Cremona's table of elliptic curves

1305 = 3² · 5 · 29

Class	r	Atkin-Lehner	Eigenvalues
1305a (1 curve)	1	3+ 5+ 29+	2 3+ 5+ -2 -3 -4 -2 -2
Curve Equation t Generators 1305a1 [0,0,1,27,-61] 1 [18:23:8]
1305b (1 curve)	1	3+ 5- 29-	-2 3+ 5- -2  3 -4  2 -2
Curve Equation t Generators 1305b1 [0,0,1,3,2] 1 [0:1:1]
1305c (4 curves)	0	3- 5+ 29+	1 3- 5+ -4  0  6 -2  8
Curve Equation t 1305c1 [1,-1,0,-270,1215] 2 1305c2 [1,-1,0,-3915,95256] 4 1305c3 [1,-1,0,-62640,6049971] 2 1305c4 [1,-1,0,-3510,115425] 2
1305d (4 curves)	0	3- 5+ 29+	-1 3- 5+  4  4  6 -6 -4
Curve Equation t 1305d1 [1,-1,1,-248,-1438] 2 1305d2 [1,-1,1,-293,-844] 4 1305d3 [1,-1,1,-2318,42896] 2 1305d4 [1,-1,1,1012,-7108] 2
1305e (1 curve)	1	3- 5- 29+	0 3- 5- -2 -1  6 -4 -2
Curve Equation t Generators 1305e1 [0,0,1,708,29605] 1 [13:202:1]
1305f (2 curves)	0	3- 5- 29-	0 3- 5-  2 -3  2  0  2
Curve Equation t 1305f1 [0,0,1,-102,-405] 1 1305f2 [0,0,1,438,-1728] 3
1305g (2 curves)	0	3- 5- 29-	1 3- 5- -2  6  2  2 -2
Curve Equation t 1305g1 [1,-1,0,-24,-37] 2 1305g2 [1,-1,0,21,-190] 2

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

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