Cremona's table of elliptic curves

7056 = 2⁴ · 3² · 7²

Class	r	Atkin-Lehner	Eigenvalues
7056a (1 curve)	1	2+ 3+ 7+	2+ 3+  1 7+  5  2 -6 -2
Curve Equation t Generators 7056a1 [0,0,0,-147,882] 1 [21:-84:1]
7056b (1 curve)	1	2+ 3+ 7+	2+ 3+ -1 7+ -5  2  6 -2
Curve Equation t Generators 7056b1 [0,0,0,-1323,-23814] 1 [63:378:1]
7056c (1 curve)	1	2+ 3+ 7+	2+ 3+  4 7+  0 -3 -4 -7
Curve Equation t Generators 7056c1 [0,0,0,-12348,528220] 1 [65:15:1]
7056d (1 curve)	1	2+ 3+ 7+	2+ 3+ -4 7+  0 -3  4 -7
Curve Equation t Generators 7056d1 [0,0,0,-111132,-14261940] 1 [2966439:275662953:343]
7056e (1 curve)	0	2+ 3+ 7-	2+ 3+  1 7- -5 -2 -6  2
Curve Equation t 7056e1 [0,0,0,-64827,8168202] 1
7056f (1 curve)	0	2+ 3+ 7-	2+ 3+ -1 7-  5 -2  6  2
Curve Equation t 7056f1 [0,0,0,-7203,-302526] 1
7056g (2 curves)	0	2+ 3+ 7-	2+ 3+  2 7-  2 -2  6 -4
Curve Equation t 7056g1 [0,0,0,-294,3087] 2 7056g2 [0,0,0,-5439,154350] 2
7056h (2 curves)	0	2+ 3+ 7-	2+ 3+  2 7-  6  6 -2  4
Curve Equation t 7056h1 [0,0,0,-294,1715] 2 7056h2 [0,0,0,441,8918] 2
7056i (2 curves)	0	2+ 3+ 7-	2+ 3+ -2 7- -2 -2 -6 -4
Curve Equation t 7056i1 [0,0,0,-2646,-83349] 2 7056i2 [0,0,0,-48951,-4167450] 2
7056j (2 curves)	0	2+ 3+ 7-	2+ 3+ -2 7- -6  6  2  4
Curve Equation t 7056j1 [0,0,0,-2646,-46305] 2 7056j2 [0,0,0,3969,-240786] 2
7056k (1 curve)	0	2+ 3+ 7-	2+ 3+  4 7-  0  3 -4  7
Curve Equation t 7056k1 [0,0,0,-2268,41580] 1
7056l (1 curve)	0	2+ 3+ 7-	2+ 3+ -4 7-  0  3  4  7
Curve Equation t 7056l1 [0,0,0,-252,-1540] 1
7056m (1 curve)	0	2+ 3- 7+	2+ 3-  1 7+ -1  2 -3 -5
Curve Equation t 7056m1 [0,0,0,-3087,-64827] 1
7056n (1 curve)	0	2+ 3- 7+	2+ 3-  1 7+  3  4  0  4
Curve Equation t 7056n1 [0,0,0,17493,-2012038] 1
7056o (1 curve)	0	2+ 3- 7+	2+ 3-  1 7+  3 -6  5 -1
Curve Equation t 7056o1 [0,0,0,-147,637] 1
7056p (1 curve)	0	2+ 3- 7+	2+ 3- -2 7+ -6 -3 -4  5
Curve Equation t 7056p1 [0,0,0,-4116,-278516] 1
7056q (2 curves)	1	2+ 3- 7-	2+ 3-  0 7-  0  4 -4  4
Curve Equation t Generators 7056q1 [0,0,0,5145,-369754] 2 [34349:6366080:1] 7056q2 [0,0,0,-56595,-4605118] 2 [-173:90:1]
7056r (2 curves)	1	2+ 3- 7-	2+ 3-  0 7-  0 -4  4 -4
Curve Equation t Generators 7056r1 [0,0,0,105,1078] 2 [2:36:1] 7056r2 [0,0,0,-1155,13426] 2 [-13:162:1]
