Cremona's table of elliptic curves

103968 = 2⁵ · 3² · 19²

Class	r	Atkin-Lehner	Eigenvalues
103968a (2 curves)	1	2+ 3+ 19+	2+ 3+  4  0  0  4 -8 19+
Curve Equation t Generators 103968a1 [0,0,0,-185193,0] 2 [-1313519608125:-72002499914700:21740999671] 103968a2 [0,0,0,740772,0] 2 [4754129187932003797773200:-271084205645242361734016168:1582154711729604265625]
103968b (2 curves)	1	2+ 3+ 19+	2+ 3+ -4  0  0 -4  8 19+
Curve Equation t Generators 103968b1 [0,0,0,-57,0] 2 [-3:12:1] 103968b2 [0,0,0,228,0] 2 [16:88:1]
103968c (2 curves)	0	2+ 3+ 19-	2+ 3+  2 -4  6  4  0 19-
Curve Equation t 103968c1 [0,0,0,-68229,6666948] 2 103968c2 [0,0,0,-165699,-16667370] 2
103968d (2 curves)	0	2+ 3+ 19-	2+ 3+ -2  4  6  4  0 19-
Curve Equation t 103968d1 [0,0,0,-7581,246924] 2 103968d2 [0,0,0,-18411,-617310] 2
103968e (2 curves)	0	2+ 3+ 19-	2+ 3+  4  0  0  6  8 19-
Curve Equation t 103968e1 [0,0,0,9747,0] 2 103968e2 [0,0,0,-38988,0] 2
103968f (2 curves)	0	2+ 3- 19+	2+ 3-  0  0  2  6  6 19+
Curve Equation t 103968f1 [0,0,0,-1425,-20216] 2 103968f2 [0,0,0,285,-65702] 2
103968g (2 curves)	0	2+ 3- 19+	2+ 3-  0  0 -2  6  6 19+
Curve Equation t 103968g1 [0,0,0,-1425,20216] 2 103968g2 [0,0,0,285,65702] 2
103968h (1 curve)	0	2+ 3- 19+	2+ 3-  0  3  6  3  2 19+
Curve Equation t 103968h1 [0,0,0,5415,-85196] 1
103968i (2 curves)	0	2+ 3- 19+	2+ 3-  2  0  0 -4  2 19+
Curve Equation t 103968i1 [0,0,0,61731,0] 2 103968i2 [0,0,0,-246924,0] 2
103968j (1 curve)	0	2+ 3- 19+	2+ 3-  2  3  6  5 -7 19+
Curve Equation t 103968j1 [0,0,0,-28899,1890918] 1
103968k (1 curve)	0	2+ 3- 19+	2+ 3-  2 -3 -6  5 -7 19+
Curve Equation t 103968k1 [0,0,0,-28899,-1890918] 1
103968l (1 curve)	0	2+ 3- 19+	2+ 3- -2  1  0  3 -2 19+
Curve Equation t 103968l1 [0,0,0,-7581,-254144] 1
103968m (1 curve)	0	2+ 3- 19+	2+ 3- -2  1  0 -5  6 19+
Curve Equation t 103968m1 [0,0,0,-5205981,4881303376] 1
103968n (1 curve)	2	2+ 3- 19+	2+ 3- -2 -1  0  3 -2 19+
Curve Equation t Generators 103968n1 [0,0,0,-7581,254144] 1 [-95:342:1]&[19:342:1]
103968o (1 curve)	2	2+ 3- 19+	2+ 3- -2 -1  0 -5  6 19+
Curve Equation t Generators 103968o1 [0,0,0,-5205981,-4881303376] 1 [2665:13122:1]&[2699:26998:1]
103968p (1 curve)	0	2+ 3- 19+	2+ 3- -2  2 -3  2  6 19+
Curve Equation t 103968p1 [0,0,0,-61731,7037334] 1
103968q (1 curve)	0	2+ 3- 19+	2+ 3- -3  3  1  0  3 19+
Curve Equation t 103968q1 [0,0,0,164616,-39617584] 1
103968r (1 curve)	0	2+ 3- 19+	2+ 3- -3 -3 -1  0  3 19+
Curve Equation t 103968r1 [0,0,0,164616,39617584] 1
