Cremona's table of elliptic curves

14112 = 2⁵ · 3² · 7²

Class	r	Atkin-Lehner	Eigenvalues
14112a (1 curve)	1	2+ 3+ 7+	2+ 3+ -3 7+  5  2 -2 -6
Curve Equation t Generators 14112a1 [0,0,0,9261,129654] 1 [57:918:1]
14112b (1 curve)	1	2+ 3+ 7+	2+ 3+ -3 7+ -5  2 -2  6
Curve Equation t Generators 14112b1 [0,0,0,9261,-129654] 1 [294:5292:1]
14112c (2 curves)	0	2+ 3+ 7-	2+ 3+  0 7-  4 -2 -4  0
Curve Equation t 14112c1 [0,0,0,-19845,1407672] 2 14112c2 [0,0,0,-343980,77644224] 2
14112d (2 curves)	0	2+ 3+ 7-	2+ 3+  0 7- -4 -2 -4  0
Curve Equation t 14112d1 [0,0,0,-19845,-1407672] 2 14112d2 [0,0,0,-343980,-77644224] 2
14112e (2 curves)	0	2+ 3+ 7-	2+ 3+  2 7-  0  4 -2  0
Curve Equation t 14112e1 [0,0,0,-189,0] 2 14112e2 [0,0,0,756,0] 2
14112f (2 curves)	0	2+ 3+ 7-	2+ 3+ -2 7-  0 -4  2  0
Curve Equation t 14112f1 [0,0,0,-9261,0] 2 14112f2 [0,0,0,37044,0] 2
14112g (1 curve)	0	2+ 3+ 7-	2+ 3+  3 7-  5 -2  2  6
Curve Equation t 14112g1 [0,0,0,189,-378] 1
14112h (1 curve)	0	2+ 3+ 7-	2+ 3+  3 7- -5 -2  2 -6
Curve Equation t 14112h1 [0,0,0,189,378] 1
14112i (2 curves)	0	2+ 3+ 7-	2+ 3+  4 7-  0  6  8  0
Curve Equation t 14112i1 [0,0,0,147,0] 2 14112i2 [0,0,0,-588,0] 2
14112j (1 curve)	0	2+ 3- 7+	2+ 3-  0 7+ -2  1  2 -5
Curve Equation t 14112j1 [0,0,0,-41160,-9872912] 1
14112k (1 curve)	0	2+ 3- 7+	2+ 3- -1 7+  1  0  8  4
Curve Equation t 14112k1 [0,0,0,28077,-168266] 1
14112l (1 curve)	0	2+ 3- 7+	2+ 3- -1 7+ -1  0  8 -4
Curve Equation t 14112l1 [0,0,0,28077,168266] 1
14112m (1 curve)	0	2+ 3- 7+	2+ 3-  4 7+  6  5 -2 -1
Curve Equation t 14112m1 [0,0,0,8232,-192080] 1
14112n (1 curve)	0	2+ 3- 7+	2+ 3-  4 7+ -6  5 -2  1
Curve Equation t 14112n1 [0,0,0,8232,192080] 1
14112o (1 curve)	1	2+ 3- 7-	2+ 3-  0 7- -2 -1 -2  5
Curve Equation t Generators 14112o1 [0,0,0,-840,28784] 1 [100:972:1]
14112p (2 curves)	1	2+ 3- 7-	2+ 3-  0 7- -2  2  4 -4
Curve Equation t Generators 14112p1 [0,0,0,735,-42532] 2 [77:686:1] 14112p2 [0,0,0,-14700,-647584] 2 [-70:196:1]
14112q (1 curve)	1	2+ 3- 7-	2+ 3-  1 7-  1  0 -8 -4
Curve Equation t Generators 14112q1 [0,0,0,1375773,57715238] 1 [-11569:91379826:12167]
14112r (1 curve)	1	2+ 3- 7-	2+ 3-  1 7- -1  0 -8  4
Curve Equation t Generators 14112r1 [0,0,0,1375773,-57715238] 1 [497336686:-23870308932:456533]
