Cremona's table of elliptic curves

18496 = 2⁶ · 17²

Class	r	Atkin-Lehner	Eigenvalues
18496a (2 curves)	1	2+ 17+	2+  0  0  2 -4 -2 17+  4
Curve Equation t Generators 18496a1 [0,0,0,-5780,157216] 2 [30:104:1] 18496a2 [0,0,0,5780,707472] 2 [608:15132:1]
18496b (2 curves)	1	2+ 17+	2+  0  0 -2  4 -2 17+ -4
Curve Equation t Generators 18496b1 [0,0,0,-5780,-157216] 2 [-35:47:1] 18496b2 [0,0,0,5780,-707472] 2 [2277:108711:1]
18496c (4 curves)	1	2+ 17+	2+  0 -2 -4  0  2 17+  4
Curve Equation t Generators 18496c1 [0,0,0,-12716,235824] 2 [-51:867:1] 18496c2 [0,0,0,-105196,-12970320] 4 [-202:192:1] 18496c3 [0,0,0,-1677356,-836153296] 2 [9656:939828:1] 18496c4 [0,0,0,-12716,-34980560] 2 [376:3660:1]
18496d (2 curves)	1	2+ 17+	2+  2  0  0  2  6 17+ -4
Curve Equation t Generators 18496d1 [0,-1,0,-9633,-261727] 2 [80793:102176:729] 18496d2 [0,-1,0,-55873,4889409] 2 [321:4464:1]
18496e (2 curves)	1	2+ 17+	2+  2  0  2 -2  2 17+  4
Curve Equation t Generators 18496e1 [0,-1,0,-32753,-830479] 2 [-443975:4319664:15625] 18496e2 [0,-1,0,-425793,-106715455] 2 [-4819116352200:2096713258327:12568078125]
18496f (2 curves)	1	2+ 17+	2+ -2  0 -2  2  2 17+  4
Curve Equation t Generators 18496f1 [0,1,0,-113,-209] 2 [-6:17:1] 18496f2 [0,1,0,-1473,-22241] 2 [-22:1:1]
18496g (4 curves)	1	2+ 17+	2+ -2  0  4  6 -2 17+  4
Curve Equation t Generators 18496g1 [0,1,0,-55873,3128607] 2 [30095:240128:125] 18496g2 [0,1,0,-795713,272874271] 2 [571:2240:1] 18496g3 [0,1,0,-1905473,-1012893665] 2 [63072024015:7436276279936:4492125] 18496g4 [0,1,0,-2090433,-804591713] 2 [56059:13268640:1]
18496h (2 curves)	1	2+ 17+	2+ -2 -2  2 -6 -2 17+  0
Curve Equation t Generators 18496h1 [0,1,0,-5009,53647] 2 [-6:289:1] 18496h2 [0,1,0,18111,428191] 2 [45:1156:1]
18496i (4 curves)	2	2- 17+	2-  0 -2  0  0 -6 17+  0
Curve Equation t Generators 18496i1 [0,0,0,289,0] 2 [68:578:1]&[144:1740:1] 18496i2 [0,0,0,-1156,0] 4 [-16:120:1]&[-2:48:1] 18496i3 [0,0,0,-12716,-550256] 2 [204:2312:1]&[1020:32368:1] 18496i4 [0,0,0,-12716,550256] 2 [70:56:1]&[85:289:1]
18496j (4 curves)	0	2- 17+	2-  0 -2  4  0  2 17+ -4
Curve Equation t 18496j1 [0,0,0,-12716,-235824] 2 18496j2 [0,0,0,-105196,12970320] 4 18496j3 [0,0,0,-1677356,836153296] 2 18496j4 [0,0,0,-12716,34980560] 2
18496k (2 curves)	0	2- 17+	2-  0  4  0  0  6 17+  0
Curve Equation t 18496k1 [0,0,0,17,0] 2 18496k2 [0,0,0,-68,0] 2
18496l (2 curves)	0	2- 17+	2-  0 -4  0  0  6 17+  0
Curve Equation t 18496l1 [0,0,0,4913,0] 2 18496l2 [0,0,0,-19652,0] 2
18496m (2 curves)	0	2- 17+	2-  2  0  2 -2  2 17+ -4
Curve Equation t 18496m1 [0,-1,0,-113,209] 2 18496m2 [0,-1,0,-1473,22241] 2
18496n (4 curves)	0	2- 17+	2-  2  0 -4 -6 -2 17+ -4
Curve Equation t 18496n1 [0,-1,0,-55873,-3128607] 2 18496n2 [0,-1,0,-795713,-272874271] 2 18496n3 [0,-1,0,-1905473,1012893665] 2 18496n4 [0,-1,0,-2090433,804591713] 2
18496o (2 curves)	0	2- 17+	2-  2  2 -2 -2 -2 17+  4
Curve Equation t 18496o1 [0,-1,0,-1252,36810] 2 18496o2 [0,-1,0,-25817,1604057] 2
18496p (2 curves)	0	2- 17+	2-  2 -2 -2  6 -2 17+  0
Curve Equation t 18496p1 [0,-1,0,-5009,-53647] 2 18496p2 [0,-1,0,18111,-428191] 2
18496q (2 curves)	0	2- 17+	2-  2  4  4  2 -2 17+ -8
Curve Equation t 18496q1 [0,-1,0,-7321,235353] 2 18496q2 [0,-1,0,-18881,-677887] 2
18496r (2 curves)	0	2- 17+	2- -2  0  0 -2  6 17+  4
Curve Equation t 18496r1 [0,1,0,-9633,261727] 2 18496r2 [0,1,0,-55873,-4889409] 2
18496s (2 curves)	0	2- 17+	2- -2  0 -2  2  2 17+ -4
Curve Equation t 18496s1 [0,1,0,-32753,830479] 2 18496s2 [0,1,0,-425793,106715455] 2
18496t (2 curves)	0	2- 17+	2- -2  2  2  2 -2 17+ -4
Curve Equation t 18496t1 [0,1,0,-1252,-36810] 2 18496t2 [0,1,0,-25817,-1604057] 2
18496u (2 curves)	0	2- 17+	2- -2  4 -4 -2 -2 17+  8
Curve Equation t 18496u1 [0,1,0,-7321,-235353] 2 18496u2 [0,1,0,-18881,677887] 2

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