Cremona's table of elliptic curves

71232 = 2⁶ · 3 · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
71232a (1 curve)	1	2+ 3+ 7+ 53+	2+ 3+ -1 7+  5  0 -7  4
Curve Equation t Generators 71232a1 [0,-1,0,-37441,-2803391] 1 [2008:89523:1]
71232b (2 curves)	1	2+ 3+ 7+ 53+	2+ 3+  2 7+  2  6 -4 -8
Curve Equation t Generators 71232b1 [0,-1,0,-1617,-36015] 2 [77224:21459795:1] 71232b2 [0,-1,0,-29057,-1896447] 2 [5331:4240:27]
71232c (4 curves)	1	2+ 3+ 7+ 53+	2+ 3+  2 7+ -4  6  2  4
Curve Equation t Generators 71232c1 [0,-1,0,22063,2585553] 2 [971:30636:1] 71232c2 [0,-1,0,-202657,30136225] 4 [2150736:235447205:50653] 71232c3 [0,-1,0,-889537,-293384255] 2 [-5498442719902320:35177792746003313:12969593012375] 71232c4 [0,-1,0,-3111297,2113304193] 2 [4346113473920895:68678658866259468:3115334495125]
71232d (1 curve)	1	2+ 3+ 7+ 53+	2+ 3+ -3 7+ -3  4  4 -3
Curve Equation t Generators 71232d1 [0,-1,0,-197,-1059] 1 [20:51:1]
71232e (1 curve)	1	2+ 3+ 7+ 53+	2+ 3+ -3 7+ -3 -4 -4 -3
Curve Equation t Generators 71232e1 [0,-1,0,-6626786117,207638653018461] 1 [1744194429332:117690871966299:30664297]
71232f (2 curves)	0	2+ 3+ 7+ 53-	2+ 3+  0 7+  0  6 -6 -4
Curve Equation t 71232f1 [0,-1,0,-168,-630] 2 71232f2 [0,-1,0,-2553,-48807] 2
71232g (1 curve)	2	2+ 3+ 7+ 53-	2+ 3+ -1 7+ -1 -4  0 -7
Curve Equation t Generators 71232g1 [0,-1,0,-281,2259] 1 [-10:63:1]&[-2:53:1]
71232h (4 curves)	0	2+ 3+ 7+ 53-	2+ 3+ -2 7+  0 -2  2 -4
Curve Equation t 71232h1 [0,-1,0,-1569,24225] 2 71232h2 [0,-1,0,-2849,-19551] 4 71232h3 [0,-1,0,10591,-162015] 4 71232h4 [0,-1,0,-36769,-2699231] 2
71232i (1 curve)	0	2+ 3+ 7+ 53-	2+ 3+  3 7+ -3  6  6 -1
Curve Equation t 71232i1 [0,-1,0,7161,289737] 1
71232j (1 curve)	0	2+ 3+ 7+ 53-	2+ 3+  3 7+  5 -4  0 -1
Curve Equation t 71232j1 [0,-1,0,-1639,26101] 1
71232k (1 curve)	2	2+ 3+ 7+ 53-	2+ 3+ -3 7+  3 -4 -3  0
Curve Equation t Generators 71232k1 [0,-1,0,63,3969] 1 [9:-72:1]&[-7:56:1]
71232l (4 curves)	2	2+ 3+ 7- 53+	2+ 3+ -2 7- -4  2 -6 -4
Curve Equation t Generators 71232l1 [0,-1,0,-5789,171405] 2 [-67:504:1]&[-4:441:1] 71232l2 [0,-1,0,-6769,110449] 4 [-39:560:1]&[9:224:1] 71232l3 [0,-1,0,22911,793089] 2 [67:1620:1]&[751:21000:1] 71232l4 [0,-1,0,-52129,-4489055] 2 [-143:144:1]&[-120:155:1]
