Cremona's table of elliptic curves

1520 = 2⁴ · 5 · 19

Class	r	Atkin-Lehner	Eigenvalues
1520a (2 curves)	0	2+ 5- 19+	2+  2 5-  0  4  4 -2 19+
Curve Equation t 1520a1 [0,-1,0,-35,-58] 2 1520a2 [0,-1,0,60,-400] 2
1520b (4 curves)	1	2+ 5- 19-	2+  0 5-  0  4 -6 -6 19-
Curve Equation t Generators 1520b1 [0,0,0,-2,-21] 2 [23:110:1] 1520b2 [0,0,0,-127,-546] 4 [194:825:8] 1520b3 [0,0,0,-2027,-35126] 2 [12534:44605:216] 1520b4 [0,0,0,-227,434] 4 [-11:40:1]
1520c (2 curves)	1	2+ 5- 19-	2+  2 5- -4 -4 -4 -2 19-
Curve Equation t Generators 1520c1 [0,-1,0,-26035,1626942] 2 [762:375:8] 1520c2 [0,-1,0,-416660,103658192] 2 [364:300:1]
1520d (2 curves)	1	2+ 5- 19-	2+ -2 5- -4  4  0  6 19-
Curve Equation t Generators 1520d1 [0,1,0,5,0] 2 [4:10:1] 1520d2 [0,1,0,-20,-20] 2 [-2:4:1]
1520e (1 curve)	1	2+ 5- 19-	2+ -3 5-  1 -4  1 -7 19-
Curve Equation t Generators 1520e1 [0,0,0,-67,-926] 1 [53:-380:1]
1520f (2 curves)	0	2- 5+ 19+	2-  0 5+  2  4 -4  6 19+
Curve Equation t 1520f1 [0,0,0,-8,3] 2 1520f2 [0,0,0,-103,402] 2
1520g (1 curve)	0	2- 5+ 19+	2-  3 5+  5  4 -1 -3 19+
Curve Equation t 1520g1 [0,0,0,-763,-8662] 1
1520h (1 curve)	1	2- 5+ 19-	2-  1 5+  1  0 -3 -7 19-
Curve Equation t Generators 1520h1 [0,1,0,24,-76] 1 [4:10:1]
1520i (2 curves)	1	2- 5+ 19-	2- -2 5+ -2  0  6  2 19-
Curve Equation t Generators 1520i1 [0,1,0,-921,-10346] 2 [62:418:1] 1520i2 [0,1,0,884,-44280] 2 [458:3553:8]
1520j (2 curves)	1	2- 5- 19+	2- -1 5-  1  0 -1 -3 19+
Curve Equation t Generators 1520j1 [0,-1,0,-480,6400] 1 [0:80:1] 1520j2 [0,-1,0,-44480,3625600] 1 [120:40:1]

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

Part of Computational Number Theory
Back to Tables and computations