Cremona's table of elliptic curves

26600 = 2³ · 5² · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
26600a (1 curve)	1	2+ 5+ 7+ 19+	2+  0 5+ 7+ -3  4  6 19+
Curve Equation t Generators 26600a1 [0,0,0,25,-5] 1 [6:19:1]
26600b (1 curve)	1	2+ 5+ 7+ 19+	2+  3 5+ 7+ -3  1  0 19+
Curve Equation t Generators 26600b1 [0,0,0,-139375,19981250] 1 [149994:88786:729]
26600c (4 curves)	2	2+ 5+ 7+ 19-	2+  0 5+ 7+ -4 -2 -2 19-
Curve Equation t Generators 26600c1 [0,0,0,-54050,4788625] 4 [-260:1125:1]&[-216:2527:1] 26600c2 [0,0,0,-99175,-4371750] 4 [-270:1650:1]&[-241:2352:1] 26600c3 [0,0,0,366325,-33698250] 2 [95:1400:1]&[234:8052:1] 26600c4 [0,0,0,-1286675,-561309250] 2 [-665:500:1]&[1598406:135778951:216]
26600d (1 curve)	2	2+ 5+ 7+ 19-	2+ -3 5+ 7+ -1 -5 -5 19-
Curve Equation t Generators 26600d1 [0,0,0,2300,-33500] 1 [30:250:1]&[90:950:1]
26600e (1 curve)	0	2+ 5+ 7- 19+	2+ -1 5+ 7- -1 -1  0 19+
Curve Equation t 26600e1 [0,-1,0,-99163,12051992] 1
26600f (1 curve)	0	2+ 5+ 7- 19+	2+ -1 5+ 7-  5  3  2 19+
Curve Equation t 26600f1 [0,-1,0,-1330208,-466403588] 1
26600g (1 curve)	0	2+ 5+ 7- 19+	2+  2 5+ 7- -4  5  6 19+
Curve Equation t 26600g1 [0,-1,0,-8,92] 1
26600h (2 curves)	1	2+ 5+ 7- 19-	2+ -2 5+ 7-  4  4  2 19-
Curve Equation t Generators 26600h1 [0,1,0,-1883,-31262] 2 [-27:25:1] 26600h2 [0,1,0,492,-102512] 2 [68:500:1]
26600i (1 curve)	0	2+ 5- 7+ 19+	2+  1 5- 7+  1  1  6 19+
Curve Equation t 26600i1 [0,1,0,-4208,103088] 1
26600j (1 curve)	0	2+ 5- 7+ 19+	2+  1 5- 7+ -5  5  4 19+
Curve Equation t 26600j1 [0,1,0,-1083,9338] 1
26600k (1 curve)	0	2+ 5- 7+ 19+	2+ -1 5- 7+  5 -3  6 19+
Curve Equation t 26600k1 [0,-1,0,-116583,15360412] 1
26600l (1 curve)	2	2+ 5- 7+ 19+	2+ -2 5- 7+ -3 -2 -2 19+
Curve Equation t Generators 26600l1 [0,1,0,-208,1113] 1 [23:95:1]&[-12:45:1]
26600m (1 curve)	0	2+ 5- 7+ 19+	2+ -2 5- 7+  4  5 -2 19+
Curve Equation t 26600m1 [0,1,0,-172753208,-874056794912] 1
26600n (1 curve)	1	2+ 5- 7+ 19-	2+ -3 5- 7+  1 -5  2 19-
Curve Equation t Generators 26600n1 [0,0,0,-250,625] 1 [0:25:1]
26600o (1 curve)	1	2+ 5- 7- 19+	2+  1 5- 7- -2  6 -7 19+
Curve Equation t Generators 26600o1 [0,1,0,-168,1568] 1 [28:140:1]
26600p (1 curve)	1	2+ 5- 7- 19+	2+  1 5- 7- -3  3  0 19+
Curve Equation t Generators 26600p1 [0,1,0,-708,-4912] 1 [-17:50:1]
26600q (1 curve)	1	2+ 5- 7- 19+	2+ -3 5- 7-  1 -5 -4 19+
Curve Equation t Generators 26600q1 [0,0,0,-769375,-259748750] 1 [-506:28:1]
26600r (1 curve)	0	2- 5+ 7+ 19+	2-  0 5+ 7+ -1 -3  3 19+
Curve Equation t 26600r1 [0,0,0,-5675,-168250] 1
26600s (4 curves)	0	2- 5+ 7+ 19+	2-  0 5+ 7+  4  2 -2 19+