14112s (4 curves)	1	2+ 3- 7-	2+ 3-  2 7-  0 -2  2  4
Curve Equation t Generators 14112s1 [0,0,0,-9849,-301840] 4 [5124:58310:27] 14112s2 [0,0,0,-148764,-22083712] 2 [1876:79380:1] 14112s3 [0,0,0,-49539,3976742] 2 [721:18522:1] 14112s4 [0,0,0,21021,-1814470] 2 [21530670:-321483610:132651]
14112t (4 curves)	1	2+ 3- 7-	2+ 3-  2 7-  0 -2  2 -4
Curve Equation t Generators 14112t1 [0,0,0,-9849,301840] 4 [1260:44590:1] 14112t2 [0,0,0,-49539,-3976742] 2 [-138790:474669:1000] 14112t3 [0,0,0,-148764,22083712] 2 [-364:5292:1] 14112t4 [0,0,0,21021,1814470] 2 [-63:490:1]
14112u (2 curves)	1	2+ 3- 7-	2+ 3-  2 7- -2  0  2  0
Curve Equation t Generators 14112u1 [0,0,0,-2289,42140] 2 [35:70:1] 14112u2 [0,0,0,-2604,29792] 2 [-14:252:1]
14112v (4 curves)	1	2+ 3- 7-	2+ 3-  2 7-  4  2 -6 -4
Curve Equation t Generators 14112v1 [0,0,0,-1029,-6860] 4 [560:13230:1] 14112v2 [0,0,0,-14259,-655130] 2 [70630:1637874:125] 14112v3 [0,0,0,-7644,252448] 2 [-91:441:1] 14112v4 [0,0,0,3381,-50078] 2 [15078:358190:27]
14112w (2 curves)	1	2+ 3- 7-	2+ 3-  2 7-  4 -6 -4  6
Curve Equation t Generators 14112w1 [0,0,0,-1029,-67228] 2 [62293:821484:343] 14112w2 [0,0,0,-31899,-2184910] 2 [536798906:3656408470:2352637]
14112x (4 curves)	1	2+ 3- 7-	2+ 3- -2 7-  0 -6  2  0
Curve Equation t Generators 14112x1 [0,0,0,-441,0] 4 [-3:36:1] 14112x2 [0,0,0,-4851,-129654] 2 [154:1666:1] 14112x3 [0,0,0,-4851,129654] 2 [49:98:1] 14112x4 [0,0,0,1764,0] 2 [144:1800:1]
14112y (2 curves)	1	2+ 3- 7-	2+ 3- -2 7- -2  0 -2  0
Curve Equation t Generators 14112y1 [0,0,0,-112161,-14454020] 2 [-195:50:1] 14112y2 [0,0,0,-127596,-10218656] 2 [-294:1372:1]
14112z (4 curves)	1	2+ 3- 7-	2+ 3- -2 7-  4  6 -2 -4
Curve Equation t Generators 14112z1 [0,0,0,-6321,-178360] 4 [3493:206388:1] 14112z2 [0,0,0,-98931,-11976874] 2 [385:2646:1] 14112z3 [0,0,0,-21756,1031744] 2 [-35:1323:1] 14112z4 [0,0,0,6909,-826630] 2 [27938:1651455:8]
14112ba (2 curves)	1	2+ 3- 7-	2+ 3- -2 7-  4  6  4 -6
Curve Equation t Generators 14112ba1 [0,0,0,-21,196] 2 [0:14:1] 14112ba2 [0,0,0,-651,6370] 2 [18:22:1]
14112bb (4 curves)	1	2+ 3- 7-	2+ 3- -2 7- -4  6 -2  4
Curve Equation t Generators 14112bb1 [0,0,0,-6321,178360] 4 [-19:540:1] 14112bb2 [0,0,0,-21756,-1031744] 2 [-91:441:1] 14112bb3 [0,0,0,-98931,11976874] 2 [1906:11115:8] 14112bb4 [0,0,0,6909,826630] 2 [-7:882:1]
