Cremona's table of elliptic curves

12432 = 2⁴ · 3 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
12432a (2 curves)	1	2+ 3+ 7+ 37+	2+ 3+  0 7+  4 -4  0 -2
Curve Equation t Generators 12432a1 [0,-1,0,-28,-224] 2 [12:32:1] 12432a2 [0,-1,0,-768,-7920] 2 [-16:4:1]
12432b (2 curves)	1	2+ 3+ 7+ 37+	2+ 3+  2 7+ -2 -4 -2  0
Curve Equation t Generators 12432b1 [0,-1,0,28,0] 2 [9:30:1] 12432b2 [0,-1,0,-112,112] 2 [-2:18:1]
12432c (2 curves)	0	2+ 3+ 7+ 37-	2+ 3+  0 7+  0 -6 -4  0
Curve Equation t 12432c1 [0,-1,0,-28883,-1875582] 2 12432c2 [0,-1,0,-17948,-3323376] 2
12432d (2 curves)	0	2+ 3+ 7+ 37-	2+ 3+  0 7+  4  2 -4 -4
Curve Equation t 12432d1 [0,-1,0,-523,4330] 2 12432d2 [0,-1,0,692,20368] 2
12432e (2 curves)	0	2+ 3+ 7- 37+	2+ 3+ -2 7-  0  4  2  6
Curve Equation t 12432e1 [0,-1,0,-579,-5166] 2 12432e2 [0,-1,0,-764,-1392] 2
12432f (4 curves)	1	2+ 3+ 7- 37-	2+ 3+  2 7-  4 -2 -2 -8
Curve Equation t Generators 12432f1 [0,-1,0,-607,-5558] 2 [822:1540:27] 12432f2 [0,-1,0,-652,-4640] 4 [92:840:1] 12432f3 [0,-1,0,-3592,80032] 4 [4518:303622:1] 12432f4 [0,-1,0,1568,-31280] 2 [24:140:1]
12432g (2 curves)	1	2+ 3+ 7- 37-	2+ 3+ -4 7-  0 -2  0 -8
Curve Equation t Generators 12432g1 [0,-1,0,-12915,-226314] 2 [-46:518:1] 12432g2 [0,-1,0,46620,-1774224] 2 [185:3626:1]
12432h (2 curves)	0	2+ 3- 7+ 37+	2+ 3- -2 7+  0  4  2  6
Curve Equation t 12432h1 [0,1,0,-19,-28] 2 12432h2 [0,1,0,-124,476] 2
12432i (2 curves)	2	2+ 3- 7+ 37+	2+ 3- -4 7+ -4 -4 -4  2
Curve Equation t Generators 12432i1 [0,1,0,140,284] 2 [-1:12:1]&[2:24:1] 12432i2 [0,1,0,-600,1764] 2 [-24:54:1]&[-18:84:1]
12432j (2 curves)	1	2+ 3- 7+ 37-	2+ 3-  0 7+  0 -2  4 -4
Curve Equation t Generators 12432j1 [0,1,0,37,0] 2 [36:222:1] 12432j2 [0,1,0,-148,-148] 2 [-2:12:1]
12432k (1 curve)	1	2+ 3- 7+ 37-	2+ 3- -1 7+ -3  1 -2  4
Curve Equation t Generators 12432k1 [0,1,0,-201,-1197] 1 [78:681:1]
12432l (4 curves)	1	2+ 3- 7+ 37-	2+ 3-  2 7+  0 -2 -2  4
Curve Equation t Generators 12432l1 [0,1,0,-37847,3171252] 2 [185913588:2796398765:592704] 12432l2 [0,1,0,-626092,190468460] 4 [34041:1012690:27] 12432l3 [0,1,0,-646672,177256100] 2 [-584:18870:1] 12432l4 [0,1,0,-10017432,12200114052] 4 [697896843:7428257270:328509]
12432m (4 curves)	1	2+ 3- 7+ 37-	2+ 3-  2 7+ -4 -6  6  0
Curve Equation t Generators 12432m1 [0,1,0,-127,-568] 2 [-412:315:64] 12432m2 [0,1,0,-372,1980] 4 [3:30:1] 12432m3 [0,1,0,-5552,157380] 2 [16:270:1] 12432m4 [0,1,0,888,13572] 4 [87:870:1]
12432n (1 curve)	1	2+ 3- 7+ 37-	2+ 3- -3 7+  0 -2 -2 -1
Curve Equation t Generators 12432n1 [0,1,0,-15912,-874476] 1 [180:1458:1]
12432o (1 curve)	1	2+ 3- 7- 37+	2+ 3-  1 7- -1 -3  2 -4
Curve Equation t Generators 12432o1 [0,1,0,2975,-8869] 1 [14:189:1]
12432p (1 curve)	1	2+ 3- 7- 37+	2+ 3-  1 7-  2  0 -4 -1
Curve Equation t Generators 12432p1 [0,1,0,-120,1332] 1 [12:-42:1]
12432q (2 curves)	1	2+ 3- 7- 37+	2+ 3- -2 7-  2  0  2 -4
