ 89+	2+ 3-  2 7+  1  6 -2 -1
Curve Equation t 78498l1 [1,-1,0,-133191,4600525] 1
78498m (1 curve)	1	2+ 3- 7+ 89-	2+ 3- -1 7+  0 -2  4 -4
Curve Equation t Generators 78498m1 [1,-1,0,-18090,885492] 1 [9:846:1]
78498n (1 curve)	1	2+ 3- 7- 89+	2+ 3-  0 7-  0  2  5 -1
Curve Equation t Generators 78498n1 [1,-1,0,6858,232308] 1 [93:1245:1]
78498o (2 curves)	1	2+ 3- 7- 89+	2+ 3-  0 7- -4 -6 -6 -4
Curve Equation t Generators 78498o1 [1,-1,0,3078,188320] 2 [2:440:1] 78498o2 [1,-1,0,-36612,2434774] 2 [-75:2218:1]
78498p (1 curve)	1	2+ 3- 7- 89+	2+ 3-  1 7-  0  2 -4  4
Curve Equation t Generators 78498p1 [1,-1,0,-886419,-301950923] 1 [-6167534815:47675403914:12977875]
78498q (1 curve)	1	2+ 3- 7- 89+	2+ 3- -2 7- -2  0  5  1
Curve Equation t Generators 78498q1 [1,-1,0,-64736163,210350268981] 1 [13239:1287054:1]
78498r (4 curves)	1	2+ 3- 7- 89+	2+ 3- -2 7-  4 -2 -2 -4
Curve Equation t Generators 78498r1 [1,-1,0,432,-400464] 2 [93:615:1] 78498r2 [1,-1,0,-78948,-8354340] 4 [-162:486:1] 78498r3 [1,-1,0,-171558,15038946] 2 [867:22314:1] 78498r4 [1,-1,0,-1256418,-541748250] 2 [-17457:8761:27]
78498s (1 curve)	1	2+ 3- 7- 89+	2+ 3- -2 7-  6 -4  5 -5
Curve Equation t Generators 78498s1 [1,-1,0,432,26914] 1 [23:-232:1]
78498t (2 curves)	1	2+ 3- 7- 89+	2+ 3-  3 7-  6 -2  3 -5
Curve Equation t Generators 78498t1 [1,-1,0,2637,-264587] 1 [51:-1:1] 78498t2 [1,-1,0,-244323,-46446107] 1 [71895:182323:125]
78498u (1 curve)	0	2+ 3- 7- 89-	2+ 3-  0 7-  0 -2 -5  1
Curve Equation t 78498u1 [1,-1,0,336033,-80353715] 1
78498v (2 curves)	0	2+ 3- 7- 89-	2+ 3-  0 7-  4  2 -2  8
Curve Equation t 78498v1 [1,-1,0,-13092,1539152] 2 78498v2 [1,-1,0,-295332,61769168] 2
78498w (1 curve)	2	2+ 3- 7- 89-	2+ 3- -1 7-  0 -4 -7 -7
Curve Equation t Generators 78498w1 [1,-1,0,-18090,970164] 1 [79:132:1]&[-68:1406:1]
78498x (1 curve)	2	2+ 3- 7- 89-	2+ 3- -1 7- -3  2 -4  2
Curve Equation t Generators 78498x1 [1,-1,0,-756765,811824957] 1 [-591:32736:1]&[-57:29265:1]
78498y (1 curve)	2	2+ 3- 7- 89-	2+ 3- -2 7-  1 -6  2  1
Curve Equation t Generators 78498y1 [1,-1,0,-2718,-12636] 1 [144:1530:1]&[-32:218:1]
78498z (2 curves)	0	2+ 3- 7- 89-	2+ 3- -2 7-  4  0 -2  4
Curve Equation t 78498z1 [1,-1,0,-6183,159165] 2 78498z2 [1,-1,0,11457,889461] 2
78498ba (1 curve)	0	2- 3+ 7+ 89+	2- 3+ -4 7+ -3  2  6 -5
Curve Equation t 78498ba1 [1,-1,1,-24499397,45992840625] 1
78498bb (1 curve)	1	2- 3+ 7+ 89-	2- 3+  0 7+ -3  2 -2  5
Curve Equation t Generators 78498bb1 [1,-1,1,-965,-1935] 1 [-25:90:1]
78498bc (1 curve)	1	2- 3+ 7+ 89-	2- 3+ -1 7+ -6 -2 -4 -2
