Cremona's table of elliptic curves

57232 = 2⁴ · 7² · 73

Class	r	Atkin-Lehner	Eigenvalues
57232a (1 curve)	0	2- 7+ 73+	2-  2 -2 7+  3  0  2  6
Curve Equation t 57232a1 [0,-1,0,-3544,-1012752] 1
57232b (1 curve)	1	2- 7+ 73-	2-  0 -2 7+  3  4 -4  6
Curve Equation t Generators 57232b1 [0,0,0,49,-294] 1 [14:56:1]
57232c (1 curve)	1	2- 7+ 73-	2- -1 -1 7+  0 -5 -2 -1
Curve Equation t Generators 57232c1 [0,-1,0,-1976,34672] 1 [12:112:1]
57232d (2 curves)	1	2- 7+ 73-	2- -1  3 7+  0 -1  6  7
Curve Equation t Generators 57232d1 [0,-1,0,-11747864,-15494470928] 1 [678075741108186558530529540:-1075113640515858844845048896:171265616185327844300875] 57232d2 [0,-1,0,-11446024,-16328646928] 1 [957147746780:138116160118784:44738875]
57232e (1 curve)	1	2- 7+ 73-	2-  3  1 7+  0  5 -6 -5
Curve Equation t Generators 57232e1 [0,0,0,3773,4802] 1 [147:4312:27]
57232f (4 curves)	1	2- 7- 73+	2-  0  2 7-  0  2 -2  0
Curve Equation t Generators 57232f1 [0,0,0,-259259,56385770] 2 [4207:270970:1] 57232f2 [0,0,0,-4273339,3400114410] 4 [1500345:89706870:343] 57232f3 [0,0,0,-4398779,3189902058] 2 [1221381:16672544:729] 57232f4 [0,0,0,-68373179,217608959722] 2 [144999142747151:4351864396197690:23124766049]
57232g (1 curve)	1	2- 7- 73+	2-  0  2 7-  3 -4  4 -6
Curve Equation t Generators 57232g1 [0,0,0,2401,100842] 1 [2209834:90083300:1331]
57232h (2 curves)	1	2- 7- 73+	2-  0 -2 7-  2  6 -2  8
Curve Equation t Generators 57232h1 [0,0,0,-931,-6174] 2 [65:456:1] 57232h2 [0,0,0,2989,-44590] 2 [1461:14174:27]
57232i (2 curves)	1	2- 7- 73+	2-  0 -4 7- -6  4 -6 -4
Curve Equation t Generators 57232i1 [0,0,0,-66787,-6328350] 2 [-126:294:1] 57232i2 [0,0,0,-192227,24404450] 2 [-161:7154:1]
57232j (1 curve)	1	2- 7- 73+	2-  1  1 7-  0  5  2  1
Curve Equation t Generators 57232j1 [0,1,0,-96840,-11698828] 1 [7067799778:102512137456:15069223]
57232k (2 curves)	1	2- 7- 73+	2-  1 -3 7-  0  1 -6 -7
Curve Equation t Generators 57232k1 [0,1,0,-239752,45104884] 1 [7626:64:27] 57232k2 [0,1,0,-233592,47538644] 1 [-5982:253952:27]
57232l (2 curves)	1	2- 7- 73+	2- -2 -2 7-  6  2  2 -2
Curve Equation t Generators 57232l1 [0,1,0,6256,-12524] 2 [66:832:1] 57232l2 [0,1,0,-25104,-125420] 2 [-78:1168:1]
57232m (1 curve)	1	2- 7- 73+	2- -3 -1 7-  0 -5  6  5
Curve Equation t Generators 57232m1 [0,0,0,77,-14] 1 [1:8:1]
57232n (1 curve)	0	2- 7- 73-	2- -2  2 7-  3  0 -2 -6
Curve Equation t 57232n1 [0,1,0,-72,2932] 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