7056s (1 curve)	1	2+ 3- 7-	2+ 3- -1 7- -1 -2  3  5
Curve Equation t Generators 7056s1 [0,0,0,-63,189] 1 [4:1:1]
7056t (1 curve)	1	2+ 3- 7-	2+ 3- -1 7-  3 -4  0 -4
Curve Equation t Generators 7056t1 [0,0,0,357,5866] 1 [23:162:1]
7056u (1 curve)	1	2+ 3- 7-	2+ 3- -1 7-  3  6 -5  1
Curve Equation t Generators 7056u1 [0,0,0,-7203,-218491] 1 [-13300:17179:343]
7056v (4 curves)	1	2+ 3- 7-	2+ 3-  2 7-  0  2  6 -4
Curve Equation t Generators 7056v1 [0,0,0,-3234,70315] 2 [23:90:1] 7056v2 [0,0,0,-5439,-37730] 4 [777:21560:1] 7056v3 [0,0,0,-67179,-6693302] 2 [371:4410:1] 7056v4 [0,0,0,21021,-297038] 2 [21:392:1]
7056w (4 curves)	1	2+ 3- 7-	2+ 3-  2 7-  0 -6 -2  4
Curve Equation t Generators 7056w1 [0,0,0,-3234,-459277] 2 [52178:4213755:8] 7056w2 [0,0,0,-111279,-14224210] 4 [-403754:306090:2197] 7056w3 [0,0,0,-1778259,-912726430] 2 [1757:37240:1] 7056w4 [0,0,0,-173019,3322298] 2 [-101:4446:1]
7056x (4 curves)	1	2+ 3- 7-	2+ 3-  2 7- -4 -2 -6  8
Curve Equation t Generators 7056x1 [0,0,0,441,-18522] 2 [246:3870:1] 7056x2 [0,0,0,-8379,-277830] 4 [-45:90:1] 7056x3 [0,0,0,-131859,-18429390] 2 [1015:29890:1] 7056x4 [0,0,0,-26019,1278018] 2 [189:1764:1]
7056y (1 curve)	1	2+ 3- 7-	2+ 3-  2 7- -6  3  4 -5
Curve Equation t Generators 7056y1 [0,0,0,-84,812] 1 [1:27:1]
7056z (6 curves)	1	2+ 3- 7-	2+ 3- -2 7-  4  2  2 -4
Curve Equation t Generators 7056z1 [0,0,0,294,-2401] 2 [91:882:1] 7056z2 [0,0,0,-1911,-24010] 4 [-26:90:1] 7056z3 [0,0,0,-28371,-1839166] 2 [1666:9065:8] 7056z4 [0,0,0,-10731,408170] 4 [-77:882:1] 7056z5 [0,0,0,-169491,26857586] 2 [245:196:1] 7056z6 [0,0,0,6909,1618274] 2 [-49:1078:1]
7056ba (2 curves)	1	2+ 3- 7-	2+ 3- -4 7-  0  0 -2 -2
Curve Equation t Generators 7056ba1 [0,0,0,-147,37730] 2 [-7:196:1] 7056ba2 [0,0,0,-17787,902090] 2 [7:882:1]
7056bb (2 curves)	0	2- 3+ 7+	2- 3+  0 7+  0  5  0  1
Curve Equation t 7056bb1 [0,0,0,0,-9604] 1 7056bb2 [0,0,0,0,259308] 1
7056bc (2 curves)	0	2- 3+ 7+	2- 3+  0 7+  0 -7  0  7
Curve Equation t 7056bc1 [0,0,0,0,-784] 1 7056bc2 [0,0,0,0,21168] 1
7056bd (2 curves)	0	2- 3+ 7+	2- 3+  3 7+  3  2  6 -2
Curve Equation t 7056bd1 [0,0,0,1029,869162] 1 7056bd2 [0,0,0,-657531,205242282] 1
7056be (2 curves)	0	2- 3+ 7+	2- 3+ -3 7+ -3  2 -6 -2
