Cremona's table of elliptic curves

113680 = 2⁴ · 5 · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
113680a (1 curve)	0	2+ 5+ 7+ 29-	2+ -2 5+ 7+  1  6 -7 -4
Curve Equation t 113680a1 [0,1,0,-11776,-497820] 1
113680b (1 curve)	0	2+ 5+ 7+ 29-	2+ -2 5+ 7+ -5  2 -3 -4
Curve Equation t 113680b1 [0,1,0,-16,-22716] 1
113680c (2 curves)	0	2+ 5+ 7- 29+	2+  2 5+ 7- -4  6  8 -2
Curve Equation t 113680c1 [0,-1,0,964,-100960] 2 113680c2 [0,-1,0,-27456,-1669744] 2
113680d (4 curves)	1	2+ 5+ 7- 29-	2+  0 5+ 7-  0  2  6 -8
Curve Equation t Generators 113680d1 [0,0,0,-11858,497007] 2 [-49:980:1] 113680d2 [0,0,0,-12103,475398] 4 [338:5916:1] 113680d3 [0,0,0,12397,2156098] 2 [-69:986:1] 113680d4 [0,0,0,-40523,-2588278] 2 [-91:588:1]
113680e (4 curves)	1	2+ 5+ 7- 29-	2+  0 5+ 7- -4 -6  2 -4
Curve Equation t Generators 113680e1 [0,0,0,-23618,1395667] 2 [-21:1372:1] 113680e2 [0,0,0,-29743,615342] 4 [282:3828:1] 113680e3 [0,0,0,112357,4793082] 2 [4674:146476:27] 113680e4 [0,0,0,-269843,-53503198] 2 [-293:638:1]
113680f (1 curve)	1	2+ 5+ 7- 29-	2+ -1 5+ 7- -6  4  6  3
Curve Equation t Generators 113680f1 [0,-1,0,-7121,234445] 1 [68:245:1]
113680g (2 curves)	1	2+ 5- 7- 29+	2+  2 5- 7-  0  2  4  0
Curve Equation t Generators 113680g1 [0,-1,0,-2515,-18738] 2 [-222:980:27] 113680g2 [0,-1,0,-33140,-2309488] 2 [4069:259260:1]
113680h (2 curves)	1	2+ 5- 7- 29+	2+  2 5- 7-  0 -6  0  0
Curve Equation t Generators 113680h1 [0,-1,0,-555,-2470] 2 [6864902:53687787:97336] 113680h2 [0,-1,0,-7660,-255408] 2 [6204:85652:27]
113680i (2 curves)	1	2+ 5- 7- 29+	2+  2 5- 7- -4  2  0 -6
Curve Equation t Generators 113680i1 [0,-1,0,-326895,56153882] 2 [9014:854070:1] 113680i2 [0,-1,0,744980,346417632] 2 [1941774:184987495:216]
113680j (2 curves)	1	2+ 5- 7- 29+	2+ -2 5- 7-  0  2  0  4
Curve Equation t Generators 113680j1 [0,1,0,-100515,12231400] 2 [380:5390:1] 113680j2 [0,1,0,-107620,10395468] 2 [-194:4900:1]
113680k (2 curves)	1	2+ 5- 7- 29+	2+ -2 5- 7-  4 -6 -4  4
Curve Equation t Generators 113680k1 [0,1,0,-594435,-1791812] 2 [1385347176935416:-118455432552791866:187443868067] 113680k2 [0,1,0,-6569740,-6464681700] 2 [-313424638:632282084:205379]
113680l (2 curves)	1	2+ 5- 7- 29+	2+ -2 5- 7- -4  2  0  4
Curve Equation t Generators 113680l1 [0,1,0,-555,4528] 2 [-12:98:1] 113680l2 [0,1,0,-1780,-23892] 2 [83:638:1]
113680m (2 curves)	1	2+ 5- 7- 29+	2+ -2 5- 7- -4  2 -4  0
Curve Equation t Generators 113680m1 [0,1,0,-4475,109780] 2 [874:7743:8] 113680m2 [0,1,0,-11580,-333572] 2 [226:2940:1]
113680n (2 curves)	0	2+ 5- 7- 29-	2+  0 5- 7-  0  2  6  6
Curve Equation t 113680n1 [0,0,0,98,11319] 2 113680n2 [0,0,0,-7007,220206] 2
113680o (1 curve)	0	2+ 5- 7- 29-	2+  1 5- 7- -2  0  2  1
Curve Equation t 113680o1 [0,1,0,-62785,27385483] 1
113680p (1 curve)	0	2+ 5- 7- 29-	2+  2 5- 7-  1 -6  7  4
Curve Equation t 113680p1 [0,-1,0,-240,1520] 1
113680q (1 curve)	0	2+ 5- 7- 29-	2+  2 5- 7- -5 -2  3  4
Curve Equation t 113680q1 [0,-1,0,-800,7790000] 1
113680r (1 curve)	0	2- 5+ 7+ 29+	2-  0 5+ 7+ -4  3 -7  0
Curve Equation t 113680r1 [0,0,0,-20923,-14650902] 1
113680s (1 curve)	1	2- 5+ 7+ 29-	2-  0 5+ 7+ -1  0  5  0
