Cremona's table of elliptic curves

26800 = 2⁴ · 5² · 67

Class	r	Atkin-Lehner	Eigenvalues
26800a (1 curve)	1	2+ 5+ 67+	2+  0 5+ -2  2  0 -7  5
Curve Equation t Generators 26800a1 [0,0,0,625,18750] 1 [-19:4:1]
26800b (1 curve)	1	2+ 5+ 67+	2+  0 5+ -2  2 -6 -1 -1
Curve Equation t Generators 26800b1 [0,0,0,-100700,12543500] 1 [-215:4925:1]
26800c (1 curve)	1	2+ 5+ 67+	2+  1 5+  1  0  2  6  4
Curve Equation t Generators 26800c1 [0,1,0,-2008,64363] 1 [69:509:1]
26800d (1 curve)	1	2+ 5+ 67+	2+ -2 5+ -2  4  0  5  4
Curve Equation t Generators 26800d1 [0,1,0,-833,-22037] 1 [31396:694819:64]
26800e (1 curve)	1	2+ 5+ 67+	2+ -2 5+ -2 -4  6  1 -5
Curve Equation t Generators 26800e1 [0,1,0,1367,-2637] 1 [38:325:1]
26800f (1 curve)	0	2+ 5+ 67-	2+  0 5+  1  1  2 -2  6
Curve Equation t 26800f1 [0,0,0,-1655675,-827581750] 1
26800g (1 curve)	0	2+ 5+ 67-	2+  0 5+  2  2 -4  1 -1
Curve Equation t 26800g1 [0,0,0,-23750,1446875] 1
26800h (1 curve)	2	2+ 5+ 67-	2+ -1 5+ -1  0 -2 -2 -4
Curve Equation t Generators 26800h1 [0,-1,0,92,-313] 1 [7:25:1]&[47:325:1]
26800i (1 curve)	0	2+ 5+ 67-	2+  2 5+ -3 -1  0  0 -6
Curve Equation t 26800i1 [0,-1,0,-36408,-2664688] 1
26800j (1 curve)	0	2+ 5+ 67-	2+ -3 5+  1 -2  2  4  0
Curve Equation t 26800j1 [0,0,0,-175,-2375] 1
26800k (1 curve)	0	2+ 5- 67+	2+  0 5- -2  2  4 -1 -1
Curve Equation t 26800k1 [0,0,0,-950,11575] 1
26800l (1 curve)	0	2+ 5- 67+	2+  1 5-  1  4 -2  0  4
Curve Equation t 26800l1 [0,1,0,-368,2843] 1
26800m (1 curve)	0	2+ 5- 67+	2+  3 5-  3  2 -2 -6  0
Curve Equation t 26800m1 [0,0,0,-115,-475] 1
26800n (1 curve)	1	2+ 5- 67-	2+  0 5-  2  2  0  7  5
Curve Equation t Generators 26800n1 [0,0,0,25,150] 1 [5:20:1]
26800o (1 curve)	1	2+ 5- 67-	2+ -1 5- -1  4  2  0  4
Curve Equation t Generators 26800o1 [0,-1,0,-9208,373787] 1 [986:8375:8]
26800p (1 curve)	1	2+ 5- 67-	2+  2 5-  2  4  0 -5  4
Curve Equation t Generators 26800p1 [0,-1,0,-33,-163] 1 [106:315:8]
26800q (1 curve)	1	2+ 5- 67-	2+ -3 5- -3  2  2  6  0
Curve Equation t Generators 26800q1 [0,0,0,-2875,-59375] 1 [64:137:1]
26800r (1 curve)	0	2- 5+ 67+	2-  1 5+  5  0 -2 -2 -4
Curve Equation t 26800r1 [0,1,0,-30158,-2025937] 1
26800s (1 curve)	0	2- 5+ 67+	2-  2 5+  2  4  6 -3 -1
Curve Equation t 26800s1 [0,-1,0,67,737] 1
26800t (1 curve)	0	2- 5+ 67+	2- -2 5+  2  0 -2  1 -1
Curve Equation t 26800t1 [0,1,0,-163533,-92038937] 1
26800u (1 curve)	0	2- 5+ 67+	2- -2 5+  2  6  4  1 -7
Curve Equation t 26800u1 [0,1,0,7,-2] 1