14112bc (2 curves)	1	2+ 3- 7-	2+ 3- -4 7- -2  2  0 -4
Curve Equation t Generators 14112bc1 [0,0,0,92463,-15688820] 2 [221:3942:1] 14112bc2 [0,0,0,-663852,-163926560] 2 [-574:5292:1]
14112bd (1 curve)	1	2+ 3- 7-	2+ 3- -4 7-  6 -5  2  1
Curve Equation t Generators 14112bd1 [0,0,0,168,560] 1 [4:36:1]
14112be (1 curve)	1	2+ 3- 7-	2+ 3- -4 7- -6 -5  2 -1
Curve Equation t Generators 14112be1 [0,0,0,168,-560] 1 [8:36:1]
14112bf (1 curve)	0	2- 3+ 7+	2- 3+  3 7+  5  2  2  6
Curve Equation t 14112bf1 [0,0,0,1029,4802] 1
14112bg (1 curve)	0	2- 3+ 7+	2- 3+  3 7+ -5  2  2 -6
Curve Equation t 14112bg1 [0,0,0,1029,-4802] 1
14112bh (2 curves)	1	2- 3+ 7-	2- 3+  0 7-  4 -2  4  0
Curve Equation t Generators 14112bh1 [0,0,0,-2205,52136] 2 [-35:294:1] 14112bh2 [0,0,0,-38220,2875712] 2 [109:69:1]
14112bi (2 curves)	1	2- 3+ 7-	2- 3+  0 7- -4 -2  4  0
Curve Equation t Generators 14112bi1 [0,0,0,-2205,-52136] 2 [231:3430:1] 14112bi2 [0,0,0,-38220,-2875712] 2 [34020:327908:125]
14112bj (2 curves)	1	2- 3+ 7-	2- 3+  2 7-  0 -4 -2  0
Curve Equation t Generators 14112bj1 [0,0,0,-1029,0] 2 [-27:90:1] 14112bj2 [0,0,0,4116,0] 2 [300:5860:27]
14112bk (2 curves)	1	2- 3+ 7-	2- 3+ -2 7-  0  4  2  0
Curve Equation t Generators 14112bk1 [0,0,0,-21,0] 2 [-3:6:1] 14112bk2 [0,0,0,84,0] 2 [4:20:1]
14112bl (1 curve)	1	2- 3+ 7-	2- 3+ -3 7-  5 -2 -2 -6
Curve Equation t Generators 14112bl1 [0,0,0,21,-14] 1 [2:6:1]
14112bm (1 curve)	1	2- 3+ 7-	2- 3+ -3 7- -5 -2 -2  6
Curve Equation t Generators 14112bm1 [0,0,0,21,14] 1 [1:6:1]
14112bn (2 curves)	1	2- 3+ 7-	2- 3+ -4 7-  0  6 -8  0
Curve Equation t Generators 14112bn1 [0,0,0,1323,0] 2 [7:98:1] 14112bn2 [0,0,0,-5292,0] 2 [-27:351:1]
14112bo (1 curve)	1	2- 3- 7+	2- 3-  0 7+  2  1  2  5
Curve Equation t Generators 14112bo1 [0,0,0,-41160,9872912] 1 [-272:972:1]
14112bp (1 curve)	1	2- 3- 7+	2- 3-  0 7+  2  5  2 -3
Curve Equation t Generators 14112bp1 [0,0,0,-5880,-174832] 1 [112:756:1]
14112bq (1 curve)	1	2- 3- 7+	2- 3-  0 7+ -2  5  2  3
Curve Equation t Generators 14112bq1 [0,0,0,-5880,174832] 1 [44:36:1]
14112br (1 curve)	1	2- 3- 7+	2- 3- -3 7+  1 -4 -4  0
Curve Equation t Generators 14112br1 [0,0,0,-31899,-2223326] 1 [722:18738:1]
