Cremona's table of elliptic curves

18513 = 3² · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
18513a (2 curves)	0	3+ 11- 17+	1 3+ -2  2 11-  2 17+ -8
Curve Equation t 18513a1 [1,-1,0,-72078,-4924441] 2 18513a2 [1,-1,0,205617,-33860260] 2
18513b (2 curves)	0	3+ 11- 17+	1 3+  4  2 11-  2 17+ -2
Curve Equation t 18513b1 [1,-1,0,-91044960,-333228300157] 2 18513b2 [1,-1,0,-1455360495,-21369609534322] 2
18513c (1 curve)	0	3+ 11- 17+	-2 3+  1  2 11-  5 17+  1
Curve Equation t 18513c1 [0,0,1,-3267,80858] 1
18513d (2 curves)	1	3+ 11- 17-	-1 3+  2  2 11-  2 17- -8
Curve Equation t Generators 18513d1 [1,-1,1,-8009,185056] 2 [8:344:1] 18513d2 [1,-1,1,22846,1246468] 2 [371:7604:1]
18513e (2 curves)	1	3+ 11- 17-	-1 3+ -4  2 11-  2 17- -2
Curve Equation t Generators 18513e1 [1,-1,1,-10116107,12345160930] 2 [1004:56065:1] 18513e2 [1,-1,1,-161706722,791520922030] 2 [7549:27080:1]
18513f (1 curve)	1	3+ 11- 17-	2 3+ -1  2 11-  5 17-  1
Curve Equation t Generators 18513f1 [0,0,1,-363,-2995] 1 [367686:1699849:10648]
18513g (1 curve)	0	3- 11+ 17+	0 3-  0  3 11+ -6 17+  6
Curve Equation t 18513g1 [0,0,1,39930,3180757] 1
18513h (2 curves)	0	3- 11+ 17+	1 3-  0  2 11+  0 17+ -4
Curve Equation t 18513h1 [1,-1,0,-1062,-4185] 2 18513h2 [1,-1,0,-9477,354294] 2
18513i (1 curve)	1	3- 11+ 17-	0 3-  0 -3 11+  6 17- -6
Curve Equation t Generators 18513i1 [0,0,1,330,-2390] 1 [88:841:1]
18513j (2 curves)	1	3- 11+ 17-	-1 3-  0 -2 11+  0 17-  4
Curve Equation t Generators 18513j1 [1,-1,1,-128525,5955788] 2 [-92:4168:1] 18513j2 [1,-1,1,-1146740,-468125116] 2 [-71395:101304:125]
18513k (1 curve)	1	3- 11- 17+	0 3-  2 -1 11-  6 17+  6
Curve Equation t Generators 18513k1 [0,0,1,-293304,61739433] 1 [1001:27769:1]
18513l (1 curve)	1	3- 11- 17+	0 3-  2  3 11- -2 17+ -2
Curve Equation t Generators 18513l1 [0,0,1,-4061244,-3150195161] 1 [23756928821399983:976610843694286996:7327383639967]
18513m (2 curves)	1	3- 11- 17+	0 3- -3 -2 11- -2 17+ -2
Curve Equation t Generators 18513m1 [0,0,1,11616,957987] 1 [495:11313:1] 18513m2 [0,0,1,-108174,-31325418] 1 [36036:594441:64]
18513n (2 curves)	1	3- 11- 17+	0 3- -3  4 11-  1 17+  1
Curve Equation t Generators 18513n1 [0,0,1,726,-36270] 1 [26:13:1] 18513n2 [0,0,1,-64614,-6325245] 1 [2386:7727:8]
18513o (1 curve)	1	3- 11- 17+	-2 3-  0  3 11-  4 17+  2
Curve Equation t Generators 18513o1 [0,0,1,-9075,394974] 1 [11:544:1]
18513p (1 curve)	1	3- 11- 17+	-2 3- -2  3 11- -2 17+  5
Curve Equation t Generators 18513p1 [0,0,1,-4979271,-5638216158] 1 [3630:155303:1]
18513q (4 curves)	0	3- 11- 17-	-1 3-  2 -4 11-  2 17-  4
Curve Equation t 18513q1 [1,-1,1,-749,3556] 2 18513q2 [1,-1,1,-6194,-183752] 4 18513q3 [1,-1,1,-98759,-11920994] 2 18513q4 [1,-1,1,-749,-499562] 2
18513r (4 curves)	0	3- 11- 17-	-1 3- -2  0 11-  2 17- -8
Curve Equation t 18513r1 [1,-1,1,-13091,578306] 4 18513r2 [1,-1,1,-18536,55586] 4 18513r3 [1,-1,1,-198221,-33797068] 2 18513r4 [1,-1,1,74029,388820] 2
18513s (1 curve)	0	3- 11- 17-	2 3- -2 -3 11-  2 17- -5
Curve Equation t 18513s1 [0,0,1,-41151,4236075] 1
18513t (1 curve)	0	3- 11- 17-	2 3- -4  5 11- -4 17- -2
Curve Equation t 18513t1 [0,0,1,7623,44921] 1

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