71232m (1 curve)	0	2+ 3+ 7- 53+	2+ 3+  3 7-  1  2  1  2
Curve Equation t 71232m1 [0,-1,0,-8289,-570303] 1
71232n (1 curve)	0	2+ 3+ 7- 53+	2+ 3+  3 7-  1  4 -3  8
Curve Equation t 71232n1 [0,-1,0,-47489,4161921] 1
71232o (1 curve)	1	2+ 3+ 7- 53-	2+ 3+  1 7-  1 -4  4  5
Curve Equation t Generators 71232o1 [0,-1,0,-5605,165949] 1 [-502:4131:8]
71232p (1 curve)	1	2+ 3+ 7- 53-	2+ 3+  1 7-  3  2 -2 -5
Curve Equation t Generators 71232p1 [0,-1,0,-15,-27] 1 [42:27:8]
71232q (1 curve)	1	2+ 3+ 7- 53-	2+ 3+  1 7- -3  0  0 -7
Curve Equation t Generators 71232q1 [0,-1,0,-3445,-76691] 1 [71890:204987:1000]
71232r (1 curve)	1	2+ 3+ 7- 53-	2+ 3+  1 7- -3  6 -3  2
Curve Equation t Generators 71232r1 [0,-1,0,5215,-36831] 1 [185:2688:1]
71232s (1 curve)	1	2+ 3+ 7- 53-	2+ 3+ -1 7-  3 -4  0  5
Curve Equation t Generators 71232s1 [0,-1,0,209,5209] 1 [448:9477:1]
71232t (1 curve)	1	2+ 3+ 7- 53-	2+ 3+ -1 7- -5  4  0  5
Curve Equation t Generators 71232t1 [0,-1,0,-37751,2835969] 1 [80:567:1]
71232u (4 curves)	1	2+ 3+ 7- 53-	2+ 3+ -2 7-  4  2 -2 -4
Curve Equation t Generators 71232u1 [0,-1,0,-49,-3791] 2 [24:91:1] 71232u2 [0,-1,0,-3969,-93951] 4 [136:1365:1] 71232u3 [0,-1,0,-7329,92193] 2 [1033:33072:1] 71232u4 [0,-1,0,-63329,-6113055] 2 [8760:73385:27]
71232v (2 curves)	1	2+ 3+ 7- 53-	2+ 3+ -3 7- -3 -2  6  1
Curve Equation t Generators 71232v1 [0,-1,0,-917,11469] 1 [20:27:1] 71232v2 [0,-1,0,4843,22989] 1 [92:-1113:1]
71232w (1 curve)	1	2+ 3+ 7- 53-	2+ 3+ -3 7- -5 -4  4 -1
Curve Equation t Generators 71232w1 [0,-1,0,-13727,-638271] 1 [248:3339:1]
71232x (1 curve)	0	2+ 3- 7+ 53+	2+ 3- -1 7+  1  0 -4 -5
Curve Equation t 71232x1 [0,1,0,-293781,-62910477] 1
71232y (1 curve)	0	2+ 3- 7+ 53+	2+ 3- -1 7+  1  0 -7  4
Curve Equation t 71232y1 [0,1,0,173439,-46465569] 1
71232z (1 curve)	0	2+ 3- 7+ 53+	2+ 3- -1 7+  1  4  0 -5
Curve Equation t 71232z1 [0,1,0,-981,-25677] 1
71232ba (1 curve)	0	2+ 3- 7+ 53+	2+ 3-  3 7+ -1  2  1 -2
Curve Equation t 71232ba1 [0,1,0,-8289,570303] 1
71232bb (2 curves)	1	2+ 3- 7+ 53-	2+ 3-  0 7+  4 -6  2  4
Curve Equation t Generators 71232bb1 [0,1,0,-1093,-8149] 2 [5459:403368:1] 71232bb2 [0,1,0,-7953,264879] 2 [-102:159:1]
71232bc (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  1 7+  1 -2  1  2
