Cremona's table of elliptic curves

2385 = 3² · 5 · 53

Class	r	Atkin-Lehner	Eigenvalues
2385a (1 curve)	1	3+ 5+ 53+	2 3+ 5+ -4  6  0 -3  4
Curve Equation t Generators 2385a1 [0,0,1,27,-547] 1 [162:725:8]
2385b (2 curves)	0	3+ 5+ 53-	1 3+ 5+  2  0  6 -6  4
Curve Equation t 2385b1 [1,-1,0,-45,200] 2 2385b2 [1,-1,0,-840,9581] 2
2385c (2 curves)	0	3+ 5- 53+	-1 3+ 5-  2  0  6  6  4
Curve Equation t 2385c1 [1,-1,1,-407,-4994] 2 2385c2 [1,-1,1,-7562,-251126] 2
2385d (1 curve)	1	3+ 5- 53-	-2 3+ 5- -4 -6  0  3  4
Curve Equation t Generators 2385d1 [0,0,1,3,20] 1 [3:-8:1]
2385e (1 curve)	1	3- 5- 53+	0 3- 5- -2  4  0 -5 -4
Curve Equation t Generators 2385e1 [0,0,1,-1992,34330] 1 [58:337:1]
2385f (2 curves)	0	3- 5- 53-	0 3- 5-  2  0 -4 -3  8
Curve Equation t 2385f1 [0,0,1,-4422,-416205] 1 2385f2 [0,0,1,39318,10499112] 3
2385g (2 curves)	0	3- 5- 53-	1 3- 5-  2  0 -6  6 -2
Curve Equation t 2385g1 [1,-1,0,-1239,-16480] 2 2385g2 [1,-1,0,-1194,-17767] 2
2385h (4 curves)	0	3- 5- 53-	-1 3- 5-  0 -4  6 -6  0
Curve Equation t 2385h1 [1,-1,1,193,614] 4 2385h2 [1,-1,1,-932,6014] 4 2385h3 [1,-1,1,-7007,-219976] 2 2385h4 [1,-1,1,-12857,564104] 2
2385i (4 curves)	0	3- 5- 53-	-1 3- 5-  4  4 -2  2  4
Curve Equation t 2385i1 [1,-1,1,-77,-156] 2 2385i2 [1,-1,1,-482,4056] 4 2385i3 [1,-1,1,-7637,258774] 4 2385i4 [1,-1,1,193,14046] 2

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

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