Cremona's table of elliptic curves

1845 = 3² · 5 · 41

Class	r	Atkin-Lehner	Eigenvalues
1845a (1 curve)	1	3+ 5+ 41+	0 3+ 5+ -2  3  4 -5  0
Curve Equation t Generators 1845a1 [0,0,1,-48,128] 1 [6:7:1]
1845b (1 curve)	1	3+ 5- 41-	0 3+ 5- -2 -3  4  5  0
Curve Equation t Generators 1845b1 [0,0,1,-432,-3463] 1 [27:67:1]
1845c (4 curves)	0	3- 5+ 41+	1 3- 5+ -4  0 -2  6  0
Curve Equation t 1845c1 [1,-1,0,-195,-1000] 2 1845c2 [1,-1,0,-240,-469] 4 1845c3 [1,-1,0,-2085,36800] 2 1845c4 [1,-1,0,885,-4294] 2
1845d (2 curves)	1	3- 5+ 41-	-1 3- 5+  2  0 -4 -4  0
Curve Equation t Generators 1845d1 [1,-1,1,-23,6] 2 [-4:6:1] 1845d2 [1,-1,1,-248,-1434] 2 [-9:6:1]
1845e (1 curve)	1	3- 5- 41+	0 3- 5-  0  1 -4  3 -6
Curve Equation t Generators 1845e1 [0,0,1,708,6480] 1 [68:607:1]
1845f (2 curves)	1	3- 5- 41+	1 3- 5-  2 -6  2 -2 -6
Curve Equation t Generators 1845f1 [1,-1,0,-189,1048] 2 [12:14:1] 1845f2 [1,-1,0,-144,1525] 2 [-4:47:1]
1845g (2 curves)	0	3- 5- 41-	1 3- 5-  0 -2  0  0  2
Curve Equation t 1845g1 [1,-1,0,-54,103] 2 1845g2 [1,-1,0,171,598] 2

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

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