Curve Equation t Generators 71232bc1 [0,1,0,-2383585,1415632511] 1 [2099:75264:1]
71232bd (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  1 7+ -3  2 -2  5
Curve Equation t Generators 71232bd1 [0,1,0,-15,27] 1 [2:3:1]
71232be (1 curve)	1	2+ 3- 7+ 53-	2+ 3-  1 7+ -5 -2 -2 -1
Curve Equation t Generators 71232be1 [0,1,0,-5,21] 1 [4:9:1]
71232bf (1 curve)	1	2+ 3- 7+ 53-	2+ 3- -1 7+ -3 -4  0 -5
Curve Equation t Generators 71232bf1 [0,1,0,209,-5209] 1 [38:243:1]
71232bg (1 curve)	1	2+ 3- 7+ 53-	2+ 3- -1 7+  5  4  0 -5
Curve Equation t Generators 71232bg1 [0,1,0,-37751,-2835969] 1 [790:21471:1]
71232bh (2 curves)	1	2+ 3- 7+ 53-	2+ 3-  2 7+  2 -2  8  0
Curve Equation t Generators 71232bh1 [0,1,0,63,-2145] 2 [15642:71225:729] 71232bh2 [0,1,0,-2177,-38433] 2 [219:3168:1]
71232bi (2 curves)	1	2+ 3- 7+ 53-	2+ 3-  2 7+ -2  6 -4 -8
Curve Equation t Generators 71232bi1 [0,1,0,277537983,2734588074015] 2 [-39796962447:5922021703680:6539203] 71232bi2 [0,1,0,-2071272257,29055825385503] 2 [182658251:9112485888:4913]
71232bj (4 curves)	1	2+ 3- 7+ 53-	2+ 3- -2 7+  4 -2 -2 -4
Curve Equation t Generators 71232bj1 [0,1,0,-121569,-16348545] 2 [-1590:345:8] 71232bj2 [0,1,0,-142049,-10487169] 4 [-227:3180:1] 71232bj3 [0,1,0,480031,-77049729] 2 [2803:-152640:1] 71232bj4 [0,1,0,-1091809,431531135] 4 [1565:50580:1]
71232bk (1 curve)	1	2+ 3- 7+ 53-	2+ 3- -3 7+  3 -4 -4  7
Curve Equation t Generators 71232bk1 [0,1,0,63,81] 1 [0:9:1]
71232bl (1 curve)	1	2+ 3- 7+ 53-	2+ 3- -3 7+  5 -4  4  1
Curve Equation t Generators 71232bl1 [0,1,0,-13727,638271] 1 [70:159:1]
71232bm (1 curve)	1	2+ 3- 7- 53+	2+ 3-  1 7- -1  0  0 -1
Curve Equation t Generators 71232bm1 [0,1,0,195,-243] 1 [12:63:1]
71232bn (2 curves)	1	2+ 3- 7- 53+	2+ 3- -2 7- -4  0 -6  8
Curve Equation t Generators 71232bn1 [0,1,0,-8289,379647] 2 [-3:636:1] 71232bn2 [0,1,0,-143969,20975871] 2 [211:192:1]
71232bo (2 curves)	1	2+ 3- 7- 53+	2+ 3- -2 7-  6 -2  4  0
Curve Equation t Generators 71232bo1 [0,1,0,1311,19071] 2 [-6:105:1] 71232bo2 [0,1,0,-7649,174975] 2 [19:192:1]
71232bp (1 curve)	1	2+ 3- 7- 53+	2+ 3-  3 7- -3  4  5 -8
Curve Equation t Generators 71232bp1 [0,1,0,60991,574623] 1 [301:6804:1]
71232bq (2 curves)	0	2+ 3- 7- 53-	2+ 3-  0 7-  0  6 -6  4
Curve Equation t 71232bq1 [0,1,0,-168,630] 2 71232bq2 [0,1,0,-2553,48807] 2