103968s (1 curve)	0	2+ 3- 19+	2+ 3- -4 -1  2 -1 -2 19+
Curve Equation t 103968s1 [0,0,0,-20577,-2606420] 1
103968t (2 curves)	1	2+ 3- 19-	2+ 3-  0  0  0  0  2 19-
Curve Equation t Generators 103968t1 [0,0,0,-59565,-5569508] 2 [-136:126:1] 103968t2 [0,0,0,-27075,-11619146] 2 [2030:91098:1]
103968u (1 curve)	1	2+ 3- 19-	2+ 3-  0 -3 -6 -3  2 19-
Curve Equation t Generators 103968u1 [0,0,0,1954815,-584359364] 1 [56795:13539294:1]
103968v (1 curve)	1	2+ 3- 19-	2+ 3-  1  1  3  4  3 19-
Curve Equation t Generators 103968v1 [0,0,0,-25992,-2963088] 1 [2356:114076:1]
103968w (1 curve)	1	2+ 3- 19-	2+ 3-  1 -1  5 -4  3 19-
Curve Equation t Generators 103968w1 [0,0,0,-4877832,5641609808] 1 [1402808:54414252:1331]
103968x (4 curves)	1	2+ 3- 19-	2+ 3-  2  4  4 -2 -2 19-
Curve Equation t Generators 103968x1 [0,0,0,-371469,86286220] 4 [5684191620:206524139108:3723875] 103968x2 [0,0,0,-79059,218514022] 2 [740905:57006954:125] 103968x3 [0,0,0,-680124,-77918240] 2 [-609938:21654585:2744] 103968x4 [0,0,0,-5927259,5554294738] 2 [35689034724708605430:-758981578626952978612:17625732834206125]
103968y (1 curve)	1	2+ 3- 19-	2+ 3- -2 -2  3 -2  6 19-
Curve Equation t Generators 103968y1 [0,0,0,-171,1026] 1 [-14:26:1]
103968z (4 curves)	1	2+ 3- 19-	2+ 3- -2 -4 -4  2  6 19-
Curve Equation t Generators 103968z1 [0,0,0,-7581,137180] 4 [1:360:1] 103968z2 [0,0,0,24909,1001414] 2 [-19:722:1] 103968z3 [0,0,0,-56316,-5048224] 2 [26372:413345:64] 103968z4 [0,0,0,-105051,13100690] 2 [418:6498:1]
103968ba (1 curve)	1	2+ 3- 19-	2+ 3- -3 -3  3  0 -1 19-
Curve Equation t Generators 103968ba1 [0,0,0,-3734184,2777510896] 1 [1140:1444:1]
103968bb (1 curve)	1	2+ 3- 19-	2+ 3- -4  1 -2  1 -2 19-
Curve Equation t Generators 103968bb1 [0,0,0,-57,-380] 1 [11:18:1]
103968bc (2 curves)	0	2- 3+ 19+	2- 3+  4  0  0 -4 -8 19+
Curve Equation t 103968bc1 [0,0,0,-513,0] 2 103968bc2 [0,0,0,2052,0] 2
103968bd (2 curves)	0	2- 3+ 19+	2- 3+ -4  0  0  4  8 19+
Curve Equation t 103968bd1 [0,0,0,-20577,0] 2 103968bd2 [0,0,0,82308,0] 2
103968be (2 curves)	1	2- 3+ 19-	2- 3+  2  4 -6  4  0 19-
Curve Equation t Generators 103968be1 [0,0,0,-68229,-6666948] 2 [-2737368:7151410:19683] 103968be2 [0,0,0,-165699,16667370] 2 [397904597370:-5557092839614:843908625]
103968bf (2 curves)	1	2- 3+ 19-	2- 3+ -2 -4 -6  4  0 19-
Curve Equation t Generators 103968bf1 [0,0,0,-7581,-246924] 2 [-51:84:1] 103968bf2 [0,0,0,-18411,617310] 2 [133:722:1]
103968bg (2 curves)	1	2- 3+ 19-	2- 3+ -4  0  0  6 -8 19-
