Cremona's table of elliptic curves

5075 = 5² · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
5075a (2 curves)	1	5+ 7+ 29+	1 -2 5+ 7+  0  2  0  6
Curve Equation t Generators 5075a1 [1,0,1,-151,-2427] 2 [1659:11857:27] 5075a2 [1,0,1,-3776,-89427] 2 [247:3626:1]
5075b (2 curves)	1	5+ 7+ 29+	-1 -2 5+ 7+ -4  2 -4  2
Curve Equation t Generators 5075b1 [1,0,0,-238,1467] 2 [7:9:1] 5075b2 [1,0,0,-3863,92092] 2 [27:74:1]
5075c (2 curves)	1	5+ 7+ 29+	2  1 5+ 7+  2 -4  2  5
Curve Equation t Generators 5075c1 [0,1,1,492,19] 1 [1514:21021:8] 5075c2 [0,1,1,-53758,-4815981] 1 [12797665142240946:45068283792211169:46881867507112]
5075d (3 curves)	0	5+ 7+ 29-	0 -1 5+ 7+  6  4  6 -7
Curve Equation t 5075d1 [0,-1,1,11205467,-3471742157] 1 5075d2 [0,-1,1,-177809283,-947713217532] 1 5075d3 [0,-1,1,-14556197783,-675953651051907] 1
5075e (1 curve)	0	5+ 7+ 29-	0  3 5+ 7+ -2 -4  6  5
Curve Equation t 5075e1 [0,0,1,50,406] 1
5075f (1 curve)	0	5+ 7+ 29-	0 -3 5+ 7+ -2 -4  3  8
Curve Equation t 5075f1 [0,0,1,-1900,-31899] 1
5075g (1 curve)	0	5+ 7+ 29-	1  1 5+ 7+ -5  5  4 -4
Curve Equation t 5075g1 [1,0,1,-1,-227] 1
5075h (1 curve)	0	5+ 7- 29+	1 -3 5+ 7-  6 -2 -1  7
Curve Equation t 5075h1 [1,-1,0,-742,-16709] 1
5075i (1 curve)	0	5- 7+ 29+	-1  3 5- 7+  6  2  1  7
Curve Equation t 5075i1 [1,-1,1,-30,-128] 1
5075j (1 curve)	0	5- 7- 29-	0  3 5- 7- -2  4 -3  8
Curve Equation t 5075j1 [0,0,1,-47500,-3987344] 1

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

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