71232br (1 curve)	0	2+ 3- 7- 53-	2+ 3- -1 7- -3  6  2  3
Curve Equation t 71232br1 [0,1,0,-6021,-219357] 1
71232bs (2 curves)	0	2+ 3- 7- 53-	2+ 3-  2 7-  0  4  2  0
Curve Equation t 71232bs1 [0,1,0,4543,-143073] 2 71232bs2 [0,1,0,-29377,-1452385] 2
71232bt (1 curve)	0	2+ 3- 7- 53-	2+ 3-  3 7-  3  6  6  1
Curve Equation t 71232bt1 [0,1,0,7161,-289737] 1
71232bu (1 curve)	0	2+ 3- 7- 53-	2+ 3-  3 7-  5  4  0  3
Curve Equation t 71232bu1 [0,1,0,91,2499] 1
71232bv (1 curve)	0	2+ 3- 7- 53-	2+ 3-  3 7- -5 -4  0  1
Curve Equation t 71232bv1 [0,1,0,-1639,-26101] 1
71232bw (1 curve)	2	2+ 3- 7- 53-	2+ 3- -3 7- -3 -4 -3  0
Curve Equation t Generators 71232bw1 [0,1,0,63,-3969] 1 [15:24:1]&[63:504:1]
71232bx (1 curve)	0	2- 3+ 7+ 53+	2- 3+  1 7+  1  0  0  1
Curve Equation t 71232bx1 [0,-1,0,195,243] 1
71232by (2 curves)	0	2- 3+ 7+ 53+	2- 3+ -2 7+  4  0 -6 -8
Curve Equation t 71232by1 [0,-1,0,-8289,-379647] 2 71232by2 [0,-1,0,-143969,-20975871] 2
71232bz (2 curves)	0	2- 3+ 7+ 53+	2- 3+ -2 7+ -6 -2  4  0
Curve Equation t 71232bz1 [0,-1,0,1311,-19071] 2 71232bz2 [0,-1,0,-7649,-174975] 2
71232ca (1 curve)	0	2- 3+ 7+ 53+	2- 3+  3 7+  3  4  5  8
Curve Equation t 71232ca1 [0,-1,0,60991,-574623] 1
71232cb (1 curve)	1	2- 3+ 7+ 53-	2- 3+ -1 7+  3  6  2 -3
Curve Equation t Generators 71232cb1 [0,-1,0,-6021,219357] 1 [36:219:1]
71232cc (2 curves)	1	2- 3+ 7+ 53-	2- 3+  2 7+  0  4  2  0
Curve Equation t Generators 71232cc1 [0,-1,0,4543,143073] 2 [311:5616:1] 71232cc2 [0,-1,0,-29377,1452385] 2 [-1212:90545:64]
71232cd (1 curve)	1	2- 3+ 7+ 53-	2- 3+  3 7+ -3  0 -4  3
Curve Equation t Generators 71232cd1 [0,-1,0,21,-63] 1 [24:117:1]
71232ce (1 curve)	1	2- 3+ 7+ 53-	2- 3+  3 7+ -5  4  0 -3
Curve Equation t Generators 71232ce1 [0,-1,0,91,-2499] 1 [250:1383:8]
71232cf (1 curve)	1	2- 3+ 7+ 53-	2- 3+ -3 7+  1  4 -4 -7
Curve Equation t Generators 71232cf1 [0,-1,0,13,-471] 1 [8:9:1]
71232cg (1 curve)	1	2- 3+ 7- 53+	2- 3+ -1 7- -1  0 -4  5
Curve Equation t Generators 71232cg1 [0,-1,0,-293781,62910477] 1 [456324:2049219:1331]
71232ch (1 curve)	1	2- 3+ 7- 53+	2- 3+ -1 7- -1  0 -7 -4
Curve Equation t Generators 71232ch1 [0,-1,0,173439,46465569] 1 [437:14336:1]
71232ci (1 curve)	1	2- 3+ 7- 53+	2- 3+ -1 7- -1  4  0  5