14112bs (1 curve)	1	2- 3- 7+	2- 3- -3 7+ -1 -4 -4  0
Curve Equation t Generators 14112bs1 [0,0,0,-31899,2223326] 1 [49:882:1]
14112bt (1 curve)	0	2- 3- 7-	2- 3-  0 7-  2 -1 -2 -5
Curve Equation t 14112bt1 [0,0,0,-840,-28784] 1
14112bu (2 curves)	0	2- 3- 7-	2- 3-  0 7-  2  2  4  4
Curve Equation t 14112bu1 [0,0,0,735,42532] 2 14112bu2 [0,0,0,-14700,647584] 2
14112bv (1 curve)	0	2- 3- 7-	2- 3-  0 7-  2 -5 -2  3
Curve Equation t 14112bv1 [0,0,0,-288120,59967376] 1
14112bw (1 curve)	0	2- 3- 7-	2- 3-  0 7- -2 -5 -2 -3
Curve Equation t 14112bw1 [0,0,0,-288120,-59967376] 1
14112bx (2 curves)	0	2- 3- 7-	2- 3-  0 7-  4  4 -2  6
Curve Equation t 14112bx1 [0,0,0,735,-5488] 2 14112bx2 [0,0,0,-3675,-48706] 2
14112by (2 curves)	0	2- 3- 7-	2- 3-  0 7- -4  4 -2 -6
Curve Equation t 14112by1 [0,0,0,735,5488] 2 14112by2 [0,0,0,-3675,48706] 2
14112bz (2 curves)	0	2- 3- 7-	2- 3-  2 7-  2  0  2  0
Curve Equation t 14112bz1 [0,0,0,-2289,-42140] 2 14112bz2 [0,0,0,-2604,-29792] 2
14112ca (4 curves)	0	2- 3- 7-	2- 3-  2 7- -4  2 -6  4
Curve Equation t 14112ca1 [0,0,0,-1029,6860] 4 14112ca2 [0,0,0,-7644,-252448] 2 14112ca3 [0,0,0,-14259,655130] 2 14112ca4 [0,0,0,3381,50078] 2
14112cb (2 curves)	0	2- 3- 7-	2- 3-  2 7- -4 -6 -4 -6
Curve Equation t 14112cb1 [0,0,0,-1029,67228] 2 14112cb2 [0,0,0,-31899,2184910] 2
14112cc (2 curves)	0	2- 3- 7-	2- 3- -2 7-  2  0 -2  0
Curve Equation t 14112cc1 [0,0,0,-112161,14454020] 2 14112cc2 [0,0,0,-127596,10218656] 2
14112cd (2 curves)	0	2- 3- 7-	2- 3- -2 7- -4  6  4  6
Curve Equation t 14112cd1 [0,0,0,-21,-196] 2 14112cd2 [0,0,0,-651,-6370] 2
14112ce (1 curve)	0	2- 3- 7-	2- 3-  3 7-  1  4  4  0
Curve Equation t 14112ce1 [0,0,0,-651,6482] 1
14112cf (1 curve)	0	2- 3- 7-	2- 3-  3 7- -1  4  4  0
Curve Equation t 14112cf1 [0,0,0,-651,-6482] 1
14112cg (2 curves)	0	2- 3- 7-	2- 3-  4 7-  0  4  8  0
Curve Equation t 14112cg1 [0,0,0,3087,0] 2 14112cg2 [0,0,0,-12348,0] 2
14112ch (2 curves)	2	2- 3- 7-	2- 3- -4 7-  0 -4 -8  0
Curve Equation t Generators 14112ch1 [0,0,0,63,0] 2 [1:8:1]&[7:28:1] 14112ch2 [0,0,0,-252,0] 2 [-14:28:1]&[-12:36:1]
14112ci (2 curves)	0	2- 3- 7-	2- 3- -4 7-  2  2  0  4
Curve Equation t 14112ci1 [0,0,0,92463,15688820] 2 14112ci2 [0,0,0,-663852,163926560] 2

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