Curve Equation t Generators 103968bg1 [0,0,0,1083,0] 2 [76:722:1] 103968bg2 [0,0,0,-4332,0] 2 [-48:312:1]
103968bh (2 curves)	1	2- 3- 19+	2- 3-  0  0  2 -6  6 19+
Curve Equation t Generators 103968bh1 [0,0,0,-514425,138661544] 2 [1655239:9307132:4913] 103968bh2 [0,0,0,102885,450650018] 2 [5511253686134:-408572807500802:1009027027]
103968bi (2 curves)	1	2- 3- 19+	2- 3-  0  0 -2 -6  6 19+
Curve Equation t Generators 103968bi1 [0,0,0,-514425,-138661544] 2 [-159124:130626:343] 103968bi2 [0,0,0,102885,-450650018] 2 [17391701194:-113939895294:23639903]
103968bj (1 curve)	1	2- 3- 19+	2- 3-  0 -3 -6  3  2 19+
Curve Equation t Generators 103968bj1 [0,0,0,5415,85196] 1 [25:486:1]
103968bk (2 curves)	1	2- 3- 19+	2- 3-  2  0  0  4  2 19+
Curve Equation t Generators 103968bk1 [0,0,0,171,0] 2 [450:3465:8] 103968bk2 [0,0,0,-684,0] 2 [-3:45:1]
103968bl (1 curve)	1	2- 3- 19+	2- 3-  2  3  6 -5 -7 19+
Curve Equation t Generators 103968bl1 [0,0,0,-10432539,-12969806562] 1 [77133865560593411057718034128822558445:3826972422629390216030636282561505630262:15300282319745955504570312577625125]
103968bm (1 curve)	1	2- 3- 19+	2- 3-  2 -3 -6 -5 -7 19+
Curve Equation t Generators 103968bm1 [0,0,0,-10432539,12969806562] 1 [-1127042:37216934:343]
103968bn (1 curve)	1	2- 3- 19+	2- 3- -2 -2  3  2  6 19+
Curve Equation t Generators 103968bn1 [0,0,0,-61731,-7037334] 1 [1341681913214967091361650:10017971825484787609598036:4209638406183601694659]
103968bo (1 curve)	1	2- 3- 19+	2- 3- -3  3  1  0  3 19+
Curve Equation t Generators 103968bo1 [0,0,0,456,5776] 1 [0:76:1]
103968bp (1 curve)	1	2- 3- 19+	2- 3- -3 -3 -1  0  3 19+
Curve Equation t Generators 103968bp1 [0,0,0,456,-5776] 1 [76:684:1]
103968bq (1 curve)	1	2- 3- 19+	2- 3- -4  1 -2 -1 -2 19+
Curve Equation t Generators 103968bq1 [0,0,0,-20577,2606420] 1 [361:6498:1]
103968br (2 curves)	0	2- 3- 19-	2- 3-  0  0  0  0  2 19-
Curve Equation t 103968br1 [0,0,0,-59565,5569508] 2 103968br2 [0,0,0,-27075,11619146] 2
103968bs (1 curve)	0	2- 3- 19-	2- 3-  0  1  2  1 -3 19-
Curve Equation t 103968bs1 [0,0,0,16245,-370386] 1
103968bt (1 curve)	0	2- 3- 19-	2- 3-  0 -1 -2  1 -3 19-
Curve Equation t 103968bt1 [0,0,0,16245,370386] 1
103968bu (1 curve)	0	2- 3- 19-	2- 3-  0  3  6 -3  2 19-
Curve Equation t 103968bu1 [0,0,0,1954815,584359364] 1
103968bv (1 curve)	0	2- 3- 19-	2- 3-  1  1  3  0  7 19-
Curve Equation t 103968bv1 [0,0,0,60648,21619568] 1
103968bw (1 curve)	0	2- 3- 19-	2- 3-  1  1 -5 -4  3 19-