Curve Equation t 7056be1 [0,0,0,-73059,-7601566] 1 7056be2 [0,0,0,9261,-23467374] 1
7056bf (4 curves)	1	2- 3+ 7-	2- 3+  0 7-  0 -2  0  8
Curve Equation t Generators 7056bf1 [0,0,0,0,343] 2 [21:98:1] 7056bf2 [0,0,0,-735,7546] 2 [2:78:1] 7056bf3 [0,0,0,0,-9261] 2 [3570:75411:8] 7056bf4 [0,0,0,-6615,-203742] 2 [97062:2021201:216]
7056bg (2 curves)	1	2- 3+ 7-	2- 3+  0 7-  0 -5  0 -1
Curve Equation t Generators 7056bg1 [0,0,0,0,28] 1 [2:6:1] 7056bg2 [0,0,0,0,-756] 1 [30:162:1]
7056bh (2 curves)	1	2- 3+ 7-	2- 3+  0 7-  0  7  0 -7
Curve Equation t Generators 7056bh1 [0,0,0,0,268912] 1 [-31:489:1] 7056bh2 [0,0,0,0,-7260624] 1 [32421567:1066551543:29791]
7056bi (2 curves)	1	2- 3+ 7-	2- 3+  3 7- -3 -2  6  2
Curve Equation t Generators 7056bi1 [0,0,0,-1491,22162] 1 [23:6:1] 7056bi2 [0,0,0,189,68418] 1 [-33:162:1]
7056bj (2 curves)	1	2- 3+ 7-	2- 3+ -3 7-  3 -2 -6  2
Curve Equation t Generators 7056bj1 [0,0,0,21,-2534] 1 [53:384:1] 7056bj2 [0,0,0,-13419,-598374] 1 [165:1296:1]
7056bk (2 curves)	1	2- 3- 7+	2- 3- -1 7+  5  0  4 -8
Curve Equation t Generators 7056bk1 [0,0,0,-7203,542626] 1 [-49:882:1] 7056bk2 [0,0,0,-995043,-396371486] 1 [4655:309582:1]
7056bl (1 curve)	1	2- 3- 7+	2- 3-  2 7+  2 -3 -8  1
Curve Equation t Generators 7056bl1 [0,0,0,1176,-3332] 1 [14:126:1]
7056bm (2 curves)	1	2- 3- 7+	2- 3-  2 7+ -2  1  0 -1
Curve Equation t Generators 7056bm1 [0,0,0,-16464,883568] 1 [49:441:1] 7056bm2 [0,0,0,-6437424,-6291657232] 1 [64011493:10883367117:2197]
7056bn (2 curves)	1	2- 3- 7+	2- 3- -3 7+  3 -4  0  4
Curve Equation t Generators 7056bn1 [0,0,0,3381,-92806] 1 [37:288:1] 7056bn2 [0,0,0,-102459,-12687766] 1 [3565:211968:1]
7056bo (2 curves)	1	2- 3- 7+	2- 3- -3 7+ -3  2 -3  1
Curve Equation t Generators 7056bo1 [0,0,0,-1029,-2401] 1 [-10:83:1] 7056bo2 [0,0,0,-62769,-6052921] 1 [-29738006:376571:205379]
7056bp (6 curves)	0	2- 3- 7-	2- 3-  0 7-  0  4  6  2
Curve Equation t 7056bp1 [0,0,0,-3675,-173558] 2 7056bp2 [0,0,0,-74235,-7779926] 2 7056bp3 [0,0,0,31605,3629626] 2 7056bp4 [0,0,0,-250635,39587002] 2 7056bp5 [0,0,0,-1203195,509453098] 2 7056bp6 [0,0,0,-19266555,32550241066] 2
7056bq (4 curves)	0	2- 3- 7-	2- 3-  0 7-  4  0  0  0
