Cremona's table of elliptic curves

80275 = 5² · 13² · 19

Class	r	Atkin-Lehner	Eigenvalues
80275a (3 curves)	1	5+ 13+ 19+	0  2 5+ -1 -3 13+  3 19+
Curve Equation t Generators 80275a1 [0,-1,1,2817,-3482] 1 [10058:1008676:1] 80275a2 [0,-1,1,-39433,-3193357] 1 [4628070903684:464052285464023:460099648] 80275a3 [0,-1,1,-3250433,-2254505732] 1 [411215680183796961142514652197565365428:40670927226908309037416742666276412885291:40609798326280580239738093905937216]
80275b (1 curve)	1	5+ 13+ 19+	0  3 5+ -4  2 13+  2 19+
Curve Equation t Generators 80275b1 [0,0,1,-33377500,-15136986719] 1 [-303223649093129348181:39993727183678238268799:367109375072257791]
80275c (1 curve)	1	5+ 13+ 19+	1  1 5+ -4 -3 13+ -4 19+
Curve Equation t Generators 80275c1 [1,0,1,-251,-1727] 1 [37:181:1]
80275d (1 curve)	1	5+ 13+ 19+	-1  1 5+  2 -3 13+  4 19+
Curve Equation t Generators 80275d1 [1,0,0,-88,-833] 1 [117:1204:1]
80275e (1 curve)	1	5+ 13+ 19+	-1 -2 5+ -1  3 13+  1 19+
Curve Equation t Generators 80275e1 [1,0,0,-48253,4075902] 1 [131:-150:1]
80275f (2 curves)	1	5+ 13+ 19+	-1 -3 5+ -2  5 13+  0 19+
Curve Equation t Generators 80275f1 [1,-1,1,305520,198846522] 1 [-578:106535:8] 80275f2 [1,-1,1,-127395105,-553535779728] 1 [18447909377466682:115018684449801785:1413223313048]
80275g (1 curve)	1	5+ 13+ 19+	-2  1 5+  2  0 13+  2 19+
Curve Equation t Generators 80275g1 [0,1,1,-3098,54604] 1 [17:84:1]
80275h (1 curve)	0	5+ 13+ 19-	1  0 5+ -1 -5 13+ -3 19-
Curve Equation t 80275h1 [1,-1,0,-1637,-43874] 1
80275i (1 curve)	0	5+ 13+ 19-	1  1 5+ -2  3 13+  4 19-
Curve Equation t 80275i1 [1,0,1,-14876,-1815227] 1
80275j (2 curves)	0	5+ 13+ 19-	1 -3 5+  2 -5 13+  0 19-
Curve Equation t 80275j1 [1,-1,0,1808,90091] 1 80275j2 [1,-1,0,-753817,-251776784] 1
80275k (1 curve)	0	5+ 13+ 19-	-1  1 5+  4  3 13+ -4 19-
Curve Equation t 80275k1 [1,0,0,-42338,-3751333] 1
80275l (1 curve)	0	5+ 13- 19+	1 -1 5+ -1  6 13-  2 19+
Curve Equation t 80275l1 [1,1,0,-7400,-253625] 1
80275m (1 curve)	1	5+ 13- 19-	-1 -1 5+  1 -6 13-  2 19-
Curve Equation t Generators 80275m1 [1,1,1,-1250688,-550960844] 1 [37380:503084:27]
80275n (1 curve)	0	5- 13+ 19+	0 -3 5-  4  2 13+ -2 19+
Curve Equation t 80275n1 [0,0,1,-1335100,-121095894] 1
80275o (2 curves)	0	5- 13+ 19+	1  0 5- -2  4 13+  4 19+
Curve Equation t 80275o1 [1,-1,0,53,5136] 2 80275o2 [1,-1,0,-4172,102311] 2
80275p (1 curve)	0	5- 13+ 19+	1  1 5-  2 -3 13+ -6 19+
Curve Equation t 80275p1 [1,0,1,-56,-167] 1
80275q (1 curve)	0	5- 13+ 19+	1  2 5-  1  3 13+ -1 19+
Curve Equation t 80275q1 [1,1,0,-1206325,509487750] 1
80275r (1 curve)	0	5- 13+ 19+	1 -3 5-  1 -2 13+  4 19+
Curve Equation t 80275r1 [1,-1,0,-220492,-49935209] 1
80275s (2 curves)	0	5- 13+ 19+	-1  0 5-  2  4 13+ -4 19+
Curve Equation t 80275s1 [1,-1,1,1320,643322] 2 80275s2 [1,-1,1,-104305,12684572] 2
80275t (1 curve)	0	5- 13+ 19+	-1 -1 5- -2 -3 13+  6 19+
Curve Equation t 80275t1 [1,1,1,-1388,-20844] 1
80275u (1 curve)	0	5- 13+ 19+	-1  3 5- -1 -2 13+ -4 19+
Curve Equation t 80275u1 [1,-1,1,-8820,-397718] 1
80275v (1 curve)	0	5- 13+ 19+	2 -1 5- -2  0 13+ -2 19+
Curve Equation t 80275v1 [0,-1,1,-77458,6980443] 1
80275w (1 curve)	1	5- 13+ 19-	1 -1 5-  2  3 13+  6 19-
Curve Equation t Generators 80275w1 [1,1,0,-234575,-44621000] 1 [309459983761363760930:3437229229862965960035:495931725567192088]
80275x (1 curve)	1	5- 13+ 19-	-1  0 5-  1 -5 13+  3 19-
Curve Equation t Generators 80275x1 [1,-1,1,-40930,-5525178] 1 [1869:79340:1]
80275y (1 curve)	1	5- 13+ 19-	-1  1 5- -2  3 13+ -6 19-
Curve Equation t Generators 80275y1 [1,0,0,-9383,-356968] 1 [1126:7887:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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