Cremona's table of elliptic curves

40572 = 2² · 3² · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
40572a (2 curves)	1	2- 3+ 7- 23+	2- 3+  2 7-  0  0 -2  8
Curve Equation t Generators 40572a1 [0,0,0,-181104,-29664355] 2 [-218541240814:-16000359285:890277128] 40572a2 [0,0,0,-175959,-31429090] 2 [95957073468179198990:-4091660000063067877115:50017449003980536]
40572b (2 curves)	1	2- 3+ 7- 23+	2- 3+ -2 7-  0  0  2 -8
Curve Equation t Generators 40572b1 [0,0,0,-3696,86485] 2 [63:322:1] 40572b2 [0,0,0,-3591,91630] 2 [14:210:1]
40572c (1 curve)	1	2- 3+ 7- 23+	2- 3+ -2 7- -3  4 -8  5
Curve Equation t Generators 40572c1 [0,0,0,-1176,-23324] 1 [56:294:1]
40572d (2 curves)	1	2- 3+ 7- 23+	2- 3+ -2 7-  4  2 -2  2
Curve Equation t Generators 40572d1 [0,0,0,-1176,-15435] 2 [-9784:3949:512] 40572d2 [0,0,0,-1911,6174] 2 [-6:132:1]
40572e (2 curves)	1	2- 3+ 7- 23+	2- 3+  4 7-  0 -2  4 -4
Curve Equation t Generators 40572e1 [0,0,0,-91728,21751345] 2 [-210:5635:1] 40572e2 [0,0,0,-1856463,972943510] 2 [695:4290:1]
40572f (2 curves)	0	2- 3+ 7- 23-	2- 3+  2 7-  0  0 -2 -8
Curve Equation t 40572f1 [0,0,0,-33264,-2335095] 2 40572f2 [0,0,0,-32319,-2474010] 2
40572g (1 curve)	0	2- 3+ 7- 23-	2- 3+  2 7-  3  4  8  5
Curve Equation t 40572g1 [0,0,0,-10584,629748] 1
40572h (2 curves)	0	2- 3+ 7- 23-	2- 3+  2 7- -4  2  2  2
Curve Equation t 40572h1 [0,0,0,-10584,416745] 2 40572h2 [0,0,0,-17199,-166698] 2
40572i (2 curves)	0	2- 3+ 7- 23-	2- 3+ -2 7-  0  0  2  8
Curve Equation t 40572i1 [0,0,0,-1629936,800937585] 2 40572i2 [0,0,0,-1583631,848585430] 2
40572j (2 curves)	0	2- 3+ 7- 23-	2- 3+ -4 7-  0 -2 -4 -4
Curve Equation t 40572j1 [0,0,0,-825552,-587286315] 2 40572j2 [0,0,0,-16708167,-26269474770] 2
40572k (1 curve)	1	2- 3- 7+ 23+	2- 3-  1 7+  4 -1  1  4
Curve Equation t Generators 40572k1 [0,0,0,-44247,3606302] 1 [-98:2646:1]
40572l (1 curve)	1	2- 3- 7+ 23+	2- 3- -1 7+  0 -1 -1  4
Curve Equation t Generators 40572l1 [0,0,0,1617,4214] 1 [7:126:1]
40572m (1 curve)	1	2- 3- 7+ 23+	2- 3- -2 7+ -2  5  4 -5
Curve Equation t Generators 40572m1 [0,0,0,-3399816,-2710354444] 1 [10045:988281:1]
40572n (1 curve)	2	2- 3- 7+ 23-	2- 3- -4 7+ -2  1 -6  1
Curve Equation t Generators 40572n1 [0,0,0,-2352,59780] 1 [-28:-322:1]&[-35:315:1]
40572o (1 curve)	0	2- 3- 7- 23+	2- 3-  1 7-  0  1  1 -4
Curve Equation t 40572o1 [0,0,0,79233,-1445402] 1
40572p (1 curve)	0	2- 3- 7- 23+	2- 3- -1 7-  4  1 -1 -4
Curve Equation t 40572p1 [0,0,0,-903,-10514] 1
40572q (1 curve)	0	2- 3- 7- 23+	2- 3-  2 7- -2 -5 -4  5
Curve Equation t 40572q1 [0,0,0,-69384,7901908] 1
40572r (1 curve)	0	2- 3- 7- 23+	2- 3- -2 7-  2  1  0  6
Curve Equation t 40572r1 [0,0,0,2499,-416059] 1
40572s (1 curve)	0	2- 3- 7- 23+	2- 3- -2 7- -2  5  4  2
Curve Equation t 40572s1 [0,0,0,-441,9261] 1
40572t (1 curve)	0	2- 3- 7- 23+	2- 3-  4 7-  3  0  2  1
Curve Equation t 40572t1 [0,0,0,672,-6860] 1
40572u (1 curve)	0	2- 3- 7- 23+	2- 3- -4 7-  3  0 -2 -1
Curve Equation t 40572u1 [0,0,0,32928,2352980] 1
40572v (2 curves)	1	2- 3- 7- 23-	2- 3-  0 7-  0  1 -6 -2
Curve Equation t Generators 40572v1 [0,0,0,735,3773] 1 [84:2107:27] 40572v2 [0,0,0,-8085,-341971] 1 [140:1127:1]
40572w (1 curve)	1	2- 3- 7- 23-	2- 3-  0 7-  2  3  0  0
Curve Equation t Generators 40572w1 [0,0,0,735,-59339] 1 [149604:1216229:2197]
40572x (2 curves)	1	2- 3- 7- 23-	2- 3-  0 7- -3 -2  0 -5
Curve Equation t Generators 40572x1 [0,0,0,-211015560,1179857407988] 1 [8197:30429:1] 40572x2 [0,0,0,-65273880,2769688240004] 1 [1645:1633023:1]
40572y (1 curve)	1	2- 3- 7- 23-	2- 3-  0 7-  5  6  4 -7
Curve Equation t Generators 40572y1 [0,0,0,-111720,70574308] 1 [-364:7938:1]
40572z (1 curve)	1	2- 3- 7- 23-	2- 3-  4 7- -2 -1  6 -1
Curve Equation t Generators 40572z1 [0,0,0,-115248,-20504540] 1 [2220:103270:1]

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

Part of Computational Number Theory
Back to Tables and computations