Cremona's table of elliptic curves

3472 = 2⁴ · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
3472a (2 curves)	0	2+ 7+ 31-	2+  0  2 7+  6  0  4  4
Curve Equation t 3472a1 [0,0,0,1,30] 2 3472a2 [0,0,0,-139,618] 2
3472b (2 curves)	0	2+ 7- 31+	2+  0  2 7- -2 -4  0  4
Curve Equation t 3472b1 [0,0,0,-12479,2296670] 2 3472b2 [0,0,0,-348619,79003818] 2
3472c (1 curve)	1	2+ 7- 31-	2+ -1  1 7- -4  4  2  2
Curve Equation t Generators 3472c1 [0,-1,0,0,-32] 1 [4:4:1]
3472d (3 curves)	0	2- 7+ 31+	2- -1  3 7+  0 -4 -6 -2
Curve Equation t 3472d1 [0,-1,0,-64,-1024] 1 3472d2 [0,-1,0,576,27136] 1 3472d3 [0,-1,0,-53984,4848256] 1
3472e (2 curves)	1	2- 7+ 31-	2-  2 -2 7+  2 -4 -2  8
Curve Equation t Generators 3472e1 [0,-1,0,336,-3136] 2 [26:150:1] 3472e2 [0,-1,0,-2224,-29760] 2 [-24:96:1]
3472f (2 curves)	0	2- 7- 31-	2-  0  0 7-  2 -2  2  6
Curve Equation t 3472f1 [0,0,0,-115,306] 2 3472f2 [0,0,0,-755,-7758] 2
3472g (2 curves)	0	2- 7- 31-	2- -2  2 7-  6  4  2  4
Curve Equation t 3472g1 [0,1,0,-512,-4940] 2 3472g2 [0,1,0,-8352,-296588] 2
3472h (1 curve)	0	2- 7- 31-	2-  3 -3 7- -4  4  2 -6
Curve Equation t 3472h1 [0,0,0,-37819,2830826] 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
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