Curve Equation t Generators 113680s1 [0,0,0,-95719883,360455849082] 1 [5663:2030:1]
113680t (1 curve)	1	2- 5+ 7+ 29-	2-  0 5+ 7+ -1 -5  0 -5
Curve Equation t Generators 113680t1 [0,0,0,-75803,-13498422] 1 [21764:14239:64]
113680u (1 curve)	1	2- 5+ 7+ 29-	2-  0 5+ 7+  3  0 -3 -8
Curve Equation t Generators 113680u1 [0,0,0,6517,292922] 1 [319:5902:1]
113680v (1 curve)	1	2- 5+ 7+ 29-	2-  0 5+ 7+ -4 -5  3  4
Curve Equation t Generators 113680v1 [0,0,0,-50323,4464978] 1 [121:384:1]
113680w (2 curves)	1	2- 5+ 7+ 29-	2-  2 5+ 7+  3  2  3  4
Curve Equation t Generators 113680w1 [0,-1,0,317504,-511841280] 1 [25185367676190:197470343220870:36693659267] 113680w2 [0,-1,0,-2865536,14035924736] 1 [-227998327851840639006282827766233689714:5498171122669545096970142266543496396790:87737237636331039669356453094931019]
113680x (1 curve)	1	2- 5+ 7+ 29-	2- -2 5+ 7+  1  2 -1  4
Curve Equation t Generators 113680x1 [0,1,0,-807536,284795860] 1 [604:4214:1]
113680y (2 curves)	1	2- 5+ 7- 29+	2-  0 5+ 7-  0  2  2 -4
Curve Equation t Generators 113680y1 [0,0,0,-34643,28471058] 2 [121:5104:1] 113680y2 [0,0,0,-1626163,792718962] 2 [807:2442:1]
113680z (2 curves)	1	2- 5+ 7- 29+	2-  0 5+ 7-  4  6  4  4
Curve Equation t Generators 113680z1 [0,0,0,-1568,-10633] 2 [909194:3797347:17576] 113680z2 [0,0,0,5537,-80262] 2 [24512468994:-271591682727:890277128]
113680ba (4 curves)	1	2- 5+ 7- 29+	2- -2 5+ 7-  0 -2  0  2
Curve Equation t Generators 113680ba1 [0,1,0,1301424,-305716076] 2 [324:12250:1] 113680ba2 [0,1,0,-5974096,-2613511020] 2 [-796:40474:1] 113680ba3 [0,1,0,-25354576,-50065882476] 2 [13764:1486170:1] 113680ba4 [0,1,0,-407774096,-3169538391020] 2 [17057988:-231636950:729]
113680bb (2 curves)	1	2- 5+ 7- 29+	2- -2 5+ 7-  2 -2  2  2
Curve Equation t Generators 113680bb1 [0,1,0,-11041,-441666] 2 [3918:27440:27] 113680bb2 [0,1,0,964,-1339640] 2 [504413:19350192:343]
113680bc (4 curves)	1	2- 5+ 7- 29+	2- -2 5+ 7- -6 -2 -6  2
Curve Equation t Generators 113680bc1 [0,1,0,-7400241,7746020470] 2 [58854:1200500:27] 113680bc2 [0,1,0,-7388236,7772417064] 2 [1035:35148:1] 113680bc3 [0,1,0,-8037241,6333139770] 2 [-186492:4534215:64] 113680bc4 [0,1,0,20786764,41463837064] 2 [-71578498668:5115537685475:51478848]
113680bd (4 curves)	0	2- 5+ 7- 29-	2-  0 5+ 7-  0  2 -2  4
Curve Equation t 113680bd1 [0,0,0,12397,87122] 2 113680bd2 [0,0,0,-50323,701778] 4 113680bd3 [0,0,0,-505043,-137442158] 2 113680bd4 [0,0,0,-599123,178183698] 2
113680be (1 curve)	2	2- 5+ 7- 29-	2- -1 5+ 7-  0  6 -2 -7
Curve Equation t Generators 113680be1 [0,-1,0,-10061,767761] 1 [33:-686:1]&[41:650:1]
113680bf (1 curve)	0	2- 5+ 7- 29-	2- -1 5+ 7- -2  4 -2 -1
Curve Equation t 113680bf1 [0,-1,0,-909701,-334452215] 1
113680bg (1 curve)	0	2- 5+ 7- 29-	2-  2 5+ 7-  1  5  2  3
Curve Equation t 113680bg1 [0,-1,0,3898424,13439406576] 1
113680bh (1 curve)	2	2- 5- 7+ 29-	2- -2 5- 7+  1 -5 -2 -3
Curve Equation t Generators 113680bh1 [0,1,0,79560,-39159212] 1 [268:1218:1]&[326:-4640:1]
113680bi (2 curves)	2	2- 5- 7- 29+	2-  0 5- 7-  0 -2 -2  4
Curve Equation t Generators 113680bi1 [0,0,0,-707,-83006] 2 [63:350:1]&[78:580:1] 113680bi2 [0,0,0,-33187,-2311134] 2 [-105:126:1]&[-103:120:1]