26800v (1 curve)	1	2- 5+ 67-	2-  0 5+  1  5  2  6 -2
Curve Equation t Generators 26800v1 [0,0,0,-209675,72408250] 1 [35895:1250000:27]
26800w (1 curve)	1	2- 5+ 67-	2-  0 5+ -2  2  2  3  1
Curve Equation t Generators 26800w1 [0,0,0,-800,-18000] 1 [1505:58375:1]
26800x (1 curve)	1	2- 5+ 67-	2-  0 5+ -2 -4  2 -3  1
Curve Equation t Generators 26800x1 [0,0,0,-515,4610] 1 [1:64:1]
26800y (1 curve)	1	2- 5+ 67-	2-  0 5+  4  0  6 -6  5
Curve Equation t Generators 26800y1 [0,0,0,-5000,137500] 1 [54:158:1]
26800z (1 curve)	1	2- 5+ 67-	2-  0 5+ -5  3 -6  6  2
Curve Equation t Generators 26800z1 [0,0,0,-5075,-144750] 1 [215:2950:1]
26800ba (1 curve)	1	2- 5+ 67-	2-  1 5+  1  6 -2 -4  8
Curve Equation t Generators 26800ba1 [0,1,0,-158,-937] 1 [154:475:8]
26800bb (1 curve)	1	2- 5+ 67-	2- -2 5+  1  3  4 -4  2
Curve Equation t Generators 26800bb1 [0,1,0,17592,5027188] 1 [-132:650:1]
26800bc (2 curves)	1	2- 5+ 67-	2- -2 5+ -1 -3  4  0 -2
Curve Equation t Generators 26800bc1 [0,1,0,992,-48012] 1 [98:1000:1] 26800bc2 [0,1,0,-9008,1371988] 1 [898:26800:1]
26800bd (2 curves)	1	2- 5+ 67-	2- -2 5+  2  0  4 -3  4
Curve Equation t Generators 26800bd1 [0,1,0,-213,-1277] 1 [2106:34181:8] 26800bd2 [0,1,0,587,-6237] 1 [202:1273:8]
26800be (1 curve)	1	2- 5+ 67-	2- -2 5+ -2  4 -2 -3 -7
Curve Equation t Generators 26800be1 [0,1,0,-4933,131763] 1 [38:25:1]
26800bf (1 curve)	1	2- 5+ 67-	2- -2 5+ -2 -6  4 -7 -1
Curve Equation t Generators 26800bf1 [0,1,0,-60833,5754838] 1 [142:2:1]
26800bg (1 curve)	1	2- 5- 67+	2-  0 5-  2 -4 -2  3  1
Curve Equation t Generators 26800bg1 [0,0,0,-12875,576250] 1 [69:128:1]
26800bh (1 curve)	1	2- 5- 67+	2-  0 5- -4  0 -6  6  5
Curve Equation t Generators 26800bh1 [0,0,0,-200,1100] 1 [10:-10:1]
26800bi (1 curve)	1	2- 5- 67+	2- -1 5-  3 -6  2  2  0
Curve Equation t Generators 26800bi1 [0,-1,0,42,-2213] 1 [13:19:1]
26800bj (1 curve)	1	2- 5- 67+	2-  2 5-  2 -6 -4  7 -1
Curve Equation t Generators 26800bj1 [0,-1,0,-2433,47012] 1 [32:30:1]
26800bk (2 curves)	1	2- 5- 67+	2-  2 5- -2  0 -4  3  4
Curve Equation t Generators 26800bk1 [0,-1,0,-5333,-148963] 1 [402832:2120925:4096] 26800bk2 [0,-1,0,14667,-808963] 1 [653535142789520:-6539176274879901:9966135808000]
26800bl (1 curve)	2	2- 5- 67-	2-  1 5- -3 -6 -2 -2  0
Curve Equation t Generators 26800bl1 [0,1,0,2,-17] 1 [3:5:1]&[27:143:1]
26800bm (1 curve)	0	2- 5- 67-	2-  2 5- -2  6 -4 -1 -7
Curve Equation t 26800bm1 [0,-1,0,167,-588] 1

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