Curve Equation t Generators 71232ci1 [0,-1,0,-981,25677] 1 [36:189:1]
71232cj (2 curves)	2	2- 3+ 7- 53-	2- 3+  0 7- -4 -6  2 -4
Curve Equation t Generators 71232cj1 [0,-1,0,-1093,8149] 2 [-35:48:1]&[-20:147:1] 71232cj2 [0,-1,0,-7953,-264879] 2 [-55:56:1]&[-48:63:1]
71232ck (1 curve)	0	2- 3+ 7- 53-	2- 3+  1 7- -1 -2  1 -2
Curve Equation t 71232ck1 [0,-1,0,-2383585,-1415632511] 1
71232cl (1 curve)	0	2- 3+ 7- 53-	2- 3+  1 7-  5 -2 -2  1
Curve Equation t 71232cl1 [0,-1,0,-5,-21] 1
71232cm (1 curve)	2	2- 3+ 7- 53-	2- 3+  1 7- -5 -2 -6  7
Curve Equation t Generators 71232cm1 [0,-1,0,-1435,23593] 1 [-32:189:1]&[24:49:1]
71232cn (2 curves)	0	2- 3+ 7- 53-	2- 3+  2 7-  2  6 -4  8
Curve Equation t 71232cn1 [0,-1,0,277537983,-2734588074015] 2 71232cn2 [0,-1,0,-2071272257,-29055825385503] 2
71232co (2 curves)	0	2- 3+ 7- 53-	2- 3+  2 7- -2 -2  8  0
Curve Equation t 71232co1 [0,-1,0,63,2145] 2 71232co2 [0,-1,0,-2177,38433] 2
71232cp (2 curves)	0	2- 3+ 7- 53-	2- 3+  2 7- -4  4  2  0
Curve Equation t 71232cp1 [0,-1,0,-57,-1287] 2 71232cp2 [0,-1,0,-2177,-38175] 2
71232cq (2 curves)	0	2- 3+ 7- 53-	2- 3+  2 7-  6  2 -4  8
Curve Equation t 71232cq1 [0,-1,0,-21932,1255458] 2 71232cq2 [0,-1,0,-14777,2081145] 2
71232cr (4 curves)	0	2- 3+ 7- 53-	2- 3+ -2 7- -4 -2 -2  4
Curve Equation t 71232cr1 [0,-1,0,-121569,16348545] 2 71232cr2 [0,-1,0,-142049,10487169] 4 71232cr3 [0,-1,0,480031,77049729] 4 71232cr4 [0,-1,0,-1091809,-431531135] 2
71232cs (1 curve)	2	2- 3+ 7- 53-	2- 3+ -3 7- -3 -4 -4 -7
Curve Equation t Generators 71232cs1 [0,-1,0,63,-81] 1 [2:7:1]&[18:81:1]
71232ct (4 curves)	1	2- 3- 7+ 53+	2- 3- -2 7+  4  2 -6  4
Curve Equation t Generators 71232ct1 [0,1,0,-5789,-171405] 2 [739:19992:1] 71232ct2 [0,1,0,-6769,-110449] 4 [-70:159:1] 71232ct3 [0,1,0,22911,-793089] 2 [42:495:1] 71232ct4 [0,1,0,-52129,4489055] 2 [149:228:1]
71232cu (1 curve)	1	2- 3- 7+ 53+	2- 3-  3 7+ -1  4 -3 -8
Curve Equation t Generators 71232cu1 [0,1,0,-47489,-4161921] 1 [415:-6912:1]
71232cv (1 curve)	0	2- 3- 7+ 53-	2- 3-  1 7+ -1 -4  4 -5
Curve Equation t 71232cv1 [0,1,0,-5605,-165949] 1
71232cw (1 curve)	0	2- 3- 7+ 53-	2- 3-  1 7+  3  0  0  7
Curve Equation t 71232cw1 [0,1,0,-3445,76691] 1
71232cx (1 curve)	0	2- 3- 7+ 53-	2- 3-  1 7+  3  6 -3 -2