113680bj (2 curves)	0	2- 5- 7- 29+	2-  0 5- 7- -2  6 -2 -2
Curve Equation t 113680bj1 [0,0,0,-55027,-4863054] 2 113680bj2 [0,0,0,7693,-15312206] 2
113680bk (1 curve)	0	2- 5- 7- 29+	2-  0 5- 7- -4 -3  7  0
Curve Equation t 113680bk1 [0,0,0,-427,42714] 1
113680bl (2 curves)	0	2- 5- 7- 29+	2-  0 5- 7-  6 -2  2 -2
Curve Equation t 113680bl1 [0,0,0,-2107,34986] 2 113680bl2 [0,0,0,1813,150234] 2
113680bm (2 curves)	0	2- 5- 7- 29+	2-  2 5- 7-  0  2  0  6
Curve Equation t 113680bm1 [0,-1,0,-4720,-422400] 2 113680bm2 [0,-1,0,-118400,-15610048] 2
113680bn (2 curves)	0	2- 5- 7- 29+	2- -2 5- 7-  2  6  6 -8
Curve Equation t 113680bn1 [0,1,0,-1045,3450] 2 113680bn2 [0,1,0,-9620,-363560] 2
113680bo (4 curves)	0	2- 5- 7- 29+	2- -2 5- 7-  6 -2 -6 -4
Curve Equation t 113680bo1 [0,1,0,-28485,1737658] 2 113680bo2 [0,1,0,-448660,115521048] 2 113680bo3 [0,1,0,-412645,-101764650] 2 113680bo4 [0,1,0,-627020,15112600] 2
113680bp (1 curve)	1	2- 5- 7- 29-	2-  0 5- 7- -1  0 -5  0
Curve Equation t Generators 113680bp1 [0,0,0,-4690274267,-123636356235126] 1 [31925783:180389533750:1]
113680bq (1 curve)	1	2- 5- 7- 29-	2-  0 5- 7- -1  5  0  5
Curve Equation t Generators 113680bq1 [0,0,0,-1547,39354] 1 [-10:232:1]
113680br (2 curves)	1	2- 5- 7- 29-	2-  0 5- 7-  2  2  0 -2
Curve Equation t Generators 113680br1 [0,0,0,-392,-2401] 2 [245:3822:1] 113680br2 [0,0,0,833,-14406] 2 [52710:828737:216]
113680bs (2 curves)	1	2- 5- 7- 29-	2-  0 5- 7-  2 -6 -8 -6
Curve Equation t Generators 113680bs1 [0,0,0,-394352,95284371] 2 [2226:21315:8] 113680bs2 [0,0,0,-334327,125284866] 2 [330:7134:1]
113680bt (1 curve)	1	2- 5- 7- 29-	2-  0 5- 7-  3  0  3  8
Curve Equation t Generators 113680bt1 [0,0,0,133,-854] 1 [135:1574:1]
113680bu (1 curve)	1	2- 5- 7- 29-	2-  0 5- 7- -4  5 -3 -4
Curve Equation t Generators 113680bu1 [0,0,0,-2465827,-1531487454] 1 [6577:516480:1]
113680bv (2 curves)	1	2- 5- 7- 29-	2-  0 5- 7- -6 -6  0 -4
Curve Equation t Generators 113680bv1 [0,0,0,-3332,40131] 2 [77:490:1] 113680bv2 [0,0,0,-46207,3821706] 2 [242:2610:1]
113680bw (1 curve)	1	2- 5- 7- 29-	2-  1 5- 7-  0 -6  2  7
Curve Equation t Generators 113680bw1 [0,1,0,-205,-2297] 1 [51:350:1]
113680bx (3 curves)	1	2- 5- 7- 29-	2-  1 5- 7- -6  4  6 -7
Curve Equation t Generators 113680bx1 [0,1,0,351403435,-608920383037] 1 [211766:97828745:1] 113680bx2 [0,1,0,-5576099125,-166445871828125] 1 [217276112144250:94418628161071375:997002999] 113680bx3 [0,1,0,-456482362485,-118709280644329117] 1 [32565920794336111184572464018:-41786525283088040594566205078125:16988996414469947003163]
113680by (1 curve)	1	2- 5- 7- 29-	2-  2 5- 7-  1 -2  1 -4
Curve Equation t Generators 113680by1 [0,-1,0,-16480,-825600] 1 [288750:3195030:1331]
113680bz (2 curves)	1	2- 5- 7- 29-	2- -2 5- 7-  3 -2 -3 -4
Curve Equation t Generators 113680bz1 [0,1,0,6480,1494100] 1 [60:-1450:1] 113680bz2 [0,1,0,-58480,-40937772] 1 [2076:93750:1]
113680ca (1 curve)	1	2- 5- 7- 29-	2- -3 5- 7-  2 -4  6  5
Curve Equation t Generators 113680ca1 [0,0,0,1568,71344] 1 [-7:245:1]

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