Curve Equation t 103968bw1 [0,0,0,-4877832,-5641609808] 1
103968bx (1 curve)	0	2- 3- 19-	2- 3-  1 -1 -3  0  7 19-
Curve Equation t 103968bx1 [0,0,0,60648,-21619568] 1
103968by (1 curve)	0	2- 3- 19-	2- 3-  1 -1 -3  4  3 19-
Curve Equation t 103968by1 [0,0,0,-25992,2963088] 1
103968bz (4 curves)	0	2- 3- 19-	2- 3-  2  0  0 -6 -2 19-
Curve Equation t 103968bz1 [0,0,0,-3249,0] 4 103968bz2 [0,0,0,12996,0] 2 103968bz3 [0,0,0,-35739,2592702] 2 103968bz4 [0,0,0,-35739,-2592702] 2
103968ca (4 curves)	2	2- 3- 19-	2- 3-  2 -4 -4 -2 -2 19-
Curve Equation t Generators 103968ca1 [0,0,0,-371469,-86286220] 4 [-355:920:1]&[77653:21638340:1] 103968ca2 [0,0,0,-79059,-218514022] 2 [874:19494:1]&[621218:-173108385:8] 103968ca3 [0,0,0,-680124,77918240] 2 [-698:14580:1]&[-323:16245:1] 103968ca4 [0,0,0,-5927259,-5554294738] 2 [2869:32490:1]&[-17097602:-82060:12167]
103968cb (1 curve)	0	2- 3- 19-	2- 3- -2  1  0 -3 -2 19-
Curve Equation t 103968cb1 [0,0,0,-2736741,1743173696] 1
103968cc (1 curve)	0	2- 3- 19-	2- 3- -2  1  0  5  6 19-
Curve Equation t 103968cc1 [0,0,0,-14421,-711664] 1
103968cd (1 curve)	0	2- 3- 19-	2- 3- -2 -1  0 -3 -2 19-
Curve Equation t 103968cd1 [0,0,0,-2736741,-1743173696] 1
103968ce (1 curve)	0	2- 3- 19-	2- 3- -2 -1  0  5  6 19-
Curve Equation t 103968ce1 [0,0,0,-14421,711664] 1
103968cf (1 curve)	0	2- 3- 19-	2- 3- -2  2 -3 -2  6 19-
Curve Equation t 103968cf1 [0,0,0,-171,-1026] 1
103968cg (4 curves)	0	2- 3- 19-	2- 3- -2  4  4  2  6 19-
Curve Equation t 103968cg1 [0,0,0,-7581,-137180] 4 103968cg2 [0,0,0,24909,-1001414] 2 103968cg3 [0,0,0,-56316,5048224] 2 103968cg4 [0,0,0,-105051,-13100690] 2
103968ch (2 curves)	0	2- 3- 19-	2- 3- -2  4  6  2 -6 19-
Curve Equation t 103968ch1 [0,0,0,-7581,2359496] 2 103968ch2 [0,0,0,-316236,68041280] 2
103968ci (2 curves)	0	2- 3- 19-	2- 3- -2 -4 -6  2 -6 19-
Curve Equation t 103968ci1 [0,0,0,-7581,-2359496] 2 103968ci2 [0,0,0,-316236,-68041280] 2
103968cj (1 curve)	0	2- 3- 19-	2- 3- -3  3 -3  0 -1 19-
Curve Equation t 103968cj1 [0,0,0,-3734184,-2777510896] 1
103968ck (1 curve)	0	2- 3- 19-	2- 3- -3  5 -5  4  3 19-
Curve Equation t 103968ck1 [0,0,0,-181944,897815664] 1
103968cl (1 curve)	0	2- 3- 19-	2- 3- -3 -5  5  4  3 19-
Curve Equation t 103968cl1 [0,0,0,-181944,-897815664] 1
103968cm (1 curve)	2	2- 3- 19-	2- 3- -4 -1  2  1 -2 19-
Curve Equation t Generators 103968cm1 [0,0,0,-57,380] 1 [-8:18:1]&[1:18:1]

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