Curve Equation t Generators 78498bc1 [1,-1,1,-13313,-399815] 1 [-95:74:1]
78498bd (1 curve)	1	2- 3+ 7+ 89-	2- 3+ -3 7+ -1  4 -2 -8
Curve Equation t Generators 78498bd1 [1,-1,1,23731,1470907] 1 [-844:69187:64]
78498be (1 curve)	1	2- 3+ 7- 89+	2- 3+  0 7- -3 -2  2 -5
Curve Equation t Generators 78498be1 [1,-1,1,-20,11] 1 [-3:7:1]
78498bf (1 curve)	1	2- 3+ 7- 89+	2- 3+  0 7- -4 -4 -1 -1
Curve Equation t Generators 78498bf1 [1,-1,1,-64910,6389821] 1 [79:-1363:1]
78498bg (1 curve)	1	2- 3+ 7- 89+	2- 3+  1 7- -6  2  4  2
Curve Equation t Generators 78498bg1 [1,-1,1,-272,1243] 1 [-17:35:1]
78498bh (1 curve)	1	2- 3+ 7- 89+	2- 3+  3 7- -1 -4  2  8
Curve Equation t Generators 78498bh1 [1,-1,1,484,-4427] 1 [1406:18031:8]
78498bi (1 curve)	0	2- 3+ 7- 89-	2- 3+  4 7-  0  4 -3 -1
Curve Equation t 78498bi1 [1,-1,1,-15518,-4800211] 1
78498bj (1 curve)	0	2- 3+ 7- 89-	2- 3+  4 7- -3 -2 -6  5
Curve Equation t 78498bj1 [1,-1,1,-499988,-133947061] 1
78498bk (2 curves)	1	2- 3- 7+ 89+	2- 3-  0 7+  3  2  3 -4
Curve Equation t Generators 78498bk1 [1,-1,1,-119300,16316633] 1 [6078:149543:8] 78498bk2 [1,-1,1,-9735305,11693993105] 3 [768467430:2462298395:405224]
78498bl (1 curve)	1	2- 3- 7+ 89+	2- 3-  1 7+  0 -2  4  4
Curve Equation t Generators 78498bl1 [1,-1,1,-2175242,1235324913] 1 [-493:47019:1]
78498bm (1 curve)	1	2- 3- 7+ 89+	2- 3- -2 7+  3 -2  2  5
Curve Equation t Generators 78498bm1 [1,-1,1,-97691,11519435] 1 [135:814:1]
78498bn (1 curve)	1	2- 3- 7+ 89+	2- 3-  4 7+  3 -2 -5 -8
Curve Equation t Generators 78498bn1 [1,-1,1,7267,-623451] 1 [59:60:1]
78498bo (1 curve)	0	2- 3- 7+ 89-	2- 3- -1 7+ -1  6  0  6
Curve Equation t 78498bo1 [1,-1,1,-118418,-15654985] 1
78498bp (1 curve)	0	2- 3- 7+ 89-	2- 3-  2 7+ -1 -6 -3  6
Curve Equation t 78498bp1 [1,-1,1,-5694791549,178474843536581] 1
78498bq (1 curve)	0	2- 3- 7+ 89-	2- 3-  3 7+ -2  2  0  2
Curve Equation t 78498bq1 [1,-1,1,-671,6689] 1
78498br (2 curves)	0	2- 3- 7+ 89-	2- 3-  3 7+  3  2  0  2
Curve Equation t 78498br1 [1,-1,1,-2517731411,-49391998877581] 1 78498br2 [1,-1,1,9938359894,-232686481263127] 3
78498bs (1 curve)	0	2- 3- 7- 89+	2- 3-  1 7- -1 -6  0 -6
Curve Equation t 78498bs1 [1,-1,1,-5802467,5381264697] 1
78498bt (1 curve)	0	2- 3- 7- 89+	2- 3- -2 7- -1  6  3 -6
Curve Equation t 78498bt1 [1,-1,1,-116220236,-520301615025] 1
78498bu (1 curve)	0	2- 3- 7- 89+	2- 3- -3 7- -2 -2  0 -2
Curve Equation t 78498bu1 [1,-1,1,-32864,-2228691] 1
78498bv (2 curves)	0	2- 3- 7- 89+	2- 3- -3 7-  3 -2  0 -2
