Cremona's table of elliptic curves

80997 = 3 · 7² · 19 · 29

Class	r	Atkin-Lehner	Eigenvalues
80997a (1 curve)	1	3+ 7+ 19+ 29+	0 3+  2 7+ -3 -6 -7 19+
Curve Equation t Generators 80997a1 [0,-1,1,167613,3205082936] 1 [840:62752:1]
80997b (1 curve)	1	3+ 7+ 19+ 29+	1 3+ -4 7+  5 -2 -7 19+
Curve Equation t Generators 80997b1 [1,1,0,-9482,-359085] 1 [-76978:46491:1331]
80997c (2 curves)	2	3+ 7- 19+ 29+	1 3+ -2 7- -2 -4 -4 19+
Curve Equation t Generators 80997c1 [1,1,0,-466,-24905] 2 [70:505:1]&[1406:17819:8] 80997c2 [1,1,0,-15901,-775046] 2 [-610:599:8]&[-74:94:1]
80997d (2 curves)	0	3+ 7- 19+ 29+	1 3+  4 7-  0  4 -8 19+
Curve Equation t 80997d1 [1,1,0,-1488,47475] 2 80997d2 [1,1,0,-30923,2078490] 2
80997e (2 curves)	2	3+ 7- 19+ 29+	-1 3+ -2 7-  0  0  4 19+
Curve Equation t Generators 80997e1 [1,1,1,-7779409,-8354809114] 2 [21132:3033205:1]&[-14497172144:7285077805:8998912] 80997e2 [1,1,1,-7792044,-8326324770] 2 [-1700:4130:1]&[-12090:12957:8]
80997f (1 curve)	2	3+ 7- 19+ 29+	-2 3+  1 7- -2  5 -4 19+
Curve Equation t Generators 80997f1 [0,-1,1,-25860,1601354] 1 [58:541:1]&[84:121:1]
80997g (2 curves)	1	3+ 7- 19+ 29-	-1 3+  0 7-  2 -4  6 19+
Curve Equation t Generators 80997g1 [1,1,1,-39103,-2913100] 2 [748:19299:1] 80997g2 [1,1,1,10632,-9756636] 2 [979957:26057850:1331]
80997h (2 curves)	1	3+ 7- 19+ 29-	-1 3+ -2 7-  0  2  4 19+
Curve Equation t Generators 80997h1 [1,1,1,-222582599,877073639420] 2 [4565563275908440:406139023589619061:257138126279] 80997h2 [1,1,1,613313546,5906493564656] 2 [29727939370004355765002135116089:17010366680589876965659970915134790:5574051193457042459883941957]
80997i (1 curve)	1	3+ 7- 19- 29+	0 3+  3 7-  5  2  2 19-
Curve Equation t Generators 80997i1 [0,-1,1,10911,463532] 1 [320:6051:1]
80997j (1 curve)	1	3- 7+ 19- 29+	-2 3- -1 7+ -2 -5  4 19-
Curve Equation t Generators 80997j1 [0,1,1,-1267156,-546730208] 1 [-670:1396:1]
80997k (4 curves)	1	3- 7- 19+ 29+	1 3-  2 7-  0  2  2 19+
Curve Equation t Generators 80997k1 [1,0,1,415,1271] 2 [1110:12671:8] 80997k2 [1,0,1,-1790,10091] 4 [30642:333941:216] 80997k3 [1,0,1,-15755,-755191] 2 [-16166685380:-3987996411:238328000] 80997k4 [1,0,1,-23105,1348673] 2 [10172158940:22085200167:97336000]
80997l (2 curves)	1	3- 7- 19+ 29+	1 3- -2 7- -4  2 -4 19+
Curve Equation t Generators 80997l1 [1,0,1,-165842,23942279] 2 [291:442:1] 80997l2 [1,0,1,182303,111257045] 2 [161750:22924207:8]
80997m (4 curves)	0	3- 7- 19+ 29-	-1 3-  2 7-  0  6  2 19+
Curve Equation t 80997m1 [1,0,0,-318942,69302547] 4 80997m2 [1,0,0,-319187,69190680] 4 80997m3 [1,0,0,-184192,128183495] 2 80997m4 [1,0,0,-458102,3039357] 2
80997n (1 curve)	0	3- 7- 19+ 29-	2 3- -1 7- -3 -6  2 19+
Curve Equation t 80997n1 [0,1,1,-16,-1781] 1
80997o (1 curve)	0	3- 7- 19- 29+	0 3- -2 7- -3  6  7 19-
Curve Equation t 80997o1 [0,1,1,3421,-9343288] 1
80997p (2 curves)	0	3- 7- 19- 29+	1 3- -2 7-  2 -4  4 19-
Curve Equation t 80997p1 [1,0,1,-82787,-9385855] 2 80997p2 [1,0,1,-1333022,-592495459] 2
80997q (1 curve)	0	3- 7- 19- 29+	1 3-  4 7-  5  2  7 19-
Curve Equation t 80997q1 [1,0,1,-194,1019] 1
80997r (2 curves)	0	3- 7- 19- 29+	1 3- -4 7-  0 -4  8 19-
Curve Equation t 80997r1 [1,0,1,-72938,-16502713] 2 80997r2 [1,0,1,-1515253,-717467803] 2
80997s (2 curves)	0	3- 7- 19- 29+	-1 3-  2 7-  0  0 -4 19-
Curve Equation t 80997s1 [1,0,0,-381191042,2864555952915] 2 80997s2 [1,0,0,-381810157,2854783965578] 2
80997t (1 curve)	1	3- 7- 19- 29-	0 3-  3 7- -5  4  7 19-
Curve Equation t Generators 80997t1 [0,1,1,-1339,-59846] 1 [146:1696:1]
80997u (4 curves)	1	3- 7- 19- 29-	-1 3-  2 7-  4  2  2 19-
Curve Equation t Generators 80997u1 [1,0,0,-39397,-2056888] 2 [-157:593:1] 80997u2 [1,0,0,-245442,45209835] 4 [342:969:1] 80997u3 [1,0,0,102703,163230990] 2 [214:13858:1] 80997u4 [1,0,0,-3890307,2953083132] 2 [73044:-27507:64]
80997v (6 curves)	1	3- 7- 19- 29-	-1 3-  2 7- -4 -6 -2 19-
Curve Equation t Generators 80997v1 [1,0,0,-88152,-5128257] 2 [-199:2231:1] 80997v2 [1,0,0,-676397,210522360] 4 [-1410:144765:8] 80997v3 [1,0,0,7888,616850793] 2 [414:198573:8] 80997v4 [1,0,0,-10772602,13608186395] 4 [1910:185:1] 80997v5 [1,0,0,-10722867,13740073668] 2 [1356:40476:1] 80997v6 [1,0,0,-172361617,870967182182] 2 [490004:495143:64]

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