Curve Equation t 26600s1 [0,0,0,-24453050,46909720125] 2 26600s2 [0,0,0,-392106175,2988502373250] 4 26600s3 [0,0,0,-392963675,2974774655750] 2 26600s4 [0,0,0,-6273698675,191264159890750] 2
26600t (4 curves)	0	2- 5+ 7+ 19+	2-  0 5+ 7+ -4  6 -6 19+
Curve Equation t 26600t1 [0,0,0,-138575,19855250] 4 26600t2 [0,0,0,-139075,19704750] 4 26600t3 [0,0,0,-14075,53829750] 2 26600t4 [0,0,0,-272075,-24052250] 2
26600u (1 curve)	2	2- 5+ 7+ 19+	2- -1 5+ 7+ -3 -3  0 19+
Curve Equation t Generators 26600u1 [0,-1,0,-28,-28] 1 [-4:2:1]&[-2:4:1]
26600v (1 curve)	0	2- 5+ 7+ 19+	2-  3 5+ 7+  1  5  4 19+
Curve Equation t 26600v1 [0,0,0,-30775,-2077990] 1
26600w (1 curve)	1	2- 5+ 7- 19+	2-  1 5+ 7-  5  3 -6 19+
Curve Equation t Generators 26600w1 [0,1,0,-4663,121018] 1 [39:1:1]
26600x (1 curve)	1	2- 5+ 7- 19+	2- -1 5+ 7-  1 -1 -6 19+
Curve Equation t Generators 26600x1 [0,-1,0,-168,892] 1 [6:8:1]
26600y (1 curve)	1	2- 5+ 7- 19+	2- -1 5+ 7- -5 -5 -4 19+
Curve Equation t Generators 26600y1 [0,-1,0,-43,92] 1 [1:7:1]
26600z (1 curve)	1	2- 5+ 7- 19+	2-  2 5+ 7- -3 -1  5 19+
Curve Equation t Generators 26600z1 [0,-1,0,74592,-3551188] 1 [857:26250:1]
26600ba (1 curve)	1	2- 5+ 7- 19+	2-  2 5+ 7- -3  2  2 19+
Curve Equation t Generators 26600ba1 [0,-1,0,-5208,149537] 1 [41:57:1]
26600bb (2 curves)	1	2- 5+ 7- 19+	2-  2 5+ 7-  4 -4 -6 19+
Curve Equation t Generators 26600bb1 [0,-1,0,-1883,-39988] 2 [97:825:1] 26600bb2 [0,-1,0,-32508,-2244988] 2 [752:19950:1]
26600bc (1 curve)	1	2- 5+ 7- 19+	2-  2 5+ 7-  4 -5  2 19+
Curve Equation t Generators 26600bc1 [0,-1,0,-6910128,-6989690308] 1 [15769438:306357996:4913]
26600bd (1 curve)	0	2- 5+ 7- 19-	2-  3 5+ 7-  1  5 -2 19-
Curve Equation t 26600bd1 [0,0,0,-10,5] 1
26600be (1 curve)	1	2- 5- 7+ 19+	2-  1 5- 7+ -1  1  0 19+
Curve Equation t Generators 26600be1 [0,1,0,-2479083,1501540838] 1 [883:1325:1]
26600bf (1 curve)	1	2- 5- 7+ 19+	2-  1 5- 7+  5 -3 -2 19+
Curve Equation t Generators 26600bf1 [0,1,0,-53208,-3752512] 1 [-152:920:1]
26600bg (1 curve)	1	2- 5- 7+ 19+	2- -1 5- 7+ -2 -6  7 19+
Curve Equation t Generators 26600bg1 [0,-1,0,-4208,204412] 1 [-58:500:1]
26600bh (1 curve)	1	2- 5- 7+ 19+	2- -2 5- 7+ -4 -5 -6 19+
Curve Equation t Generators 26600bh1 [0,1,0,-208,11088] 1 [8:-100:1]
26600bi (1 curve)	2	2- 5- 7- 19+	2-  0 5- 7- -3 -4 -6 19+
Curve Equation t Generators 26600bi1 [0,0,0,625,-625] 1 [50:475:8]&[25:175:1]
26600bj (1 curve)	2	2- 5- 7- 19+	2- -3 5- 7- -3 -1  0 19+
Curve Equation t Generators 26600bj1 [0,0,0,-5575,159850] 1 [-15:-490:1]&[-50:560:1]

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