Curve Equation t Generators 12432q1 [0,1,0,-124,-8404] 2 [50:336:1] 12432q2 [0,1,0,-6984,-225180] 2 [-48:42:1]
12432r (2 curves)	1	2+ 3- 7- 37+	2+ 3- -2 7-  4 -4 -6  2
Curve Equation t Generators 12432r1 [0,1,0,-19,-4] 2 [698:6549:8] 12432r2 [0,1,0,-204,-1188] 2 [18:36:1]
12432s (2 curves)	1	2+ 3- 7- 37+	2+ 3- -2 7- -4  0  2  2
Curve Equation t Generators 12432s1 [0,1,0,-3099,65376] 2 [36:42:1] 12432s2 [0,1,0,-3284,56940] 2 [-2:252:1]
12432t (4 curves)	0	2+ 3- 7- 37-	2+ 3-  2 7-  4 -2  6 -4
Curve Equation t 12432t1 [0,1,0,-407,-4632] 2 12432t2 [0,1,0,-7252,-240100] 4 12432t3 [0,1,0,-116032,-15251740] 2 12432t4 [0,1,0,-7992,-188892] 4
12432u (2 curves)	0	2+ 3- 7- 37-	2+ 3- -4 7-  4  2  8  8
Curve Equation t 12432u1 [0,1,0,-595,-6076] 2 12432u2 [0,1,0,-9660,-368676] 2
12432v (2 curves)	0	2- 3+ 7+ 37+	2- 3+  0 7+ -4  2  0 -6
Curve Equation t 12432v1 [0,-1,0,-23150373,-42865061472] 2 12432v2 [0,-1,0,-23686188,-40776240276] 2
12432w (2 curves)	2	2- 3+ 7+ 37+	2- 3+  0 7+ -4 -4  0 -6
Curve Equation t Generators 12432w1 [0,-1,0,-768,9216] 2 [-30:66:1]&[0:96:1] 12432w2 [0,-1,0,-12608,549120] 2 [-110:770:1]&[-16:864:1]
12432x (1 curve)	0	2- 3+ 7+ 37+	2- 3+  1 7+  4 -6 -6 -7
Curve Equation t 12432x1 [0,-1,0,-10120,-388496] 1
12432y (1 curve)	0	2- 3+ 7+ 37+	2- 3+ -1 7+  1 -5 -2  4
Curve Equation t 12432y1 [0,-1,0,139,-21891] 1
12432z (2 curves)	0	2- 3+ 7+ 37+	2- 3+  2 7+ -2  4 -2  4
Curve Equation t 12432z1 [0,-1,0,-2352,47040] 2 12432z2 [0,-1,0,-38192,2885568] 2
12432ba (2 curves)	0	2- 3+ 7+ 37+	2- 3+ -2 7+ -2  0 -6  8
Curve Equation t 12432ba1 [0,-1,0,19656,-571536] 2 12432ba2 [0,-1,0,-90104,-4786320] 2
12432bb (2 curves)	0	2- 3+ 7+ 37+	2- 3+  4 7+ -4 -6  4  2
Curve Equation t 12432bb1 [0,-1,0,-61,88] 2 12432bb2 [0,-1,0,-796,8908] 2
12432bc (2 curves)	0	2- 3+ 7+ 37+	2- 3+ -4 7+  4  4  4 -2
Curve Equation t 12432bc1 [0,-1,0,2680,1560816] 2 12432bc2 [0,-1,0,-186760,30355696] 2
12432bd (4 curves)	1	2- 3+ 7+ 37-	2- 3+  0 7+  0 -4  0  4
Curve Equation t Generators 12432bd1 [0,-1,0,-1713,-26064] 2 [-1660:1001:64] 12432bd2 [0,-1,0,-27228,-1720260] 2 [974083:25594972:1331] 12432bd3 [0,-1,0,-17913,919044] 2 [-60:1332:1] 12432bd4 [0,-1,0,-33348,-883764] 2 [425:7844:1]
12432be (2 curves)	1	2- 3+ 7+ 37-	2- 3+ -3 7+ -3 -1 -6  4
Curve Equation t Generators 12432be1 [0,-1,0,-77,-399] 1 [17:54:1] 12432be2 [0,-1,0,643,7089] 1 [29:-222:1]
12432bf (3 curves)	1	2- 3+ 7+ 37-	2- 3+ -3 7+  6 -4  0  7
Curve Equation t Generators 12432bf1 [0,-1,0,-76272,-8156736] 1 [75554:20767318:1] 12432bf2 [0,-1,0,252048,-42675264] 1 [386:10582:1] 12432bf3 [0,-1,0,-2546832,2233176384] 1 [1202:30118:1]
12432bg (2 curves)	1	2- 3+ 7- 37+	2- 3+  0 7-  4  2  0  2
Curve Equation t Generators 12432bg1 [0,-1,0,-453,3528] 2 [4:42:1] 12432bg2 [0,-1,0,-7068,231084] 2 [410:231:8]
12432bh (1 curve)	1	2- 3+ 7- 37+	2- 3+ -3 7-  4  2 -6 -1