Curve Equation t 7056bq1 [0,0,0,-315,-2646] 2 7056bq2 [0,0,0,-5355,-150822] 2 7056bq3 [0,0,0,-15435,907578] 2 7056bq4 [0,0,0,-262395,51731946] 2
7056br (4 curves)	0	2- 3- 7-	2- 3-  0 7- -6 -2  0 -4
Curve Equation t 7056br1 [0,0,0,2940,20923] 2 7056br2 [0,0,0,-12495,172186] 2 7056br3 [0,0,0,-49980,4429159] 2 7056br4 [0,0,0,-806295,278668978] 2
7056bs (2 curves)	0	2- 3- 7-	2- 3-  1 7-  5  0 -4  8
Curve Equation t 7056bs1 [0,0,0,-147,-1582] 1 7056bs2 [0,0,0,-20307,1155602] 1
7056bt (2 curves)	0	2- 3- 7-	2- 3-  2 7-  2  4  6  8
Curve Equation t 7056bt1 [0,0,0,-84,-245] 2 7056bt2 [0,0,0,-399,2842] 2
7056bu (1 curve)	0	2- 3- 7-	2- 3- -2 7-  2  3  8 -1
Curve Equation t 7056bu1 [0,0,0,57624,1142876] 1
7056bv (2 curves)	0	2- 3- 7-	2- 3- -2 7-  2 -4 -6 -8
Curve Equation t 7056bv1 [0,0,0,-4116,84035] 2 7056bv2 [0,0,0,-19551,-974806] 2
7056bw (2 curves)	0	2- 3- 7-	2- 3- -2 7- -2 -1  0  1
Curve Equation t 7056bw1 [0,0,0,-336,-2576] 1 7056bw2 [0,0,0,-131376,18343024] 1
7056bx (6 curves)	0	2- 3- 7-	2- 3- -2 7-  4  2 -6  4
Curve Equation t 7056bx1 [0,0,0,6909,48706] 2 7056bx2 [0,0,0,-28371,394450] 4 7056bx3 [0,0,0,-275331,-55270334] 2 7056bx4 [0,0,0,-345891,78186850] 4 7056bx5 [0,0,0,-5532051,5008150546] 2 7056bx6 [0,0,0,-240051,126936754] 2
7056by (6 curves)	0	2- 3- 7-	2- 3- -2 7- -4 -6  2 -4
Curve Equation t 7056by1 [0,0,0,-28371,-4061806] 2 7056by2 [0,0,0,-592851,-175550830] 4 7056by3 [0,0,0,-9483411,-11240741806] 2 7056by4 [0,0,0,-733971,-85657390] 4 7056by5 [0,0,0,-6449331,6243532274] 2 7056by6 [0,0,0,2723469,-661666894] 2
7056bz (2 curves)	0	2- 3- 7-	2- 3-  3 7-  3  4  0 -4
Curve Equation t 7056bz1 [0,0,0,165669,31832458] 1 7056bz2 [0,0,0,-5020491,4351903738] 1
7056ca (2 curves)	0	2- 3- 7-	2- 3-  3 7- -3 -2  3 -1
Curve Equation t 7056ca1 [0,0,0,-21,7] 1 7056ca2 [0,0,0,-1281,17647] 1
7056cb (2 curves)	0	2- 3- 7-	2- 3-  4 7-  2  6 -4 -4
Curve Equation t 7056cb1 [0,0,0,-588,22295] 2 7056cb2 [0,0,0,-16023,778610] 2
7056cc (2 curves)	0	2- 3- 7-	2- 3-  4 7- -4 -4  0  4
Curve Equation t 7056cc1 [0,0,0,357,55370] 2 7056cc2 [0,0,0,-19803,1043210] 2
7056cd (2 curves)	0	2- 3- 7-	2- 3- -4 7- -4  4  0 -4
Curve Equation t 7056cd1 [0,0,0,17493,-18991910] 2 7056cd2 [0,0,0,-970347,-357821030] 2

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