Curve Equation t 78498bv1 [1,-1,1,-51382274,144014677377] 1 78498bv2 [1,-1,1,202823671,678328293129] 1
78498bw (2 curves)	1	2- 3- 7- 89-	2- 3-  0 7-  3 -2 -3  4
Curve Equation t Generators 78498bw1 [1,-1,1,-2435,-46875] 1 [20446:1023063:8] 78498bw2 [1,-1,1,-198680,-34036509] 1 [1042190470:51470755083:405224]
78498bx (1 curve)	1	2- 3- 7- 89-	2- 3-  1 7-  0 -2 -3  5
Curve Equation t Generators 78498bx1 [1,-1,1,-728762,239639033] 1 [457:1143:1]
78498by (1 curve)	1	2- 3- 7- 89-	2- 3- -1 7-  0  2 -4 -4
Curve Equation t Generators 78498by1 [1,-1,1,-44393,-3588847] 1 [-7788:4591:64]
78498bz (1 curve)	1	2- 3- 7- 89-	2- 3- -1 7-  6 -4  1 -5
Curve Equation t Generators 78498bz1 [1,-1,1,2857,-3405] 1 [30:667:8]
78498ca (1 curve)	1	2- 3- 7- 89-	2- 3- -1 7- -6 -4 -7  5
Curve Equation t Generators 78498ca1 [1,-1,1,-11957063,-15940394305] 1 [4195:85710:1]
78498cb (2 curves)	1	2- 3- 7- 89-	2- 3-  2 7-  0  4  2  2
Curve Equation t Generators 78498cb1 [1,-1,1,-19634,916913] 2 [37:471:1] 78498cb2 [1,-1,1,-301874,63912881] 2 [163:4279:1]
78498cc (2 curves)	1	2- 3- 7- 89-	2- 3-  2 7-  0 -4  2  2
Curve Equation t Generators 78498cc1 [1,-1,1,-4713806894,-124566621539587] 2 [-34625372678269962115708974606232536989977751319585038298735696734247878272:17309604795229744310859793860101770497853841176235214237024767718944433839:873518405607741461405206385436901649489314607670461534408542062116864] 78498cc2 [1,-1,1,-4713824534,-124565642604259] 2 [-948262041773808070079460784355060201457088:1405956225736313333320421130485505312180621:23944832140464329230897815364934303744]
78498cd (1 curve)	1	2- 3- 7- 89-	2- 3-  2 7-  3  2 -2 -5
Curve Equation t Generators 78498cd1 [1,-1,1,-1994,-33015] 1 [-25:39:1]
78498ce (2 curves)	1	2- 3- 7- 89-	2- 3- -2 7-  0  4 -6  2
Curve Equation t Generators 78498ce1 [1,-1,1,-40361,-3110299] 2 [-5093738144:1957857519:43614208] 78498ce2 [1,-1,1,-44771,-2385295] 2 [-244592:1223581:4096]
78498cf (1 curve)	1	2- 3- 7- 89-	2- 3- -2 7- -2  0  7  1
Curve Equation t Generators 78498cf1 [1,-1,1,-40361,-4629103] 1 [1185:39538:1]
78498cg (1 curve)	1	2- 3- 7- 89-	2- 3- -3 7-  0  6 -3  7
Curve Equation t Generators 78498cg1 [1,-1,1,-524,117919] 1 [23:-355:1]
78498ch (2 curves)	1	2- 3- 7- 89-	2- 3- -4 7-  0 -4 -2 -2
Curve Equation t Generators 78498ch1 [1,-1,1,208363,211681005] 2 [-193:12912:1] 78498ch2 [1,-1,1,-4307477,3255357165] 2 [807:17040:1]
78498ci (1 curve)	1	2- 3- 7- 89-	2- 3- -4 7-  3  2  5  8
Curve Equation t Generators 78498ci1 [1,-1,1,148,1775] 1 [-3:37:1]

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