Curve Equation t Generators 12432bh1 [0,-1,0,608,-22784] 1 [42:274:1]
12432bi (1 curve)	0	2- 3+ 7- 37-	2- 3+  1 7-  3 -5  2  4
Curve Equation t 12432bi1 [0,-1,0,-5,-147] 1
12432bj (1 curve)	0	2- 3+ 7- 37-	2- 3+  1 7-  6  4 -4  5
Curve Equation t 12432bj1 [0,-1,0,280,-2832] 1
12432bk (4 curves)	0	2- 3+ 7- 37-	2- 3+ -2 7-  0 -2  2  4
Curve Equation t 12432bk1 [0,-1,0,-20984,1177008] 2 12432bk2 [0,-1,0,-21064,1167664] 4 12432bk3 [0,-1,0,-41784,-1484496] 2 12432bk4 [0,-1,0,-1624,3220528] 4
12432bl (4 curves)	0	2- 3+ 7- 37-	2- 3+ -2 7-  0 -2  2 -4
Curve Equation t 12432bl1 [0,-1,0,-1624,-11792] 2 12432bl2 [0,-1,0,-22104,-1256976] 4 12432bl3 [0,-1,0,-353624,-80821776] 2 12432bl4 [0,-1,0,-18264,-1711632] 4
12432bm (2 curves)	0	2- 3+ 7- 37-	2- 3+  4 7-  0  4 -4  8
Curve Equation t 12432bm1 [0,-1,0,-6601,108328] 2 12432bm2 [0,-1,0,-90636,10528668] 2
12432bn (2 curves)	1	2- 3- 7+ 37+	2- 3-  0 7+  4 -4 -8  2
Curve Equation t Generators 12432bn1 [0,1,0,37792,226932] 2 [618:15207:8] 12432bn2 [0,1,0,-151648,1666676] 2 [-70:3456:1]
12432bo (1 curve)	1	2- 3- 7+ 37+	2- 3-  3 7+  1 -1 -2 -4
Curve Equation t Generators 12432bo1 [0,1,0,-2709,53379] 1 [30:3:1]
12432bp (1 curve)	1	2- 3- 7+ 37+	2- 3- -3 7+ -2 -4  4  5
Curve Equation t Generators 12432bp1 [0,1,0,-112,-556] 1 [28:138:1]
12432bq (2 curves)	0	2- 3- 7+ 37-	2- 3-  0 7+  4  4  0  0
Curve Equation t 12432bq1 [0,1,0,-113,426] 2 12432bq2 [0,1,0,-148,104] 2
12432br (1 curve)	0	2- 3- 7+ 37-	2- 3-  1 7+  0 -2 -2  7
Curve Equation t 12432br1 [0,1,0,840,46932] 1
12432bs (4 curves)	0	2- 3- 7+ 37-	2- 3- -2 7+  0  2 -6 -4
Curve Equation t 12432bs1 [0,1,0,-224,-2124] 2 12432bs2 [0,1,0,-4144,-104044] 4 12432bs3 [0,1,0,-66304,-6593548] 2 12432bs4 [0,1,0,-4704,-74700] 4
12432bt (2 curves)	0	2- 3- 7+ 37-	2- 3-  4 7+  0  4  4  4
Curve Equation t 12432bt1 [0,1,0,-1001,11862] 2 12432bt2 [0,1,0,-1036,10952] 2
12432bu (1 curve)	0	2- 3- 7- 37+	2- 3- -1 7-  3 -1  6  4
Curve Equation t 12432bu1 [0,1,0,-14341,-1529329] 1
12432bv (2 curves)	0	2- 3- 7- 37+	2- 3-  2 7- -6 -4  6  4
Curve Equation t 12432bv1 [0,1,0,-112,980] 2 12432bv2 [0,1,0,-2352,43092] 2
12432bw (2 curves)	1	2- 3- 7- 37-	2- 3-  0 7-  0  4 -8 -8
Curve Equation t Generators 12432bw1 [0,1,0,-33,-18] 2 [6:6:1] 12432bw2 [0,1,0,-348,2376] 2 [159:1998:1]
12432bx (1 curve)	1	2- 3- 7- 37-	2- 3-  1 7- -1 -1  2 -4
Curve Equation t Generators 12432bx1 [0,1,0,-40511205,-99269123373] 1 [22302:3176523:1]
12432by (1 curve)	1	2- 3- 7- 37-	2- 3-  1 7-  4 -6  2  1
Curve Equation t Generators 12432by1 [0,1,0,-6480,255636] 1 [-36:666:1]
12432bz (4 curves)	1	2- 3- 7- 37-	2- 3- -2 7- -4  2  2 -4
Curve Equation t Generators 12432bz1 [0,1,0,-264,-1740] 2 [498:64:27] 12432bz2 [0,1,0,-344,-684] 4 [-9:42:1] 12432bz3 [0,1,0,-3304,71540] 4 [-28:378:1] 12432bz4 [0,1,0,1336,-4044] 2 [39:330:1]

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