Curve Equation t 71232cx1 [0,1,0,5215,36831] 1
71232cy (1 curve)	0	2- 3- 7+ 53-	2- 3-  1 7+  5 -2 -6 -7
Curve Equation t 71232cy1 [0,1,0,-1435,-23593] 1
71232cz (2 curves)	0	2- 3- 7+ 53-	2- 3-  2 7+  4  4  2  0
Curve Equation t 71232cz1 [0,1,0,-57,1287] 2 71232cz2 [0,1,0,-2177,38175] 2
71232da (2 curves)	0	2- 3- 7+ 53-	2- 3-  2 7+ -6  2 -4 -8
Curve Equation t 71232da1 [0,1,0,-21932,-1255458] 2 71232da2 [0,1,0,-14777,-2081145] 2
71232db (4 curves)	0	2- 3- 7+ 53-	2- 3- -2 7+ -4  2 -2  4
Curve Equation t 71232db1 [0,1,0,-49,3791] 2 71232db2 [0,1,0,-3969,93951] 4 71232db3 [0,1,0,-7329,-92193] 2 71232db4 [0,1,0,-63329,6113055] 2
71232dc (2 curves)	0	2- 3- 7+ 53-	2- 3- -3 7+  3 -2  6 -1
Curve Equation t 71232dc1 [0,1,0,-917,-11469] 1 71232dc2 [0,1,0,4843,-22989] 1
71232dd (1 curve)	2	2- 3- 7- 53+	2- 3- -1 7- -5  0 -7 -4
Curve Equation t Generators 71232dd1 [0,1,0,-37441,2803391] 1 [-223:336:1]&[-97:2352:1]
71232de (2 curves)	0	2- 3- 7- 53+	2- 3-  2 7- -2  6 -4  8
Curve Equation t 71232de1 [0,1,0,-1617,36015] 2 71232de2 [0,1,0,-29057,1896447] 2
71232df (4 curves)	0	2- 3- 7- 53+	2- 3-  2 7-  4  6  2 -4
Curve Equation t 71232df1 [0,1,0,22063,-2585553] 2 71232df2 [0,1,0,-202657,-30136225] 4 71232df3 [0,1,0,-889537,293384255] 2 71232df4 [0,1,0,-3111297,-2113304193] 2
71232dg (1 curve)	0	2- 3- 7- 53+	2- 3- -3 7-  3  4  4  3
Curve Equation t 71232dg1 [0,1,0,-197,1059] 1
71232dh (1 curve)	0	2- 3- 7- 53+	2- 3- -3 7-  3 -4 -4  3
Curve Equation t 71232dh1 [0,1,0,-6626786117,-207638653018461] 1
71232di (1 curve)	1	2- 3- 7- 53-	2- 3- -1 7-  1 -4  0  7
Curve Equation t Generators 71232di1 [0,1,0,-281,-2259] 1 [108:1113:1]
71232dj (4 curves)	1	2- 3- 7- 53-	2- 3- -2 7-  0 -2  2  4
Curve Equation t Generators 71232dj1 [0,1,0,-1569,-24225] 2 [-492100:298395:21952] 71232dj2 [0,1,0,-2849,19551] 4 [-294:2205:8] 71232dj3 [0,1,0,10591,162015] 2 [24690:662697:1000] 71232dj4 [0,1,0,-36769,2699231] 4 [-139:2268:1]
71232dk (1 curve)	1	2- 3- 7- 53-	2- 3-  3 7-  3  0 -4 -3
Curve Equation t Generators 71232dk1 [0,1,0,21,63] 1 [6:21:1]
71232dl (1 curve)	1	2- 3- 7- 53-	2- 3- -3 7- -1  4 -4  7
Curve Equation t Generators 71232dl1 [0,1,0,13,471] 1 [-2:21:1]

Data from Elliptic Curve Data by J. E. Cremona.
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