Cremona's table of elliptic curves

6890 = 2 · 5 · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
6890a (2 curves)	1	2+ 5+ 13+ 53+	2+  2 5+  2 -2 13+  6 -8
Curve Equation t Generators 6890a1 [1,1,0,-273,533] 2 [-7:50:1] 6890a2 [1,1,0,1007,5397] 2 [114:1215:1]
6890b (1 curve)	1	2+ 5+ 13- 53-	2+ -2 5+ -2 -5 13- -4 -8
Curve Equation t Generators 6890b1 [1,0,1,-39,-598] 1 [23:92:1]
6890c (1 curve)	1	2+ 5- 13+ 53-	2+  1 5- -2  4 13+ -2  3
Curve Equation t Generators 6890c1 [1,0,1,-133,-782] 1 [14:5:1]
6890d (1 curve)	1	2+ 5- 13+ 53-	2+ -2 5- -2 -5 13+  4  0
Curve Equation t Generators 6890d1 [1,0,1,-133,576] 1 [7:-6:1]
6890e (1 curve)	1	2+ 5- 13+ 53-	2+  3 5- -2  0 13+ -6 -5
Curve Equation t Generators 6890e1 [1,-1,0,-3644644,-4597120432] 1 [2573709363197928489667178416707296282235980101345719476118321:672757182716342228061036567290914078526909855727812075317663015:37493414503789374598566132814751924898291824181426426549]
6890f (2 curves)	1	2+ 5- 13- 53+	2+  1 5-  2  0 13- -6 -7
Curve Equation t Generators 6890f1 [1,0,1,52,-494] 3 [190:2527:1] 6890f2 [1,0,1,-3523,-80834] 1 [9056052:114926599:46656]
6890g (2 curves)	1	2+ 5- 13- 53+	2+ -2 5-  2 -3 13-  0 -4
Curve Equation t Generators 6890g1 [1,0,1,164952,1106678] 3 [297:8587:1] 6890g2 [1,0,1,-2196823,-1353255942] 1 [12646117:1210286580:1331]
6890h (4 curves)	1	2+ 5- 13- 53+	2+ -2 5- -4  0 13-  6 -4
Curve Equation t Generators 6890h1 [1,0,1,-2093,32808] 6 [-6:215:1] 6890h2 [1,0,1,2907,166808] 6 [34:535:1] 6890h3 [1,0,1,-39468,-3016342] 2 [-906:959:8] 6890h4 [1,0,1,-26668,-5002902] 2 [221298:6866213:216]
6890i (2 curves)	0	2+ 5- 13- 53-	2+  2 5-  0 -2 13-  2  2
Curve Equation t 6890i1 [1,1,0,-3802,-91836] 2 6890i2 [1,1,0,-3782,-92824] 2
6890j (2 curves)	1	2- 5+ 13+ 53-	2-  0 5+ -2  6 13+ -2  4
Curve Equation t Generators 6890j1 [1,-1,1,-2098,-35603] 2 [-26210:41797:1000] 6890j2 [1,-1,1,-33348,-2335603] 2 [-74102237490:36619179197:704969000]
6890k (2 curves)	1	2- 5+ 13- 53+	2-  0 5+ -2 -2 13-  6  0
Curve Equation t Generators 6890k1 [1,-1,1,-28,31] 2 [-5:7:1] 6890k2 [1,-1,1,-228,-1249] 2 [-9:7:1]
6890l (1 curve)	1	2- 5+ 13- 53+	2-  1 5+  0 -2 13- -2 -1
Curve Equation t Generators 6890l1 [1,0,0,-125591,17122025] 1 [206:-51:1]
6890m (1 curve)	1	2- 5+ 13- 53+	2- -1 5+ -4  6 13- -6 -5
Curve Equation t Generators 6890m1 [1,1,1,39,103] 1 [-1:8:1]
6890n (2 curves)	1	2- 5+ 13- 53+	2-  2 5+  0 -4 13- -2 -4
Curve Equation t Generators 6890n1 [1,1,1,-11,-11] 2 [-26:21:8] 6890n2 [1,1,1,39,-31] 2 [258:727:216]
6890o (4 curves)	1	2- 5- 13- 53-	2-  0 5- -4  0 13-  2  4
Curve Equation t Generators 6890o1 [1,-1,1,-8977,329601] 4 [-9:644:1] 6890o2 [1,-1,1,-9057,323489] 4 [-43:816:1] 6890o3 [1,-1,1,-22837,-883639] 2 [-69:634:1] 6890o4 [1,-1,1,3443,1138489] 4 [287:4926:1]

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